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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze20.0ms (0.8%)

Memory

-11.6MiB live, 34.2MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample975.0ms (38.6%)

Memory

42.6MiB live, 1 836.7MiB allocated; 163ms collecting garbage

Samples

660.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 419.0ms

ival-sin: 222.0ms (53% of total)

ival-div: 87.0ms (20.8% of total)

ival-sinh: 53.0ms (12.7% of total)

ival-mult: 52.0ms (12.4% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain75.0ms (3%)

Memory

27.3MiB live, 172.2MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

38.0ms

512×

valid

Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions

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

ival-sin: 11.0ms (48.2% of total)

ival-div: 4.0ms (17.5% of total)

ival-sinh: 4.0ms (17.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

preprocess158.0ms (6.3%)

Memory

-0.2MiB live, 281.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	54	46
2	151	46
3	378	46
4	1577	46
0	6	7
0	10	7
1	19	7
2	37	7
3	83	7
4	335	7
5	2077	7
0	9369	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

series14.0ms (0.6%)

Memory

-24.2MiB live, 22.9MiB allocated; 1ms collecting garbage

Counts

6 → 26

Calls

Call 1

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

Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (sinh y) y)
3.0ms	y	@	0	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (sinh y) y)
3.0ms	y	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (sinh y) y)
2.0ms	x	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (sinh y) y)
1.0ms	x	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) (sinh y) y)

rewrite174.0ms (6.9%)

Memory

31.5MiB live, 222.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	528
0	129	515
1	687	476
0	6444	448

Stop Event

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

Counts

32 → 47

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))
#s(approx (/ (sinh y) y) #s(hole binary64 1))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* 1/6 (pow y 2)))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
#s(approx (/ (sinh y) y) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (sinh y) #s(hole binary64 y))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* 1/6 (pow y 2))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))
#s(approx (sinh y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sinh y) y) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
#s(approx (sinh y) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))

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

eval35.0ms (1.4%)

Memory: -24.5MiB live, 25.4MiB allocated; 32ms collecting garbage
Compiler: Compiled 743 to 189 computations (74.6% saved)

prune18.0ms (0.7%)

Memory

-15.2MiB live, 34.1MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Accuracy

100.0%

Counts

50 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	92.1%	#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)))

Status

Accuracy

Program

✓

100.0%

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

▶

92.1%

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

Compiler

Compiled 38 to 23 computations (39.5% saved)

series19.0ms (0.7%)

Memory

-5.2MiB live, 41.9MiB allocated; 2ms collecting garbage

Counts

13 → 59

Calls

Call 1

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

Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* (pow x 2) (- (* (pow y 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36)) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* (pow x 2) (- (+ (* (pow x 2) (+ 1/120 (* (pow y 2) (+ 1/720 (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36))) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* (pow x 2) (- (+ (* (pow x 2) (+ 1/120 (+ (* (pow x 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/30240)) 1/5040)) (* (pow y 2) (+ 1/720 (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) (* (pow y 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36))) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (+ (* (pow x 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36)) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (+ (* (pow x 2) (- (+ (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* (pow x 2) (+ 1/720 (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) 1/36)) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (+ (* (pow x 2) (- (+ (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* (pow x 2) (+ 1/720 (+ (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* (pow x 2) (- (* -1/5040 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/30240)))))) 1/36)) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (+ (* -1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/5040 (pow y 2)))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1/120 (* 1/5040 (pow y 2)))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/6 (sin x)) (* (pow y 2) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (sin x)))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* 1/120 (sin x))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* 1/5040 (* (pow y 6) (sin x)))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* (pow y 6) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (+ (* 1/6 (/ (sin x) (pow y 4))) (/ (sin x) (pow y 6))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* 1/5040 (* (pow y 4) (sin x)))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* (pow y 4) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* 1/5040 (* (pow y 2) (sin x)))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* (pow y 2) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((* (sin x) (/ (sinh y) y)) (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (sin x) x (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 (* 1/6 (sin x)) 1/6)
3.0ms	x	@	inf	((* (sin x) (/ (sinh y) y)) (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (sin x) x (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 (* 1/6 (sin x)) 1/6)
3.0ms	x	@	0	((* (sin x) (/ (sinh y) y)) (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (sin x) x (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 (* 1/6 (sin x)) 1/6)
2.0ms	x	@	-inf	((* (sin x) (/ (sinh y) y)) (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (sin x) x (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 (* 1/6 (sin x)) 1/6)
2.0ms	y	@	-inf	((* (sin x) (/ (sinh y) y)) (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (sin x) x (+ (* 1/5040 (* y y)) 1/120) 1/5040 (* y y) y 1/120 (* 1/6 (sin x)) 1/6)

rewrite177.0ms (7%)

