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

start0.0ms (0%)

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

analyze21.0ms (0.9%)

Memory

-27.7MiB live, 16.1MiB allocated; 13ms 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
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)

sample940.0ms (40%)

Memory

25.4MiB live, 1 206.7MiB allocated; 180ms collecting garbage

Samples

686.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 462.0ms

ival-sin: 278.0ms (60.2% of total)

ival-mult: 66.0ms (14.3% of total)

ival-div: 57.0ms (12.3% of total)

ival-sinh: 56.0ms (12.1% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain97.0ms (4.1%)

Memory

-0.6MiB live, 143.2MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	6	(2.806168150809036e-119 -3.9980022451193316e-194)	`(/.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	26	0
↳	`(*.f64 (sin.f64 x) (sinh.f64 y))`	underflow	26

Confusion

	Predicted +	Predicted -
+	26	6
-	0	224

Precision

1.0

Recall

0.8125

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	26	0	6
-	0	0	224

Precision?

1.0

Recall?

0.8125

Freqs

test

number	freq
0	230
1	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 13.0ms (46.3% of total)

ival-mult: 8.0ms (28.5% of total)

ival-div: 4.0ms (14.2% of total)

ival-sinh: 4.0ms (14.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess267.0ms (11.3%)

Memory

0.5MiB live, 201.9MiB allocated; 108ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	55	46
2	156	46
3	393	46
4	1636	46
0	6	7
0	10	7
1	19	7
2	40	7
3	87	7
4	344	7
5	2093	7
0	9258	7

Stop Event

1×	iter limit
1×	node limit
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 (fma.f64 (sinh.f64 y) (sin.f64 x) #s(literal 0 binary64)) x)

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.8%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

series13.0ms (0.5%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

6 → 30

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

Calls

6 calls:

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

rewrite178.0ms (7.6%)

Memory

-23.9MiB live, 210.5MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	717
0	154	694
1	850	596
0	8099	562

Stop Event

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

Counts

36 → 50

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

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

eval6.0ms (0.3%)

Memory: 17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 909 to 218 computations (76% saved)

prune18.0ms (0.8%)

Memory

-12.0MiB live, 43.8MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Accuracy

100.0%

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.8%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	99.9%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	99.9%	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

Compiler

Compiled 21 to 18 computations (14.3% saved)

series12.0ms (0.5%)

Memory

-19.3MiB live, 27.7MiB allocated; 4ms collecting garbage

Counts

8 → 40

Calls

Call 1

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

Outputs
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (+ (* 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))))))))))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole 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)))))))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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 (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 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))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole 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)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (sinh y) (/ (sin x) x)) #s(hole binary64 (* 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)))))
#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) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 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)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#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	((* (sinh y) (/ (sin x) x)) (sinh y) y (/ (sin x) x) (sin x) x (* (/ (sinh y) x) (sin x)) (/ (sinh y) x))
2.0ms	x	@	-inf	((* (sinh y) (/ (sin x) x)) (sinh y) y (/ (sin x) x) (sin x) x (* (/ (sinh y) x) (sin x)) (/ (sinh y) x))
2.0ms	x	@	inf	((* (sinh y) (/ (sin x) x)) (sinh y) y (/ (sin x) x) (sin x) x (* (/ (sinh y) x) (sin x)) (/ (sinh y) x))
2.0ms	y	@	inf	((* (sinh y) (/ (sin x) x)) (sinh y) y (/ (sin x) x) (sin x) x (* (/ (sinh y) x) (sin x)) (/ (sinh y) x))
1.0ms	x	@	0	((* (sinh y) (/ (sin x) x)) (sinh y) y (/ (sin x) x) (sin x) x (* (/ (sinh y) x) (sin x)) (/ (sinh y) x))

rewrite150.0ms (6.4%)

Memory

35.7MiB live, 218.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	936
0	172	906
1	857	808
0	8094	760

Stop Event

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

Counts

48 → 92

Calls

Call 1

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

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

eval12.0ms (0.5%)

Memory: -24.8MiB live, 20.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 387 to 272 computations (80.4% saved)

prune24.0ms (1%)

Memory

45.4MiB live, 45.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	91	4	95

Accuracy

100.0%

Counts

95 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.8%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
✓	99.9%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	99.9%	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
▶	92.7%	(.f64 #s(approx (/ (sinh y) x) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) y) y (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))) (sin.f64 x))

Compiler

Compiled 61 to 42 computations (31.1% saved)

series45.0ms (1.9%)

Memory

-37.0MiB live, 68.5MiB allocated; 22ms collecting garbage

Counts

22 → 58

Calls

Call 1

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

Outputs
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 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))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole 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)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (/ (+ y (* (pow y 3) (+ 1/6 (+ (* 1/5040 (pow y 4)) (* 1/120 (pow y 2)))))) x)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (/ (+ 1/6 (+ (* 1/5040 (pow y 4)) (* 1/120 (pow y 2)))) x)))
#s(approx (* (* (/ (* y y) x) 1/5040) y) #s(hole binary64 (* 1/5040 (/ (pow y 3) x))))
#s(approx (* (/ (* y y) x) 1/5040) #s(hole binary64 (* 1/5040 (/ (pow y 2) x))))
#s(approx (/ (* y y) x) #s(hole binary64 (/ (pow y 2) x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (/ (+ 1/6 (* 1/120 (pow y 2))) x)))
#s(approx (* (pow x -1) y) #s(hole binary64 (/ y x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#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 (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* (pow y 3) (+ (* -1 (+ 1/6 (* 1/120 (pow y 2)))) (* -1/5040 (pow y 4))))) x))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* -1 (/ (+ (* -1 (+ 1/6 (* 1/120 (pow y 2)))) (* -1/5040 (pow y 4))) x))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 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)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (/ y x)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (* y (* y y)) #s(hole binary64 (pow y 3)))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (/ 1/6 x)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (* (* y y) 1/120) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* 1/5040 (/ (pow y 7) x))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x)))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (* 1/5040 (/ 1 x)) (+ (* 1/6 (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 6)))))))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* 1/5040 (/ (pow y 4) x))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* (pow y 4) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* (pow y 4) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x)))))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (* 1/120 (/ (pow y 2) x))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (* (pow y 2) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 1/5040 (/ 1 x)))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 4))) (+ (* 1/5040 (/ 1 x)) (/ 1/120 (* x (pow y 2)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (* y (* y y)) y (* y y) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (* (* (/ (* y y) x) 1/5040) y) (* (/ (* y y) x) 1/5040) (/ (* y y) x) x 1/5040 (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (+ (* (* (* y y) 1/120) 1) 1/6) (* (* y y) 1/120) 1/120 1 1/6 (* (pow x -1) y) (pow x -1) -1 (sin x))
12.0ms	x	@	0	((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (* y (* y y)) y (* y y) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (* (* (/ (* y y) x) 1/5040) y) (* (/ (* y y) x) 1/5040) (/ (* y y) x) x 1/5040 (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (+ (* (* (* y y) 1/120) 1) 1/6) (* (* y y) 1/120) 1/120 1 1/6 (* (pow x -1) y) (pow x -1) -1 (sin x))
5.0ms	y	@	-inf	((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (* y (* y y)) y (* y y) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (* (* (/ (* y y) x) 1/5040) y) (* (/ (* y y) x) 1/5040) (/ (* y y) x) x 1/5040 (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (+ (* (* (* y y) 1/120) 1) 1/6) (* (* y y) 1/120) 1/120 1 1/6 (* (pow x -1) y) (pow x -1) -1 (sin x))
5.0ms	x	@	-inf	((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (* y (* y y)) y (* y y) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (* (* (/ (* y y) x) 1/5040) y) (* (/ (* y y) x) 1/5040) (/ (* y y) x) x 1/5040 (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (+ (* (* (* y y) 1/120) 1) 1/6) (* (* y y) 1/120) 1/120 1 1/6 (* (pow x -1) y) (pow x -1) -1 (sin x))
5.0ms	x	@	inf	((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (* y (* y y)) y (* y y) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (* (* (/ (* y y) x) 1/5040) y) (* (/ (* y y) x) 1/5040) (/ (* y y) x) x 1/5040 (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (+ (* (* (* y y) 1/120) 1) 1/6) (* (* y y) 1/120) 1/120 1 1/6 (* (pow x -1) y) (pow x -1) -1 (sin x))

rewrite188.0ms (8%)

Memory

6.4MiB live, 325.2MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1900
0	295	1750
1	1440	1710
0	8106	1623

