Metrics for math.cos on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample2.5s (20.6%)

Memory

38.2MiB live, 2 277.1MiB allocated

Samples

776.0ms	2 865×	1	valid
640.0ms	4 368×	0	valid
613.0ms	1 023×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 922.0ms (56.1% of total)

ival-sin: 298.0ms (18.1% of total)

ival-mult: 206.0ms (12.5% of total)

adjust: 82.0ms (5% of total)

ival-sub: 76.0ms (4.6% of total)

ival-neg: 44.0ms (2.7% of total)

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

exact: 5.0ms (0.3% of total)

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

Bogosity

explain316.0ms (2.6%)

Memory

-56.4MiB live, 201.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`	cancellation	123	0

Confusion

	Predicted +	Predicted -
+	100	0
-	23	133

Precision

0.8130081300813008

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	0
-	23	1	132

Precision?

0.8064516129032258

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

109.0ms	94×	2	valid
29.0ms	148×	1	valid
24.0ms	270×	0	valid

Compiler

Compiled 81 to 34 computations (58% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-exp: 83.0ms (73.1% of total)

ival-sin: 11.0ms (9.7% of total)

ival-mult: 8.0ms (7% of total)

adjust: 5.0ms (4.4% of total)

ival-sub: 4.0ms (3.5% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess378.0ms (3.1%)

Memory

40.8MiB live, 115.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	70	57
2	232	55
3	811	55
4	1902	55
5	2809	55
6	3188	55
7	3536	55
8	3561	55
9	3561	55
10	3561	55
11	3593	55
12	3599	55
13	3599	55
0	10	11
0	17	11
1	29	11
2	57	11
3	121	11
4	218	11
5	355	11
6	520	11
7	767	11
8	1098	11
9	1360	11
10	1398	11
11	1421	11
12	1423	11
13	1423	11
0	1423	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 (neg.f64 im)) (exp.f64 im)))

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

Symmetry

(negabs im)

(negabs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify69.0ms (0.6%)

Memory

-16.1MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
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 (neg.f64 im)) (exp.f64 im)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	17	33
1	29	33
2	57	33
3	121	33
4	218	33
5	355	33
6	520	33
7	767	33
8	1098	33
9	1360	33
10	1398	33
11	1421	33
12	1423	33
13	1423	33
0	1423	33

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

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

localize114.0ms (0.9%)

Memory

4.6MiB live, 83.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0.00390625	(sin.f64 re)
accuracy	0.08203125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	28.639846772654025	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Samples

76.0ms	74×	1	valid
18.0ms	47×	2	valid
11.0ms	135×	0	valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-sin: 50.0ms (62.7% of total)

ival-exp: 19.0ms (23.8% of total)

ival-mult: 4.0ms (5% of total)

adjust: 3.0ms (3.8% of total)

ival-sub: 2.0ms (2.5% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory

-17.6MiB live, 22.8MiB allocated

Counts

5 → 72

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 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 (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 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 (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 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 (sin re))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re))))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* -2 im) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/3 (pow im 2)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 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 (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp 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 (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp 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
34.0ms	im	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im))
1.0ms	im	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im))
1.0ms	re	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im))
1.0ms	im	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im))
1.0ms	re	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (exp im))

simplify192.0ms (1.6%)

Memory

26.4MiB live, 262.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24 158×	`lower-fma.f64`
24 158×	`lower-fma.f32`
5 996×	`lower-*.f64`
5 996×	`lower-*.f32`
4 318×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	648
1	387	614
2	1085	602
3	3806	581
4	6624	581
0	8205	548

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(exp im)
(exp im)
(exp im)
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(exp im)
(exp im)
(exp im)
(exp im)

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp 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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 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)) re)
(* 1/2 (* (sin re) (- (exp (neg im)) (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 (neg im)) (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 (neg im)) (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 (neg im)) (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))
(*.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 (neg im)) (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 (neg im)) (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 (neg im)) (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 (neg im)) (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))
(*.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 (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(*.f64 (neg.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(.f64 (.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(* 1/2 (* (sin re) (- (exp (neg im)) (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 (neg im)) (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 (neg im)) (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 (neg im)) (exp im))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (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 (* -1 im)) (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 (* -1 im)) (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 (* -1 im)) (exp im))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)

rewrite82.0ms (0.7%)

Memory

-14.0MiB live, 146.9MiB allocated

Rules

1 192×	`lower-*.f32`
1 188×	`lower-*.f64`
944×	`lower-/.f64`
944×	`lower-/.f32`
910×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	17	25
1	42	25
2	237	25
0	2269	25

Stop Event

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

Counts

5 → 135

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 im #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (sin.f64 re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (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 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (.f64 (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(fma.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (exp.f64 im) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (exp.f64 im)) (sin.f64 re)) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 im #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 9 binary64)) (pow.f64 (exp.f64 im) #s(literal 9 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
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eval49.0ms (0.4%)

Memory: -2.3MiB live, 77.1MiB allocated
Compiler: Compiled 4 600 to 540 computations (88.3% saved)

prune57.0ms (0.5%)

Memory

-9.7MiB live, 30.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	199	7	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	7	207

Accuracy

99.9%

Counts

207 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
▶	93.5%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	89.7%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	82.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	55.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	50.9%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	50.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))

Compiler

Compiled 212 to 164 computations (22.6% saved)

simplify166.0ms (1.4%)

Memory

23.9MiB live, 175.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

7 426×	`lower-fma.f32`
7 414×	`lower-fma.f64`
2 602×	`lower-*.f32`
2 580×	`lower-*.f64`
1 316×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	346
0	73	346
1	128	346
2	248	346
3	494	346
4	953	346
5	1470	346
6	1942	346
7	2468	346
8	2813	346
9	3171	346
10	3281	346
11	3519	346
12	3803	346
13	4230	346
14	6077	346
15	7734	346
0	8064	346

Stop Event

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

Calls

Call 1

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

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

localize232.0ms (1.9%)

Memory

2.9MiB live, 451.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0.08203125	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	28.639846772654025	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	28.883220428443718	#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy	0.037441259768442016	(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
accuracy	0.08203125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.1015625	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	6.413784963107507	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	0.05078125	(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
accuracy	0.078125	(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy	0.08203125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	10.783423714602957	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	0	(neg.f64 (sin.f64 re))
accuracy	0.00390625	(sin.f64 re)
accuracy	0.12109375	(*.f64 (neg.f64 (sin.f64 re)) im)
accuracy	31.779268123734255	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.07421875	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	0.08203125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	4.058698479688145	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

