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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze16.0ms (0.2%)

Memory

-19.8MiB live, 17.4MiB allocated

Algorithm

1×

Search

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

sample1.2s (12.2%)

Memory

-11.5MiB live, 1 232.2MiB allocated

Samples

829.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 581.0ms

ival-sin: 345.0ms (59.4% of total)

ival-div: 114.0ms (19.6% of total)

ival-sinh: 58.0ms (10% of total)

ival-mult: 54.0ms (9.3% of total)

ival-true: 7.0ms (1.2% of total)

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

Bogosity

explain122.0ms (1.3%)

Memory

-1.1MiB live, 157.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
30	-	7	(7.025762961595157e-86 -1.605515306983043e-236)	`(/.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	23	0
↳	`(*.f64 (sin.f64 x) (sinh.f64 y))`	underflow	23

Confusion

	Predicted +	Predicted -
+	23	7
-	0	226

Precision

1.0

Recall

0.7666666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	7
-	0	0	226

Precision?

1.0

Recall?

0.7666666666666667

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

36.0ms

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 (57.1% of total)

ival-div: 3.0ms (13.2% of total)

ival-mult: 3.0ms (13.2% of total)

ival-sinh: 3.0ms (13.2% of total)

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

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

preprocess356.0ms (3.6%)

Memory

38.1MiB live, 113.1MiB allocated

Algorithm

1×	egg-herbie

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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.2%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify232.0ms (2.4%)

Memory

-2.6MiB live, 34.8MiB 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)

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

localize77.0ms (0.8%)

Memory

-0.8MiB live, 42.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.00390625	(sin.f64 x)
accuracy	0.046875	(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy	6.260877501216379	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Samples

45.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (56.4% of total)

ival-div: 2.0ms (18.8% of total)

ival-mult: 2.0ms (18.8% of total)

ival-sinh: 1.0ms (9.4% of total)

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

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

series52.0ms (0.5%)

Memory

-8.9MiB live, 30.3MiB 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
41.0ms	y	@	-inf	((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
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	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))

simplify188.0ms (1.9%)

Memory

-11.8MiB live, 145.7MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite175.0ms (1.8%)

Memory

-2.2MiB live, 121.3MiB allocated

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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eval115.0ms (1.2%)

Memory: 35.8MiB live, 109.2MiB allocated
Compiler: Compiled 9 286 to 1 554 computations (83.3% saved)

prune54.0ms (0.6%)

Memory

5.1MiB live, 41.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	556	9	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	557	9	566

Accuracy

100.0%

Counts

566 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
▶	99.7%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	80.8%	(/.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)
	40.7%	(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
	99.9%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	90.2%	(.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 (sinh.f64 y) (sin.f64 x))))
▶	50.4%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
▶	52.9%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
▶	90.2%	#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 184 to 148 computations (19.6% saved)

simplify395.0ms (4.1%)

Memory

-26.8MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))
cost-diff	0	(exp.f64 y)
cost-diff	0	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
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	7040	(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff	0	(sin.f64 x)
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	#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	(sin.f64 x)
cost-diff	0	(/.f64 x (sin.f64 x))
cost-diff	0	(sinh.f64 y)
cost-diff	384	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	192
0	50	186
1	89	186
2	192	186
3	537	184
4	1870	178
5	4047	178
6	6145	178
0	8268	176

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (2.6%)

Memory

12.3MiB live, 172.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x (sinh.f64 y))
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.00390625	(sin.f64 x)
accuracy	0.2234122799973112	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
accuracy	0	(exp.f64 (neg.f64 y))
accuracy	0	(exp.f64 y)
accuracy	14.352602417752312	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy	28.737059666130932	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy	0.0078125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	0.046875	(.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	0.07421875	(/.f64 (sin.f64 x) x)
accuracy	0.48718451120721507	#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	0.00390625	(sin.f64 x)
accuracy	0.04296875	(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy	0.07421875	(/.f64 (sin.f64 x) x)
accuracy	0.6382795411078657	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy	0.00390625	(sinh.f64 y)
accuracy	0.00390625	(sin.f64 x)
accuracy	0.0234375	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
accuracy	0.05859375	(/.f64 x (sin.f64 x))

Samples

107.0ms	130×	5	exit
54.0ms	51×	2	valid
51.0ms	70×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 166 to 30 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

adjust: 28.0ms (17.3% of total)

ival-exp: 25.0ms (15.4% of total)

ival-add: 24.0ms (14.8% of total)

ival-sinh: 22.0ms (13.6% of total)

ival-div: 21.0ms (12.9% of total)

ival-mult: 20.0ms (12.3% of total)

const: 10.0ms (6.2% of total)

ival-sin: 6.0ms (3.7% of total)

ival-sub: 4.0ms (2.5% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.8%)

Memory

8.7MiB live, 55.3MiB allocated

Counts

18 → 324

Calls

Call 1

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

Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 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 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 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 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 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 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) (patch (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) #<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 (/ (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>) () ())) ())
#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>) () ())) ())
#s(alt y (taylor 0 y) (#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 (* y (+ 1 (* 1/6 (pow y 2)))) (taylor 0 y) (#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 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (taylor 0 y) (#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 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (taylor 0 y) (#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 (/ (* y (sin x)) x) (taylor 0 y) (#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 (* 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 (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 (* 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 (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 (* 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 (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 (* 2 y) (taylor 0 y) (#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 (* y (+ 2 (* 1/3 (pow y 2)))) (taylor 0 y) (#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 (* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) (taylor 0 y) (#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 (* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) (taylor 0 y) (#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 1 (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#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>) () ())) ())
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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 (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 (sin.f64 x) (/.f64 x (sinh.f64 y))) (patch (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#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 (* 2 (/ x (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp y) (/ 1 (exp y))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 y)) (patch (/.f64 x (sinh.f64 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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	x	@	-inf	((/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (sin x) (/ (* (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)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)))
7.0ms	x	@	0	((/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (sin x) (/ (* (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)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)))
5.0ms	x	@	inf	((/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (sin x) (/ (* (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)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)))
4.0ms	y	@	inf	((/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (sin x) (/ (* (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)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)))
4.0ms	y	@	-inf	((/ (sinh y) (/ x (sin x))) (sinh y) (/ x (sin x)) (sin x) (/ (* (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)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1)) y) (+ (* 1/120 (* y y)) 1/6) (exp (neg y)))

simplify280.0ms (2.9%)

Memory

-17.3MiB live, 210.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	4351
1	878	4139
2	3080	3865
0	8177	3656

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 320

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
(* 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)))
(/ (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
(* 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)))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 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)))
(/ 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 (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)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 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 (- (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))
(/ (* 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 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg y))))
(* 1/2 (- (exp y) (exp (neg 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))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(- (exp y) (exp (neg y)))
(exp y)
(exp y)
(exp y)
(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))
(* 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)))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 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)))))
(exp (neg y))
(exp (neg y))
(exp (neg y))
(exp (neg 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 (- (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))
(/ (* 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 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(* 1/2 (- (exp y) (exp (* -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))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(- (exp y) (exp (* -1 y)))
(exp y)
(exp y)
(exp y)
(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))
(* 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)))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) 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)))))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 y))
(exp (* -1 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
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
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)))))))))
(+ 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 (- (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)))))))))
(* 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)))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin 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))
(/ (* (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))
(* 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)))))
(/ (* 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)
(* 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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin 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))
(/ (* (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))
(* 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)))))
(/ (* 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)

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

rewrite477.0ms (4.9%)

Memory

1.1MiB live, 312.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	151
0	50	141
1	161	137
2	1049	135
0	9041	133

Stop Event

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

Counts

18 → 1 167

Calls

Call 1

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

Outputs
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eval662.0ms (6.8%)

Memory: 5.1MiB live, 488.9MiB allocated
Compiler: Compiled 32 779 to 3 941 computations (88% saved)

prune79.0ms (0.8%)

Memory

17.1MiB live, 146.2MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 674	17	1 691
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	1 682	18	1 700

Accuracy

100.0%

Counts

1 700 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.4%	(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
▶	50.4%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
✓	50.4%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
	65.8%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
	40.7%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) y)))
	52.8%	#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)))
	14.6%	#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)))
	80.6%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
	59.2%	#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))
▶	92.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
	37.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
▶	39.1%	#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))
	35.3%	#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))
▶	28.1%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
	59.9%	#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)))
	54.1%	#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)))
	58.4%	#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))
▶	65.5%	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))

Compiler

Compiled 417 to 336 computations (19.4% saved)

simplify159.0ms (1.6%)

Memory

-36.3MiB live, 135.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 x)
cost-diff	0	(/.f64 x (sin.f64 x))
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
cost-diff	384	(/.f64 y (/.f64 x (sin.f64 x)))
cost-diff	0	(sinh.f64 y)
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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	(/.f64 y x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	247
0	52	247
1	94	247
2	204	247
3	604	244
4	1917	244
5	3862	244
6	5128	244
7	6178	244
8	7594	244
0	8019	241

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (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) (sinh y)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) (/.f64 (sin.f64 x) x)))
(.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) (/.f64 (sin.f64 x) x))
(sin.f64 x)
x
(.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) x)
(/.f64 y x)
y
(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 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #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))
(*.f64 y y)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#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) (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) y)
y
(/.f64 x (sin.f64 x))
x
(sin.f64 x)

localize113.0ms (1.2%)

Memory

28.6MiB live, 180.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 x)
accuracy	0.1015625	(/.f64 y (/.f64 x (sin.f64 x)))
accuracy	0.1171875	(/.f64 x (sin.f64 x))
accuracy	31.70538874433203	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
accuracy	0.00390625	(sinh.f64 y)
accuracy	22.10251709352468	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
accuracy	0.09375	(.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	0.278741499910647	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	30.41917264919998	#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	31.70538874433203	#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	0.09375	(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy	29.925398471499808	#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy	31.70538874433203	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy	0.26759888083889594	(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy	1.1895173601457958	(.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy	1.5219599084842852	(.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
accuracy	7.3825052970454195	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))

Samples

94.0ms

256×

valid

Compiler

Compiled 174 to 29 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 21.0ms (37.9% of total)

ival-sin: 9.0ms (16.2% of total)

const: 9.0ms (16.2% of total)

ival-div: 8.0ms (14.4% of total)

ival-add: 7.0ms (12.6% of total)

ival-sinh: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series113.0ms (1.2%)

Memory

-32.9MiB live, 91.7MiB allocated

Counts

19 → 360

Calls

Call 1

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

Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) #<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 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) #<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 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) #<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 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<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 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<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 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<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 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) (patch (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<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>) () ())) ())
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#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 (/ (sin x) x) (taylor -inf x) (#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 (/ (sin x) x) (taylor -inf x) (#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 (/ (sin x) x) (taylor -inf x) (#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 (/ (sin x) x) (taylor -inf x) (#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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#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 -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))) 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 -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))) 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 -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))) 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 -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))) 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 (/ (sin x) x) (taylor -inf x) (#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 (/ (sin x) x) (taylor -inf x) (#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 (/ (sin x) x) (taylor -inf x) (#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 (/ (sin x) x) (taylor -inf x) (#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 (* 1/120 (pow x 4)) (taylor -inf x) (#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 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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) (sinh.f64 y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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) (sinh.f64 y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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) (sinh.f64 y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (/.f64 y (/.f64 x (sin.f64 x))) (patch (/.f64 y (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (/.f64 y (/.f64 x (sin.f64 x))) (patch (/.f64 y (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (/.f64 y (/.f64 x (sin.f64 x))) (patch (/.f64 y (/.f64 x (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (sin x)) x) (taylor -inf x) (#s(alt (/.f64 y (/.f64 x (sin.f64 x))) (patch (/.f64 y (/.f64 x (sin.f64 x))) #<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 y (/.f64 x (sin.f64 x)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) #<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 y (/.f64 x (sin.f64 x)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) #<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 y (/.f64 x (sin.f64 x)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) #<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 y (/.f64 x (sin.f64 x)))) (patch #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt (/.f64 x (sin.f64 x)) (patch (/.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<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
6.0ms	y	@	inf	((/ (* (sin x) (sinh y)) x) (* (sin x) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1))) (sin x) (/ y 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) (sinh y) (/ y (/ x (sin x))) (/ (* (sin x) (sinh y)) x) (/ x (sin x)) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (+ (* (* x x) 1/120) -1/6))
5.0ms	x	@	inf	((/ (* (sin x) (sinh y)) x) (* (sin x) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1))) (sin x) (/ y 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) (sinh y) (/ y (/ x (sin x))) (/ (* (sin x) (sinh y)) x) (/ x (sin x)) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (+ (* (* x x) 1/120) -1/6))
5.0ms	x	@	-inf	((/ (* (sin x) (sinh y)) x) (* (sin x) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1))) (sin x) (/ y 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) (sinh y) (/ y (/ x (sin x))) (/ (* (sin x) (sinh y)) x) (/ x (sin x)) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (+ (* (* x x) 1/120) -1/6))
3.0ms	y	@	-inf	((/ (* (sin x) (sinh y)) x) (* (sin x) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1))) (sin x) (/ y 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) (sinh y) (/ y (/ x (sin x))) (/ (* (sin x) (sinh y)) x) (/ x (sin x)) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (+ (* (* x x) 1/120) -1/6))
2.0ms	x	@	0	((/ (* (sin x) (sinh y)) x) (* (sin x) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1))) (sin x) (/ y 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) (sinh y) (/ y (/ x (sin x))) (/ (* (sin x) (sinh y)) x) (/ x (sin x)) (* (/ y x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (* y y) 1/120) 1/6) (+ (* (* x x) 1/120) -1/6))

simplify185.0ms (1.9%)

Memory

16.0MiB live, 245.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	4337
1	674	4149
2	2301	3920
3	5936	3841
4	7755	3841
0	8109	3648

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 355

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 (+ (* 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)))
(/ 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)))
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 (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 x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 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))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(/ 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))
(* 1/2 (- (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))))
(/ (* 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 5) x))
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 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))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (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))
(* 1/2 (- (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))))
(/ (* 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))
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(* 1/120 (/ (pow y 5) x))
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(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 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 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
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))))
(/ 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
(+ 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)))))))))
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)))))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
-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) (+ 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)
(sin x)
(sin x)
(sin 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)
(/ (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))
(/ (* 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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) 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))
(* 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)
(sin x)
(sin x)
(sin 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)
(/ (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))
(/ (* 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))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ x (sin x))
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) 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)))
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rewrite227.0ms (2.3%)

Memory

22.9MiB live, 378.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	213
0	52	213
1	170	213
2	1097	210
0	8772	207

Stop Event

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

Counts

19 → 694

Calls

Call 1

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

Outputs
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eval164.0ms (1.7%)

Memory: -0.8MiB live, 313.0MiB allocated
Compiler: Compiled 22 966 to 2 996 computations (87% saved)

prune75.0ms (0.8%)

Memory

-13.0MiB live, 161.9MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 065	4	1 069
Fresh	2	10	12
Picked	1	4	5
Done	0	1	1
Total	1 068	19	1 087

Accuracy

100.0%

Counts

1 087 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.4%	(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
✓	50.4%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
▶	38.3%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	38.4%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	38.4%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
✓	50.4%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
	65.8%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
	40.7%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) y)))
▶	80.6%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
	59.2%	#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))
✓	92.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
▶	37.2%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
▶	35.3%	#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))
▶	39.1%	#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))
✓	28.1%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
	59.9%	#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)))
	54.1%	#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)))
	58.4%	#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))
✓	65.5%	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))

Compiler

Compiled 439 to 335 computations (23.7% saved)

simplify270.0ms (2.8%)

Memory

-2.3MiB live, 151.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
cost-diff	0	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	480
0	79	480
1	139	480
2	237	480
3	527	480
4	1260	478
5	2225	478
6	2948	478
7	4194	478
8	5251	478
9	6517	478
10	7111	478
0	8015	471

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
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) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
y
#s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64))
#s(literal 31/15120 binary64)
(*.f64 x x)
x
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) x) (sin.f64 x)))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) x) (sin.f64 x))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
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) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
y
#s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64))
#s(literal 31/15120 binary64)
(*.f64 x x)
x
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize425.0ms (4.4%)

Memory

-2.4MiB live, 202.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.37068835852090815	(fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64))
accuracy	30.022705432671845	#s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	31.70538874433203	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.09375	(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y)
accuracy	0.28024276790413427	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy	30.375929702899008	#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	31.70538874433203	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
accuracy	0.329522749910647	(.f64 (.f64 x x) #s(literal 1/120 binary64))
accuracy	30.41917264919998	#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	31.70538874433203	#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	32.497382456283276	#s(approx (+ (* (* x x) 1/120) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
accuracy	0.08984375	(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	0.09375	(.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) y)
accuracy	30.24490006506497	#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	31.70538874433203	#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	0.1015625	(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
accuracy	0.1328125	(/.f64 (sin.f64 x) x)
accuracy	3.7964614501081355	(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
accuracy	12.841865389149406	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))

Samples

291.0ms

256×

valid

Compiler

Compiled 265 to 43 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

const: 178.0ms (78.6% of total)

ival-mult: 23.0ms (10.2% of total)

ival-add: 11.0ms (4.9% of total)

ival-sin: 7.0ms (3.1% of total)

ival-div: 6.0ms (2.6% of total)

ival-sinh: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series132.0ms (1.4%)

Memory

0.1MiB live, 77.1MiB allocated

Counts

26 → 444

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (patch (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y 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>) () ())
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#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y) (patch (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))) (patch #s(approx (/ ( (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
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#s(alt #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
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#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())
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#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>) () ())
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#s(alt (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (patch (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* y (sin x)) x) (taylor 0 y) (#s(alt #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (patch #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (patch (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (patch (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (patch (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (patch (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ (* 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 (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin x)) (taylor -inf x) (#s(alt #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 31/15120 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 31/15120 (* 7/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 31/15120 (+ (/ 1/6 (pow x 4)) (* 7/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 31/15120 (+ (/ 1/6 (pow x 4)) (+ (* 7/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) (patch (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) (patch (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) (patch (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) (patch (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* 1/120 (pow x 2)) (taylor -inf x) (#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 (* 1/120 (pow x 2)) (taylor -inf x) (#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 (* 1/120 (pow x 2)) (taylor -inf x) (#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 (* 1/120 (pow x 2)) (taylor -inf x) (#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 (* -1/5040 (pow x 2)) (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 (* (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 (* (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 (* (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 (* 31/15120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (patch (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 31/15120 (* 7/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (patch (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 31/15120 (* 7/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (patch (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 31/15120 (* 7/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (patch (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
87.0ms	x	@	inf	((/ (* (sin x) (sinh y)) x) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (* y 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) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ y (/ x (sin x))) (/ x (sin x)) (+ (* (+ (* (+ (* 31/15120 (* x x)) 7/360) (* x x)) 1/6) (* x x)) 1) (/ (sin x) x) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (+ (* 31/15120 (* x x)) 7/360))
9.0ms	x	@	0	((/ (* (sin x) (sinh y)) x) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (* y 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) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ y (/ x (sin x))) (/ x (sin x)) (+ (* (+ (* (+ (* 31/15120 (* x x)) 7/360) (* x x)) 1/6) (* x x)) 1) (/ (sin x) x) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (+ (* 31/15120 (* x x)) 7/360))
6.0ms	x	@	-inf	((/ (* (sin x) (sinh y)) x) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (* y 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) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ y (/ x (sin x))) (/ x (sin x)) (+ (* (+ (* (+ (* 31/15120 (* x x)) 7/360) (* x x)) 1/6) (* x x)) 1) (/ (sin x) x) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (+ (* 31/15120 (* x x)) 7/360))
3.0ms	y	@	inf	((/ (* (sin x) (sinh y)) x) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (* y 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) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ y (/ x (sin x))) (/ x (sin x)) (+ (* (+ (* (+ (* 31/15120 (* x x)) 7/360) (* x x)) 1/6) (* x x)) 1) (/ (sin x) x) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (+ (* 31/15120 (* x x)) 7/360))
3.0ms	y	@	-inf	((/ (* (sin x) (sinh y)) x) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (* y 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) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ y (/ x (sin x))) (/ x (sin x)) (+ (* (+ (* (+ (* 31/15120 (* x x)) 7/360) (* x x)) 1/6) (* x x)) 1) (/ (sin x) x) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (+ (* (* x x) 1/120) -1/6) (* (* x x) 1/120) (+ (* -1/5040 (* x x)) 1/120) (+ (* 31/15120 (* x x)) 7/360))

simplify232.0ms (2.4%)

Memory

7.4MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	4878
1	633	4678
2	2271	4402
3	5745	4329
0	8195	4107

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 440

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

rewrite218.0ms (2.2%)

Memory

8.2MiB live, 319.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	420
0	79	420
1	280	420
2	1848	420
0	8633	415

Stop Event

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

Counts

26 → 513

Calls

Call 1

Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y 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) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))
(.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) x)
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
#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))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64))

Outputs
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eval159.0ms (1.6%)

Memory: -17.6MiB live, 383.7MiB allocated
Compiler: Compiled 20 650 to 2 853 computations (86.2% saved)

prune45.0ms (0.5%)

Memory

-1.1MiB live, 160.0MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	944	9	953
Fresh	2	7	9
Picked	4	1	5
Done	0	5	5
Total	950	22	972

Accuracy

100.0%

Counts

972 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.4%	(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
	74.9%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y) x))
✓	50.4%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
	38.3%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	38.4%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	38.4%	#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
✓	50.4%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
	65.8%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
	40.7%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) y)))
	55.6%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y))
	59.2%	#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))
✓	92.4%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))))
	23.5%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.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 #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) #s(literal 1 binary64))) y))
	35.3%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y))
✓	39.1%	#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))
	10.8%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) y))
✓	28.1%	#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
	59.9%	#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)))
	58.4%	#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))
	54.1%	#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
✓	65.5%	#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))

Compiler

Compiled 799 to 414 computations (48.2% saved)

regimes55.0ms (0.6%)

Memory

3.4MiB live, 161.8MiB allocated

Counts

40 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (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) (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 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 (sinh.f64 y) (sin.f64 x))))

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

Calls

4 calls:

15.0ms	y
15.0ms	(sinh.f64 y)
13.0ms	x
10.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes109.0ms (1.1%)

Memory

16.4MiB live, 95.5MiB allocated

Counts

38 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (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) (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)))

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

Calls

4 calls:

75.0ms	x
11.0ms	y
11.0ms	(sinh.f64 y)
10.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
99.9%	1	`(sinh.f64 y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes51.0ms (0.5%)

Memory

10.2MiB live, 99.3MiB allocated

Counts

35 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y) x))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (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) (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))

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

Calls

4 calls:

14.0ms	y
14.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
11.0ms	x
10.0ms	(sinh.f64 y)

Results

Accuracy	Segments	Branch
95.4%	2	`x`
97.6%	3	`y`
99.6%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
92.4%	1	`(sinh.f64 y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes12.0ms (0.1%)

Memory

-13.3MiB live, 25.2MiB allocated

Counts

31 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (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 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))

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

Calls

1 calls:

8.0ms

(/.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)

regimes12.0ms (0.1%)

Memory

-10.2MiB live, 28.0MiB allocated

Counts

29 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 (sin.f64 x)) 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 y (/.f64 x (sin.f64 x))))

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
99.3%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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 y x) (sin.f64 x)))

#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
99.3%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes36.0ms (0.4%)

Memory

-34.6MiB live, 48.8MiB allocated

Counts

23 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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) (*.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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (*.f64 #s(literal 31/15120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
76.0%	2	`(sinh.f64 y)`
78.6%	3	`x`
76.0%	2	`y`
87.8%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

20 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* x x)) 1/120) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) x) x)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (*.f64 #s(literal 31/15120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

#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:

6.0ms

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

Results

Accuracy	Segments	Branch
82.3%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

17 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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))

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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

#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
82.3%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

-27.2MiB live, 11.2MiB allocated

Counts

16 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) 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) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

#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:

7.0ms

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

Results

Accuracy	Segments	Branch
81.6%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

15 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.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)) (.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) y))

Outputs

#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

#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:

5.0ms

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

Results

Accuracy	Segments	Branch
80.1%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

11 → 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 (.f64 x x) #s(literal -1/6 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #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 (.f64 #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 (.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 #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 y #s(approx (/ x (sin x)) (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))
#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 (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 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #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) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 y #s(approx (/ x (sin x)) (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) (+ (* (+ (* 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
80.1%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes18.0ms (0.2%)

Memory

-8.5MiB live, 30.2MiB allocated

Counts

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

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

4 calls:

6.0ms	(sinh.f64 y)
4.0ms	x
4.0ms	y
3.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
71.1%	3	`y`
69.0%	2	`(sinh.f64 y)`
60.6%	2	`x`
77.5%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
73.2%	3	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`(sinh.f64 y)`
55.9%	2	`y`
62.6%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

-36.9MiB live, 5.7MiB allocated

Counts

3 → 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 (*.f64 x x) #s(literal -1/6 binary64)))) y))

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
62.6%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB 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 (*.f64 x x) #s(literal -1/6 binary64)))) y))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
34.8%	2	`(sinh.f64 y)`
34.9%	2	`y`
35.3%	2	`x`
36.7%	2	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes7.0ms (0.1%)

Memory

-18.4MiB live, 20.4MiB 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:

3.0ms	y
1.0ms	x
1.0ms	(sinh.f64 y)
1.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Accuracy	Segments	Branch
28.1%	1	`(sinh.f64 y)`
28.1%	1	`y`
28.1%	1	`x`
28.1%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.927895894093217e-35	5.1501579695221025e-34
0.0ms	-inf	-3.3293110305560885e-51

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.927895894093217e-35	5.1501579695221025e-34
0.0ms	-inf	-3.3293110305560885e-51

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.927895894093217e-35	5.1501579695221025e-34
0.0ms	-inf	-3.3293110305560885e-51

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.927895894093217e-35	5.1501579695221025e-34
0.0ms	-inf	-3.3293110305560885e-51

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.285920295863231e-251	4.847275160641391e-243
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.285920295863231e-251	4.847275160641391e-243
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.285920295863231e-251	4.847275160641391e-243
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.285920295863231e-251	4.847275160641391e-243
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.285920295863231e-251	4.847275160641391e-243
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.927895894093217e-35	5.1501579695221025e-34
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.927895894093217e-35	5.1501579695221025e-34
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.927895894093217e-35	5.1501579695221025e-34
0.0ms	-3.691081378959265e-136	-1.1031606715798074e-138

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.738956560345641e-203	-7.040235808781023e-217

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.738956560345641e-203	-7.040235808781023e-217

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.738956560345641e-203	-7.040235808781023e-217

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify31.0ms (0.3%)

Memory

1.2MiB live, 80.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	1404
1	174	1404

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.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 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (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) (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 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) #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 4676805239458889/46768052394588893382517914646921056628989841375232 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 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 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 5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* x x)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
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(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 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 5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))) #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 -5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))) #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 -5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5159126280621731/128978157015543273035239205301883937138390460458037480988271657477215308241387905145121400363197555638348240965150666181367760634644210336242807367788803607643649092773194600627131718182721299085210994362356247168981452219910049252646092992863046014767953755101986816 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))) #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 -5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (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) (+ (* (+ (* 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 -5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (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) (+ (* (+ (* 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 -5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (/.f64 y #s(approx (/ x (sin x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -441252181048159/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -441252181048159/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 #s(approx ( (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)))
(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -441252181048159/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (/ ( (sin x) (sinh y)) x) (.f64 #s(approx (/ (sin x) x) #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) 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 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(*.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 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (sin.f64 x) (.f64 (/.f64 y x) (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) (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 (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)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (.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)) (/.f64 y x)) (sin.f64 x))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
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(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 (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)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (.f64 (.f64 (/.f64 (sin.f64 x) x) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #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 -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 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) #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 (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)) (if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
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(if (<=.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -441252181048159/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 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 (17.7%)

Memory

15.7MiB live, 1 283.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	420
0	79	420
1	280	420
2	1848	420
0	8633	415
0	31	151
0	50	141
1	161	137
2	1049	135
0	9041	133
0	113	944
1	373	889
2	1224	849
3	3021	828
0	8122	792
0	202	4878
1	633	4678
2	2271	4402
3	5745	4329
0	8195	4107
0	272	4351
1	878	4139
2	3080	3865
0	8177	3656
0	212	4337
1	674	4149
2	2301	3920
3	5936	3841
4	7755	3841
0	8109	3648
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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 275 to 589 computations (53.8% saved)

preprocess301.0ms (3.1%)

Memory

-20.9MiB live, 216.9MiB allocated

Remove

(negabs y)

(abs x)

Compiler

Compiled 1 790 to 300 computations (83.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze16.0ms (0.2%)

sample1.2s (12.2%)

explain122.0ms (1.3%)

preprocess356.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify232.0ms (2.4%)

localize77.0ms (0.8%)

series52.0ms (0.5%)

simplify188.0ms (1.9%)

rewrite175.0ms (1.8%)

eval115.0ms (1.2%)

prune54.0ms (0.6%)

simplify395.0ms (4.1%)

localize258.0ms (2.6%)

series74.0ms (0.8%)

simplify280.0ms (2.9%)

rewrite477.0ms (4.9%)

eval662.0ms (6.8%)

prune79.0ms (0.8%)

simplify159.0ms (1.6%)

localize113.0ms (1.2%)

series113.0ms (1.2%)

simplify185.0ms (1.9%)

rewrite227.0ms (2.3%)

eval164.0ms (1.7%)

prune75.0ms (0.8%)

simplify270.0ms (2.8%)

localize425.0ms (4.4%)

series132.0ms (1.4%)

simplify232.0ms (2.4%)

rewrite218.0ms (2.2%)

eval159.0ms (1.6%)

prune45.0ms (0.5%)

regimes55.0ms (0.6%)

regimes109.0ms (1.1%)

regimes51.0ms (0.5%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes36.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes18.0ms (0.2%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify31.0ms (0.3%)

soundness1.7s (17.7%)

preprocess301.0ms (3.1%)

end0.0ms (0%)

Profiling