Metrics for math.cos on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample2.4s (19.6%)

Memory

22.4MiB live, 2 603.4MiB allocated

Samples

707.0ms	2 870×	1	valid
691.0ms	999×	2	valid
560.0ms	4 387×	0	valid

Precisions

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

ival-exp: 766.0ms (48.6% of total)

adjust: 317.0ms (20.1% of total)

ival-sin: 233.0ms (14.8% of total)

ival-mult: 137.0ms (8.7% of total)

ival-sub: 74.0ms (4.7% of total)

ival-neg: 33.0ms (2.1% 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

explain229.0ms (1.9%)

Memory

-11.4MiB live, 327.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	0	-	-	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	0	-	-	`(exp.f64 im)`
0	0	-	-	`(neg.f64 im)`
0	1	(3.7506706935489226e-106 -532.6416129294325)	-	`(exp.f64 (neg.f64 im))`
0	0	-	-	`(sin.f64 re)`
0	0	-	-	`im`
0	0	-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
0	0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	0	-	-	`re`
0	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	133	0
`exp.f64`	`(exp.f64 (neg.f64 im))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	106	0
-	28	122

Precision

0.7910447761194029

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	106	0	0
-	28	0	122

Precision?

0.7910447761194029

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms	164×	1	valid
47.0ms	94×	2	valid
26.0ms	254×	0	valid

Compiler

Compiled 114 to 47 computations (58.8% saved)

Precisions

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

ival-exp: 70.0ms (61.4% of total)

ival-sub: 15.0ms (13.2% of total)

ival-sin: 12.0ms (10.5% of total)

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

adjust: 5.0ms (4.4% 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)

preprocess158.0ms (1.3%)

Memory

5.7MiB live, 121.9MiB 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: 0.6MiB live, 0.6MiB 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
▶	62.6%	(.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)

simplify55.0ms (0.5%)

Memory

-23.2MiB live, 58.7MiB 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)

localize87.0ms (0.7%)

Memory

2.1MiB live, 38.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 im))
accuracy	0	(exp.f64 im)
accuracy	0.05078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	30.782479588849213	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Samples

42.0ms	127×	0	valid
19.0ms	47×	2	valid
18.0ms	82×	1	valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sin: 36.0ms (53.2% of total)

ival-exp: 19.0ms (28.1% of total)

adjust: 4.0ms (5.9% of total)

ival-mult: 4.0ms (5.9% of total)

ival-sub: 2.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

6 → 84

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

Calls

6 calls:

Time	Variable		Point	Expression
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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg im)))

simplify336.0ms (2.7%)

Memory

16.8MiB live, 170.0MiB allocated

Algorithm

1×	egg-herbie

Rules

24 526×	`lower-fma.f64`
24 526×	`lower-fma.f32`
6 070×	`lower-*.f64`
6 070×	`lower-*.f32`
4 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	699
1	413	664
2	1136	652
3	3928	631
4	6813	631
0	8435	593

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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

rewrite228.0ms (1.9%)

Memory

-31.2MiB live, 132.1MiB 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	28
0	17	28
1	42	28
2	237	28
0	2269	28

Stop Event

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

Counts

6 → 148

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

eval75.0ms (0.6%)

Memory: 14.4MiB live, 53.0MiB allocated
Compiler: Compiled 4 933 to 606 computations (87.7% saved)

prune109.0ms (0.9%)

Memory

14.3MiB live, 62.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	224	7	231
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	224	8	232

Accuracy

99.9%

Counts

232 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(.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))))
✓	62.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	61.2%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
▶	94.0%	(.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)))
▶	91.3%	(.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)))
▶	83.8%	(.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)))
	93.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
▶	54.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))

Compiler

Compiled 269 to 204 computations (24.2% saved)

simplify216.0ms (1.8%)

Memory

-7.8MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

8 002×	`lower-fma.f32`
7 990×	`lower-fma.f64`
2 866×	`lower-*.f32`
2 846×	`lower-*.f64`
1 816×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	341
0	66	341
1	121	341
2	248	341
3	509	341
4	962	341
5	1507	341
6	2022	341
7	2605	341
8	2986	341
9	3324	341
10	3467	341
11	3755	341
12	4061	341
13	4652	341
14	6557	341
0	8354	341

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

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

localize275.0ms (2.2%)

Memory

10.4MiB live, 206.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0.05078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
accuracy	30.179902548873105	#s(approx (exp (neg im)) #s(literal 1 binary64))
accuracy	30.782479588849213	(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
accuracy	0.03125	(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	0.05078125	(.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	0.10546875	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	5.466803277574151	#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	0.04296875	(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
accuracy	0.05078125	(.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	0.1015625	(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy	10.230699570490266	#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	(sin.f64 re)
accuracy	0	(neg.f64 im)
accuracy	0.08984375	(*.f64 (neg.f64 im) (sin.f64 re))
accuracy	29.424034410164104	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
accuracy	0.05078125	(.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	0.05859375	(fma.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	0.2811690650981892	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	3.757576402142865	#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

78.0ms	127×	0	valid
61.0ms	82×	1	valid
40.0ms	47×	2	valid

Compiler

Compiled 263 to 34 computations (87.1% saved)

Precisions

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

const: 37.0ms (28.2% of total)

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

ival-add: 23.0ms (17.5% of total)

ival-exp: 20.0ms (15.2% of total)

adjust: 9.0ms (6.9% of total)

ival-sin: 6.0ms (4.6% of total)

ival-sub: 2.0ms (1.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series75.0ms (0.6%)

Memory

-16.5MiB live, 27.3MiB allocated

Counts

21 → 324

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 im) (sin.f64 re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 im) (sin.f64 re)) (patch (.f64 (neg.f64 im) (sin.f64 re)) #<representation binary64>) () ())
#s(alt (neg.f64 im) (patch (neg.f64 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 #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 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) (patch (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #<representation binary64>) () ())
#s(alt (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 #s(approx (exp (neg im)) #s(literal 1 binary64)) (patch #s(approx (exp (neg im)) #s(literal 1 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 im) (sin.f64 re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<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 im) (sin.f64 re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<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 im) (sin.f64 re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<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 im) (sin.f64 re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (.f64 (neg.f64 im) (sin.f64 re)) (patch (.f64 (neg.f64 im) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt (.f64 (neg.f64 im) (sin.f64 re)) (patch (.f64 (neg.f64 im) (sin.f64 re)) #<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 im) (sin.f64 re)) (patch (.f64 (neg.f64 im) (sin.f64 re)) #<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 im) (sin.f64 re)) (patch (.f64 (neg.f64 im) (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>) () ())) ())
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#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)) #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 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#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 (* (sin re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#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 (- (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 (- (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 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) (patch (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) (patch (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) (patch (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) (patch (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* -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 (* -1 im)) (taylor -inf im) (#s(alt #s(approx (exp (neg im)) #s(literal 1 binary64)) (patch #s(approx (exp (neg im)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt #s(approx (exp (neg im)) #s(literal 1 binary64)) (patch #s(approx (exp (neg im)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt #s(approx (exp (neg im)) #s(literal 1 binary64)) (patch #s(approx (exp (neg im)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt #s(approx (exp (neg im)) #s(literal 1 binary64)) (patch #s(approx (exp (neg im)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (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
53.0ms	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 im) (sin re)) (neg im) (* (* 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))) (- (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 (neg im)) (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 im) (sin re)) (neg im) (* (* 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))) (- (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 (neg im)) (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 im) (sin re)) (neg im) (* (* 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))) (- (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 (neg im)) (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 im) (sin re)) (neg im) (* (* 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))) (- (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 (neg 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)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (neg im) (* (* 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))) (- (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 (neg im)) (exp im))

simplify388.0ms (3.2%)

Memory

1.3MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 394×	`lower-fma.f64`
15 394×	`lower-fma.f32`
6 336×	`lower-+.f64`
6 336×	`lower-+.f32`
4 364×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	3243
1	616	3069
2	1938	3024
3	4487	2972
0	8364	2820

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 323

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

rewrite238.0ms (1.9%)

Memory

5.9MiB live, 168.1MiB allocated

Rules

4 538×	`lower-*.f32`
4 524×	`lower-/.f64`
4 524×	`lower-/.f32`
4 518×	`lower-*.f64`
3 848×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	241
0	66	241
1	218	241
2	1387	241
0	8315	241

Stop Event

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

Counts

21 → 374

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 im) (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.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)))
#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 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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))
#s(approx (exp (neg im)) #s(literal 1 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))
(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 (.f64 (sin.f64 re) #s(literal -1 binary64)) im)
(.f64 #s(literal -1 binary64) (.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 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))))))
(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 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im im #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 im #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 im) (neg.f64 im)) (.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 im im))) (neg.f64 im))
(/.f64 (neg.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im im #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 im im)) im)
(/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im im #s(literal 0 binary64)) (neg.f64 (pow.f64 im #s(literal 3 binary64)))))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im im) im))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 im im #s(literal 0 binary64))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 im im #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))
(.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)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (.f64 im #s(literal -2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 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))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 4 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))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (*.f64 im #s(literal -2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal 9 binary64)) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal 6 binary64)) (-.f64 #s(literal 64 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (.f64 im #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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))) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (*.f64 im #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (.f64 im #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (*.f64 im #s(literal -2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (.f64 im #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) (.f64 im #s(literal -2 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))))
(fma.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (.f64 im im)) (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216000 binary64) #s(literal -1/27 binary64)) (.f64 im im)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 im im) #s(literal 1/180 binary64)))) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 im im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (pow.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 im im) (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 im im) #s(literal 1/180 binary64)))) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im #s(literal -2 binary64))
(fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 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)))))
(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 (.f64 im im) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 im (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.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 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.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 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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))) (/.f64 #s(literal 4 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))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 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))) (neg.f64 (/.f64 #s(literal 4 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)))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64)) im) im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)

eval132.0ms (1.1%)

Memory: 12.3MiB live, 200.6MiB allocated
Compiler: Compiled 18 055 to 2 258 computations (87.5% saved)

prune83.0ms (0.7%)

Memory

-18.8MiB live, 228.2MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	772	15	787
Fresh	0	2	2
Picked	3	2	5
Done	0	1	1
Total	775	20	795

Accuracy

100.0%

Counts

795 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(.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))))
✓	62.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	94.0%	(.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)))
▶	57.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
	57.5%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #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)))
	53.4%	(.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 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	48.4%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
	57.2%	(.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)))
▶	55.3%	(.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)))
	51.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
	31.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64))) (sin.f64 re)))
	60.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
▶	93.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
▶	89.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
	80.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
	60.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
✓	54.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
	36.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
▶	31.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

Compiler

Compiled 645 to 482 computations (25.3% saved)

simplify236.0ms (1.9%)

Memory

1.3MiB live, 240.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
cost-diff	0	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 #s(literal -1/60 binary64) (.f64 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 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(neg.f64 im)
cost-diff	0	(*.f64 (neg.f64 im) re)
cost-diff	0	#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
cost-diff	192	(.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)

Rules

19 730×	`lower-fma.f32`
19 706×	`lower-fma.f64`
3 622×	`lower-+.f64`
3 622×	`lower-+.f32`
3 604×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	526
0	101	526
1	198	526
2	452	526
3	1210	524
4	2845	524
5	4815	524
6	7593	524
0	8009	522

Stop Event

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

Calls

Call 1

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

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

localize574.0ms (4.7%)

Memory

17.8MiB live, 418.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
accuracy	0.10546875	(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
accuracy	1.667141557198921	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy	6.899461628536085	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
accuracy	0.0703125	(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
accuracy	0.2811690650981892	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	3.757576402142865	#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	32.950078199176055	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
accuracy	0.05078125	(.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)))
accuracy	0.10546875	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	5.466803277574151	#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	32.64730689752041	#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy	0	(*.f64 (neg.f64 im) re)
accuracy	0	(neg.f64 im)
accuracy	29.424034410164104	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
accuracy	32.53429549379224	#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
accuracy	0.2824428769543987	(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))
accuracy	0.30859375	(*.f64 #s(literal -1/6 binary64) im)
accuracy	0.7245380295746198	(.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
accuracy	4.723526267195934	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))

Samples

227.0ms	82×	1	valid
174.0ms	47×	2	valid
127.0ms	127×	0	valid

Compiler

Compiled 408 to 61 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-mult: 229.0ms (48.7% of total)

const: 130.0ms (27.7% of total)

ival-add: 61.0ms (13% of total)

ival-exp: 20.0ms (4.3% of total)

adjust: 16.0ms (3.4% of total)

ival-sin: 7.0ms (1.5% of total)

ival-pow: 3.0ms (0.6% of total)

ival-sub: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series52.0ms (0.4%)

Memory

4.7MiB live, 119.7MiB allocated

Counts

27 → 456

Calls

Call 1

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

Outputs
#s(alt (* im (* re (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))) (taylor 0 re) (#s(alt (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) (patch (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/6 (* im (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))) (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))) (taylor 0 re) (#s(alt (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) (patch (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))) (* 1/120 (* im (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))))))) (taylor 0 re) (#s(alt (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) (patch (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))) (* 1/120 (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))))))))) (taylor 0 re) (#s(alt (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) (patch (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im) #<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 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) 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 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) 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 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) 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 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (* (pow im 4) (sin re))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 4) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 2))) 1/120)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #<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 (- (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>) () ())) ())
#s(alt (* -1/120 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (* (pow im 5) (sin re))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	re	@	inf	((* (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* -1/6 im) (+ (* (* im im) -1/5040) -1/120) (+ (* -1/60 (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* 1/240 (* re re)) -1/12) (+ (* (* im im) -1/120) -1/6) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im))
6.0ms	re	@	0	((* (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* -1/6 im) (+ (* (* im im) -1/5040) -1/120) (+ (* -1/60 (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* 1/240 (* re re)) -1/12) (+ (* (* im im) -1/120) -1/6) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im))
4.0ms	im	@	-inf	((* (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* -1/6 im) (+ (* (* im im) -1/5040) -1/120) (+ (* -1/60 (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* 1/240 (* re re)) -1/12) (+ (* (* im im) -1/120) -1/6) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im))
4.0ms	re	@	-inf	((* (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* -1/6 im) (+ (* (* im im) -1/5040) -1/120) (+ (* -1/60 (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* 1/240 (* re re)) -1/12) (+ (* (* im im) -1/120) -1/6) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im))
4.0ms	im	@	inf	((* (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (+ (* (* im im) -1/5040) -1/120) (pow im 4)) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (neg im) re) (neg im) (* (* 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)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1) (* -1/6 im) (+ (* (* im im) -1/5040) -1/120) (+ (* -1/60 (* im im)) -1/3) (- (exp (neg im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* 1/240 (* re re)) -1/12) (+ (* (* im im) -1/120) -1/6) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im))

simplify317.0ms (2.6%)

Memory

9.1MiB live, 372.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 524×	`lower-fma.f64`
17 524×	`lower-fma.f32`
5 604×	`lower-+.f64`
5 604×	`lower-+.f32`
5 598×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	5788
1	1154	5510
2	4079	5220
3	7928	5220
0	8193	4876

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 455

Calls

Call 1

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

Outputs
(* im (* re (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))
(.f64 (.f64 re im) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))))
(* re (+ (* -1/6 (* im (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))) (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re)
(* re (+ (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))) (* 1/120 (* im (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))))))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) im) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 re re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) im)) re)
(* re (+ (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))) (* 1/120 (* im (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 re re) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (*.f64 re re) im))) re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (-.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 #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))) (* 1/240 (* (pow re 2) (- (exp (neg im)) (exp im))))))))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (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 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)
(* re (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) re)
(* re (- (+ (* -1/6 (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))) (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)))) 1))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) re)
(* re (- (+ (* -1/6 (pow im 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/6 (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)) (* 1/120 (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))))))) 1))
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(* re (- (+ (* -1/6 (pow im 2)) (+ (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120)) (* (pow re 2) (+ (* -1/6 (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1))) (* 1/120 (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))))))) 1))
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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 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
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(* 1/2 (* re (- (exp (neg im)) (exp im))))
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(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
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(* 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))))))))
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(* 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 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)
(* -1 (* im re))
(*.f64 (neg.f64 im) re)
(* re (+ (* -1 im) (* 1/6 (* im (pow re 2)))))
(.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)
(* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im)))))
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(* 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 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))) re)
(* -1 (* im re))
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(* -1 (* im re))
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(* -1 (* im re))
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(* -1 (* im re))
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(* 1/2 (* re (- (exp (neg im)) (exp im))))
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(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
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(* 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))))))))
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(* 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 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)
(* 1/2 re)
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(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
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(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
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(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* 1/2 (* re (- (exp (neg im)) (exp im))))
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(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
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(* 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))))))))
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(* 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)))))))))
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(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
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(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
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(* 1/2 re)
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(* re (+ 1/2 (* -1/12 (pow re 2))))
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(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
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(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
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(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(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 (* re (- (exp (neg im)) (exp im))))
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(* re (+ (* -1/12 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))))
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(* 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 (fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 re re) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (- (exp (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 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))) re)
(* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)
(* re (- (+ (* -1/6 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6))) 1))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) re)
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* 1/120 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))) 1))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) im) im (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) re) re) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) re)
(* re (- (+ (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) (* (pow re 2) (+ (* -1/6 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))) 1))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 re re) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)))) re)
-1/12
#s(literal -1/12 binary64)
(- (* 1/240 (pow re 2)) 1/12)
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(- (* 1/240 (pow re 2)) 1/12)
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(- (* 1/240 (pow re 2)) 1/12)
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(* im (* re (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)
(* re (+ (* -1/6 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re)
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* 1/120 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im) re))
(* re (+ (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)) (* (pow re 2) (+ (* -1/6 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))) (* (pow re 2) (+ (* -1/5040 (* im (* (pow re 2) (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))) (* 1/120 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)))))))))
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(* im (* (sin re) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))
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(* im (* (sin re) (- (+ (* -1/6 (pow im 2)) (* (pow im 4) (- (* -1/5040 (pow im 2)) 1/120))) 1)))
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(*.f64 #s(literal -1/6 binary64) im)
(* -1/6 im)
(*.f64 #s(literal -1/6 binary64) im)
(* -1/5040 (pow im 2))
(.f64 #s(literal -1/5040 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/120 (pow im 2))
(.f64 (.f64 #s(literal -1/120 binary64) im) im)
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64))
(* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64))
(* -1/120 (* (pow im 5) (sin re)))
(.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)) (sin.f64 re))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2))))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 im #s(literal 4 binary64)))))
(* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (sin.f64 re) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) im) im) #s(literal -1/120 binary64)) (/.f64 (neg.f64 (sin.f64 re)) (pow.f64 im #s(literal 4 binary64)))))

rewrite226.0ms (1.8%)

Memory

-3.6MiB live, 391.6MiB allocated

Rules

5 278×	`lower-fma.f32`
5 254×	`lower-fma.f64`
4 718×	`lower-*.f32`
4 690×	`lower-*.f64`
3 566×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	386
0	101	386
1	370	386
2	2561	386
0	8993	386

Stop Event

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

Counts

27 → 350

Calls

Call 1

Inputs
(.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
(.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(sin.f64 re)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re))
(*.f64 (neg.f64 im) re)
(neg.f64 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)))
#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 #s(literal -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 #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 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)

Outputs
(.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) im) (sin.f64 re))
(.f64 (.f64 im (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) (sin.f64 re)) im)
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) (.f64 im (sin.f64 re)))
(.f64 im (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) (sin.f64 re)))
(.f64 (sin.f64 re) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) im))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) im) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) im) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) im) (.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) im) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) im) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) im)) (.f64 (.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) im) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) im)))))
(/.f64 (+.f64 (pow.f64 (.f64 im (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re))) #s(literal 3 binary64)) (pow.f64 (.f64 im (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re))) #s(literal 3 binary64))) (fma.f64 (.f64 im (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re))) (.f64 im (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re))) (-.f64 (.f64 (.f64 im (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re))) (.f64 im (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)))) (.f64 (.f64 im (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re))) (.f64 im (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)))))))
(fma.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) im (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) im))
(fma.f64 im (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) (.f64 im (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re))))
(+.f64 (.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) im) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) im))
(+.f64 (.f64 im (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re))) (.f64 im (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 im (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) (sin.f64 re))
(.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)))) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)))) (sin.f64 re)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)))) (sin.f64 re)) (-.f64 (.f64 (sin.f64 re) (sin.f64 re)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)))) (sin.f64 re)) (neg.f64 (sin.f64 re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))))) (.f64 (sin.f64 re) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))))) (-.f64 (.f64 (sin.f64 re) (sin.f64 re)) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))))) (neg.f64 (sin.f64 re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (sin.f64 re)) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (sin.f64 re))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 2 binary64))) (sin.f64 re))) (neg.f64 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
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eval149.0ms (1.2%)

Memory: -17.9MiB live, 255.8MiB allocated
Compiler: Compiled 21 598 to 2 430 computations (88.7% saved)

prune391.0ms (3.2%)

Memory

4.2MiB live, 207.8MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	805	12	817
Fresh	5	7	12
Picked	1	4	5
Done	0	3	3
Total	811	26	837

Accuracy

100.0%

Counts

837 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(.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))))
✓	62.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	94.0%	(.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)))
	57.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
	53.4%	(.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 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	57.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
	48.4%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	55.3%	(.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)))
	55.3%	(.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)))
	51.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	41.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (.f64 im (sin.f64 re)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im)) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (pow.f64 (.f64 (.f64 im (sin.f64 re)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im)) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 re)) (.f64 (.f64 im (sin.f64 re)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im)))))) im))
	31.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64))) (sin.f64 re)))
	60.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
✓	93.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
▶	89.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
✓	89.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
▶	80.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
	60.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
✓	54.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
▶	53.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
▶	57.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re)))
	55.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
	36.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
	40.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
▶	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
✓	31.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

Compiler

Compiled 887 to 615 computations (30.7% saved)

simplify189.0ms (1.5%)

Memory

0.9MiB live, 287.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re)
cost-diff	0	#s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re)))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)
cost-diff	0	#s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re))
cost-diff	0	(.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im)
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
cost-diff	0	(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)
cost-diff	0	#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
cost-diff	6464	(fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))

Rules

18 972×	`lower-fma.f32`
18 958×	`lower-fma.f64`
3 940×	`lower-+.f64`
3 940×	`lower-+.f32`
3 546×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	615
0	89	584
1	206	584
2	532	578
3	1906	578
4	5061	578
5	7913	578
0	8113	574

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (1.6%)

Memory

8.2MiB live, 444.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
accuracy	1.667141557198921	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy	6.899461628536085	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
accuracy	29.43058488476986	#s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64))
accuracy	1.4475638519684226	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re)
accuracy	4.328961222321902	(fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)
accuracy	6.899461628536085	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re)))
accuracy	26.438865223529692	#s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re))
accuracy	0.0859375	(*.f64 #s(literal -1/120 binary64) im)
accuracy	1.643704057198921	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)
accuracy	6.899461628536085	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
accuracy	27.30816873126985	#s(approx (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re))
accuracy	0.10546875	(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))
accuracy	4.305523722321902	(.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64)))
accuracy	29.424034410164104	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
accuracy	32.75272403878844	#s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))
accuracy	0.17578125	(.f64 #s(literal -1/120 binary64) (.f64 im im))
accuracy	0.30859375	(*.f64 #s(literal -1/6 binary64) im)
accuracy	1.667141557198921	(.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
accuracy	6.899461628536085	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))

Samples

69.0ms	91×	1	valid
51.0ms	130×	0	valid
36.0ms	35×	2	valid

Compiler

Compiled 442 to 48 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 47.0ms (40.4% of total)

ival-exp: 18.0ms (15.5% of total)

ival-add: 15.0ms (12.9% of total)

const: 14.0ms (12% of total)

adjust: 10.0ms (8.6% of total)

ival-sin: 7.0ms (6% of total)

ival-sub: 3.0ms (2.6% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory

-5.5MiB live, 106.9MiB allocated

Counts

25 → 504

Calls

Call 1

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

Outputs
#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 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 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 #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 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 #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 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 #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)) #<representation binary64>) () ())) ())
#s(alt (* re (- (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4))) 1)) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (- (+ (* -1/6 (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4))) 1))) (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4)))) 1)) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (- (+ (* -1/6 (pow im 2)) (+ (* -1/120 (pow im 4)) (* (pow re 2) (+ (* -1/6 (- (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4))) 1)) (* 1/120 (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4))) 1))))))) 1)) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (- (+ (* -1/6 (pow im 2)) (+ (* -1/120 (pow im 4)) (* (pow re 2) (+ (* -1/6 (- (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4))) 1)) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (- (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4))) 1))) (* 1/120 (- (+ (* -1/6 (pow im 2)) (* -1/120 (pow im 4))) 1)))))))) 1)) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #<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))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) #<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))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) #<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))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) #<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))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) (patch #s(approx ( (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) (patch #s(approx ( (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* (pow re 2) (+ (* -1/120 (* im (pow re 2))) (* 1/6 im))))) (taylor 0 re) (#s(alt #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) (patch #s(approx ( (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) #<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 #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) (patch #s(approx ( (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im re)) (taylor 0 re) (#s(alt (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) (patch (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) (patch (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) (patch (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (taylor 0 re) (#s(alt (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) (patch (.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 re) (#s(alt (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) (patch (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (taylor 0 re) (#s(alt (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) (patch (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (taylor 0 re) (#s(alt (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) (patch (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (taylor 0 re) (#s(alt (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) (patch (.f64 im (fma.f64 (.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) #<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 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) re)) im)) (patch #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im)) #<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 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) 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 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (* (pow im 5) (sin re))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (* 1/6 (/ (sin re) (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ (* 1/120 (sin re)) (+ (* 1/6 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (* (pow im 4) (sin re))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re)))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ (* -1 (/ (sin re) (pow im 4))) (+ (* -1/6 (/ (sin re) (pow im 2))) (* -1/120 (sin re))))) (taylor -inf im) (#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/120 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/120 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/120 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/120 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/120 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) im) (patch (.f64 #s(literal -1/120 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/120 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) im) (patch (.f64 #s(literal -1/120 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/120 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) im) (patch (.f64 #s(literal -1/120 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1/120 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/120 binary64) im) (patch (.f64 #s(literal -1/120 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* 1/6 (pow re 2)) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* 1/6 (pow re 2)) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* 1/6 (pow re 2)) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* 1/6 (pow re 2)) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* -1/120 (pow im 2)) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) (patch #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) (patch #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) (patch #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/120 (* 1/6 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) (patch #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	re	@	inf	((+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (* im (+ (* (* re re) 1/6) -1)) re) (* im (+ (* (* re re) 1/6) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (+ (* (* -1/6 im) (* re re)) im)) re) (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* -1/6 im) (* -1/120 (* im im)) (+ (* (* re re) 1/6) -1) (* -1/120 im) (+ (* (* -1/6 im) (* re re)) im) (+ (* (* im im) -1/120) -1/6))
8.0ms	im	@	-inf	((+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (* im (+ (* (* re re) 1/6) -1)) re) (* im (+ (* (* re re) 1/6) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (+ (* (* -1/6 im) (* re re)) im)) re) (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* -1/6 im) (* -1/120 (* im im)) (+ (* (* re re) 1/6) -1) (* -1/120 im) (+ (* (* -1/6 im) (* re re)) im) (+ (* (* im im) -1/120) -1/6))
5.0ms	im	@	inf	((+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (* im (+ (* (* re re) 1/6) -1)) re) (* im (+ (* (* re re) 1/6) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (+ (* (* -1/6 im) (* re re)) im)) re) (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* -1/6 im) (* -1/120 (* im im)) (+ (* (* re re) 1/6) -1) (* -1/120 im) (+ (* (* -1/6 im) (* re re)) im) (+ (* (* im im) -1/120) -1/6))
4.0ms	im	@	0	((+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (* im (+ (* (* re re) 1/6) -1)) re) (* im (+ (* (* re re) 1/6) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (+ (* (* -1/6 im) (* re re)) im)) re) (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* -1/6 im) (* -1/120 (* im im)) (+ (* (* re re) 1/6) -1) (* -1/120 im) (+ (* (* -1/6 im) (* re re)) im) (+ (* (* im im) -1/120) -1/6))
4.0ms	re	@	-inf	((+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (+ (* (* (* -1/120 (* im im)) im) im) (+ (* (* -1/6 im) im) -1))) (sin re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (neg im) (sin re)) (* (* im (+ (* (* re re) 1/6) -1)) re) (* im (+ (* (* re re) 1/6) -1)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (* (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (+ (* (* -1/6 im) (* re re)) im)) re) (+ (* (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (* -1/6 im) (* -1/120 (* im im)) (+ (* (* re re) 1/6) -1) (* -1/120 im) (+ (* (* -1/6 im) (* re re)) im) (+ (* (* im im) -1/120) -1/6))

simplify201.0ms (1.6%)

Memory

2.7MiB live, 274.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 658×	`lower-fma.f64`
17 658×	`lower-fma.f32`
5 976×	`lower-*.f64`
5 976×	`lower-*.f32`
5 008×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	7734
1	1071	7308
2	4022	6733
0	8168	6283

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

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

rewrite265.0ms (2.2%)

Memory

7.3MiB live, 376.6MiB allocated

Rules

5 564×	`lower-fma.f32`
5 550×	`lower-fma.f64`
4 364×	`lower-*.f32`
4 332×	`lower-*.f64`
4 170×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	476
0	89	450
1	330	450
2	2138	450
0	8515	450

Stop Event

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

Counts

25 → 455

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/1728000 binary64) (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) (neg.f64 im))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (/.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/6 binary64) im) im)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) (-.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) (.f64 (*.f64 #s(literal -1/6 binary64) im) im)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)))) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64)))))))
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(fma.f64 (.f64 (.f64 re re) im) #s(literal -1/6 binary64) im)
(fma.f64 (.f64 re (.f64 #s(literal -1/6 binary64) im)) re im)
(fma.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) im im)
(fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)
(fma.f64 re (.f64 re (.f64 #s(literal -1/6 binary64) im)) im)
(fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 re re) im) im)
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 re re)) im)
(-.f64 (/.f64 (.f64 im im) (-.f64 im (.f64 (.f64 (.f64 re re) im) #s(literal -1/6 binary64)))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 2 binary64))) (-.f64 im (.f64 (.f64 (*.f64 re re) im) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) im) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) im (neg.f64 im))) (/.f64 (.f64 im im) (fma.f64 (.f64 (*.f64 re re) #s(literal -1/6 binary64)) im (neg.f64 im))))
(+.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal -1/6 binary64)) im)
(+.f64 im (.f64 (.f64 (*.f64 re re) im) #s(literal -1/6 binary64)))
#s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64))

eval188.0ms (1.5%)

Memory: 31.0MiB live, 332.9MiB allocated
Compiler: Compiled 28 605 to 3 065 computations (89.3% saved)

prune128.0ms (1%)

Memory

-39.4MiB live, 297.0MiB allocated

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	1 064	13	1 077
Fresh	1	13	14
Picked	3	2	5
Done	0	7	7
Total	1 068	35	1 103

Accuracy

100.0%

Counts

1 103 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(.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))))
✓	62.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	94.0%	(.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)))
	57.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
	53.4%	(.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 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	57.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
	48.4%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
✓	55.3%	(.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)))
	55.3%	(.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)))
	51.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	45.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 re)) (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)))))) im))
	31.1%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64))) (sin.f64 re)))
	60.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) (neg.f64 (sin.f64 re))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) #s(literal 2 binary64)) (*.f64 (sin.f64 re) (sin.f64 re))))) im))
	60.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
✓	93.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
✓	89.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))
✓	89.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
✓	80.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
	60.7%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
✓	54.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
	53.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
	53.8%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
	47.9%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
	57.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
	25.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.f64 (.f64 (*.f64 im re) re) #s(literal -1/6 binary64)))) re)))
	55.3%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
	36.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) re)))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
	40.6%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
	37.2%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
	35.5%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
	24.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 #s(literal 1/6 binary64) (.f64 re re)))) re)))
✓	31.0%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
	24.4%	#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re)))

Compiler

Compiled 1 577 to 749 computations (52.5% saved)

regimes133.0ms (1.1%)

Memory

22.9MiB live, 139.2MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
(.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))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 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 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) (neg.f64 (sin.f64 re))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) #s(literal 2 binary64)) (*.f64 (sin.f64 re) (sin.f64 re))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 re)) (.f64 (.f64 (sin.f64 re) im) (.f64 #s(approx (+ (* (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) im)))))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (.f64 im (sin.f64 re)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im)) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (pow.f64 (.f64 (.f64 im (sin.f64 re)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im)) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 re)) (.f64 (.f64 im (sin.f64 re)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) im)))))) im))
(.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))))

Outputs

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

Calls

6 calls:

44.0ms	(sin.f64 re)
35.0ms	im
14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
14.0ms	re
12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
94.0%	1	`re`
99.9%	2	`im`
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
94.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
94.0%	1	`(sin.f64 re)`
99.9%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes46.0ms (0.4%)

Memory

9.1MiB live, 47.8MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
(.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))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64))) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))

Outputs

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

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

Calls

2 calls:

31.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
12.0ms	im

Results

Accuracy	Segments	Branch
99.6%	2	`im`
99.6%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes28.0ms (0.2%)

Memory

1.3MiB live, 42.1MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
(.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))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im #s(literal 0 binary64))) (sin.f64 re)))

Outputs

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

2 calls:

13.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
12.0ms	im

Results

Accuracy	Segments	Branch
99.6%	2	`im`
99.6%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes37.0ms (0.3%)

Memory

-7.0MiB live, 66.8MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
(.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))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 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)))

Outputs

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

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

Calls

3 calls:

14.0ms	im
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.6%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
97.7%	3	`im`
94.0%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes13.0ms (0.1%)

Memory

-10.1MiB live, 28.2MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
(.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))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) im) im (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im))

Outputs

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

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

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

Calls

1 calls:

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
99.5%	3	`(.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)

regimes11.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (.f64 im im)))) (sin.f64 re)))
(.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)))

Outputs

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

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
99.5%	3	`(.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)

regimes13.0ms (0.1%)

Memory

-24.6MiB live, 24.0MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (sin.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( (* im im) -1/120) -1/6) #s(literal -1/6 binary64)) #s(literal -1 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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 im im)) (/.f64 #s(literal 1 binary64) im)) (sin.f64 re)))

Outputs

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

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.4%	3	`(.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)

regimes12.0ms (0.1%)

Memory

-18.3MiB live, 19.1MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))

Outputs

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

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

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

Calls

1 calls:

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
99.2%	3	`(.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)

regimes57.0ms (0.5%)

Memory

30.7MiB live, 106.1MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 im) (sin.f64 re)))

Outputs

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

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

Calls

6 calls:

12.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms	(sin.f64 re)
9.0ms	re
9.0ms	im

Results

Accuracy	Segments	Branch
74.7%	2	`re`
77.2%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
77.2%	3	`(sin.f64 re)`
84.5%	2	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
84.5%	2	`im`
96.9%	3	`(.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)

regimes61.0ms (0.5%)

Memory

-29.0MiB live, 91.7MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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

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

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

12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
12.0ms	(sin.f64 re)
9.0ms	im
9.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	re

Results

Accuracy	Segments	Branch
60.2%	2	`re`
70.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
70.2%	2	`(sin.f64 re)`
57.5%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
57.5%	1	`im`
70.0%	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)

regimes19.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (.f64 #s(literal -1/6 binary64) im) im)))) re)))

Outputs

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

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

Calls

2 calls:

9.0ms	(sin.f64 re)
8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
70.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
70.2%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes28.0ms (0.2%)

Memory

-10.2MiB live, 27.6MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -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 im) (sin re)) (.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 im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 re re) #s(literal -1 binary64)) (*.f64 im re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 re (.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im)) 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)))
(.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) #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 im) (sin re)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) (+.f64 #s(literal 0 binary64) im)) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 im #s(literal -1/120 binary64)) im #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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)))
(.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 (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)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (.f64 im #s(approx (+ (* (* re re) 1/6) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 (fma.f64 (.f64 (.f64 im #s(literal -1/120 binary64)) im) (.f64 im im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) 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 (fma.f64 #s(literal -1/2520 binary64) (.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 (+ ( (+ (* 1/240 (* 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)))

Outputs

#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (*.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 (fma.f64 #s(literal -1/2520 binary64) (*.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:

11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
8.0ms	(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
69.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
69.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
69.8%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes42.0ms (0.3%)

Memory

1.3MiB live, 44.0MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

27.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	(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
67.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
68.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
68.3%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes37.0ms (0.3%)

Memory

-9.0MiB live, 30.3MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

2 calls:

28.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
68.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
68.0%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes44.0ms (0.4%)

Memory

2.3MiB live, 41.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

29.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
67.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
67.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
67.6%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes18.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	(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
66.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
66.9%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
66.9%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes134.0ms (1.1%)

Memory

-22.7MiB live, 16.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

128.0ms	(sin.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
66.9%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
66.9%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes13.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

3 calls:

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
62.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
62.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
62.8%	2	`(sin.f64 re)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes118.0ms (1%)

Memory

-22.0MiB live, 19.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

107.0ms	re
4.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(sin.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
51.3%	2	`re`
59.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
59.4%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
59.4%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 20 computations (-11.1% saved)

regimes18.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	re
3.0ms	(sin.f64 re)
3.0ms	im
2.0ms	(.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	`re`
37.2%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
37.2%	1	`im`
42.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
42.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
42.6%	2	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes5.0ms (0%)

Memory

-28.1MiB live, 10.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Calls

2 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
42.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
42.6%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB 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))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

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

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
31.0%	1	`re`
31.0%	1	`im`
31.0%	1	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
31.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
31.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
31.0%	1	`(sin.f64 re)`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.5456089890369847	-0.0005594712275688307

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	-2.105296785238017e+231	-2.296500056200688

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	-2.105296785238017e+231	-2.296500056200688

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2516422548313647	+inf
0.0ms	-3.9481374768074955e+125	-1.0408155134751678

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2516422548313647	+inf
0.0ms	-3.9481374768074955e+125	-1.0408155134751678

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch3.0ms (0%)

Memory

-36.0MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2516422548313647	+inf
0.0ms	-3.9481374768074955e+125	-1.0408155134751678

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2516422548313647	+inf
0.0ms	-3.9481374768074955e+125	-1.0408155134751678

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2516422548313647	+inf
0.0ms	-3.9481374768074955e+125	-1.0408155134751678

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2516422548313647	+inf
0.0ms	-3.9481374768074955e+125	-1.0408155134751678

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.014838430022969857	1.2003671390990885e-305

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.014838430022969857	1.2003671390990885e-305

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1556884966298857e-6	0.08898685517221896

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	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0246460415176185e-7	1.1556884966298857e-6

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.020969714645749517	-0.014838430022969857

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify43.0ms (0.4%)

Memory

-1.6MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

Rules

114×	`-commutative-binary64-.f64`
16×	`+-commutative-binary64-+.f64`
16×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	2029
1	266	2029
2	282	2029
3	293	2029
4	300	2029
5	302	2029

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64)) (.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 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1/2 binary64)) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 im) (sin.f64 re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.f64 (.f64 (*.f64 im re) re) #s(literal -1/6 binary64)))) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 1/2 binary64)) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 (neg.f64 im) (sin.f64 re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.f64 (.f64 (*.f64 im re) re) #s(literal -1/6 binary64)))) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.f64 (.f64 (.f64 im re) re) #s(literal -1/6 binary64)))) re))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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 -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.f64 (.f64 (.f64 im re) re) #s(literal -1/6 binary64)))) re))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (- (exp (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))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 (fma.f64 #s(literal -1/2520 binary64) (.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 4722366482869645/2361183241434822606848 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #s(approx (+ (* (* -1/6 im) (* re re)) im) (.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 -5764607523034235/288230376151711744 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 #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 -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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 im) (sin re)) (*.f64 (neg.f64 im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (*.f64 (neg.f64 im) re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))

Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64)) (.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 (sin.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64)) (.f64 (.f64 (sin.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 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) (*.f64 (sin.f64 re) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -2000000000000000112950822041041682829681252763966116749401130328310913127935156394378439523178919965959536338695072724193131961289213847754610320291206559558839567880608124639637128476165182553839199176610603506544803697392590258176 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.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 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) im)))
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(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im)) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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))))
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 re re) im) (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 re re) #s(literal 1/6 binary64)) im) (.f64 re re) (neg.f64 im)) re))))
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(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 #s(approx (+ (* (* -1/6 im) (* re re)) im) (.f64 (.f64 (.f64 re im) re) #s(literal -1/6 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))) re))) (.f64 #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)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 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 #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 -5764607523034235/288230376151711744 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)) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) (.f64 #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)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 re im) re))) re))) (.f64 #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)) #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 re im) re))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (* (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) im) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 re im) re))) re))) (.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(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 re im) re))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (.f64 #s(approx ( (sin re) (+ (* (* im im) (+ (* (* im im) -1/120) -1/6)) -1)) (.f64 #s(approx (+ ( (+ (* (* -1/120 im) im) -1/6) (* im im)) -1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))) re)) im)))
(if (<=.f64 (sin.f64 re) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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 im) (sin re)) (*.f64 (neg.f64 im) re))))
(if (<=.f64 (sin.f64 re) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.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))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -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 im) (sin re)) (*.f64 (neg.f64 im) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (.f64 #s(approx ( im (+ (* (* re re) 1/6) -1)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 re im) re))) re))) #s(approx ( (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 (neg.f64 im) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* (neg im) (sin re)) (*.f64 re (neg.f64 im))))

soundness2.7s (21.8%)

Memory

-110.8MiB live, 1 248.3MiB allocated

Rules

24 526×	`lower-fma.f64`
24 526×	`lower-fma.f32`
17 658×	`lower-fma.f64`
17 658×	`lower-fma.f32`
17 524×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	5788
1	1154	5510
2	4079	5220
3	7928	5220
0	8193	4876
0	201	3243
1	616	3069
2	1938	3024
3	4487	2972
0	8364	2820
0	146	699
1	413	664
2	1136	652
3	3928	631
4	6813	631
0	8435	593
0	317	7734
1	1071	7308
2	4022	6733
0	8168	6283
0	59	386
0	101	386
1	370	386
2	2561	386
0	8993	386

Stop Event

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

Compiler

Compiled 1 570 to 731 computations (53.4% saved)

preprocess350.0ms (2.9%)

Memory: 18.8MiB live, 481.0MiB allocated
Remove: (negabs re)
Compiler: Compiled 2 684 to 662 computations (75.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated