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

start0.0ms (0%)

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

analyze21.0ms (1.1%)

Memory

-19.3MiB live, 27.2MiB allocated; 5ms 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)

sample943.0ms (47%)

Memory

31.8MiB live, 1 670.5MiB allocated; 196ms collecting garbage

Samples

714.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 453.0ms

ival-sin: 254.0ms (56.1% of total)

ival-div!: 81.0ms (17.9% of total)

ival-sinh: 78.0ms (17.2% of total)

ival-mult!: 38.0ms (8.4% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain96.0ms (4.8%)

Memory

-8.4MiB live, 221.9MiB allocated; 29ms 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

55.0ms

512×

valid

Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 19.0ms (46.4% of total)

ival-sinh: 16.0ms (39% of total)

ival-div!: 3.0ms (7.3% of total)

ival-mult!: 2.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

preprocess29.0ms (1.4%)

Memory

-17.4MiB live, 29.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	54	46
2	151	46
3	378	46
4	1577	46

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series13.0ms (0.6%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms 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)
2.0ms	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)
2.0ms	y	@	0	((* (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)

rewrite178.0ms (8.8%)

Memory

-22.5MiB live, 214.6MiB allocated; 26ms 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)))

eval5.0ms (0.2%)

Memory: 11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 694 to 188 computations (72.9% saved)

prune2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Accuracy

100.0%

Counts

43 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
▶	64.5%	(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
▶	51.1%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series7.0ms (0.4%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

10 → 44

Calls

Call 1

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

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

rewrite151.0ms (7.5%)

Memory

-40.2MiB live, 203.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1116
0	180	1081
1	894	926
0	8309	876

Stop Event

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

Counts

54 → 81

Calls

Call 1

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

eval10.0ms (0.5%)

Memory: 23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 333 to 274 computations (79.4% saved)

prune3.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	77	5	82

Accuracy

100.0%

Counts

82 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
▶	39.6%	(/.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)) y)
✓	64.5%	(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
▶	28.4%	(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
✓	51.1%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))

Compiler

Compiled 46 to 37 computations (19.6% saved)

series9.0ms (0.4%)

Memory

-33.3MiB live, 15.4MiB allocated; 4ms collecting garbage

Counts

10 → 44

Calls

Call 1

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

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 (/ (* (sinh y) (sin x)) y) #s(hole binary64 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (/ (* (sinh y) (sin x)) 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 (/ (* (sinh y) (sin x)) 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 (/ (* (sinh y) (sin x)) 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 (* (sinh y) (sin x)) #s(hole binary64 (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))))
#s(approx (* (sinh y) (sin x)) #s(hole binary64 (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))))
#s(approx (* (sinh y) (sin x)) #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 (* (sinh y) (sin x)) #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) (/ (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 (/ (* (sinh y) (sin x)) y) #s(hole binary64 (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))))
#s(approx (* (sinh y) (sin x)) #s(hole binary64 (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))))
#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) (sin x)) y) #s(hole binary64 (sin x)))
#s(approx (/ (* (sinh y) (sin x)) y) #s(hole binary64 (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))))
#s(approx (/ (* (sinh y) (sin x)) y) #s(hole binary64 (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))))
#s(approx (/ (* (sinh y) (sin x)) 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) (sin x)) #s(hole binary64 (* y (sin x))))
#s(approx (* (sinh y) (sin x)) #s(hole binary64 (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))))
#s(approx (* (sinh y) (sin x)) #s(hole binary64 (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (sinh y) (sin x)) #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) 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
2.0ms	y	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) 1 (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) y (sin x))
1.0ms	y	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) 1 (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) y (sin x))
1.0ms	x	@	-inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) 1 (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) y (sin x))
1.0ms	x	@	inf	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) 1 (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) y (sin x))
0.0ms	x	@	0	((* (sin x) (/ (sinh y) y)) (sin x) x (/ (sinh y) y) 1 (/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) y (sin x))

rewrite137.0ms (6.8%)

Memory

46.8MiB live, 233.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	1117
0	173	1082
1	889	927
0	8317	877

Stop Event

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

Counts

54 → 63

Calls

Call 1

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

eval6.0ms (0.3%)

Memory: -34.2MiB live, 12.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 805 to 174 computations (78.4% saved)

prune2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	41	6	47

Accuracy

100.0%

Counts

47 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
✓	39.6%	(/.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)) y)
▶	50.9%	(*.f64 (/.f64 (sin.f64 x) y) #s(approx (sinh y) y))
✓	64.5%	(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
✓	28.4%	(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
✓	51.1%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))

Compiler

Compiled 55 to 44 computations (20% saved)

series7.0ms (0.4%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

6 → 26

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite258.0ms (12.8%)

Memory

-26.2MiB live, 212.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	557
0	149	539
1	828	496
0	7867	466

Stop Event

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

Counts

32 → 42

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 654 to 159 computations (75.7% saved)

prune3.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	35	7	42

Accuracy

100.0%

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
✓	39.6%	(/.f64 (*.f64 #s(approx (sinh y) y) (sin.f64 x)) y)
✓	50.9%	(*.f64 (/.f64 (sin.f64 x) y) #s(approx (sinh y) y))
	28.2%	(*.f64 (/.f64 #s(approx (sin x) x) y) #s(approx (sinh y) y))
✓	64.5%	(*.f64 #s(approx (sin x) x) (/.f64 (sinh.f64 y) y))
✓	28.4%	(*.f64 #s(approx (sin x) x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
✓	51.1%	#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))

Compiler

Compiled 139 to 77 computations (44.6% saved)

regimes18.0ms (0.9%)

Memory

-21.7MiB live, 33.1MiB allocated; 5ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(sin.f64 x)
4.0ms	(/.f64 (sinh.f64 y) y)
3.0ms	x
3.0ms	y
2.0ms	(*.f64 (sin.f64 x) (/.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)

regimes11.0ms (0.5%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.2%	2	`(/.f64 (sinh.f64 y) y)`
76.9%	2	`(sin.f64 x)`
87.6%	2	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
74.0%	2	`x`
87.2%	3	`y`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.4%)

Memory

-25.5MiB live, 21.8MiB allocated; 2ms collecting garbage

Accuracy

Total -14.9b remaining (-47.4%)

Threshold costs -14.9b (-47.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(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
51.1%	1	`x`
51.1%	1	`(sin.f64 x)`
51.1%	1	`y`
51.1%	1	`(/.f64 (sinh.f64 y) y)`
51.1%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5627365678810947e+53	+inf

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations43.0ms (2.2%)

Memory

38.0MiB live, 84.4MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 46 to 16 computations (65.2% saved)

preprocess42.0ms (2.1%)

Memory: -43.3MiB live, 99.4MiB allocated; 21ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 198 to 104 computations (47.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze21.0ms (1.1%)

sample943.0ms (47%)

explain96.0ms (4.8%)

preprocess29.0ms (1.4%)

series13.0ms (0.6%)

rewrite178.0ms (8.8%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series7.0ms (0.4%)

rewrite151.0ms (7.5%)

eval10.0ms (0.5%)

prune3.0ms (0.2%)

series9.0ms (0.4%)

rewrite137.0ms (6.8%)

eval6.0ms (0.3%)

prune2.0ms (0.1%)

series7.0ms (0.4%)

rewrite258.0ms (12.8%)

eval4.0ms (0.2%)

prune3.0ms (0.2%)

regimes18.0ms (0.9%)

regimes11.0ms (0.5%)

regimes9.0ms (0.4%)

bsearch0.0ms (0%)

derivations43.0ms (2.2%)

preprocess42.0ms (2.1%)

end0.0ms (0%)

Profiling