Stop Event

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

Counts

80 → 213

Calls

Call 1

Inputs
(.f64 #s(approx (/ (sinh y) x) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) y) y (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))) (sin.f64 x))
#s(approx (/ (sinh y) x) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) y) y (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) y)))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) y) y (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) y))
(.f64 y (.f64 y y))
y
(*.f64 y y)
(fma.f64 (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) y) y (/.f64 (fma.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) x))
(.f64 (.f64 (/.f64 (*.f64 y y) x) #s(literal 1/5040 binary64)) y)
(.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64))
(/.f64 (*.f64 y y) x)
x
#s(literal 1/5040 binary64)
(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1 binary64)
#s(literal 1/6 binary64)
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(sin.f64 x)
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (- (exp y) (/ 1 (exp y))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (+ (* 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))))))))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole 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)))))))))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (/ (+ y (* (pow y 3) (+ 1/6 (+ (* 1/5040 (pow y 4)) (* 1/120 (pow y 2)))))) x)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (/ (+ 1/6 (+ (* 1/5040 (pow y 4)) (* 1/120 (pow y 2)))) x)))
#s(approx (* (* (/ (* y y) x) 1/5040) y) #s(hole binary64 (* 1/5040 (/ (pow y 3) x))))
#s(approx (* (/ (* y y) x) 1/5040) #s(hole binary64 (* 1/5040 (/ (pow y 2) x))))
#s(approx (/ (* y y) x) #s(hole binary64 (/ (pow y 2) x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (/ (+ 1/6 (* 1/120 (pow y 2))) x)))
#s(approx (* (pow x -1) y) #s(hole binary64 (/ y x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#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 (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* -1 (/ (+ (* -1 y) (* (pow y 3) (+ (* -1 (+ 1/6 (* 1/120 (pow y 2)))) (* -1/5040 (pow y 4))))) x))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* -1 (/ (+ (* -1 (+ 1/6 (* 1/120 (pow y 2)))) (* -1/5040 (pow y 4))) x))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (/ (* y (sin x)) x)))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))))
#s(approx (* (/ (sinh y) x) (sin x)) #s(hole binary64 (* 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)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (/ y x)))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (/ (sinh y) x) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (/ y x)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))))
#s(approx (* y (* y y)) #s(hole binary64 (pow y 3)))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (/ 1/6 x)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow y 2)))))
#s(approx (* (* y y) 1/120) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* 1/5040 (/ (pow y 7) x))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x)))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (* 1/5040 (/ 1 x)) (+ (* 1/6 (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 6)))))))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* 1/5040 (/ (pow y 4) x))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* (pow y 4) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) #s(hole binary64 (* (pow y 4) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x)))))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (* 1/120 (/ (pow y 2) x))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) #s(hole binary64 (* (pow y 2) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 (* 1/120 (pow y 2))))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(hole binary64 (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 1/5040 (/ 1 x)))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) #s(hole binary64 (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 4))) (+ (* 1/5040 (/ 1 x)) (/ 1/120 (* x (pow y 2)))))))))

Outputs
(.f64 (sin.f64 x) #s(approx (/ (sinh y) x) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) y (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))))))
(.f64 #s(approx (/ (sinh y) x) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) y (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))))) (sin.f64 x))
#s(approx (/ (sinh y) x) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) y (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x))))) (.f64 (.f64 (neg.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) y) (.f64 (neg.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x))) (.f64 (neg.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) y)))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y y)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))) (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))))) (-.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) y) (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x))))))
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(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (/.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (/.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))) (neg.f64 x)))
(+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)))
(+.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/120 binary64) (.f64 y y)) (.f64 #s(literal -1/120 binary64) (.f64 y y)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal -1/120 binary64) (.f64 y y)) (.f64 #s(literal -1/120 binary64) (.f64 y y)) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (.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))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 y y)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
(.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
#s(literal 1 binary64)
#s(literal 1/6 binary64)
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) y)
(.f64 y (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
#s(literal -1 binary64)
(sin.f64 x)
#s(approx (* (/ (sinh y) x) (sin x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 y)))) (.f64 x x) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/10080 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 y)) (.f64 #s(literal 1/240 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 y)))) (.f64 x x) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 y)))) (.f64 x x) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))))
#s(approx (/ (sinh y) x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 y)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (/.f64 (fma.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y) x))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (/.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) x))
#s(approx (* (* (/ (* y y) x) 1/5040) y) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/5040 binary64)))
#s(approx (* (/ (* y y) x) 1/5040) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)))
#s(approx (/ (* y y) x) (/.f64 (*.f64 y y) x))
#s(approx x x)
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))
#s(approx (* (pow x -1) y) (/.f64 y x))
#s(approx (pow x -1) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#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 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ (sinh y) x) (sin x)) (.f64 (.f64 (sin.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) #s(literal 1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) y)) x) #s(literal -1 binary64)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1 binary64))) x (.f64 x (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (* (/ (sinh y) x) (sin x)) (*.f64 y (/.f64 (sin.f64 x) x)))
#s(approx (* (/ (sinh y) x) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 y y) (/.f64 (sin.f64 x) x)) #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x)) y))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (/.f64 (sin.f64 x) x)) #s(literal 1/120 binary64) (.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (.f64 y y)) y (.f64 (/.f64 (sin.f64 x) x) y)))
#s(approx (* (/ (sinh y) x) (sin x)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) (/.f64 (sin.f64 x) x)) #s(literal 1/5040 binary64) (.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64))) (.f64 y y) (.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (.f64 y y)) y (.f64 (/.f64 (sin.f64 x) x) y)))
#s(approx (/ (sinh y) x) (/.f64 y x))
#s(approx (/ (sinh y) x) (.f64 (fma.f64 (/.f64 (.f64 y y) x) #s(literal 1/6 binary64) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) y))
#s(approx (/ (sinh y) x) (.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (*.f64 x x)))) y))
#s(approx (/ (sinh y) x) (.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/120 binary64) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64))) (.f64 y y) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 y y))) y))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (/.f64 y x))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (fma.f64 (/.f64 (.f64 y y) x) #s(literal 1/6 binary64) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) y))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (*.f64 x x)))) y))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/120 binary64) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64))) (.f64 y y) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 y y))) y))
#s(approx (* y (* y y)) (pow.f64 y #s(literal 3 binary64)))
#s(approx y y)
#s(approx (* y y) (*.f64 y y))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (fma.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/120 binary64) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64))) (.f64 y y) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 x x)))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) (/.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
#s(approx (* (* y y) 1/120) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (/.f64 (pow.f64 (.f64 y y) #s(literal 7/2 binary64)) x) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/120 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/5040 binary64))) (pow.f64 (.f64 y y) #s(literal 7/2 binary64))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (pow.f64 (.f64 y y) #s(literal 7/2 binary64))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1/120 binary64) y) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/5040 binary64) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y y) #s(literal 3 binary64))) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (pow.f64 (.f64 y y) #s(literal 7/2 binary64))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/120 binary64) (.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x)) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (pow.f64 y #s(literal 4 binary64))))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (.f64 (/.f64 (.f64 y y) x) #s(literal 1/120 binary64)))
#s(approx (/ (+ (* (* (* y y) 1/120) 1) 1/6) x) (.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))) (.f64 y y)))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* (* (* y y) 1/120) 1) 1/6) (.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (*.f64 y y)))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (.f64 y y) #s(literal 7/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))) y) (.f64 #s(literal -1/5040 binary64) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
#s(approx (+ (* (* y (* y y)) (+ (* (* (* (/ (* y y) x) 1/5040) y) y) (/ (+ (* (* (* y y) 1/120) 1) 1/6) x))) (* (pow x -1) y)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 (.f64 y y) #s(literal 7/2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/6 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) #s(literal 1/120 binary64) (.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/5040 binary64))))))

eval48.0ms (2%)

Memory: 13.1MiB live, 118.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 14 835 to 1 520 computations (89.8% saved)

prune151.0ms (6.4%)

Memory

-24.6MiB live, 316.3MiB allocated; 35ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	272	4	276

Accuracy

100.0%

Counts

276 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.8%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
✓	99.9%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	99.9%	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	92.7%	(.f64 #s(approx (/ (sinh y) x) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 (.f64 (/.f64 (.f64 y y) x) #s(literal 1/5040 binary64)) y) y (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal 1/6 binary64)) x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))) (sin.f64 x))

Compiler

Compiled 122 to 73 computations (40.2% saved)

regimes8.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.7%	1	`(sinh.f64 y)`
92.7%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
92.7%	1	`x`
92.7%	1	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify50.0ms (2.1%)

Memory

-19.6MiB live, 72.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	47
1	35	47
2	51	47
3	105	47
4	421	47
5	3096	47

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations95.0ms (4%)

Memory

-9.3MiB live, 85.5MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 47 to 27 computations (42.6% saved)

preprocess25.0ms (1.1%)

Memory: 3.8MiB live, 49.4MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 122 to 78 computations (36.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze21.0ms (0.9%)

sample940.0ms (40%)

explain97.0ms (4.1%)

preprocess267.0ms (11.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series13.0ms (0.5%)

rewrite178.0ms (7.6%)

eval6.0ms (0.3%)

prune18.0ms (0.8%)

series12.0ms (0.5%)

rewrite150.0ms (6.4%)

eval12.0ms (0.5%)

prune24.0ms (1%)

series45.0ms (1.9%)

rewrite188.0ms (8%)

eval48.0ms (2%)

prune151.0ms (6.4%)

regimes8.0ms (0.3%)

regimes4.0ms (0.2%)

simplify50.0ms (2.1%)

derivations95.0ms (4%)

preprocess25.0ms (1.1%)

end0.0ms (0%)

Profiling