Memory

35.7MiB live, 318.1MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	2076
0	312	2006
1	1861	1978
0	8908	1920

Stop Event

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

Counts

72 → 171

Calls

Call 1

Inputs
#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x))
(fma.f64 (.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)))
(sin.f64 x)
x
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(literal 1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* (pow x 2) (- (* (pow y 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36)) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* (pow x 2) (- (+ (* (pow x 2) (+ 1/120 (* (pow y 2) (+ 1/720 (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36))) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* (pow x 2) (- (+ (* (pow x 2) (+ 1/120 (+ (* (pow x 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/30240)) 1/5040)) (* (pow y 2) (+ 1/720 (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))) (* (pow y 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36))) 1/6)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (+ (* (pow x 2) (- (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/36)) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (+ (* (pow x 2) (- (+ (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* (pow x 2) (+ 1/720 (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) 1/36)) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* x (+ 1/6 (+ (* (pow x 2) (- (+ (* -1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* (pow x 2) (+ 1/720 (+ (* 1/120 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* (pow x 2) (- (* -1/5040 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) 1/30240)))))) 1/36)) (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (+ (* -1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/5040 (pow y 2)))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* x (+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1/120 (* 1/5040 (pow y 2)))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/6 (sin x)) (* (pow y 2) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (sin x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (sin x)))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* 1/120 (sin x))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* 1/5040 (* (pow y 6) (sin x)))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* (pow y 6) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))))
#s(approx (+ (* (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) (* y y)) (sin x)) #s(hole binary64 (* (pow y 6) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (+ (* 1/6 (/ (sin x) (pow y 4))) (/ (sin x) (pow y 6))))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* 1/5040 (* (pow y 4) (sin x)))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* (pow y 4) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))))
#s(approx (+ (* (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) (* y y)) (* 1/6 (sin x))) #s(hole binary64 (* (pow y 4) (+ (* 1/5040 (sin x)) (+ (* 1/120 (/ (sin x) (pow y 2))) (* 1/6 (/ (sin x) (pow y 4))))))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* 1/5040 (* (pow y 2) (sin x)))))
#s(approx (* (sin x) (+ (* 1/5040 (* y y)) 1/120)) #s(hole binary64 (* (pow y 2) (+ (* 1/5040 (sin x)) (* 1/120 (/ (sin x) (pow y 2)))))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* 1/5040 (pow y 2))))
#s(approx (+ (* 1/5040 (* y y)) 1/120) #s(hole binary64 (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))

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

eval34.0ms (1.4%)

Memory: -9.1MiB live, 84.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 10 305 to 1 067 computations (89.6% saved)

prune731.0ms (28.9%)

Memory

2.8MiB live, 1 362.5MiB allocated; 87ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	225	2	227

Accuracy

100.0%

Counts

227 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	92.1%	#s(approx (* (sin x) (/ (sinh y) y)) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y y) (sin.f64 x)))

Status

Accuracy

Program

✓

100.0%

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

✓

92.1%

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

Compiler

Compiled 76 to 43 computations (43.4% saved)

regimes7.0ms (0.3%)

Memory

-29.1MiB live, 18.7MiB allocated; 1ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
92.1%	1	`(/.f64 (sinh.f64 y) y)`
92.1%	1	`(sin.f64 x)`
92.1%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
92.1%	1	`x`
92.1%	1	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify40.0ms (1.6%)

Memory

10.3MiB live, 59.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	29	38
2	47	38
3	93	38
4	345	38
5	2093	38

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations21.0ms (0.8%)

Memory

-31.6MiB live, 16.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 38 to 20 computations (47.4% saved)

preprocess22.0ms (0.9%)

Memory: 4.0MiB live, 51.3MiB allocated; 2ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 118 to 76 computations (35.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze20.0ms (0.8%)

sample975.0ms (38.6%)

explain75.0ms (3%)

preprocess158.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series14.0ms (0.6%)

rewrite174.0ms (6.9%)

eval35.0ms (1.4%)

prune18.0ms (0.7%)

series19.0ms (0.7%)

rewrite177.0ms (7%)

eval34.0ms (1.4%)

prune731.0ms (28.9%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

simplify40.0ms (1.6%)

derivations21.0ms (0.8%)

preprocess22.0ms (0.9%)

end0.0ms (0%)

Profiling