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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze125.0ms (1.3%)

Memory

-34.7MiB live, 4.5MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.3s (13.5%)

Memory

31.7MiB live, 1 265.1MiB allocated

Samples

883.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 656.0ms

ival-sin: 483.0ms (73.7% of total)

ival-div: 60.0ms (9.2% of total)

ival-mult: 55.0ms (8.4% of total)

ival-sinh: 47.0ms (7.2% of total)

ival-true: 7.0ms (1.1% of total)

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

Bogosity

explain86.0ms (0.9%)

Memory

-28.7MiB live, 141.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	3	(3.8079018650866135e-43 -2.36243852201694e-275)	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
0	-	0	-	`(sinh.f64 y)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 (sin.f64 x) (sinh.f64 y))`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`	u/n	22	0
↳	`(*.f64 (sin.f64 x) (sinh.f64 y))`	underflow	22
`/.f64`	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`	o/n	1	0
↳	`(*.f64 (sin.f64 x) (sinh.f64 y))`	overflow	119
↳	`(sinh.f64 y)`	overflow	119

Confusion

	Predicted +	Predicted -
+	23	3
-	0	230

Precision

1.0

Recall

0.8846153846153846

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	3
-	0	0	230

Precision?

1.0

Recall?

0.8846153846153846

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-sin: 13.0ms (55.4% of total)

ival-div: 4.0ms (17.1% of total)

ival-mult: 3.0ms (12.8% of total)

ival-sinh: 3.0ms (12.8% of total)

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

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

preprocess295.0ms (3.1%)

Memory

8.5MiB live, 166.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 532×	`lower-fma.f64`
2 532×	`lower-fma.f32`
1 668×	`lower-*.f32`
1 666×	`lower-*.f64`
944×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	60	41
2	192	37
3	708	37
4	2231	37
5	5292	37
6	7334	37
0	6	7
0	10	7
1	19	7
2	39	7
3	78	7
4	163	7
5	343	7
6	867	7
7	1769	7
8	3025	7
9	4048	7
10	4540	7
11	4617	7
12	4617	7
13	4617	7
14	5037	7
15	5221	7
16	5221	7
17	5221	7
18	5221	7
19	5259	7
20	5345	7
21	5345	7
22	5345	7
0	5345	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

(negabs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify241.0ms (2.5%)

Memory

1.8MiB live, 75.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 532×	`lower-fma.f64`
2 532×	`lower-fma.f32`
1 668×	`lower-*.f32`
1 666×	`lower-*.f64`
944×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	19	18
2	39	18
3	78	18
4	163	18
5	343	18
6	867	18
7	1769	18
8	3025	18
9	4048	18
10	4540	18
11	4617	18
12	4617	18
13	4617	18
14	5037	18
15	5221	18
16	5221	18
17	5221	18
18	5221	18
19	5259	18
20	5345	18
21	5345	18
22	5345	18
0	5345	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.6%)

Memory

-11.9MiB live, 70.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.09375	(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy	5.761085353676043	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Samples

44.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 7.0ms (58% of total)

ival-div: 2.0ms (16.6% of total)

ival-mult: 2.0ms (16.6% of total)

ival-sinh: 1.0ms (8.3% of total)

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

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

series12.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

6 calls:

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

simplify266.0ms (2.8%)

Memory

-10.1MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 192×	`lower-fma.f64`
15 192×	`lower-fma.f32`
6 376×	`lower-+.f64`
6 376×	`lower-+.f32`
3 958×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	944
1	373	889
2	1224	849
3	3021	828
0	8122	792

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite196.0ms (2.1%)

Memory

-8.7MiB live, 121.4MiB allocated

Rules

4 860×	`lower-*.f32`
4 858×	`lower-*.f64`
4 172×	`lower-/.f32`
4 170×	`lower-/.f64`
1 474×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	27	16
2	117	16
3	840	16
0	8257	16

Stop Event

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

Counts

4 → 495

Calls

Call 1

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

Outputs
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eval85.0ms (0.9%)

Memory: 33.3MiB live, 106.6MiB allocated
Compiler: Compiled 9 286 to 1 554 computations (83.3% saved)

prune34.0ms (0.4%)

Memory

-10.1MiB live, 37.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	557	8	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	558	8	566

Accuracy

99.6%

Counts

566 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 x x))
▶	99.6%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	82.2%	(/.f64 #s(approx (* (sin x) (sinh y)) (.f64 (.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))) y)) x)
	46.4%	(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
	99.5%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	55.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
▶	58.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
▶	90.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))

Compiler

Compiled 178 to 140 computations (21.3% saved)

simplify233.0ms (2.5%)

Memory

-22.1MiB live, 138.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))
cost-diff	320	(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))))
cost-diff	640	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 x x))
cost-diff	0	(exp.f64 y)
cost-diff	0	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
cost-diff	0	(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (sin.f64 x) x)
cost-diff	0	(.f64 (/.f64 (sin.f64 x) 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)))
cost-diff	0	(.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 (sin.f64 x) x)
cost-diff	0	(*.f64 (/.f64 (sin.f64 x) x) y)
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
cost-diff	0	(sinh.f64 y)
cost-diff	0	(/.f64 x (sinh.f64 y))
cost-diff	0	(sin.f64 x)
cost-diff	384	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Rules

5 152×	`lower-fma.f32`
5 148×	`lower-fma.f64`
3 542×	`lower-*.f32`
3 526×	`lower-*.f64`
1 844×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	224
0	59	216
1	115	214
2	282	214
3	1219	214
4	4773	214
0	8114	214

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(sin.f64 x)
x
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
y
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
(.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)
(.f64 (/.f64 (sin.f64 x) 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)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
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))
(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)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))))
#s(literal 0 binary64)
(.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))
(neg.f64 x)
x
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)
(*.f64 x x)

Outputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(sin.f64 x)
x
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
y
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) (sin.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)
(.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) x) y) (sin.f64 x))
(.f64 (/.f64 (sin.f64 x) 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)))
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
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))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #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 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) x) (sinh.f64 y))
#s(literal 0 binary64)
(.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))
(.f64 (.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))
(neg.f64 x)
x
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)
(*.f64 x x)

localize520.0ms (5.5%)

Memory

10.7MiB live, 243.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.09375	(*.f64 (sinh.f64 y) (sin.f64 x))
accuracy	0.09765625	(.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))
accuracy	13.119768932553283	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 x x))
accuracy	0	(exp.f64 (neg.f64 y))
accuracy	0	(exp.f64 y)
accuracy	19.748080114337	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy	31.235509726825	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy	0.01953125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	0.04296875	(.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)
accuracy	0.0859375	(/.f64 (sin.f64 x) x)
accuracy	1.0864967993903425	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
accuracy	0	(sin.f64 x)
accuracy	0.03515625	(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy	0.0859375	(/.f64 (sin.f64 x) x)
accuracy	1.2162432097432039	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.03125	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
accuracy	0.23775379771778155	(/.f64 x (sinh.f64 y))

Samples

244.0ms	115×	5	exit
118.0ms	53×	2	valid
83.0ms	78×	1	valid
3.0ms	10×	0	valid

Compiler

Compiled 198 to 35 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-mult: 134.0ms (43.1% of total)

ival-sin: 64.0ms (20.6% of total)

adjust: 31.0ms (10% of total)

ival-exp: 26.0ms (8.4% of total)

ival-div: 24.0ms (7.7% of total)

const: 10.0ms (3.2% of total)

ival-sub: 8.0ms (2.6% of total)

ival-sinh: 6.0ms (1.9% of total)

ival-add: 5.0ms (1.6% of total)

ival-neg: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.9%)

Memory

1.8MiB live, 37.8MiB allocated

Counts

21 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) (patch (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 y)) #<representation binary64>) () ())
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 x) x) y) (patch (.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (patch (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #<representation binary64>) () ())
#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (patch (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) (patch (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<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 (exp.f64 (neg.f64 y)) (patch (exp.f64 (neg.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 (sinh.f64 y) (sin.f64 x)) (patch (.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) (patch (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) (patch (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) (patch (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) (patch (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/6 (* x (pow y 2)))) y) (taylor 0 y) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y) (taylor 0 y) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y) (taylor 0 y) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 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 (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 (sin.f64 x) x) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (.f64 (/.f64 (sin.f64 x) x) y) (patch (.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (.f64 (/.f64 (sin.f64 x) x) y) (patch (.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (.f64 (/.f64 (sin.f64 x) x) y) (patch (.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (.f64 (/.f64 (sin.f64 x) x) y) (patch (.f64 (/.f64 (sin.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) (taylor 0 y) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor 0 y) (#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) (taylor 0 y) (#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) (taylor 0 y) (#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) (patch (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 (sin.f64 x) 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))) (patch (.f64 (/.f64 (sin.f64 x) 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))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (/ ( (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (patch (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (patch (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (patch (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (patch (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) (patch (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) (patch (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) (patch (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y)))))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) (patch (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (.f64 (sinh.f64 y) (sin.f64 x)) (patch (.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (.f64 (sinh.f64 y) (sin.f64 x)) (patch (.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (.f64 (sinh.f64 y) (sin.f64 x)) (patch (.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (.f64 (sinh.f64 y) (sin.f64 x)) (patch (.f64 (sinh.f64 y) (sin.f64 x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (- 0 (* (neg x) (* (sinh y) (sin x)))) (* x x)) (- 0 (* (neg x) (* (sinh y) (sin x)))) (* (neg x) (* (sinh y) (sin x))) (neg x) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (* (sinh y) (sin x)))
7.0ms	y	@	-inf	((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (- 0 (* (neg x) (* (sinh y) (sin x)))) (* x x)) (- 0 (* (neg x) (* (sinh y) (sin x)))) (* (neg x) (* (sinh y) (sin x))) (neg x) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (* (sinh y) (sin x)))
5.0ms	x	@	inf	((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (- 0 (* (neg x) (* (sinh y) (sin x)))) (* x x)) (- 0 (* (neg x) (* (sinh y) (sin x)))) (* (neg x) (* (sinh y) (sin x))) (neg x) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (* (sinh y) (sin x)))
4.0ms	y	@	inf	((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (- 0 (* (neg x) (* (sinh y) (sin x)))) (* x x)) (- 0 (* (neg x) (* (sinh y) (sin x)))) (* (neg x) (* (sinh y) (sin x))) (neg x) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (* (sinh y) (sin x)))
4.0ms	x	@	0	((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (- 0 (* (neg x) (* (sinh y) (sin x)))) (* x x)) (- 0 (* (neg x) (* (sinh y) (sin x)))) (* (neg x) (* (sinh y) (sin x))) (neg x) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)) (* (sinh y) (sin x)))

simplify283.0ms (3%)

Memory

22.6MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 474×	`lower-fma.f64`
19 474×	`lower-fma.f32`
5 996×	`lower-*.f64`
5 996×	`lower-*.f32`
5 372×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	357	5522
1	1203	5224
2	4345	4906
0	8066	4668

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

Calls

Call 1

Inputs
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) 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))))))))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(/ (sin x) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
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(sin x)
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))

Outputs
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 x (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) y)) y x) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x #s(literal 31/15120 binary64)) y) (neg.f64 y) (.f64 #s(literal 7/360 binary64) x)) (.f64 y y) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 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)) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(fma.f64 (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(fma.f64 (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 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)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 1/3 (pow y 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (.f64 y y) #s(literal 2 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(* x (* y (sin x)))
(.f64 (.f64 (sin.f64 x) y) x)
(* y (- (* 1/6 (* x (* (pow y 2) (sin x)))) (* -1 (* x (sin x)))))
(.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) x)) y)
(* y (- (* (pow y 2) (- (* 1/120 (* x (* (pow y 2) (sin x)))) (* -1/6 (* x (sin x))))) (* -1 (* x (sin x)))))
(.f64 (fma.f64 (.f64 x (.f64 (sin.f64 x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)))) (.f64 y y) (.f64 (sin.f64 x) x)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* x (* (pow y 2) (sin x)))) (* -1/120 (* x (sin x))))) (* -1/6 (* x (sin x))))) (* -1 (* x (sin x)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) x (.f64 (.f64 x (.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)))) (.f64 y y))) (.f64 y y) (*.f64 (sin.f64 x) x)) y)
(* -1 (* x (* y (sin x))))
(.f64 (.f64 (neg.f64 x) y) (sin.f64 x))
(* y (+ (* -1 (* x (sin x))) (* -1/6 (* x (* (pow y 2) (sin x))))))
(.f64 (.f64 (.f64 (sin.f64 x) x) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) y)
(* y (+ (* -1 (* x (sin x))) (* (pow y 2) (+ (* -1/6 (* x (sin x))) (* -1/120 (* x (* (pow y 2) (sin x))))))))
(.f64 (fma.f64 (neg.f64 x) (sin.f64 x) (.f64 (.f64 (.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y))) y)
(* y (+ (* -1 (* x (sin x))) (* (pow y 2) (+ (* -1/6 (* x (sin x))) (* (pow y 2) (+ (* -1/120 (* x (sin x))) (* -1/5040 (* x (* (pow y 2) (sin x))))))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sin.f64 x) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/120 binary64) x))) (.f64 (.f64 (sin.f64 x) x) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) 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
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(* y (sin x))
(*.f64 (sin.f64 x) y)
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 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 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(.f64 (/.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)) x) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1/2 (* x (* (sin x) (- (exp y) (/ 1 (exp y))))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

rewrite670.0ms (7.1%)

Memory

-10.1MiB live, 353.4MiB allocated

Rules

4 370×	`lower-*.f32`
4 354×	`lower-*.f64`
3 986×	`lower-/.f32`
3 978×	`lower-/.f64`
3 756×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	179
0	59	161
1	201	155
2	1384	155
0	8482	155

Stop Event

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

Counts

21 → 1 413

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(sin.f64 x)
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
(.f64 (.f64 (/.f64 (sin.f64 x) 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))) y)
(.f64 (/.f64 (sin.f64 x) 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)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x))))
(.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))
(neg.f64 x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(exp.f64 (neg.f64 y))
(*.f64 (sinh.f64 y) (sin.f64 x))

Outputs
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eval332.0ms (3.5%)

Memory: 17.9MiB live, 476.6MiB allocated
Compiler: Compiled 43 935 to 5 169 computations (88.2% saved)

prune57.0ms (0.6%)

Memory

-22.9MiB live, 177.5MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 971	15	1 986
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	1 976	18	1 994

Accuracy

99.7%

Counts

1 994 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
	41.2%	(/.f64 #s(approx (- 0 (* (neg x) (* (sinh y) (sin x)))) (.f64 (.f64 (sin.f64 x) y) x)) (*.f64 x x))
▶	46.4%	(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
✓	55.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
▶	64.5%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
✓	58.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
	57.3%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	21.8%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
▶	55.5%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
	50.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
	32.8%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
▶	37.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
	30.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
▶	25.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
	55.6%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
	50.0%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
	54.1%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
	60.2%	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))

Compiler

Compiled 416 to 327 computations (21.4% saved)

simplify152.0ms (1.6%)

Memory

14.2MiB live, 192.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 300×	`lower-fma.f32`
5 292×	`lower-fma.f64`
2 998×	`lower-*.f32`
2 982×	`lower-*.f64`
1 594×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	332
0	53	332
1	96	332
2	172	332
3	428	330
4	1119	330
5	2072	330
6	2520	330
7	3351	330
8	4705	330
9	5923	330
10	6896	330
11	7978	330
0	8120	328

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 y x)
y
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) 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))) y))
(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
(.f64 #s(approx (/ (sin x) 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))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) 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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #s(approx (/ (sin x) 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 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y)
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #s(approx (/ (sin x) 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) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #s(approx (/ (sin x) 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))))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) 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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#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 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #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 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) y)
(sin.f64 x)
x
y

localize152.0ms (1.6%)

Memory

1.9MiB live, 160.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.16796875	(*.f64 (sin.f64 x) y)
accuracy	5.761085353676043	(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
accuracy	28.654918213816472	#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
accuracy	0.1015625	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	1.8963555168447936	(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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)))
accuracy	6.817597244135711	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
accuracy	35.38992294653264	#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.0859375	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.109375	(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
accuracy	28.764289157379707	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
accuracy	35.38992294653264	#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.109375	(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy	28.764289157379707	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy	35.01780681995666	#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy	0	(/.f64 y x)
accuracy	0	(sin.f64 x)
accuracy	6.27280858562554	(*.f64 (/.f64 y x) (sin.f64 x))
accuracy	28.764289157379707	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))

Samples

130.0ms

256×

valid

Compiler

Compiled 207 to 29 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 82.0ms (73.3% of total)

const: 10.0ms (8.9% of total)

ival-sin: 7.0ms (6.3% of total)

ival-div: 5.0ms (4.5% of total)

ival-add: 5.0ms (4.5% of total)

ival-sinh: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory

-23.6MiB live, 53.8MiB allocated

Counts

18 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
3.0ms	x	@	-inf	((/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
3.0ms	x	@	inf	((/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
3.0ms	y	@	-inf	((/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))
2.0ms	y	@	0	((/ (* (sin x) (sinh y)) x) (* (/ y x) (sin x)) (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* (* x x) 1/120) -1/6) (+ (* 1/120 (* y y)) 1/6))

simplify195.0ms (2.1%)

Memory

33.8MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 594×	`lower-fma.f64`
10 594×	`lower-fma.f32`
4 840×	`lower-*.f64`
4 840×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	4237
1	574	4041
2	2036	3821
3	5507	3682
4	7412	3682
0	8196	3498

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 356

Calls

Call 1

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

rewrite239.0ms (2.5%)

Memory

-30.8MiB live, 288.8MiB allocated

Rules

9 184×	`lower-fma.f32`
9 176×	`lower-fma.f64`
6 116×	`lower-*.f32`
6 100×	`lower-*.f64`
3 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	230
0	53	230
1	169	230
2	957	229
0	8319	228

Stop Event

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

Counts

18 → 352

Calls

Call 1

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

Outputs
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eval114.0ms (1.2%)

Memory: 7.5MiB live, 274.4MiB allocated
Compiler: Compiled 21 834 to 2 379 computations (89.1% saved)

prune40.0ms (0.4%)

Memory

-0.2MiB live, 120.5MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	894	6	900
Fresh	2	9	11
Picked	2	3	5
Done	0	2	2
Total	898	20	918

Accuracy

99.7%

Counts

918 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
✓	46.4%	(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
▶	29.3%	(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
	23.4%	(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
✓	55.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
✓	64.5%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
✓	58.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
	57.3%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	21.8%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
▶	64.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x)))
	50.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
	37.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
▶	30.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
▶	36.8%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
✓	25.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
	55.6%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
	50.0%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
	54.1%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
	60.2%	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
▶	32.8%	#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))

Compiler

Compiled 423 to 339 computations (19.9% saved)

simplify253.0ms (2.7%)

Memory

-4.3MiB live, 280.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
cost-diff	0	#s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x)))
cost-diff	0	(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
cost-diff	0	(.f64 y (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)))
cost-diff	0	(fma.f64 (.f64 y (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) y)
cost-diff	0	#s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y))
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x))
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x)))
cost-diff	448	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))

Rules

12 282×	`lower-fma.f32`
12 268×	`lower-fma.f64`
4 438×	`lower-*.f32`
4 420×	`lower-*.f64`
2 318×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	460
0	74	460
1	146	457
2	300	451
3	828	451
4	2161	451
5	4572	451
0	8248	451

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.3%)

Memory

25.2MiB live, 223.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.919388143910515	(.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	5.761085353676043	(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
accuracy	28.654918213816472	#s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x)))
accuracy	35.098680412141114	#s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
accuracy	0.0546875	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy	2.0724301240645757	(.f64 y (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)))
accuracy	28.764289157379707	#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
accuracy	35.33734967014358	#s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y))
accuracy	0.140625	(.f64 (.f64 x x) #s(literal 1/120 binary64))
accuracy	27.50227927213579	#s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
accuracy	28.764289157379707	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
accuracy	35.38992294653264	#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0859375	(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	0.109375	(.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
accuracy	28.764289157379707	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
accuracy	35.36151919753126	#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	0	(neg.f64 y)
accuracy	0.15234375	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
accuracy	6.27280858562554	(.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x))
accuracy	28.764289157379707	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x)))

Samples

95.0ms

256×

valid

Compiler

Compiled 267 to 36 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 41.0ms (54.9% of total)

const: 9.0ms (12.1% of total)

ival-div: 8.0ms (10.7% of total)

ival-add: 7.0ms (9.4% of total)

ival-sin: 7.0ms (9.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series118.0ms (1.2%)

Memory

-15.5MiB live, 104.3MiB allocated

Counts

24 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	((* (neg y) (/ -1 x)) (/ (* (sin x) (sinh y)) x) (* (* (neg y) (/ -1 x)) (sin x)) (neg y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)) x) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)))
13.0ms	y	@	0	((* (neg y) (/ -1 x)) (/ (* (sin x) (sinh y)) x) (* (* (neg y) (/ -1 x)) (sin x)) (neg y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)) x) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)))
5.0ms	y	@	-inf	((* (neg y) (/ -1 x)) (/ (* (sin x) (sinh y)) x) (* (* (neg y) (/ -1 x)) (sin x)) (neg y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)) x) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)))
4.0ms	y	@	inf	((* (neg y) (/ -1 x)) (/ (* (sin x) (sinh y)) x) (* (* (neg y) (/ -1 x)) (sin x)) (neg y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)) x) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)))
3.0ms	x	@	inf	((* (neg y) (/ -1 x)) (/ (* (sin x) (sinh y)) x) (* (* (neg y) (/ -1 x)) (sin x)) (neg y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (* x x) -1/6) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (* x x)) y) (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (* (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)) x) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (* y (+ (* (+ (* (* x x) 1/120) -1/6) (* x x)) 1)))

simplify247.0ms (2.6%)

Memory

36.6MiB live, 269.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 000×	`lower-fma.f64`
12 000×	`lower-fma.f32`
5 300×	`lower-*.f64`
5 300×	`lower-*.f32`
2 908×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	5364
1	612	5209
2	2019	5062
3	4284	4978
4	6682	4970
0	8368	4665

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

Calls

Call 1

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

rewrite201.0ms (2.1%)

Memory

-25.0MiB live, 337.2MiB allocated

Rules

4 570×	`lower-fma.f32`
4 558×	`lower-*.f32`
4 556×	`lower-fma.f64`
4 540×	`lower-*.f64`
4 388×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	394
0	74	394
1	252	391
2	1551	385
0	8346	385

Stop Event

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

Counts

24 → 419

Calls

Call 1

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

Outputs
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eval211.0ms (2.2%)

Memory: -9.6MiB live, 314.0MiB allocated
Compiler: Compiled 18 919 to 2 403 computations (87.3% saved)

prune93.0ms (1%)

Memory

21.5MiB live, 99.3MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	887	6	893
Fresh	1	9	10
Picked	2	3	5
Done	0	5	5
Total	890	23	913

Accuracy

99.7%

Counts

913 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
✓	46.4%	(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
	22.9%	(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
✓	29.3%	(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
	23.4%	(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
✓	55.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
✓	64.5%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
✓	58.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
	57.3%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	21.8%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
✓	64.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x)))
	50.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
	37.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
	36.8%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
	9.0%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
✓	25.0%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
	55.6%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
	50.0%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
	54.1%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
	60.2%	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
✓	32.8%	#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
	32.7%	#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
	30.4%	#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))

Compiler

Compiled 734 to 386 computations (47.4% saved)

regimes85.0ms (0.9%)

Memory

-12.8MiB live, 65.8MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x)))
(/.f64 #s(approx (- 0 (* (neg x) (* (sinh y) (sin x)))) (.f64 (.f64 (sin.f64 x) y) x)) (*.f64 x x))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (.f64 (.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))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 x x))

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

Calls

4 calls:

48.0ms	(sinh.f64 y)
16.0ms	x
10.0ms	y
9.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
99.6%	1	`(sinh.f64 y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes47.0ms (0.5%)

Memory

1.9MiB live, 72.8MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x)))
(/.f64 #s(approx (- 0 (* (neg x) (* (sinh y) (sin x)))) (.f64 (.f64 (sin.f64 x) y) x)) (*.f64 x x))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (.f64 (.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))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

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

Calls

4 calls:

14.0ms	x
12.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
10.0ms	y
9.0ms	(sinh.f64 y)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
99.5%	1	`(sinh.f64 y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes40.0ms (0.4%)

Memory

34.8MiB live, 72.5MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) (sin.f64 x)))
(/.f64 #s(approx (- 0 (* (neg x) (* (sinh y) (sin x)))) (.f64 (.f64 (sin.f64 x) y) x)) (*.f64 x x))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) 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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (.f64 (.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))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.3%	2	`x`
96.8%	3	`y`
99.6%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
90.4%	1	`(sinh.f64 y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes13.0ms (0.1%)

Memory

-32.4MiB live, 16.4MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.6%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))

Outputs

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

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.5%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes36.0ms (0.4%)

Memory

-8.7MiB live, 62.6MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))

Calls

4 calls:

10.0ms	(sinh.f64 y)
9.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
64.2%	2	`(sinh.f64 y)`
77.6%	2	`x`
64.2%	2	`y`
79.0%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes16.0ms (0.2%)

Memory

6.3MiB live, 45.1MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.6%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
60.2%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y))

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
65.1%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.1%)

Memory

-47.9MiB live, 17.1MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 y (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) x))) x)

Outputs

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
65.1%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ ( (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (.f64 #s(literal 1/120 binary64) (.f64 x x))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (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) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
65.0%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes25.0ms (0.3%)

Memory

-0.9MiB live, 38.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

15.0ms	(sinh.f64 y)
5.0ms	y
4.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
55.7%	2	`y`
54.1%	1	`(sinh.f64 y)`
63.4%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory

-23.1MiB live, 15.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
62.0%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`x`
61.0%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
56.9%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory

-18.4MiB live, 20.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.8%	2	`x`
30.4%	1	`(sinh.f64 y)`
32.9%	2	`y`
38.2%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes9.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
30.4%	1	`(sinh.f64 y)`
30.4%	1	`x`
30.4%	1	`y`
30.4%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes40.0ms (0.4%)

Memory

-29.0MiB live, 12.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

35.0ms	y
2.0ms	x
1.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
1.0ms	(sinh.f64 y)

Results

Accuracy	Segments	Branch
30.3%	2	`x`
31.9%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
30.2%	2	`y`
30.2%	2	`(sinh.f64 y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
25.0%	1	`y`
25.0%	1	`(sinh.f64 y)`
25.0%	1	`x`
25.0%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.05653419949867e-36	4.38827602505297e-33
0.0ms	-inf	-1.4201417239293772e-105

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.05653419949867e-36	4.38827602505297e-33
0.0ms	-inf	-1.4201417239293772e-105

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.05653419949867e-36	4.38827602505297e-33
0.0ms	-inf	-1.4201417239293772e-105

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch9.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.5607629889526794e+21	4.5514680699488116e+21

Samples

6.0ms

64×

valid

Compiler

Compiled 54 to 71 computations (-31.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 3.0ms (68.6% 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)

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.7819031662244355e-205	-4.20315390647931e-210

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.318967959954339e-287	1.0457084331830414e-282

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.7819031662244355e-205	-4.20315390647931e-210

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8426311215236094e-182	-1.936744644320188e-195

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8426311215236094e-182	-1.936744644320188e-195

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.7819031662244355e-205	-4.20315390647931e-210

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.7819031662244355e-205	-4.20315390647931e-210

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.7819031662244355e-205	-4.20315390647931e-210

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.401494587022955e-60	2.2893313199967333e-59

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.7819031662244355e-205	-4.20315390647931e-210

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify70.0ms (0.7%)

Memory

-26.7MiB live, 48.7MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1049
1	180	1049
2	184	1049
3	186	1049
4	187	1049

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) (/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ ( (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 y x) (sin.f64 x))) #s(approx (/ ( (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 x #s(literal 2600000000000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y)) #s(approx (/ ( (sin x) (sinh y)) x) (sinh.f64 y)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1495020541582441/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y))) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1495020541582441/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y))) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) (/.f64 #s(approx ( (sin x) (sinh y)) #s(approx (* (sin x) y) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) y) x))) x) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y))) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 x y))) x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))

Outputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) (/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
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(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.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)) #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #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))) y)))
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(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.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)) #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1495020541582441/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y))) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (- (exp y) (exp (neg y))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 y y) #s(literal 1/60 binary64)) (.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))
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(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1495020541582441/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 y (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x) y))) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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)))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1495020541582441/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/6 binary64)) y) (.f64 x x) y))) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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)))
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(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) (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)))
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(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y))) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 #s(approx (* y (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) (.f64 #s(literal -1/6 binary64) y)) (.f64 x x) y)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)))
(if (<=.f64 (/.f64 (.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5648027917416435/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))

soundness1.7s (17.9%)

Memory

42.6MiB live, 1 148.4MiB allocated

Rules

19 474×	`lower-fma.f64`
19 474×	`lower-fma.f32`
15 192×	`lower-fma.f64`
15 192×	`lower-fma.f32`
12 000×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	179
0	59	161
1	201	155
2	1384	155
0	8482	155
0	357	5522
1	1203	5224
2	4345	4906
0	8066	4668
0	113	944
1	373	889
2	1224	849
3	3021	828
0	8122	792
0	172	4237
1	574	4041
2	2036	3821
3	5507	3682
4	7412	3682
0	8196	3498
0	187	5364
1	612	5209
2	2019	5062
3	4284	4978
4	6682	4970
0	8368	4665
0	6	16
0	10	16
1	27	16
2	117	16
3	840	16
0	8257	16

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 886 to 461 computations (48% saved)

preprocess280.0ms (3%)

Memory: -0.9MiB live, 189.4MiB allocated
Remove: (abs x)
Compiler: Compiled 1 550 to 450 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze125.0ms (1.3%)

sample1.3s (13.5%)

explain86.0ms (0.9%)

preprocess295.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify241.0ms (2.5%)

localize52.0ms (0.6%)

series12.0ms (0.1%)

simplify266.0ms (2.8%)

rewrite196.0ms (2.1%)

eval85.0ms (0.9%)

prune34.0ms (0.4%)

simplify233.0ms (2.5%)

localize520.0ms (5.5%)

series88.0ms (0.9%)

simplify283.0ms (3%)

rewrite670.0ms (7.1%)

eval332.0ms (3.5%)

prune57.0ms (0.6%)

simplify152.0ms (1.6%)

localize152.0ms (1.6%)

series30.0ms (0.3%)

simplify195.0ms (2.1%)

rewrite239.0ms (2.5%)

eval114.0ms (1.2%)

prune40.0ms (0.4%)

simplify253.0ms (2.7%)

localize122.0ms (1.3%)

series118.0ms (1.2%)

simplify247.0ms (2.6%)

rewrite201.0ms (2.1%)

eval211.0ms (2.2%)

prune93.0ms (1%)

regimes85.0ms (0.9%)

regimes47.0ms (0.5%)

regimes40.0ms (0.4%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes36.0ms (0.4%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes25.0ms (0.3%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes40.0ms (0.4%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch9.0ms (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%)

simplify70.0ms (0.7%)

soundness1.7s (17.9%)

preprocess280.0ms (3%)

end0.0ms (0%)

Profiling