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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.3%)

Memory

-2.0MiB live, 37.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
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 8 to 7 computations (12.5% saved)

sample1.2s (24%)

Memory

-181.9MiB live, 722.6MiB allocated

Samples

682.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 480.0ms

ival-sin: 317.0ms (66.1% of total)

ival-mult: 79.0ms (16.5% of total)

ival-div: 74.0ms (15.4% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain71.0ms (1.4%)

Memory

-5.5MiB live, 70.4MiB allocated

FPErrors

Click to see full error table

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

32.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 11.0ms (57.8% of total)

ival-div: 4.0ms (21% of total)

ival-mult: 3.0ms (15.8% of total)

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

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

preprocess56.0ms (1.1%)

Memory

-1.6MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	36	32
2	81	32
3	134	32
4	257	32
5	523	32
6	1188	32
7	2906	32
8	6152	32
0	5	6
0	8	6
1	11	6
2	13	6
3	15	6
4	16	6
0	16	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	11	14
2	13	14
3	15	14
4	16	14
0	16	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

25.3MiB live, 25.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.078125	(/.f64 (sin.f64 y) y)
accuracy	0.09765625	(*.f64 x (/.f64 (sin.f64 y) y))

Samples

15.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 6.0ms (65% of total)

ival-div: 2.0ms (21.7% of total)

ival-mult: 2.0ms (21.7% of total)

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

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

series20.0ms (0.4%)

Memory

-30.4MiB live, 9.1MiB allocated

Counts

3 → 15

Calls

Call 1

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

Outputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	x	@	0	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	y	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	y	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	x	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify221.0ms (4.4%)

Memory

11.6MiB live, 164.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	150
1	142	150
2	478	140
3	2043	138
4	4988	138
0	8032	124

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 13

Calls

Call 1

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

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

rewrite160.0ms (3.2%)

Memory

21.6MiB live, 182.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	14	12
2	37	12
3	145	12
4	841	12
0	8404	12

Stop Event

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

Counts

3 → 153

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (neg.f64 x) (.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 y (sin.f64 y)))
(/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (*.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (.f64 y (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (.f64 y (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y)))))))
(/.f64 (.f64 x (.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 x (.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (.f64 (neg.f64 y) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (.f64 (neg.f64 y) (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y)))))))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (.f64 (.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (.f64 (.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) y))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (neg.f64 y)))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y))))) (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) x (.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) x))
(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y) (neg.f64 x) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (neg.f64 x)))
(fma.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y) (.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(fma.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (/.f64 x y) (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (neg.f64 x) (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y) (.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(fma.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y) (.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)))
(fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y) (.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y)))
(fma.f64 x (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) (.f64 x (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)))
(+.f64 (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y)))
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y) (neg.f64 x)) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) x) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) x))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal 0 binary64) (cos.f64 y))) (.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal -1 binary64) (sin.f64 y))))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal -1 binary64) (sin.f64 y))) (.f64 (/.f64 (neg.f64 x) y) (.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (.f64 (/.f64 x y) (.f64 #s(literal 1 binary64) (sin.f64 y))) (.f64 (/.f64 x y) (.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y)) (.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (.f64 x (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) x) (neg.f64 y)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) x) (neg.f64 y)))
(+.f64 (/.f64 (.f64 x (.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (/.f64 (.f64 x (.f64 #s(literal 0 binary64) (cos.f64 y))) (neg.f64 y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y)) (.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y) (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y))) (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y))) (/.f64 (sin.f64 y) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y) (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) (-.f64 (.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y)) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y)))) (*.f64 y y))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) (cos.f64 y)))) (.f64 y y))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y))
(-.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) y))
(+.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y))
(+.f64 (/.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) y))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 #s(literal 1 binary64) (sin.f64 y))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (sin.f64 y))
(/.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (sin.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y))))))
(/.f64 (fma.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y))))) #s(literal 4 binary64))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y)))))))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(sin.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64))))
(sin.f64 (neg.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64))))
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (PI.f64) (neg.f64 y)))
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))))
(sin.f64 (-.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))
(sin.f64 y)
(-.f64 (.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(-.f64 (.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (sin.f64 y)))
(-.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y)))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 #s(literal -1 binary64) (sin.f64 y)))
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (-.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))
(cos.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(+.f64 (.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (.f64 #s(literal 1 binary64) (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y)))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) (.f64 #s(literal 1 binary64) (sin.f64 y)))

eval44.0ms (0.9%)