91.0ms	47×	2	valid
64.0ms	74×	1	valid
46.0ms	135×	0	valid

Compiler

Compiled 266 to 35 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-exp: 77.0ms (52.3% of total)

ival-mult: 27.0ms (18.4% of total)

const: 13.0ms (8.8% of total)

adjust: 10.0ms (6.8% of total)

ival-add: 9.0ms (6.1% of total)

ival-sin: 6.0ms (4.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-6.9MiB live, 69.7MiB allocated

Counts

22 → 336

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 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 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 (sin.f64 re)) im)) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 (sin.f64 re)) im)) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 (sin.f64 re)) im)) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 (sin.f64 re)) im)) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (.f64 (neg.f64 (sin.f64 re)) im) (patch (.f64 (neg.f64 (sin.f64 re)) im) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt (.f64 (neg.f64 (sin.f64 re)) im) (patch (.f64 (neg.f64 (sin.f64 re)) im) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) (taylor 0 re) (#s(alt (.f64 (neg.f64 (sin.f64 re)) im) (patch (.f64 (neg.f64 (sin.f64 re)) im) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2))))))))) (taylor 0 re) (#s(alt (.f64 (neg.f64 (sin.f64 re)) im) (patch (.f64 (neg.f64 (sin.f64 re)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 re) (taylor 0 re) (#s(alt (neg.f64 (sin.f64 re)) (patch (neg.f64 (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (- (* 1/6 (pow re 2)) 1)) (taylor 0 re) (#s(alt (neg.f64 (sin.f64 re)) (patch (neg.f64 (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1)) (taylor 0 re) (#s(alt (neg.f64 (sin.f64 re)) (patch (neg.f64 (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1)) (taylor 0 re) (#s(alt (neg.f64 (sin.f64 re)) (patch (neg.f64 (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
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#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow im 3)) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/60 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp 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
4.0ms	re	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))
3.0ms	im	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))
2.0ms	re	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))
2.0ms	im	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))
2.0ms	im	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))

simplify169.0ms (1.4%)

Memory

-22.7MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 756×	`lower-fma.f64`
11 756×	`lower-fma.f32`
4 382×	`lower-*.f64`
4 382×	`lower-*.f32`
3 654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	3355
1	635	3182
2	1989	3137
3	4291	3053
4	7336	3053
0	8137	2874

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 335

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
(- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* -1/3 (pow im 2)) 2)
(- (* -1/3 (pow im 2)) 2)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* -1/3 (pow im 2)) 2))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(exp im)
(exp im)
(exp im)
(exp im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/3 (pow im 2))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(exp im)
(exp im)
(exp im)
(exp im)

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) 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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 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)) re)
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re)
(* -1 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(.f64 (fma.f64 (.f64 im (fma.f64 #s(literal -1/120 binary64) (.f64 re re) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)
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(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (.f64 #s(literal -1/60 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)))
(* -1/3 (pow im 2))
(.f64 #s(literal -1/3 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(* -1/3 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1/60 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64) (.f64 #s(literal -1/3 binary64) (.f64 im im)))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/60 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)

rewrite157.0ms (1.3%)

Memory

15.3MiB live, 294.5MiB allocated

Rules

5 502×	`lower-fma.f32`
5 490×	`lower-fma.f64`
4 602×	`lower-*.f32`
4 580×	`lower-*.f64`
4 292×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	248
0	73	248
1	215	248
2	1292	248
0	8199	248

Stop Event

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

Counts

22 → 380

Calls

Call 1

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

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

eval105.0ms (0.9%)

Memory: 13.4MiB live, 242.7MiB allocated
Compiler: Compiled 18 716 to 2 320 computations (87.6% saved)

prune64.0ms (0.5%)

Memory

-4.0MiB live, 165.7MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	765	23	788
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	769	26	795

Accuracy

99.9%

Counts

795 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
▶	64.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
	63.5%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	60.8%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	55.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	63.4%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	60.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	57.2%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
✓	50.9%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	58.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	58.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	51.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
	16.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))))
	34.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (.f64 im (sin.f64 re)))))
	36.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64))) im))
▶	47.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
	47.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
✓	50.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
	32.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
▶	29.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))

Compiler

Compiled 973 to 688 computations (29.3% saved)

simplify92.0ms (0.8%)

Memory

-24.0MiB live, 133.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im)
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
cost-diff	13568	(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re))
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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(neg.f64 re)
cost-diff	0	#s(approx (neg (sin re)) (neg.f64 re))
cost-diff	0	(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
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 (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))

Rules

4 284×	`lower-fma.f32`
4 268×	`lower-fma.f64`
3 258×	`lower-*.f32`
3 230×	`lower-*.f64`
1 716×	`lower-neg.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	476
0	99	476
1	168	476
2	306	455
3	680	455
4	1618	455
5	3193	455
6	4924	455
0	8147	455

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal 2 binary64)
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/9 binary64)
#s(literal -4 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
re
im
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im)
(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re))
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
(sin.f64 re)
re
#s(literal 2 binary64)
im

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
(.f64 (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
(/.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal 2 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal 2 binary64)
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal -4 binary64) im))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/9 binary64)
#s(literal -4 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
re
im
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im)
(*.f64 (neg.f64 im) (sin.f64 re))
(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re))
(neg.f64 (sin.f64 re))
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))
(sin.f64 re)
re
#s(literal 2 binary64)
im

localize339.0ms (2.8%)

Memory

36.7MiB live, 311.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im)
accuracy	0.228847509768442	(pow.f64 (sin.f64 re) #s(literal 2 binary64))
accuracy	14.524842616866593	(/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re))
accuracy	31.779268123734255	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
accuracy	0.07421875	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	0.08203125	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	4.058698479688145	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	28.65991138627639	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
accuracy	0.08203125	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	6.413784963107507	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	28.883220428443718	#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy	0	(neg.f64 re)
accuracy	0.12109375	(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
accuracy	28.883526210399964	#s(approx (neg (sin re)) (neg.f64 re))
accuracy	31.779268123734255	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
accuracy	0.08203125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
accuracy	10.783423714602957	#s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
accuracy	20.473541116767926	(/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))

Samples

114.0ms	47×	2	valid
86.0ms	135×	0	valid
68.0ms	74×	1	valid

Compiler

Compiled 347 to 56 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 72.0ms (36.8% of total)

const: 46.0ms (23.5% of total)

adjust: 18.0ms (9.2% of total)

ival-exp: 18.0ms (9.2% of total)

ival-add: 12.0ms (6.1% of total)

ival-sin: 9.0ms (4.6% of total)

ival-div: 7.0ms (3.6% of total)

ival-neg: 5.0ms (2.6% of total)

ival-pow2: 4.0ms (2% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

series70.0ms (0.6%)

Memory

-0.6MiB live, 35.9MiB allocated

Counts

26 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) #<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 #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (neg (sin re)) (neg.f64 re)) im) (patch (.f64 #s(approx (neg (sin re)) (neg.f64 re)) im) #<representation binary64>) () ())
#s(alt #s(approx (neg (sin re)) (neg.f64 re)) (patch #s(approx (neg (sin re)) (neg.f64 re)) #<representation binary64>) () ())
#s(alt (neg.f64 re) (patch (neg.f64 re) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 re #s(literal 1/2 binary64)) (patch (.f64 re #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (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 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) (patch (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im)) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im) (patch (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))) (patch #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 re) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))) #<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>) () ())) ())
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#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))) (patch #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))) (patch #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))) #<representation binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	re	@	inf	((/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (/ (neg (pow (sin re) 2)) (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (neg (pow (sin re) 2)) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (pow (sin re) 2))
2.0ms	im	@	-inf	((/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (/ (neg (pow (sin re) 2)) (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (neg (pow (sin re) 2)) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (pow (sin re) 2))
2.0ms	im	@	inf	((/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (/ (neg (pow (sin re) 2)) (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (neg (pow (sin re) 2)) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (pow (sin re) 2))
2.0ms	re	@	-inf	((/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (/ (neg (pow (sin re) 2)) (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (neg (pow (sin re) 2)) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (pow (sin re) 2))
2.0ms	im	@	0	((/ 1 (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im))) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg (sin re)) im) (neg (sin re)) (neg re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (- (exp (neg im)) (exp im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (/ (neg (pow (sin re) 2)) (sin re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (neg (pow (sin re) 2)) (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (pow (sin re) 2))

simplify214.0ms (1.8%)

Memory

-6.6MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 140×	`lower-fma.f64`
9 140×	`lower-fma.f32`
5 256×	`lower-*.f64`
5 256×	`lower-*.f32`
3 754×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	3765
1	802	3583
2	2467	3544
3	5428	3488
0	8245	3324

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 395

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* -1 re)
(* -1 re)
(* -1 re)
(* -1 re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 (pow re 2))
(* (pow re 2) (- (* 1/3 (pow re 2)) 1))
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1))
(* (pow re 2) (- (* (pow re 2) (+ 1/3 (* (pow re 2) (- (* 1/315 (pow re 2)) 2/45)))) 1))
(pow re 2)
(* (pow re 2) (+ 1 (* -1/3 (pow re 2))))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3))))
(* (pow re 2) (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 2/45 (* -1/315 (pow re 2)))) 1/3))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 re)
(* -1 re)
(* -1 re)
(* -1 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (pow (sin re) 2))
(* -1 (pow (sin re) 2))
(* -1 (pow (sin re) 2))
(* -1 (pow (sin re) 2))
(pow (sin re) 2)
(pow (sin re) 2)
(pow (sin re) 2)
(pow (sin re) 2)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 re)
(* -1 re)
(* -1 re)
(* -1 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp 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 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (pow (sin re) 2))
(* -1 (pow (sin re) 2))
(* -1 (pow (sin re) 2))
(* -1 (pow (sin re) 2))
(pow (sin re) 2)
(pow (sin re) 2)
(pow (sin re) 2)
(pow (sin re) 2)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* -1/3 (pow im 2)) 2))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(/ -1/2 im)
(/ (- (* 1/12 (pow im 2)) 1/2) im)
(/ (- (* (pow im 2) (+ 1/12 (* -1/72 (pow im 2)))) 1/2) im)
(/ (- (* (pow im 2) (+ 1/12 (* (pow im 2) (- (* 1/432 (pow im 2)) 1/72)))) 1/2) im)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(/ -3 (pow im 3))
(/ (- (* 18 (/ 1 (pow im 2))) 3) (pow im 3))
(/ (- (* 18 (/ 1 (pow im 2))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(/ (- (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6)))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/3 (pow im 3))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(/ -3 (pow im 3))
(* -1 (/ (- 3 (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6))))) (pow im 3)))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) 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))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 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)) re)
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re)
(* -1 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(.f64 (fma.f64 (.f64 im (fma.f64 #s(literal -1/120 binary64) (.f64 re re) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)
(* -1 re)
(neg.f64 re)
(* re (- (* 1/6 (pow re 2)) 1))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) re)
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(.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 (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(.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 re)
(neg.f64 re)
(* -1 re)
(neg.f64 re)
(* -1 re)
(neg.f64 re)
(* -1 re)
(neg.f64 re)
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) 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))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
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(* 1/2 (* re (- (exp (neg im)) (exp im))))
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(/ (- (* 18 (/ 1 (pow im 2))) 3) (pow im 3))
(/.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(/ (- (* 18 (/ 1 (pow im 2))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(/ (- (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6)))) (+ 3 (/ 108 (pow im 4)))) (pow im 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 3 binary64)))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1/3 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im))) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(/ -3 (pow im 3))
(/.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 3 binary64)))
(* -1 (/ (- 3 (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(/.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (* 18 (/ 1 (pow im 2)))) (pow im 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 im im)) #s(literal 3 binary64)) (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (/ (- (+ 3 (/ 108 (pow im 4))) (+ (* 18 (/ 1 (pow im 2))) (* 648 (/ 1 (pow im 6))))) (pow im 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 108 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 3 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))

rewrite397.0ms (3.3%)

Memory

-8.8MiB live, 233.2MiB allocated

Rules

4 558×	`lower-fma.f32`
4 542×	`lower-fma.f64`
4 326×	`lower-/.f32`
4 320×	`lower-/.f64`
4 178×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	339
0	99	339
1	315	311
2	1938	296
0	8326	292

Stop Event

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

Counts

26 → 488

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (neg.f64 re))
(neg.f64 re)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (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 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im)
(neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(pow.f64 (sin.f64 re) #s(literal 2 binary64))

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

eval332.0ms (2.8%)

Memory: 12.7MiB live, 162.1MiB allocated
Compiler: Compiled 20 534 to 2 954 computations (85.6% saved)

prune184.0ms (1.5%)

Memory

1.1MiB live, 134.3MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	936	29	965
Fresh	15	4	19
Picked	3	2	5
Done	0	2	2
Total	954	37	991

Accuracy

100.0%

Counts

991 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
	50.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
	56.1%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	63.5%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	60.8%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	55.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	42.3%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 #s(literal -1/2520 binary64) (.f64 im im))))) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.7%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	63.2%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.2%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	63.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	58.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
✓	50.9%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	58.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
✓	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	51.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	55.0%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	44.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) im) (neg.f64 (sin.f64 re))))
	50.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))))
▶	49.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
	36.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 re))) (/.f64 im (sqrt.f64 (sin.f64 re)))))
	36.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (sin.f64 re)) im))
	41.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(approx (neg (pow (sin re) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)) (sin.f64 re)) im))
	51.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 im (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
	36.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 re))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) (neg.f64 (sin.f64 re)))) im))
✓	50.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
	32.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
▶	26.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
	26.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
✓	29.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
▶	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))

Compiler

Compiled 1 404 to 1 027 computations (26.9% saved)

simplify156.0ms (1.3%)

Memory

10.6MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
cost-diff	1664	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im))
cost-diff	5888	(pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 re re))
cost-diff	192	(+.f64 #s(literal 0 binary64) re)
cost-diff	448	(/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re))))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
cost-diff	0	(.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)))
cost-diff	0	#s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (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 (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Rules

4 918×	`lower-fma.f32`
4 900×	`lower-fma.f64`
3 484×	`lower-*.f32`
3 462×	`lower-*.f64`
2 104×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	633
0	103	615
1	189	605
2	486	587
3	1400	565
4	3306	565
5	6030	565
6	7727	565
0	8349	565

Stop Event

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

Calls

Call 1

Inputs
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (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 (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)
(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))
(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))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
(*.f64 re re)
re
#s(literal 1/240 binary64)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re))
(.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)
(.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)))
im
(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 (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
(.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)
#s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re))))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re)))
(+.f64 #s(literal 0 binary64) re)
#s(literal 0 binary64)
re
(-.f64 #s(literal 0 binary64) (*.f64 re re))
(*.f64 re re)
im
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(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 (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)
(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))
(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))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
(*.f64 re re)
re
#s(literal 1/240 binary64)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im))
#s(literal 1 binary64)
(/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)
(pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
(neg.f64 (sin.f64 re))
(sin.f64 re)
re
#s(literal -1 binary64)
im

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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)))
#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 (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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 (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 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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 (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))
(fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(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))
(fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
(*.f64 re re)
re
#s(literal 1/240 binary64)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re) im))))
#s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re))
#s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re) im)))
(.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)
(neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re) im))
(.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
im
(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 (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
(.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)
(*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)
#s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re)))))
#s(approx (neg (sin re)) (neg.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re))))
(neg.f64 re)
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re)))
(/.f64 #s(literal -1 binary64) re)
(+.f64 #s(literal 0 binary64) re)
re
#s(literal 0 binary64)
re
(-.f64 #s(literal 0 binary64) (*.f64 re re))
(*.f64 (neg.f64 re) re)
(*.f64 re re)
im
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)))
#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 (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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 (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 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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 (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))
(fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(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))
(fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
(*.f64 re re)
re
#s(literal 1/240 binary64)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) im)
#s(literal -1/60 binary64)
im
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im))
(*.f64 (neg.f64 (sin.f64 re)) im)
#s(literal 1 binary64)
(/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)
(pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 re))
(neg.f64 (sin.f64 re))
(sin.f64 re)
re
#s(literal -1 binary64)
im

localize456.0ms (3.8%)

Memory

3.9MiB live, 469.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))
accuracy	0.25	(/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)
accuracy	0.7224930800487701	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im))
accuracy	31.779268123734255	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
accuracy	0.08203125	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	6.413784963107507	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	28.57216749465712	#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))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re))))
accuracy	27.156724079236085	(/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re)))
accuracy	28.883526210399964	#s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (*.f64 re re)))))
accuracy	31.779268123734255	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
accuracy	0.06640625	(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
accuracy	3.3398510979596554	(.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)))
accuracy	28.49008726734054	#s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re))
accuracy	31.779268123734255	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
accuracy	0.07421875	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	0.08203125	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	4.058698479688145	#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	28.57216749465712	#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))

Samples

167.0ms	74×	1	valid
103.0ms	135×	0	valid
72.0ms	47×	2	valid

Compiler

Compiled 443 to 62 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-sin: 102.0ms (38.2% of total)

ival-mult: 44.0ms (16.5% of total)

const: 33.0ms (12.4% of total)

ival-exp: 18.0ms (6.7% of total)

ival-div: 17.0ms (6.4% of total)

adjust: 17.0ms (6.4% of total)

ival-add: 17.0ms (6.4% of total)

ival-pow: 7.0ms (2.6% of total)

ival-pow2: 4.0ms (1.5% of total)

ival-neg: 4.0ms (1.5% of total)

ival-sub: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series332.0ms (2.7%)

Memory

-234.0MiB live, 47.8MiB allocated

Counts

23 → 384

Calls

Call 1

Inputs
#s(alt (.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64))) re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64))) re)) (patch #s(approx ( (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)) #<representation binary64>) () ())
#s(alt (.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64))) (patch (.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64))) #<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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))) (patch (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) re) (patch (+.f64 #s(literal 0 binary64) re) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 re re)) (patch (-.f64 #s(literal 0 binary64) (.f64 re re)) #<representation binary64>) () ())
#s(alt (.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())
#s(alt (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) (patch (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im))) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im) (patch (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) #<representation binary64>) () ())
#s(alt #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) (patch #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* re (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im))))))))) (taylor 0 re) (#s(alt (.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt #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)) (patch #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)) #<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 #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (patch (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
301.0ms	re	@	-inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (* im (+ (* 1/6 (* re re)) -1)) (+ (* 1/6 (* re re)) -1) (/ 1 (/ (+ 0 re) (- 0 (* re re)))) (/ (+ 0 re) (- 0 (* re re))) (+ 0 re) (- 0 (* re re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (pow (neg (sin re)) -1) (/ 1 (/ (pow (neg (sin re)) -1) im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/ (pow (neg (sin re)) -1) im) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (sin re)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3))
3.0ms	re	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (* im (+ (* 1/6 (* re re)) -1)) (+ (* 1/6 (* re re)) -1) (/ 1 (/ (+ 0 re) (- 0 (* re re)))) (/ (+ 0 re) (- 0 (* re re))) (+ 0 re) (- 0 (* re re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (pow (neg (sin re)) -1) (/ 1 (/ (pow (neg (sin re)) -1) im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/ (pow (neg (sin re)) -1) im) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (sin re)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3))
3.0ms	im	@	inf	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (* im (+ (* 1/6 (* re re)) -1)) (+ (* 1/6 (* re re)) -1) (/ 1 (/ (+ 0 re) (- 0 (* re re)))) (/ (+ 0 re) (- 0 (* re re))) (+ 0 re) (- 0 (* re re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (pow (neg (sin re)) -1) (/ 1 (/ (pow (neg (sin re)) -1) im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/ (pow (neg (sin re)) -1) im) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (sin re)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3))
2.0ms	im	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (* im (+ (* 1/6 (* re re)) -1)) (+ (* 1/6 (* re re)) -1) (/ 1 (/ (+ 0 re) (- 0 (* re re)))) (/ (+ 0 re) (- 0 (* re re))) (+ 0 re) (- 0 (* re re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (pow (neg (sin re)) -1) (/ 1 (/ (pow (neg (sin re)) -1) im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/ (pow (neg (sin re)) -1) im) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (sin re)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3))
2.0ms	re	@	0	((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (/ (neg (pow (sin re) 2)) (sin re)) im) (* im (+ (* 1/6 (* re re)) -1)) (+ (* 1/6 (* re re)) -1) (/ 1 (/ (+ 0 re) (- 0 (* re re)))) (/ (+ 0 re) (- 0 (* re re))) (+ 0 re) (- 0 (* re re)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (pow (neg (sin re)) -1) (/ 1 (/ (pow (neg (sin re)) -1) im)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/ (pow (neg (sin re)) -1) im) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (sin re)) (- (exp (neg im)) (exp im)) (+ (* (* -1/60 im) im) -1/3))

simplify275.0ms (2.3%)

Memory

-6.3MiB live, 266.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 116×	`lower-fma.f64`
11 116×	`lower-fma.f32`
4 488×	`lower-*.f64`
4 488×	`lower-*.f32`
3 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	3659
1	674	3462
2	2021	3429
3	4534	3367
4	7820	3367
0	8013	3206

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 372

Calls

Call 1

Inputs
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp 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) (- (* (pow re 2) (+ 1/240 (* -1/10080 (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) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* -1 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
-1
(- (* 1/6 (pow re 2)) 1)
(- (* 1/6 (pow re 2)) 1)
(- (* 1/6 (pow re 2)) 1)
(* -1 re)
(* -1 re)
(* -1 re)
(* -1 re)
(/ -1 re)
(/ -1 re)
(/ -1 re)
(/ -1 re)
re
re
re
re
(* -1 (pow re 2))
(* -1 (pow re 2))
(* -1 (pow re 2))
(* -1 (pow re 2))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(/ -1 re)
(/ (- (* -1/6 (pow re 2)) 1) re)
(/ (- (* (pow re 2) (- (* -7/360 (pow re 2)) 1/6)) 1) re)
(/ (- (* (pow re 2) (- (* (pow re 2) (- (* -31/15120 (pow re 2)) 7/360)) 1/6)) 1) re)
(* -1 (* im re))
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(/ -1 (* im re))
(/ (- (* -1/6 (/ (pow re 2) im)) (/ 1 im)) re)
(/ (- (* (pow re 2) (- (* -7/360 (/ (pow re 2) im)) (* 1/6 (/ 1 im)))) (/ 1 im)) re)
(/ (- (* (pow re 2) (- (* (pow re 2) (- (* -31/15120 (/ (pow re 2) im)) (* 7/360 (/ 1 im)))) (* 1/6 (/ 1 im)))) (/ 1 im)) re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (exp im)))))))))
(* -1 re)
(* re (- (* 1/6 (pow re 2)) 1))
(* re (- (* (pow re 2) (+ 1/6 (* -1/120 (pow re 2)))) 1))
(* re (- (* (pow re 2) (+ 1/6 (* (pow re 2) (- (* 1/5040 (pow re 2)) 1/120)))) 1))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* -1/10080 (pow re 7))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* -1/10080 (pow re 6))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* 1/6 (pow re 2))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* -1 re)
(* -1 re)
(* -1 re)
(* -1 re)
(/ -1 re)
(/ -1 re)
(/ -1 re)
(/ -1 re)
re
re
re
re
(* -1 (pow re 2))
(* -1 (pow re 2))
(* -1 (pow re 2))
(* -1 (pow re 2))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(/ -1 (sin re))
(/ -1 (sin re))
(/ -1 (sin re))
(/ -1 (sin re))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* -1/10080 (pow re 7))
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))))))
(* -1/10080 (pow re 6))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/6 im)))
(* 1/6 (pow re 2))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/6 (/ 1 (pow re 2))))
(* -1 re)
(* -1 re)
(* -1 re)
(* -1 re)
(/ -1 re)
(/ -1 re)
(/ -1 re)
(/ -1 re)
re
re
re
re
(* -1 (pow re 2))
(* -1 (pow re 2))
(* -1 (pow re 2))
(* -1 (pow re 2))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(/ -1 (sin re))
(/ -1 (sin re))
(/ -1 (sin re))
(/ -1 (sin re))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (sin re))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(* -1 (* im (sin re)))
(* im (+ (* -1 (sin re)) (* -1/6 (* (pow im 2) (sin re)))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* -1/120 (* (pow im 2) (sin re)))))))
(* im (+ (* -1 (sin re)) (* (pow im 2) (+ (* -1/6 (sin re)) (* (pow im 2) (+ (* -1/120 (sin re)) (* -1/5040 (* (pow im 2) (sin re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (neg im)) (exp im))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* im (- (* 1/6 (pow re 2)) 1))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* -1 (* im (sin re)))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(/ -1 (* im (sin re)))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))

Outputs
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) 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) (- (* (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
#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) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))
(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))
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re)
(* -1 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(.f64 (fma.f64 (.f64 im (fma.f64 #s(literal -1/120 binary64) (.f64 re re) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* 1/6 im) (* (pow re 2) (+ (* -1/120 im) (* 1/5040 (* im (pow re 2)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
(+ (* -1 im) (* 1/6 (* im (pow re 2))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
-1
#s(literal -1 binary64)
(- (* 1/6 (pow re 2)) 1)
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
(- (* 1/6 (pow re 2)) 1)
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
(- (* 1/6 (pow re 2)) 1)
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))
(* -1 re)
(neg.f64 re)
(* -1 re)
(neg.f64 re)
(* -1 re)
(neg.f64 re)
(* -1 re)
(neg.f64 re)
(/ -1 re)
(/.f64 #s(literal -1 binary64) re)
(/ -1 re)
(/.f64 #s(literal -1 binary64) re)
(/ -1 re)
(/.f64 #s(literal -1 binary64) re)
(/ -1 re)
(/.f64 #s(literal -1 binary64) re)
re
re
re
re
(* -1 (pow re 2))
(*.f64 (neg.f64 re) re)
(* -1 (pow re 2))
(*.f64 (neg.f64 re) re)
(* -1 (pow re 2))
(*.f64 (neg.f64 re) re)
(* -1 (pow re 2))
(*.f64 (neg.f64 re) re)
(* 1/2 (* re (- (exp (neg im)) (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 (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (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 (neg im)) (exp im))) (* (pow re 2) (+ (* -1/12 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (- (exp (neg im)) (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) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) re)
(/ -1 re)
(/.f64 #s(literal -1 binary64) re)
(/ (- (* -1/6 (pow re 2)) 1) re)
(fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))
(/ (- (* (pow re 2) (- (* -7/360 (pow re 2)) 1/6)) 1) re)
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))
(/ (- (* (pow re 2) (- (* (pow re 2) (- (* -31/15120 (pow re 2)) 7/360)) 1/6)) 1) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (.f64 re re) #s(literal -7/360 binary64)) (.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))
(* -1 (* im re))
(*.f64 (neg.f64 re) im)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
(.f64 (fma.f64 (.f64 im (fma.f64 #s(literal -1/120 binary64) (.f64 re re) #s(literal 1/6 binary64))) (.f64 re re) (neg.f64 im)) re)
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(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* im (- (* 1/6 (pow re 2)) 1))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
(* im (- (* 1/6 (pow re 2)) 1))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
(* im (- (* 1/6 (pow re 2)) 1))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
(* im (- (* 1/6 (pow re 2)) 1))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* -1 (* im (sin re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(/ -1 (* im (sin re)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)
(/ -1 (* im (sin re)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)
(/ -1 (* im (sin re)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)
(/ -1 (* im (sin re)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))

rewrite227.0ms (1.9%)

Memory

12.0MiB live, 294.4MiB allocated

Rules

4 396×	`lower-*.f32`
4 374×	`lower-*.f64`
4 198×	`lower-fma.f32`
4 180×	`lower-fma.f64`
3 936×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	389
0	103	374
1	388	343
2	2859	327
0	8593	327

Stop Event

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

Counts

23 → 1 095

Calls

Call 1

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

Outputs
(.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) re)))
(.f64 (/.f64 (.f64 (neg.f64 re) re) (.f64 (pow.f64 re #s(literal -1 binary64)) re)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)))
(.f64 (/.f64 (.f64 (neg.f64 re) re) #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re) (/.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 re #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re) (/.f64 (pow.f64 re #s(literal 3 binary64)) re))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal -1 binary64)) re)) re)
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 re) #s(literal 1/2 binary64))) (/.f64 (*.f64 (neg.f64 re) re) (pow.f64 (neg.f64 re) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 re) re) (pow.f64 (neg.f64 (pow.f64 re #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1 binary64))) (*.f64 (pow.f64 re #s(literal -1 binary64)) re))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (*.f64 re re) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (neg.f64 re) re)) (/.f64 (.f64 (neg.f64 re) re) (pow.f64 re #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)
(.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 re))
(.f64 (/.f64 (.f64 (neg.f64 re) re) (/.f64 #s(literal -1 binary64) re)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re)))
(.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) re) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (-.f64 re #s(literal 0 binary64))))
(.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) re) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (/.f64 (.f64 (neg.f64 re) re) (pow.f64 (neg.f64 re) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 re) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 re) re) (pow.f64 re #s(literal -1 binary64))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 re #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 re) re) (pow.f64 re #s(literal -1 binary64))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (neg.f64 re) re)))
(.f64 (.f64 (pow.f64 re #s(literal -1 binary64)) re) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1 binary64))))
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#s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (.f64 (*.f64 #s(literal -1/60 binary64) im) im))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)) (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (*.f64 #s(literal -1/60 binary64) im) im)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)))))
(fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(fma.f64 im (*.f64 #s(literal -1/60 binary64) im) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal -1/60 binary64) im) im))) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 #s(literal -1/3 binary64) (.f64 (*.f64 #s(literal -1/60 binary64) im) im))))
(-.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal -1/60 binary64) im) im #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal -1/60 binary64) im) im))

eval465.0ms (3.9%)

Memory: 5.0MiB live, 542.5MiB allocated
Compiler: Compiled 44 258 to 6 206 computations (86% saved)

prune151.0ms (1.3%)

Memory

-26.1MiB live, 278.5MiB allocated

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	1 638	25	1 663
Fresh	10	18	28
Picked	4	1	5
Done	0	4	4
Total	1 652	48	1 700

Accuracy

100.0%

Counts

1 700 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
	50.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
	63.4%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	60.7%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	55.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	60.7%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	63.2%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.2%	(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	35.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	63.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal -1 binary64)) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	50.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	58.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
✓	50.9%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	58.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
✓	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	55.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	51.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	55.0%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	44.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) im) (neg.f64 (sin.f64 re))))
	50.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 im #s(literal -1 binary64)))))
	50.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
	49.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
	49.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal -1 binary64))) (sin.f64 re))))
	26.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
	26.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
	28.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
	26.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
	26.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
	28.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
	36.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (sin.f64 re)) im))
	36.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 re))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) (neg.f64 (sin.f64 re)))) im))
✓	50.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
	32.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
	26.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
	15.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 re re)) (-.f64 #s(literal 0 binary64) (*.f64 re re))))) im))
	29.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
	26.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
✓	29.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
	38.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (/ 1 (/ (pow (neg (sin re)) -1) im)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
✓	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
	23.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
	23.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))

Compiler

Compiled 2 520 to 1 067 computations (57.7% saved)

regimes203.0ms (1.7%)

Memory

27.5MiB live, 301.1MiB allocated

Counts

85 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (/ 1 (/ (pow (neg (sin re)) -1) im)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(approx (neg (pow (sin re) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 re re)) (-.f64 #s(literal 0 binary64) (*.f64 re re))))) im))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 #s(literal -1/2520 binary64) (.f64 im im))))) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal -1 binary64)) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 im #s(literal -1 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal -1 binary64))) (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 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)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 im (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) im) (neg.f64 (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (.f64 im (sin.f64 re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 re))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) (neg.f64 (sin.f64 re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64))) im))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 re))) (/.f64 im (sqrt.f64 (sin.f64 re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (sin.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))))))

Outputs

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

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

Calls

6 calls:

59.0ms	(sin.f64 re)
44.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
26.0ms	re
25.0ms	im
24.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
93.5%	1	`re`
99.9%	2	`im`
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
93.5%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
93.5%	1	`(sin.f64 re)`
99.9%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes72.0ms (0.6%)

Memory

-32.9MiB live, 88.3MiB allocated

Counts

82 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (/ 1 (/ (pow (neg (sin re)) -1) im)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(approx (neg (pow (sin re) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 re re)) (-.f64 #s(literal 0 binary64) (*.f64 re re))))) im))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 #s(literal -1/2520 binary64) (.f64 im im))))) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal -1 binary64)) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 im #s(literal -1 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal -1 binary64))) (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 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)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 im (sin.f64 re)) (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (sin.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) im) (neg.f64 (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)))) (+.f64 #s(literal 0 binary64) (.f64 im (sin.f64 re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 re))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))) (neg.f64 (sin.f64 re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) #s(literal 0 binary64))) im))

Outputs

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

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

Calls

2 calls:

43.0ms	im
20.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.9%	2	`im`
99.9%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes63.0ms (0.5%)

Memory

31.3MiB live, 142.9MiB allocated

Counts

74 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (/ 1 (/ (pow (neg (sin re)) -1) im)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(approx (neg (pow (sin re) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 re re)) (-.f64 #s(literal 0 binary64) (*.f64 re re))))) im))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 #s(literal -1/2520 binary64) (.f64 im im))))) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal -1 binary64)) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 im #s(literal -1 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal -1 binary64))) (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 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)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))))

Outputs

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

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

Calls

3 calls:

25.0ms	im
18.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
16.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
99.1%	3	`im`
93.5%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes23.0ms (0.2%)

Memory

-31.8MiB live, 57.4MiB allocated

Counts

70 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (/ 1 (/ (pow (neg (sin re)) -1) im)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(approx (neg (pow (sin re) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 re re)) (-.f64 #s(literal 0 binary64) (*.f64 re re))))) im))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 #s(literal -1/2520 binary64) (.f64 im im))))) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal -1 binary64)) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 im #s(literal -1 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal -1 binary64))) (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) im)))

Outputs

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

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

Calls

1 calls:

19.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes40.0ms (0.3%)

Memory

30.0MiB live, 105.7MiB allocated

Counts

67 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (/ 1 (/ (pow (neg (sin re)) -1) im)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(approx (neg (pow (sin re) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)) (sin.f64 re)) im))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 re re)) (-.f64 #s(literal 0 binary64) (*.f64 re re))))) im))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/60 binary64) (.f64 #s(literal -1/2520 binary64) (.f64 im im))))) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (pow.f64 re #s(literal -1 binary64)) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 im (pow.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (neg.f64 im) (pow.f64 (sin.f64 re) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 (sin.f64 re) (neg.f64 (pow.f64 im #s(literal -1 binary64)))))

Outputs

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

2 calls:

20.0ms	im
16.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
96.8%	3	`im`
93.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes105.0ms (0.9%)

Memory

-2.6MiB live, 236.8MiB allocated

Counts

59 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (/ 1 (/ (pow (neg (sin re)) -1) im)) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/5040 binary64) (.f64 re re) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(approx (neg (pow (sin re) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal -1 binary64)) re) re)) (sin.f64 re)) im))

Outputs

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

6 calls:

24.0ms	im
18.0ms	re
17.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
17.0ms	(sin.f64 re)
14.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
89.7%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
92.3%	2	`re`
93.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
89.7%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
89.7%	1	`(sin.f64 re)`
96.4%	3	`im`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes42.0ms (0.3%)

Memory

-8.9MiB live, 29.6MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/3 (* im im)) 2) (* (+ (* (pow im 4) 1/9) -4) im)) (/.f64 #s(literal -1/2 binary64) im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 re)) im)))

Outputs

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

1 calls:

39.0ms

im

Results

Accuracy	Segments	Branch
95.6%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes51.0ms (0.4%)

Memory

23.5MiB live, 62.4MiB allocated

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 (sin.f64 re)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 re)) (/.f64 (.f64 re re) #s(literal -1 binary64)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) re)) (/.f64 (.f64 (neg.f64 re) re) (.f64 re re)))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

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

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

Calls

2 calls:

37.0ms	im
11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
94.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
89.3%	2	`im`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes93.0ms (0.8%)

Memory

-16.4MiB live, 191.1MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

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

Calls

6 calls:

20.0ms	im
15.0ms	re
15.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
13.0ms	(sin.f64 re)
12.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
66.2%	2	`im`
72.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
72.2%	2	`(sin.f64 re)`
66.2%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
63.5%	1	`re`
71.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes62.0ms (0.5%)

Memory

-13.1MiB live, 65.0MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

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

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

Calls

2 calls:

31.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
28.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
72.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
72.0%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes31.0ms (0.3%)

Memory

30.1MiB live, 67.7MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (fma.f64 (*.f64 #s(literal -7/360 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/6 binary64) im)) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

2 calls:

15.0ms	(sin.f64 re)
13.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
72.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
72.0%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes31.0ms (0.3%)

Memory

-23.4MiB live, 53.8MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

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

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

Calls

2 calls:

13.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
71.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
71.8%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes35.0ms (0.3%)

Memory

3.1MiB live, 80.0MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (fma.f64 (/.f64 #s(literal -1/6 binary64) im) re (/.f64 (/.f64 #s(literal -1 binary64) im) re)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re (/.f64 #s(literal -1 binary64) re))) im)))

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
71.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
71.6%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes36.0ms (0.3%)

Memory

1.7MiB live, 82.8MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im #s(approx (+ (* 1/6 (* re re)) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 im (*.f64 #s(literal 1/6 binary64) re)) re (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 (fma.f64 (.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (/.f64 #s(literal -1 binary64) re) (*.f64 re re))) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) re)))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (neg (sin re)) -1) im) (/.f64 (/.f64 #s(literal -1 binary64) im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (/.f64 #s(literal -1 binary64) re)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.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 (neg im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) re) (-.f64 #s(literal 0 binary64) (.f64 re re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (neg (sin re)) -1) (fma.f64 #s(literal -1/6 binary64) re (/.f64 #s(literal -1 binary64) re))) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (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)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (/ (neg (pow (sin re) 2)) (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)) im))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
71.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
71.3%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes27.0ms (0.2%)

Memory

16.2MiB live, 55.1MiB allocated

Counts

30 → 2

Calls

Call 1

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
68.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
68.2%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes22.0ms (0.2%)

Memory

2.7MiB live, 41.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(sin.f64 re)
7.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
66.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
66.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
66.7%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes43.0ms (0.4%)

Memory

-16.2MiB live, 26.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

30.0ms	(sin.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
66.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
66.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
66.6%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes58.0ms (0.5%)

Memory

-9.6MiB live, 66.8MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

26.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	re
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	(sin.f64 re)
6.0ms	im

Results

Accuracy	Segments	Branch
58.1%	2	`re`
51.7%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
54.7%	2	`im`
63.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
63.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
63.3%	2	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes26.0ms (0.2%)

Memory

16.9MiB live, 54.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

6.0ms	re
4.0ms	im
4.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms	(sin.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
37.2%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
37.2%	1	`im`
37.2%	1	`re`
41.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
41.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
41.6%	2	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes19.0ms (0.2%)

Memory

-24.4MiB live, 22.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
40.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
41.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
41.0%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
40.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
40.7%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB 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 (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
29.1%	1	`im`
29.1%	1	`re`
29.1%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
29.1%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
29.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
29.1%	1	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.22487462342385944	-2.0501144981643904e-7

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.22487462342385944	-2.0501144981643904e-7

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.010328067685457e-100	-3.501542091183829e-105

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.010328067685457e-100	-3.501542091183829e-105

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch65.0ms (0.5%)

Memory

-10.4MiB live, 64.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1.4885112318320981e+43	2.7506395686095624e+48
25.0ms	484038.8007537411	68717918033733.18

Samples

30.0ms

288×

valid

Compiler

Compiled 1 076 to 753 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (39.1% of total)

ival-sin: 6.0ms (26.1% of total)

ival-exp: 5.0ms (21.7% of total)

ival-sub: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch42.0ms (0.4%)

Memory

6.2MiB live, 43.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	8.14362153615113e+61	1.4345227937301798e+63
18.0ms	1.0250572496674285e-7	0.11220174121016246

Samples

21.0ms

256×

valid

Compiler

Compiled 833 to 621 computations (25.5% saved)

Precisions

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.5816976459018354e+98	5.393902541857066e+103
2.0ms	1.0250572496674285e-7	0.11220174121016246

Samples

4.0ms

48×

valid

Compiler

Compiled 602 to 459 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (36% of total)

ival-mult: 1.0ms (36% of total)

ival-sin: 1.0ms (36% of total)

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

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

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.747417435950476e-17	+inf
0.0ms	-3.1802496306477922e-279	-0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04378269896695199	0.08182621606185529

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04378269896695199	0.08182621606185529

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04378269896695199	0.08182621606185529

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04378269896695199	0.08182621606185529

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.056014555421177864	-0.04838674528848734

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.056014555421177864	-0.04838674528848734

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.056014555421177864	-0.04838674528848734

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.056014555421177864	-0.04838674528848734

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.056014555421177864	-0.04838674528848734

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.056014555421177864	-0.04838674528848734

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04378269896695199	0.08182621606185529

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04378269896695199	0.08182621606185529

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.056014555421177864	-0.04838674528848734

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify45.0ms (0.4%)

Memory

-13.3MiB live, 68.6MiB allocated

Algorithm

1×	egg-herbie

Rules

120×	`-commutative-binary64-.f64`
30×	`+-commutative-binary64-+.f64`
30×	`sub-neg-binary64-neg.f64-+.f64--.f64`
26×	`neg-sub0-binary64--.f64-neg.f64`
26×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1642
1	249	1642
2	282	1642
3	314	1642
4	327	1642
5	332	1642
6	333	1642

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (fma.f64 (exp.f64 (neg.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 im #s(literal 490000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 im #s(literal 335000000000000017667336330636865207319658496 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 im #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 im #s(literal 102000000000000001973726263831349329721721638370843509368291328 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 im #s(literal 7926335344172073/72057594037927936 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -5109351192408883/2554675596204441358920157072687153364566337613357385653123260470319631221592274004204746195830573697394358331960566393912284720625143799885746139901804584218009607261377389665942448283448784623593796296633016222711463437382554714097777734743613496521609114760800967733302218873894840332707692544 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 (sin.f64 re)) im)) (.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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 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 (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 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 (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* (* -1/60 im) im) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx (neg (sin re)) (/.f64 (.f64 (neg.f64 re) re) re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))

Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 (neg.f64 im)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (neg.f64 (exp.f64 im)))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re))))
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(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg (sin re)) im) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) im) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (.f64 im re) re) #s(literal 1/6 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (/ (neg (pow (sin re) 2)) (sin re)) im) (.f64 #s(approx ( im (+ (* 1/6 (* re re)) -1)) (.f64 (.f64 (.f64 re im) re) #s(literal 1/6 binary64))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(approx (neg (sin re)) (neg.f64 re)) im))

soundness2.2s (17.9%)

Memory

6.9MiB live, 1 283.9MiB allocated

Rules

24 158×	`lower-fma.f64`
24 158×	`lower-fma.f32`
11 756×	`lower-fma.f64`
11 756×	`lower-fma.f32`
11 116×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	389
0	103	374
1	388	343
2	2859	327
0	8593	327
0	42	248
0	73	248
1	215	248
2	1292	248
0	8199	248
0	10	25
0	17	25
1	42	25
2	237	25
0	2269	25
0	207	3355
1	635	3182
2	1989	3137
3	4291	3053
4	7336	3053
0	8137	2874
0	136	648
1	387	614
2	1085	602
3	3806	581
4	6624	581
0	8205	548
0	59	339
0	99	339
1	315	311
2	1938	296
0	8326	292
0	240	3659
1	674	3462
2	2021	3429
3	4534	3367
4	7820	3367
0	8013	3206
0	276	3765
1	802	3583
2	2467	3544
3	5428	3488
0	8245	3324

Stop Event

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

Compiler

Compiled 2 022 to 890 computations (56% saved)

preprocess245.0ms (2%)

Memory: -21.1MiB live, 499.7MiB allocated
Remove: (negabs re)
Compiler: Compiled 2 516 to 522 computations (79.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated