Metrics for Linear.Quaternion:$ccos from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.2%)

Memory

-0.5MiB live, 37.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample961.0ms (9.6%)

Memory

8.3MiB live, 1 649.5MiB allocated

Samples

726.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 496.0ms

ival-sin: 273.0ms (55% of total)

ival-mult: 107.0ms (21.6% of total)

ival-div: 65.0ms (13.1% of total)

ival-sinh: 42.0ms (8.5% of total)

ival-true: 6.0ms (1.2% of total)

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

Bogosity

explain107.0ms (1.1%)

Memory

-11.6MiB live, 145.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sinh.f64 y)`
-	-	`(/.f64 (sinh.f64 y) y)`
-	-	`y`
-	-	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
-	-	`(sin.f64 x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

55.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 25.0ms (58.8% of total)

ival-sin: 10.0ms (23.5% of total)

ival-div: 4.0ms (9.4% of total)

ival-sinh: 3.0ms (7.1% of total)

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

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

preprocess431.0ms (4.3%)

Memory

0.8MiB live, 200.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 656×	`lower-fma.f64`
2 656×	`lower-fma.f32`
1 792×	`lower-*.f32`
1 790×	`lower-*.f64`
1 194×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	60	41
2	172	41
3	580	37
4	1988	37
5	4628	37
6	6336	37
7	7331	37
8	7843	37
0	6	7
0	10	7
1	19	7
2	36	7
3	74	7
4	154	7
5	302	7
6	761	7
7	1800	7
8	3035	7
9	4031	7
10	4516	7
11	4594	7
12	4597	7
13	4599	7
14	5019	7
15	5239	7
16	5359	7
17	5493	7
18	5597	7
19	5637	7
20	5653	7
21	5661	7
22	5661	7
23	5779	7
24	6017	7
25	6053	7
26	6053	7
27	6053	7
0	6053	7

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify373.0ms (3.7%)

Memory

31.1MiB live, 106.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sinh.f64 y)
cost-diff	0	(/.f64 (sinh.f64 y) y)
cost-diff	0	(sin.f64 x)
cost-diff	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Rules

2 656×	`lower-fma.f64`
2 656×	`lower-fma.f32`
1 792×	`lower-*.f32`
1 790×	`lower-*.f64`
1 194×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	19	17
2	36	17
3	74	17
4	154	17
5	302	17
6	761	17
7	1800	17
8	3035	17
9	4031	17
10	4516	17
11	4594	17
12	4597	17
13	4599	17
14	5019	17
15	5239	17
16	5359	17
17	5493	17
18	5597	17
19	5637	17
20	5653	17
21	5661	17
22	5661	17
23	5779	17
24	6017	17
25	6053	17
26	6053	17
27	6053	17
0	6053	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize80.0ms (0.8%)

Memory

-30.0MiB live, 88.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (sinh.f64 y) y)
accuracy	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(sinh.f64 y)

Samples

51.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 6.0ms (42.6% of total)

ival-sin: 5.0ms (35.5% of total)

ival-mult: 1.0ms (7.1% of total)

ival-sinh: 1.0ms (7.1% of total)

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

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

series12.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor 0 y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* (sin x) (/ (sinh y) y))
2.0ms	y	@	inf	(* (sin x) (/ (sinh y) y))
1.0ms	x	@	inf	(* (sin x) (/ (sinh y) y))
1.0ms	y	@	0	(* (sin x) (/ (sinh y) y))
1.0ms	x	@	0	(* (sin x) (/ (sinh y) y))

simplify285.0ms (2.9%)

Memory

-0.8MiB live, 244.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 526×	`lower-fma.f64`
15 526×	`lower-fma.f32`
6 162×	`lower-*.f64`
6 162×	`lower-*.f32`
2 900×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	700
1	288	693
2	897	643
3	3139	635
4	7365	635
0	8523	605

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))

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

rewrite156.0ms (1.6%)

Memory

-24.4MiB live, 291.8MiB allocated

Rules

5 128×	`lower-*.f32`
5 126×	`lower-*.f64`
4 518×	`lower-/.f32`
4 516×	`lower-/.f64`
1 718×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	26	15
2	121	15
3	870	15
0	8384	15

Stop Event

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

Counts

4 → 644

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)

Outputs
(.f64 (/.f64 (.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 (.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (.f64 (.f64 y y) y))) (*.f64 y y))
(.f64 (.f64 (/.f64 (neg.f64 (sin.f64 x)) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(.f64 (.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 x) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(.f64 (.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) y))
(.f64 (pow.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (.f64 (sin.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 y)))
(.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 y)))
(.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (.f64 #s(literal -2 binary64) y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (sin.f64 x) (+.f64 y y)) (.f64 #s(literal 2 binary64) (sinh.f64 y)))
(.f64 (/.f64 (sin.f64 x) (.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) #s(literal -1/2 binary64))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (.f64 #s(literal -2 binary64) y))))) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))))) (/.f64 (sin.f64 x) (+.f64 (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (.f64 #s(literal -2 binary64) y))))) (/.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))))) (/.f64 (/.f64 (sin.f64 x) y) (+.f64 (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))))
(.f64 (/.f64 (.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)))
(.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (/.f64 y (.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y)) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) y)) (sin.f64 x)) #s(literal -1/2 binary64))
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(fma.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (cosh.f64 y) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (.f64 #s(literal -2 binary64) y))) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (.f64 #s(literal -2 binary64) y))) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (.f64 #s(literal -2 binary64) y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (cosh.f64 y))) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) (fma.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (exp.f64 (.f64 y #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y))) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (sinh.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
(-.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 y))) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (exp.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y)))))) (/.f64 (.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 y)))))))
(-.f64 (/.f64 (.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y))) #s(literal 4 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 y y)) (.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(-.f64 (/.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) (fma.f64 (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) (exp.f64 (+.f64 y y))) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 y y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 y #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (exp.f64 (+.f64 y y)))) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 y)) (.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 y))))
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 (exp.f64 y) #s(literal -1/2 binary64))) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))) (.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 y))) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 y)) (.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (sinh.f64 y) #s(literal 0 binary64))

eval100.0ms (1%)

Memory: 9.4MiB live, 244.3MiB allocated
Compiler: Compiled 12 948 to 2 054 computations (84.1% saved)

prune112.0ms (1.1%)

Memory

14.6MiB live, 293.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	696	6	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	697	6	703

Accuracy

100.0%

Counts

703 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	91.4%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	81.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	70.0%	(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
▶	67.6%	(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
▶	53.9%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))

Compiler

Compiled 186 to 110 computations (40.9% saved)

simplify199.0ms (2%)

Memory

-1.1MiB live, 115.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 x)
cost-diff	0	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Rules

5 104×	`lower-fma.f32`
5 090×	`lower-fma.f64`
3 230×	`lower-*.f32`
3 216×	`lower-*.f64`
1 064×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	258
0	59	258
1	105	258
2	171	258
3	330	255
4	665	255
5	974	255
6	1706	255
7	3341	255
8	4865	255
9	6221	255
10	7014	255
11	7543	255
12	7748	255
13	7784	255
14	7831	255
15	7890	255
0	8064	252

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(sin.f64 x)
x
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

Outputs
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(sin.f64 x)
x
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize140.0ms (1.4%)

Memory

-15.6MiB live, 225.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.04296875	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.1015625	(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	26.697344717389974	#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
accuracy	0	(sin.f64 x)
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	5.449764621952181	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0	(sin.f64 x)
accuracy	0.08203125	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	12.054882825929859	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	0	(sin.f64 x)
accuracy	29.47241494675364	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
accuracy	0.0234375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
accuracy	0.2364578849839032	(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	3.5372114544512554	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))

Samples

74.0ms

256×

valid

Compiler

Compiled 179 to 30 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 19.0ms (35.2% of total)

ival-add: 13.0ms (24.1% of total)

const: 11.0ms (20.4% of total)

ival-sin: 7.0ms (13% of total)

ival-div: 2.0ms (3.7% of total)

ival-sinh: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp y) (/ 1 (exp y)))) (taylor -inf y) (#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1)
0.0ms	x	@	inf	(* (+ (* -1/6 (* x x)) 1) x)
0.0ms	x	@	0	(* (+ (* -1/6 (* x x)) 1) x)
0.0ms	y	@	inf	(+ (* (* y y) 1/6) 1)
0.0ms	x	@	-inf	(* (+ (* -1/6 (* x x)) 1) x)

simplify243.0ms (2.4%)

Memory

-4.0MiB live, 266.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 734×	`lower-fma.f64`
17 734×	`lower-fma.f32`
5 610×	`lower-*.f64`
5 610×	`lower-*.f32`
2 912×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	3446
1	429	3381
2	1264	3177
3	4203	3137
4	6841	3137
0	8317	2956

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

Calls

Call 1

Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))

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

rewrite207.0ms (2.1%)

Memory

-13.6MiB live, 313.5MiB allocated

Rules

7 318×	`lower-fma.f32`
7 304×	`lower-fma.f64`
4 890×	`lower-*.f32`
4 876×	`lower-*.f64`
4 188×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	219
0	59	219
1	194	219
2	1249	219
0	8289	219

Stop Event

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

Counts

20 → 417

Calls

Call 1

Inputs
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(sinh.f64 y)

Outputs
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) y) y))))
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(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/1728000 binary64)) (.f64 (.f64 y y) y) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/1728000 binary64)) (.f64 (.f64 y y) y) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/1728000 binary64)) (.f64 (.f64 y y) y) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)) (.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/1728000 binary64)) (.f64 (.f64 y y) y) #s(literal 1/216 binary64)) (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)) (.f64 (.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/1728000 binary64)) (.f64 (*.f64 y y) y) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))) (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 y y)) (.f64 y y)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (.f64 (exp.f64 y) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 y) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(sinh.f64 y)
(neg.f64 (neg.f64 (sinh.f64 y)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(-.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(+.f64 (.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))

eval103.0ms (1%)

Memory: 26.0MiB live, 215.6MiB allocated
Compiler: Compiled 23 848 to 1 895 computations (92.1% saved)

prune101.0ms (1%)

Memory

-0.8MiB live, 193.4MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	840	10	850
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	843	13	856

Accuracy

100.0%

Counts

856 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
✓	81.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	65.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	63.5%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	57.8%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	65.9%	(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	59.5%	(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	65.7%	(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
	61.6%	(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
▶	70.3%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
✓	53.9%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
▶	41.9%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
	44.3%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))

Compiler

Compiled 478 to 257 computations (46.2% saved)

simplify196.0ms (2%)

Memory

-21.0MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
cost-diff	0	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
cost-diff	0	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
cost-diff	0	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
cost-diff	0	#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))

Rules

4 826×	`lower-fma.f32`
4 814×	`lower-fma.f64`
3 234×	`lower-*.f32`
3 216×	`lower-*.f64`
1 314×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	406
0	61	406
1	109	382
2	172	379
3	301	379
4	583	379
5	841	379
6	1548	379
7	3101	379
8	4524	379
9	5889	379
10	6686	379
11	7218	379
12	7421	379
13	7440	379
14	7488	379
15	7547	379
16	7611	379
17	7894	379
0	8005	372

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)

Outputs
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)

localize206.0ms (2.1%)

Memory

-7.8MiB live, 201.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.05078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	5.449764621952179	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	26.628844900319002	#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	0.0546875	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy	0.07421875	(.f64 (.f64 x x) x)
accuracy	5.449764621952179	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	26.697344717389967	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	0.07421875	(.f64 (.f64 x x) x)
accuracy	0.08203125	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	12.054882825929859	#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	26.697344717389967	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	0.0546875	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy	0.07421875	(.f64 (.f64 x x) x)
accuracy	26.697344717389967	#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy	29.47241494675364	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.04296875	(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
accuracy	26.697344717389974	#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
accuracy	27.104438733046006	#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))

Samples

144.0ms

256×

valid

Compiler

Compiled 248 to 31 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 62.0ms (50.6% of total)

ival-add: 42.0ms (34.3% of total)

const: 9.0ms (7.4% of total)

ival-sin: 6.0ms (4.9% of total)

ival-div: 2.0ms (1.6% of total)

ival-sinh: 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)

series16.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) (patch #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor 0 y) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) (taylor 0 y) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) (taylor 0 y) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

75 calls:

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

simplify251.0ms (2.5%)

Memory

-18.8MiB live, 210.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 000×	`lower-fma.f64`
18 000×	`lower-fma.f32`
5 684×	`lower-*.f64`
5 684×	`lower-*.f32`
2 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	3366
1	390	3271
2	1198	3075
3	4120	3019
4	7039	3019
0	8071	2855

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 293

Calls

Call 1

Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))

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

rewrite347.0ms (3.5%)

Memory

0.7MiB live, 233.9MiB allocated

Rules

7 094×	`lower-fma.f32`
7 082×	`lower-fma.f64`
4 786×	`lower-*.f32`
4 768×	`lower-*.f64`
4 040×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	267
0	61	255
1	198	255
2	1244	255
0	8249	251

Stop Event

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

Counts

20 → 348

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) x)
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(sinh.f64 y)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))

Outputs
(.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 2 binary64) (sinh.f64 y)))) (/.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (sinh.f64 y))
(.f64 (.f64 (neg.f64 (sinh.f64 y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))
(.f64 (sinh.f64 y) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(pow.f64 (/.f64 y (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (sinh.f64 y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))) y)
(/.f64 (neg.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 (.f64 (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (.f64 (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (neg.f64 (sinh.f64 y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))))
(/.f64 (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(/.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(neg.f64 (/.f64 (.f64 (neg.f64 (sinh.f64 y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y))
(neg.f64 (/.f64 (.f64 (sinh.f64 y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (neg.f64 y)))
(neg.f64 (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (neg.f64 (sinh.f64 y)) y)))
(neg.f64 (.f64 (/.f64 (neg.f64 (sinh.f64 y)) y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))
(.f64 (fma.f64 x x (.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x))))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))))) (neg.f64 (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/1296 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/216 binary64))) (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/216 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x)))

eval293.0ms (2.9%)

Memory: -6.3MiB live, 198.7MiB allocated
Compiler: Compiled 28 883 to 1 619 computations (94.4% saved)

prune202.0ms (2%)

Memory

-1.0MiB live, 159.0MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	884	11	895
Fresh	3	2	5
Picked	4	1	5
Done	0	3	3
Total	891	17	908

Accuracy

100.0%

Counts

908 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
✓	81.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	65.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	63.5%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	36.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
	27.3%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
▶	19.8%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	65.0%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	70.3%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
▶	67.7%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
	66.2%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
▶	62.4%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
✓	53.9%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
	41.9%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
	41.9%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
▶	44.3%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
▶	11.2%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))

Compiler

Compiled 638 to 324 computations (49.2% saved)

simplify313.0ms (3.1%)

Memory

42.7MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)
cost-diff	0	#s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
cost-diff	0	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))
cost-diff	0	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
cost-diff	0	#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))

Rules

10 850×	`lower-fma.f32`
10 834×	`lower-fma.f64`
3 572×	`lower-*.f32`
3 544×	`lower-*.f64`
2 120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	620
0	90	620
1	159	590
2	265	575
3	482	567
4	1129	567
5	1857	567
6	2997	567
7	4533	567
8	6003	567
9	7912	567
0	8031	545

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y)
(/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)
(/.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) y)
#s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize321.0ms (3.2%)

Memory

-38.4MiB live, 135.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (.f64 x x) x)
accuracy	5.449764621952181	#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	26.628844900319002	#s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
accuracy	35.440134489950154	#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
accuracy	0.08203125	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	7.800874023567981	#s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
accuracy	26.697344717389974	#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
accuracy	27.104438733046067	#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.046875	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	26.628844900319002	#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	29.47241494675364	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
accuracy	0.1328125	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy	26.697344717389974	#s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))
accuracy	29.47241494675364	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
accuracy	34.84988824439938	#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
accuracy	0.2364578849839032	(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	2.6117606621117915	#s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))
accuracy	26.697344717389974	#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
accuracy	27.104438733046067	#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))

Samples

170.0ms

256×

valid

Compiler

Compiled 335 to 42 computations (87.5% saved)

Precisions

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

ival-add: 99.0ms (67.3% of total)

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

const: 11.0ms (7.5% of total)

ival-sin: 7.0ms (4.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

24 → 348

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64))))) (patch #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)))) (patch #s(approx (sin x) #s(approx (+ ( (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (+ ( (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) (patch #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) (patch #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x) (patch (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) (patch #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())

Outputs
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#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (* (* x x) x) -1/6)
0.0ms	x	@	-inf	(* (* (* x x) x) -1/6)
0.0ms	x	@	0	(* (* (* x x) x) -1/6)
0.0ms	x	@	0	(* (sin x) (/ (sinh y) y))
0.0ms	y	@	0	(sinh y)

simplify210.0ms (2.1%)

Memory

17.2MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 764×	`lower-fma.f64`
17 764×	`lower-fma.f32`
5 680×	`lower-*.f64`
5 680×	`lower-*.f32`
2 638×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	3752
1	391	3645
2	1197	3443
3	4120	3371
4	7031	3371
0	8060	3187

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 338

Calls

Call 1

Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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

rewrite341.0ms (3.4%)

Memory

-3.2MiB live, 190.5MiB allocated

Rules

5 598×	`lower-fma.f32`
5 582×	`lower-fma.f64`
5 472×	`lower-*.f32`
5 444×	`lower-*.f64`
4 446×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	420
0	90	396
1	292	388
2	1832	388
0	8527	380

Stop Event

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

Counts

24 → 239

Calls

Call 1

Inputs
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))
(.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64)))
#s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(.f64 (.f64 x x) x)

Outputs
(.f64 (/.f64 (neg.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)))))
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
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(/.f64 (neg.f64 (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 (/.f64 y #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)))))
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#s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)
(.f64 x #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) (.f64 #s(literal 1 binary64) x)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/216 binary64)) (.f64 (.f64 y y) y) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/216 binary64)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/216 binary64)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/216 binary64)) (.f64 (.f64 y y) y) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval126.0ms (1.3%)

Memory: 10.1MiB live, 157.8MiB allocated
Compiler: Compiled 16 394 to 1 123 computations (93.1% saved)

prune124.0ms (1.2%)

Memory

-24.5MiB live, 237.0MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	620	15	635
Fresh	2	6	8
Picked	3	2	5
Done	0	4	4
Total	625	27	652

Accuracy

100.0%

Counts

652 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
	49.3%	(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
	53.2%	(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
✓	91.4%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
✓	81.0%	(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	49.3%	(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
	65.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	63.5%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	36.0%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
	27.3%	(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
✓	19.8%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	65.0%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	70.3%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
	67.7%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
	45.8%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
	67.7%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
	66.2%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
	31.9%	(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
✓	53.9%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
	41.9%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
	13.9%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
	34.2%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
✓	11.2%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
	11.2%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
	11.2%	#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))

Compiler

Compiled 1 427 to 427 computations (70.1% saved)

regimes69.0ms (0.7%)

Memory

10.0MiB live, 155.9MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

14.0ms	(/.f64 (sinh.f64 y) y)
14.0ms	x
14.0ms	y
13.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms	(sin.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
100.0%	1	`(sin.f64 x)`
100.0%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes80.0ms (0.8%)

Memory

3.7MiB live, 195.5MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

23.0ms	x
17.0ms	(/.f64 (sinh.f64 y) y)
14.0ms	y
13.0ms	(sin.f64 x)
11.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
97.0%	2	`x`
98.8%	3	`y`
100.0%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
94.4%	1	`(sin.f64 x)`
94.4%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes13.0ms (0.1%)

Memory

-1.1MiB live, 38.0MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))

Calls

1 calls:

11.0ms

(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
100.0%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes63.0ms (0.6%)

Memory

-22.2MiB live, 157.2MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))

Calls

5 calls:

18.0ms	(/.f64 (sinh.f64 y) y)
11.0ms	x
11.0ms	y
10.0ms	(sin.f64 x)
10.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
89.2%	3	`(sin.f64 x)`
87.6%	2	`(/.f64 (sinh.f64 y) y)`
89.2%	2	`x`
93.1%	3	`y`
97.4%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes11.0ms (0.1%)

Memory

36.4MiB live, 36.4MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 y y)) (.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))

Calls

1 calls:

9.0ms

(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
97.0%	3	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes189.0ms (1.9%)

Memory

-37.6MiB live, 120.3MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))

Outputs

(*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Calls

5 calls:

97.0ms	y
60.0ms	(sin.f64 x)
10.0ms	x
9.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
67.7%	1	`(/.f64 (sinh.f64 y) y)`
78.2%	2	`(sin.f64 x)`
71.2%	2	`x`
67.7%	1	`y`
77.7%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes21.0ms (0.2%)

Memory

20.2MiB live, 58.4MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 (/.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)))))
(/.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) y)
(.f64 (.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) y))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))

Calls

2 calls:

10.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms	(sin.f64 x)

Results

Accuracy	Segments	Branch
77.7%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
77.7%	2	`(sin.f64 x)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes18.0ms (0.2%)

Memory

6.0MiB live, 44.0MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Calls

2 calls:

8.0ms	(sin.f64 x)
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
77.4%	2	`(sin.f64 x)`
76.2%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes20.0ms (0.2%)

Memory

-1.1MiB live, 38.5MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y))

Calls

2 calls:

12.0ms	(sin.f64 x)
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
76.2%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
76.2%	2	`(sin.f64 x)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes14.0ms (0.1%)

Memory

-1.7MiB live, 35.5MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

Calls

2 calls:

7.0ms	(sin.f64 x)
5.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
75.2%	2	`(sin.f64 x)`
75.1%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes11.0ms (0.1%)

Memory

1.6MiB live, 40.8MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y)) y))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y))
(.f64 #s(approx (sinh y) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Calls

2 calls:

5.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms	(sin.f64 x)

Results

Accuracy	Segments	Branch
75.1%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
75.1%	2	`(sin.f64 x)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes9.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))
(.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

(*.f64 #s(approx (sin x) (*.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Calls

2 calls:

4.0ms	(sin.f64 x)
4.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
75.0%	2	`(sin.f64 x)`
75.0%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes19.0ms (0.2%)

Memory

-3.2MiB live, 36.4MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ ( (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))

Outputs

#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))

(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))

Calls

5 calls:

4.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	x
4.0ms	y
4.0ms	(sin.f64 x)
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
58.0%	2	`(/.f64 (sinh.f64 y) y)`
58.5%	2	`y`
47.8%	2	`x`
54.2%	2	`(sin.f64 x)`
56.6%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes117.0ms (1.2%)

Memory

-20.7MiB live, 23.1MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))

Outputs

#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))

#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))

Calls

4 calls:

107.0ms	y
3.0ms	(sin.f64 x)
3.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
53.2%	2	`(sin.f64 x)`
53.2%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
44.3%	1	`(/.f64 (sinh.f64 y) y)`
44.3%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)))

Outputs

#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)))

#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/120 binary64))) x)))

Calls

2 calls:

3.0ms	(sin.f64 x)
3.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Results

Accuracy	Segments	Branch
53.2%	2	`(sin.f64 x)`
53.1%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes20.0ms (0.2%)

Memory

-4.5MiB live, 34.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))

Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))

Calls

5 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(sin.f64 x)
3.0ms	y
3.0ms	x
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
41.9%	1	`(/.f64 (sinh.f64 y) y)`
41.9%	1	`y`
41.9%	1	`x`
41.9%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
41.9%	1	`(sin.f64 x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes13.0ms (0.1%)

Memory

-10.0MiB live, 28.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))))

Outputs

#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))))

#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (*.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))

Calls

5 calls:

4.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	y
2.0ms	(sin.f64 x)
2.0ms	x
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
42.2%	2	`x`
43.1%	2	`(sin.f64 x)`
43.1%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
42.1%	2	`y`
42.0%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))

Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))

Calls

5 calls:

1.0ms	(sin.f64 x)
1.0ms	y
1.0ms	x
1.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
34.2%	1	`(/.f64 (sinh.f64 y) y)`
34.2%	1	`y`
34.2%	1	`x`
34.2%	1	`(sin.f64 x)`
34.2%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9921459783995112	+inf
0.0ms	-inf	-0.9994918665164143

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9921459783995112	+inf
0.0ms	-inf	-0.9994918665164143

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9921459783995112	+inf
0.0ms	-inf	-0.9994918665164143

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9921459783995112	+inf
0.0ms	-inf	-0.9994918665164143

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.099435271040195e-8	1.9863444341384213e-5

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.099435271040195e-8	0.09725681486136117

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.099435271040195e-8	1.9863444341384213e-5

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.099435271040195e-8	0.09725681486136117

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.825946287135866e-11	4.2883228724972483e-11

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.099435271040195e-8	0.09725681486136117

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.22544452443280222	-0.09188344052625945

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch113.0ms (1.1%)

Memory

-22.2MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
112.0ms	6977771074.55948	13043969915.254568

Samples

109.0ms

64×

valid

Compiler

Compiled 164 to 95 computations (42.1% saved)

Precisions

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

ival-sin: 2.0ms (59.4% of total)

ival-sinh: 1.0ms (29.7% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.09116797641500825	4.2655605006081325e-307

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9863444341384213e-5	0.07652511277724103

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.09116797641500825	4.2655605006081325e-307

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify11.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1205
1	170	1205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx ( (sin x) (/ (sinh y) y)) (sin.f64 x)) (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y))))
(if (<=.f64 (sin.f64 x) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y)) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* y y)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y)))
(if (<=.f64 (sin.f64 x) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)))
(if (<=.f64 (sin.f64 x) #s(literal 6189700196426901/154742504910672534362390528 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/18014398509481984 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 11500000000 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x))))) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(if (<=.f64 (sin.f64 x) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x))))) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 y) y))))
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(if (<=.f64 (sin.f64 x) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) #s(literal 1 binary64)) x)) (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) y)))
(if (<=.f64 (.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))) (.f64 (/.f64 #s(approx (sinh y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) y) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64)) x))))
(if (<=.f64 (sin.f64 x) #s(literal 6189700196426901/154742504910672534362390528 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
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(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 944473296573929/9444732965739290427392 binary64)) (.f64 #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
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(if (<=.f64 y #s(literal 11500000000 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) (.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x))))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x))))) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(if (<=.f64 (.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x))))) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(if (<=.f64 (sin.f64 x) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/120 binary64))) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)))
(if (<=.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x))))) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x))))
(if (<=.f64 (.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* (* (* x x) x) -1/6) x) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x))))) #s(approx ( (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (.f64 #s(approx (+ ( (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64)) x)))

soundness2.4s (23.8%)

Memory

-24.2MiB live, 1 507.4MiB allocated

Rules

18 000×	`lower-fma.f64`
18 000×	`lower-fma.f32`
17 764×	`lower-fma.f64`
17 764×	`lower-fma.f32`
17 734×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	267
0	61	255
1	198	255
2	1244	255
0	8249	251
0	92	700
1	288	693
2	897	643
3	3139	635
4	7365	635
0	8523	605
0	131	3752
1	391	3645
2	1197	3443
3	4120	3371
4	7031	3371
0	8060	3187
0	131	3366
1	390	3271
2	1198	3075
3	4120	3019
4	7039	3019
0	8071	2855
0	136	3446
1	429	3381
2	1264	3177
3	4203	3137
4	6841	3137
0	8317	2956
0	57	420
0	90	396
1	292	388
2	1832	388
0	8527	380

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

Compiler

Compiled 1 866 to 766 computations (58.9% saved)

preprocess183.0ms (1.8%)

Memory: -5.4MiB live, 466.5MiB allocated
Remove: (abs y)
Compiler: Compiled 2 332 to 506 computations (78.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze15.0ms (0.2%)

sample961.0ms (9.6%)

explain107.0ms (1.1%)

preprocess431.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify373.0ms (3.7%)

localize80.0ms (0.8%)

series12.0ms (0.1%)

simplify285.0ms (2.9%)

rewrite156.0ms (1.6%)

eval100.0ms (1%)

prune112.0ms (1.1%)

simplify199.0ms (2%)

localize140.0ms (1.4%)

series16.0ms (0.2%)

simplify243.0ms (2.4%)

rewrite207.0ms (2.1%)

eval103.0ms (1%)

prune101.0ms (1%)

simplify196.0ms (2%)

localize206.0ms (2.1%)

series16.0ms (0.2%)

simplify251.0ms (2.5%)

rewrite347.0ms (3.5%)

eval293.0ms (2.9%)

prune202.0ms (2%)

simplify313.0ms (3.1%)

localize321.0ms (3.2%)

series18.0ms (0.2%)

simplify210.0ms (2.1%)

rewrite341.0ms (3.4%)

eval126.0ms (1.3%)

prune124.0ms (1.2%)

regimes69.0ms (0.7%)

regimes80.0ms (0.8%)

regimes13.0ms (0.1%)

regimes63.0ms (0.6%)

regimes11.0ms (0.1%)

regimes189.0ms (1.9%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes20.0ms (0.2%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes19.0ms (0.2%)

regimes117.0ms (1.2%)

regimes7.0ms (0.1%)

regimes20.0ms (0.2%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch113.0ms (1.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness2.4s (23.8%)

preprocess183.0ms (1.8%)

end0.0ms (0%)

Profiling