Memory: 4.3MiB live, 42.6MiB allocated
Compiler: Compiled 2 976 to 631 computations (78.8% saved)

prune36.0ms (0.7%)

Memory

-13.8MiB live, 23.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	157	10	167

Accuracy

100.0%

Counts

167 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
▶	71.9%	(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
▶	88.2%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
	62.8%	(.f64 x (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	52.0%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	52.5%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	52.0%	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
▶	51.9%	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 312 to 211 computations (32.4% saved)

simplify95.0ms (1.9%)

Memory

13.4MiB live, 132.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
cost-diff	2	(.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
cost-diff	6	(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(/.f64 (*.f64 (sin.f64 y) x) y)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	146
0	46	138
1	102	138
2	322	136
3	1393	136
4	3656	136
0	8503	136

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (2.2%)

Memory

-0.7MiB live, 120.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(*.f64 (sin.f64 y) y)
accuracy	0.234375	(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
accuracy	4.139991111129519	(.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
accuracy	17.562122443685528	(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(sin.f64 y)
accuracy	7.870023409302187	(*.f64 (/.f64 x y) (sin.f64 y))
accuracy	0.06640625	(*.f64 #s(literal 1/120 binary64) y)
accuracy	0.08984375	(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
accuracy	1.893829297641601	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy	30.74143505264032	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy	0.09765625	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	30.627306204563062	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 y)
accuracy	0.09375	(*.f64 (sin.f64 y) x)
accuracy	7.510958922363516	(/.f64 (*.f64 (sin.f64 y) x) y)

Samples

86.0ms

256×

valid

Compiler

Compiled 281 to 54 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 26.0ms (37% of total)

ival-div: 24.0ms (34.2% of total)

ival-sin: 10.0ms (14.2% of total)

const: 6.0ms (8.5% of total)

ival-add: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory

-20.5MiB live, 52.2MiB allocated

Counts

17 → 48

Calls

Call 1

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

Outputs
(/ (* x (sin y)) y)
(* x (sin y))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(/ x y)
(* x (pow (sin y) 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 y)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* -1 (pow (sin y) 2))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* y (sin y))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (+ (* (* 1/120 y) y) -1/6) (* 1/120 y) (* (sin y) y))
6.0ms	x	@	inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (+ (* (* 1/120 y) y) -1/6) (* 1/120 y) (* (sin y) y))
3.0ms	y	@	inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (+ (* (* 1/120 y) y) -1/6) (* 1/120 y) (* (sin y) y))
3.0ms	x	@	0	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (+ (* (* 1/120 y) y) -1/6) (* 1/120 y) (* (sin y) y))
3.0ms	x	@	-inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (+ (* (* 1/120 y) y) -1/6) (* 1/120 y) (* (sin y) y))

simplify240.0ms (4.8%)

Memory

17.2MiB live, 231.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	525
1	397	525
2	1381	499
3	4107	491
4	7970	491
0	8006	455

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(* x (sin y))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(/ x y)
(* x (pow (sin y) 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 y)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* -1 (pow (sin y) 2))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* y (sin y))

Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(/ x y)
(/.f64 x y)
(* x (pow (sin y) 2))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (.f64 x y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) y) y #s(literal 1 binary64)) (.f64 (.f64 y y) x))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64))) (.f64 y y) x) (*.f64 y y))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -1/315 binary64) (.f64 y y) #s(literal 2/45 binary64))) (fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) x) x)) (.f64 y y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) y) y (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64)) #s(literal 1 binary64))) (.f64 y y))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/315 binary64) y) y) #s(literal 2/45 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) #s(literal 1 binary64))) (.f64 y y))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* 1/120 (* x (pow y 4)))
(.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(.f64 (.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 (.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)) x)
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1 (pow (sin y) 2))
(neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* 1/120 (pow y 2))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) y) y)
(* y (sin y))
(*.f64 (sin.f64 y) y)

rewrite195.0ms (3.9%)

Memory

-10.3MiB live, 215.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	124
0	46	116
1	138	114
2	840	112
0	8378	112

Stop Event

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

Counts

17 → 802

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) x)
(.f64 (.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 (sin.f64 y))) (sin.f64 y))
(.f64 (.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (sin.f64 y)) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (sin.f64 y)) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y) (/.f64 (neg.f64 x) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y)))
(.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (.f64 x (sin.f64 y)) (neg.f64 (sin.f64 y))))
(.f64 (.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(.f64 (.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) (sin.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))))
(.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(.f64 (.f64 x (sin.f64 y)) (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) y)))
(.f64 (/.f64 (neg.f64 x) y) (.f64 (sin.f64 y) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) y)))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (sin.f64 y) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 x y) (.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 y) y) x))
(.f64 (/.f64 (sin.f64 y) y) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 x (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (neg.f64 y) (sin.f64 y))))
(.f64 x (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) x) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 x)) (sin.f64 y))
(/.f64 (.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 x (sin.f64 y))) (sin.f64 y))
(/.f64 (.f64 x (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (.f64 x (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (.f64 x (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (.f64 x (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 x)) y) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x y))) (neg.f64 (sin.f64 y)))
(/.f64 (.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 x) (sin.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y))) x) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (/.f64 (neg.f64 x) (sin.f64 y))) (.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (/.f64 (neg.f64 x) y)) (.f64 #s(literal 2 binary64) (sin.f64 y)))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (neg.f64 x) (sin.f64 y))) (.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) x) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (neg.f64 x) y)) (.f64 #s(literal 2 binary64) (sin.f64 y)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (neg.f64 x) (sin.f64 y))) (.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) x) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (neg.f64 x) y)) (.f64 #s(literal 2 binary64) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 y) y)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (neg.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) y)))
(/.f64 (.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (neg.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) y)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (neg.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) y)))
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(*.f64 #s(literal 1/120 binary64) y)
(*.f64 y #s(literal 1/120 binary64))
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(*.f64 (sin.f64 y) y)
(*.f64 y (sin.f64 y))
(neg.f64 (*.f64 (neg.f64 y) (sin.f64 y)))

eval127.0ms (2.5%)

Memory: 13.1MiB live, 179.2MiB allocated
Compiler: Compiled 19 126 to 2 367 computations (87.6% saved)

prune49.0ms (1%)

Memory

-25.1MiB live, 73.4MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	708	7	715
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	711	14	725

Accuracy

100.0%

Counts

725 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.6%	(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)) y)
	50.9%	(/.f64 (/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y))) x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) y))
▶	71.9%	(/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (sin.f64 y) y))
✓	88.2%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	40.8%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	87.2%	(.f64 (.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
	62.8%	(.f64 x (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	52.0%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	52.5%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	52.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
▶	52.0%	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
	52.0%	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 x y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y x))

Compiler

Compiled 324 to 232 computations (28.4% saved)

simplify216.0ms (4.3%)

Memory

-5.9MiB live, 223.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
cost-diff	5	(/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (sin.f64 y) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* (sin y) x) (*.f64 x y))
cost-diff	0	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(.f64 (.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
cost-diff	2	(*.f64 x (/.f64 #s(literal 1 binary64) y))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	189
0	54	186
1	107	180
2	304	180
3	1515	180
4	5585	180
0	8208	180

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (2.5%)

Memory

24.2MiB live, 146.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(*.f64 (sin.f64 y) y)
accuracy	0.234375	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	4.139991111129519	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
accuracy	17.562122443685528	(/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (sin.f64 y) y))
accuracy	0.0703125	(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y)
accuracy	0.26760613130503835	(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	6.457284448794943	(.f64 (.f64 y y) x)
accuracy	30.720894947576397	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
accuracy	0.0	(*.f64 x y)
accuracy	7.510958922363516	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
accuracy	30.653615791903206	#s(approx (* (sin y) x) (*.f64 x y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0859375	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy	6.457284448794943	(.f64 (.f64 y y) x)
accuracy	30.69459037336418	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.0	(sin.f64 y)
accuracy	0.4475475772713235	(*.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy	7.870023409302187	(.f64 (.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))

Samples

102.0ms

256×

valid

Compiler

Compiled 352 to 65 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 39.0ms (45.8% of total)

const: 25.0ms (29.3% of total)

ival-div: 7.0ms (8.2% of total)

ival-sin: 6.0ms (7% of total)

ival-add: 5.0ms (5.9% of total)

ival-pow2: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.7%)

Memory

-1.4MiB live, 35.2MiB allocated

Counts

19 → 50

Calls

Call 1

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

Outputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (pow (sin y) 2))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(pow y 2)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(pow (sin y) 2)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* y (sin y))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (/ (* (pow (sin y) 2) x) (* (sin y) y)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y) (* (sin y) y))
4.0ms	x	@	-inf	((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (/ (* (pow (sin y) 2) x) (* (sin y) y)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y) (* (sin y) y))
3.0ms	x	@	0	((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (/ (* (pow (sin y) 2) x) (* (sin y) y)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y) (* (sin y) y))
3.0ms	y	@	-inf	((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (/ (* (pow (sin y) 2) x) (* (sin y) y)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y) (* (sin y) y))
3.0ms	y	@	inf	((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (/ (* (pow (sin y) 2) x) (* (sin y) y)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y) (* (sin y) y))

simplify173.0ms (3.5%)

Memory

16.4MiB live, 165.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	580
1	473	568
2	1611	544
3	4637	539
0	8081	501

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 48

Calls

Call 1

Inputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (pow (sin y) 2))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(pow y 2)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(pow (sin y) 2)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* y (sin y))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))

Outputs
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 y x)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) (.f64 (.f64 y y) x) x)
(* x (pow (sin y) 2))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (neg.f64 y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) y) #s(literal 1 binary64)))
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) y)
(pow y 2)
(*.f64 y y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y x))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) x) x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64))) (.f64 y y) x) (*.f64 y y))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -1/315 binary64) (.f64 y y) #s(literal 2/45 binary64))) (fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) x) x)) (.f64 y y))
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 y y)) #s(literal 1/3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 y y)) #s(literal 1/3 binary64))) (*.f64 y y))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y))
(sin y)
(sin.f64 y)
(* -1/6 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/5040 (* x (pow y 6)))
(.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal -1/5040 binary64))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(.f64 (.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(.f64 (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(.f64 (fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(pow (sin y) 2)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(* -1/5040 (pow y 2))
(.f64 #s(literal -1/5040 binary64) (.f64 y y))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) y) y)
(* -1/5040 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)))
(* y (sin y))
(*.f64 (sin.f64 y) y)
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal -1/5040 binary64)) (pow.f64 y #s(literal 3 binary64)))

rewrite303.0ms (6.1%)

Memory

-19.4MiB live, 343.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	152
0	54	149
1	179	143
2	1014	143
0	9305	143

Stop Event

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

Counts

19 → 518

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (neg.f64 (sin.f64 y))) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (sin.f64 y)) (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 y))) (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) y) (/.f64 x (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 x (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) y))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y)))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (sin.f64 y)) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(.f64 (/.f64 x (.f64 (sin.f64 y) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (.f64 (sin.f64 y) y)))
(.f64 (/.f64 (sin.f64 y) y) (/.f64 (.f64 (sin.f64 y) x) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (/.f64 (.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(.f64 (.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (sin.f64 y) (.f64 (sin.f64 y) (/.f64 x (*.f64 (sin.f64 y) y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (sin.f64 y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 y) x) y))
(.f64 x (.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) y)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x y))) (neg.f64 (sin.f64 y)))
(/.f64 (.f64 (/.f64 x (sin.f64 y)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (.f64 (neg.f64 (sin.f64 y)) y) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 x y) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 x (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 x (sin.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 (sin.f64 y)) y)))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y))) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))
(/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y))) x) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) y) (sin.f64 y))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x y)) (sin.f64 y))
(/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(neg.f64 (.f64 (.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (sin.f64 y) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (.f64 (sin.f64 y) y)) (.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (*.f64 (sin.f64 y) y))))
(fma.f64 (/.f64 x (.f64 (sin.f64 y) y)) (cosh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (sinh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (.f64 (sin.f64 y) y))) (.f64 (sinh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (.f64 (sin.f64 y) y))))
(+.f64 (.f64 (/.f64 x (.f64 (sin.f64 y) y)) (cosh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (.f64 (/.f64 x (.f64 (sin.f64 y) y)) (sinh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))) (/.f64 (neg.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y))))
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(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64))) (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) y)) (neg.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) y)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 y (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) y) (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 1/120 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))
(/.f64 (.f64 y (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 1/120 binary64)))
(/.f64 (.f64 y (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 #s(literal 1/5040 binary64) y) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 #s(literal 1/5040 binary64) y) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y))))) y (.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y))))) y))
(fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 y y)) (neg.f64 y) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 y y)) (neg.f64 y) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 #s(literal -1/5040 binary64) y) (.f64 y y) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (.f64 #s(literal -1/5040 binary64) y) (.f64 y y) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) y (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) y (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)))
(fma.f64 (.f64 y y) (.f64 #s(literal -1/5040 binary64) y) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (.f64 y y) (.f64 #s(literal -1/5040 binary64) y) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 y (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y))))) (.f64 y (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y)))))))
(fma.f64 y (.f64 #s(literal -1/5040 binary64) (.f64 y y)) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 y (.f64 #s(literal -1/5040 binary64) (.f64 y y)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 y #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)))
(-.f64 (.f64 #s(literal 1/120 binary64) y) (.f64 (.f64 #s(literal 1/5040 binary64) (.f64 y y)) y))
(-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (.f64 #s(literal -1/120 binary64) y))
(-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (.f64 (neg.f64 y) #s(literal 1/120 binary64)))
(-.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 (neg.f64 y) (.f64 #s(literal -1/5040 binary64) (.f64 y y))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y))))) y) (.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y))))) y))
(+.f64 (.f64 y (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y)))))) (.f64 y (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))))
(+.f64 (.f64 #s(literal 1/120 binary64) y) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)))
(+.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (.f64 #s(literal 1/120 binary64) y))
(+.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (.f64 y #s(literal 1/120 binary64)))
(+.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64)))
(.f64 (.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) y)
(*.f64 y (sin.f64 y))
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y))

eval80.0ms (1.6%)

Memory: 17.5MiB live, 138.4MiB allocated
Compiler: Compiled 18 004 to 2 216 computations (87.7% saved)

prune24.0ms (0.5%)

Memory

-38.4MiB live, 47.3MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	612	10	622
Fresh	3	2	5
Picked	3	2	5
Done	0	4	4
Total	618	18	636

Accuracy

100.0%

Counts

636 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) x) (.f64 (sin.f64 y) y))
	20.4%	(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) x) (.f64 (sin.f64 y) y))
✓	88.2%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	40.8%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
	62.1%	(.f64 (.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
▶	87.0%	(.f64 (.f64 x (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 y))
✓	87.2%	(.f64 (.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
	62.8%	(.f64 x (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	52.5%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	52.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x x))
	52.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/6 binary64) x))
▶	52.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) x) y x))
	52.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y x)) y x))
▶	3.1%	#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
	52.0%	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 x y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y x))
▶	52.0%	#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x))

Compiler

Compiled 452 to 322 computations (28.8% saved)

simplify251.0ms (5%)

Memory

5.7MiB live, 206.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x x)
cost-diff	0	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x x))
cost-diff	0	(*.f64 #s(literal -1/6 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -1/6 binary64) y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) x) y x)
cost-diff	0	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) x) y x))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
cost-diff	0	(pow.f64 y #s(literal -1/2 binary64))
cost-diff	0	(.f64 (.f64 x (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 y))
cost-diff	2	(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	2	(*.f64 x (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	264
0	66	264
1	120	256
2	294	256
3	912	252
4	2598	252
5	6449	252
0	8501	252

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (3.3%)

Memory

17.0MiB live, 138.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y)
accuracy	0.26760613130503835	(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	1.2023595495421608	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x)
accuracy	30.720894947576397	#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x))
accuracy	0.0	(*.f64 y y)
accuracy	0.3856786923642125	(.f64 (.f64 y y) #s(literal -1/6 binary64))
accuracy	2.4388594640971673	(fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x x)
accuracy	30.69459037336418	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x x))
accuracy	0.0546875	(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) x) y x)
accuracy	0.15234375	(.f64 (.f64 #s(literal -1/6 binary64) y) x)
accuracy	0.33984375	(*.f64 #s(literal -1/6 binary64) y)
accuracy	30.69459037336418	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) x) y x))
accuracy	0.19140625	(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
accuracy	6.457284448794943	(.f64 (.f64 y y) x)
accuracy	30.69459037336418	#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
accuracy	31.730730627055316	#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
accuracy	0.0	(sin.f64 y)
accuracy	0.4475475772713235	(*.f64 x (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.49056625976844204	(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	7.870023409302187	(.f64 (.f64 x (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 y))

Samples

142.0ms

256×

valid

Compiler

Compiled 481 to 81 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 66.0ms (55.5% of total)

const: 27.0ms (22.7% of total)

ival-add: 7.0ms (5.9% of total)

ival-pow: 7.0ms (5.9% of total)

ival-sin: 6.0ms (5% of total)

ival-div: 3.0ms (2.5% of total)

ival-pow2: 3.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory

6.7MiB live, 42.5MiB allocated

Counts

22 → 50

Calls

Call 1

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

Outputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* -1/6 (* x y))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(/ 1 y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(sqrt (/ 1 y))
(* -1/6 y)
(* -1/6 (pow y 2))
(pow y 2)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* y (- (* 1/120 (pow y 2)) 1/6))
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 5))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (/ (pow (sqrt -1) 2) y))
(* -1 (/ (* x (* (sin y) (pow (sqrt -1) 2))) y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((* x (pow (pow y -1/2) 2)) (pow (pow y -1/2) 2) (* (* x (pow (pow y -1/2) 2)) (sin y)) (pow y -1/2) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y y) -1/6) x) x) (* (* y y) -1/6) (* y y) (* x (/ (sin y) y)) (* (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) x) (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
5.0ms	y	@	-inf	((* x (pow (pow y -1/2) 2)) (pow (pow y -1/2) 2) (* (* x (pow (pow y -1/2) 2)) (sin y)) (pow y -1/2) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y y) -1/6) x) x) (* (* y y) -1/6) (* y y) (* x (/ (sin y) y)) (* (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) x) (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
3.0ms	y	@	inf	((* x (pow (pow y -1/2) 2)) (pow (pow y -1/2) 2) (* (* x (pow (pow y -1/2) 2)) (sin y)) (pow y -1/2) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y y) -1/6) x) x) (* (* y y) -1/6) (* y y) (* x (/ (sin y) y)) (* (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) x) (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
3.0ms	x	@	0	((* x (pow (pow y -1/2) 2)) (pow (pow y -1/2) 2) (* (* x (pow (pow y -1/2) 2)) (sin y)) (pow y -1/2) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y y) -1/6) x) x) (* (* y y) -1/6) (* y y) (* x (/ (sin y) y)) (* (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) x) (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
3.0ms	x	@	inf	((* x (pow (pow y -1/2) 2)) (pow (pow y -1/2) 2) (* (* x (pow (pow y -1/2) 2)) (sin y)) (pow y -1/2) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y y) -1/6) x) x) (* (* y y) -1/6) (* y y) (* x (/ (sin y) y)) (* (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) x) (+ (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) y) 1) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) y) (sin y) (+ (* -1/5040 (* y y)) 1/120))

simplify163.0ms (3.2%)

Memory

8.7MiB live, 197.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	495
1	333	492
2	1046	477
3	4325	471
0	8386	449

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 48

Calls

Call 1

Inputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* -1/6 (* x y))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(/ 1 y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(sqrt (/ 1 y))
(* -1/6 y)
(* -1/6 (pow y 2))
(pow y 2)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* y (- (* 1/120 (pow y 2)) 1/6))
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 5))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (/ (pow (sqrt -1) 2) y))
(* -1 (/ (* x (* (sin y) (pow (sqrt -1) 2))) y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))

Outputs
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y x) #s(literal -1/6 binary64)) y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* -1/6 (* x y))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(pow y 2)
(*.f64 y y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* y (- (* 1/120 (pow y 2)) 1/6))
(.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) y)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)
(* -1/5040 (* x (pow y 6)))
(.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64)) x)
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(.f64 (.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(.f64 (.f64 x (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(.f64 (fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) #s(literal 1/5040 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* -1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* -1/5040 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/5040 binary64))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(sin y)
(sin.f64 y)
(* -1/5040 (pow y 2))
(.f64 #s(literal -1/5040 binary64) (.f64 y y))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) y) y)
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (/ (pow (sqrt -1) 2) y))
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (* x (* (sin y) (pow (sqrt -1) 2))) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal -1/5040 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (pow.f64 y #s(literal 5 binary64)))

rewrite264.0ms (5.3%)

Memory

-0.5MiB live, 327.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	220
0	66	214
1	215	212
2	1286	212
0	8649	212

Stop Event

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

Counts

22 → 426

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(.f64 (.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(fma.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))
(fma.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) x (.f64 (sinh.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) x))
(fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(fma.f64 x (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (.f64 x (sinh.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) x) (.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) x))
(+.f64 (.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))) (.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))) (.f64 x (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))))
(.f64 (.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -3/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))) (.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))))) (-.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (-.f64 (.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))) (.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) (.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))
(fabs.f64 (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))))
(+.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 y) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
(.f64 (.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (sin.f64 y) (.f64 (pow.f64 y #s(literal -1 binary64)) x))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) x) (sin.f64 y))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (sin.f64 y) x))
(.f64 x (.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (.f64 (sin.f64 y) x) (.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (*.f64 (sin.f64 y) x)))
(fma.f64 (.f64 (sin.f64 y) x) (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (.f64 (.f64 (sin.f64 y) x) (sinh.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (.f64 (sin.f64 y) x)) (.f64 (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y))) (.f64 (sin.f64 y) x)))
(+.f64 (.f64 (.f64 (sin.f64 y) x) (cosh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))) (.f64 (.f64 (sin.f64 y) x) (sinh.f64 (.f64 #s(literal -1 binary64) (log.f64 y)))))
(.f64 (.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal -1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)))))))
(neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 y #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64))))
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (neg.f64 y) x) (*.f64 #s(literal 1/6 binary64) y))
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(fma.f64 y (*.f64 #s(literal -1/5040 binary64) y) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 y y)))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
(-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 y y)))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (-.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (.f64 #s(literal -1/604800 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (.f64 #s(literal -1/604800 binary64) (.f64 y y)))) (/.f64 #s(literal 1/1728000 binary64) (-.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y))))) (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y))))))
(+.f64 (/.f64 (.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (.f64 y y))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/604800 binary64) (*.f64 y y))))))
(+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/5040 binary64) y)) y))
(+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 y y)))

eval68.0ms (1.4%)

Memory: -26.1MiB live, 92.5MiB allocated
Compiler: Compiled 15 157 to 1 982 computations (86.9% saved)

prune22.0ms (0.4%)

Memory

12.8MiB live, 51.6MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	439	3	442
Fresh	2	5	7
Picked	1	4	5
Done	0	6	6
Total	442	18	460

Accuracy

100.0%

Counts

460 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) x) (.f64 (sin.f64 y) y))
✓	88.2%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	40.8%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
	62.1%	(.f64 (.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	99.3%	(.f64 (.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
✓	87.0%	(.f64 (.f64 x (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 y))
✓	87.2%	(.f64 (.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
	62.8%	(.f64 x (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	52.5%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
✓	52.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x x))
	52.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/6 binary64) x))
✓	3.1%	#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
	3.1%	#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y x) (*.f64 #s(literal -1/6 binary64) y))))
	3.1%	#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) #s(approx (* (* (* y y) x) -1/6) (.f64 (.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))))
	52.0%	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 x y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y x))
✓	52.0%	#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x))

Compiler

Compiled 741 to 331 computations (55.3% saved)

regimes49.0ms (1%)

Memory

10.7MiB live, 49.0MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) #s(approx (* (* (* y y) x) -1/6) (.f64 (.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y x) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y x)) y x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 x y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y x))
#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(.f64 (.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
(.f64 (.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) x)
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) x) (.f64 (sin.f64 y) y))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 x (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (.f64 (neg.f64 y) (.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) x) (.f64 (sin.f64 y) y))
(.f64 (.f64 x (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 y))
(/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)) y)
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(/.f64 (/.f64 (.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y))) x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) y))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (cos.f64 y))))) y))

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

Calls

4 calls:

24.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
8.0ms	y
8.0ms	x
8.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.8%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes35.0ms (0.7%)

Memory

-32.4MiB live, 16.8MiB allocated

Accuracy

Total -32.0b remaining (-105.2%)

Threshold costs -32b (-105.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	x
4.0ms	y
4.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
52.5%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify9.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness219.0ms (4.4%)

Memory

-5.3MiB live, 105.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	150
1	142	150
2	478	140
3	2043	138
4	4988	138
0	8032	124

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 17 to 14 computations (17.6% saved)

preprocess86.0ms (1.7%)

Memory

22.3MiB live, 69.6MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 88 to 70 computations (20.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.3%)

sample1.2s (24%)

explain71.0ms (1.4%)

preprocess56.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.4%)

series20.0ms (0.4%)

simplify221.0ms (4.4%)

rewrite160.0ms (3.2%)

eval44.0ms (0.9%)

prune36.0ms (0.7%)

simplify95.0ms (1.9%)

localize110.0ms (2.2%)

series26.0ms (0.5%)

simplify240.0ms (4.8%)

rewrite195.0ms (3.9%)

eval127.0ms (2.5%)

prune49.0ms (1%)

simplify216.0ms (4.3%)

localize126.0ms (2.5%)

series38.0ms (0.7%)

simplify173.0ms (3.5%)

rewrite303.0ms (6.1%)

eval80.0ms (1.6%)

prune24.0ms (0.5%)

simplify251.0ms (5%)

localize166.0ms (3.3%)

series24.0ms (0.5%)

simplify163.0ms (3.2%)

rewrite264.0ms (5.3%)

eval68.0ms (1.4%)

prune22.0ms (0.4%)

regimes49.0ms (1%)

regimes35.0ms (0.7%)

simplify9.0ms (0.2%)

soundness219.0ms (4.4%)

preprocess86.0ms (1.7%)

end0.0ms (0%)

Profiling