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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB 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)

sample909.0ms (12.8%)

Memory

19.3MiB live, 1 247.0MiB allocated

Samples

638.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-sin: 242.0ms (58.2% of total)

ival-div: 95.0ms (22.8% of total)

ival-mult: 69.0ms (16.6% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain124.0ms (1.7%)

Memory

-24.9MiB live, 88.2MiB 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

46.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 11.0ms (60.7% of total)

ival-div: 4.0ms (22.1% of total)

ival-mult: 3.0ms (16.6% of total)

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

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

preprocess49.0ms (0.7%)

Memory

13.9MiB live, 50.0MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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

localize31.0ms (0.4%)

Memory

-29.3MiB live, 24.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.0703125	(*.f64 x (/.f64 (sin.f64 y) y))
accuracy	0.11328125	(/.f64 (sin.f64 y) y)

Samples

27.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 6.0ms (61.2% of total)

ival-div: 2.0ms (20.4% of total)

ival-mult: 2.0ms (20.4% of total)

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

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

series6.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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
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))
1.0ms	x	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify211.0ms (3%)

Memory

31.9MiB live, 190.3MiB 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)

rewrite195.0ms (2.7%)

Memory

-15.5MiB live, 213.0MiB 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)))

eval20.0ms (0.3%)

Memory: 22.2MiB live, 22.2MiB allocated
Compiler: Compiled 2 976 to 631 computations (78.8% saved)

prune23.0ms (0.3%)

Memory

-18.5MiB live, 19.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	9	167

Accuracy

100.0%

Counts

167 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(/.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))
▶	89.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	84.8%	(*.f64 (/.f64 x y) (sin.f64 y))
	46.4%	(.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y))) y))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
	57.5%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	57.8%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	57.6%	#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))
▶	57.6%	#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 272 to 189 computations (30.5% saved)

simplify101.0ms (1.4%)

Memory

-8.9MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	2	(.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))
cost-diff	3	(*.f64 #s(literal 0 binary64) (cos.f64 y))
cost-diff	4	(.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
cost-diff	7	(/.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))
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	41	292
0	71	176
1	161	164
2	475	162
3	1906	162
4	6810	162
0	8055	162

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 (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 (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))
(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)))
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(sin.f64 y)
y
#s(literal 3 binary64)
#s(literal -1 binary64)
(pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))
(*.f64 #s(literal 0 binary64) (cos.f64 y))
#s(literal 0 binary64)
(cos.f64 y)
(neg.f64 x)
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 (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)))))
(pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
#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))))
(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 #s(literal -1 binary64) (sin.f64 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 (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 (sin.f64 y) y) x)
(.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 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) 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)))
(neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(sin.f64 y)
y
#s(literal 3 binary64)
#s(literal -1 binary64)
(pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal 0 binary64) (cos.f64 y))
#s(literal 0 binary64)
#s(literal 0 binary64)
(cos.f64 y)
(neg.f64 x)
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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) 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)))))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
#s(literal 1 binary64)
#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))))
#s(literal 0 binary64)
(pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64))
#s(literal 0 binary64)
(.f64 (.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(neg.f64 (sin.f64 y))

localize272.0ms (3.8%)

Memory

-3.9MiB live, 223.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64))
accuracy	0.2985726074528622	(pow.f64 (sin.f64 y) #s(literal 3 binary64))
accuracy	4.49532080573543	(.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))
accuracy	25.412042675023162	(/.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))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(sin.f64 y)
accuracy	9.705641948238064	(*.f64 (/.f64 x y) (sin.f64 y))
accuracy	0.08984375	(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
accuracy	0.1015625	(*.f64 #s(literal 1/120 binary64) y)
accuracy	2.3324483225815205	(.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	27.149560271228346	#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	0.0703125	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	27.223202693385026	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 y)
accuracy	0.09375	(*.f64 (sin.f64 y) x)
accuracy	7.024874375355956	(/.f64 (*.f64 (sin.f64 y) x) y)

Samples

246.0ms

256×

valid

Compiler

Compiled 284 to 42 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 79.0ms (54.8% of total)

ival-pow: 30.0ms (20.8% of total)

ival-div: 6.0ms (4.2% of total)

ival-sin: 6.0ms (4.2% of total)

const: 6.0ms (4.2% of total)

ival-cos: 5.0ms (3.5% of total)

ival-add: 4.0ms (2.8% of total)

ival-pow2: 4.0ms (2.8% of total)

ival-sub: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series47.0ms (0.7%)

Memory

-21.4MiB live, 16.6MiB allocated

Counts

19 → 49

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 (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 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(*.f64 #s(literal 0 binary64) (cos.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 x))
(*.f64 #s(literal 1/120 binary64) y)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64))

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) 3))
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)
0
(* x (pow y 3))
(* (pow y 3) (+ x (* -1/2 (* x (pow y 2)))))
(* (pow y 3) (+ x (* (pow y 2) (+ (* -1/2 x) (* 13/120 (* x (pow y 2)))))))
(* (pow y 3) (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -41/3024 (* x (pow y 2))) (* 13/120 x)))))))
(* 1/120 y)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(pow y 3)
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(* (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))))
(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)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(pow (sin y) 3)
(pow (sin y) 2)

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	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) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) y)) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (pow (sin y) 3) (pow (* 1 (sin y)) 2))
4.0ms	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) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) y)) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (pow (sin y) 3) (pow (* 1 (sin y)) 2))
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) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) y)) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (pow (sin y) 3) (pow (* 1 (sin y)) 2))
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) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) y)) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (pow (sin y) 3) (pow (* 1 (sin y)) 2))
2.0ms	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) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) y)) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg x)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (pow (sin y) 3) (pow (* 1 (sin y)) 2))

simplify184.0ms (2.6%)

Memory

38.5MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	524
1	455	518
2	1605	498
3	4647	494
0	8104	456

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

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) 3))
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)
0
(* x (pow y 3))
(* (pow y 3) (+ x (* -1/2 (* x (pow y 2)))))
(* (pow y 3) (+ x (* (pow y 2) (+ (* -1/2 x) (* 13/120 (* x (pow y 2)))))))
(* (pow y 3) (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -41/3024 (* x (pow y 2))) (* 13/120 x)))))))
(* 1/120 y)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(pow y 3)
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(* (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))))
(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)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(pow (sin y) 3)
(pow (sin y) 2)

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) 3))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 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 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (.f64 y (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))) x)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (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)
0
#s(literal 0 binary64)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* (pow y 3) (+ x (* -1/2 (* x (pow y 2)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x) x) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ x (* (pow y 2) (+ (* -1/2 x) (* 13/120 (* x (pow y 2)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 13/120 binary64) y) y #s(literal -1/2 binary64))) (.f64 y y) x) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -41/3024 (* x (pow y 2))) (* 13/120 x)))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -41/3024 binary64) (.f64 y y) #s(literal 13/120 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) x) x)) (pow.f64 y #s(literal 3 binary64)))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) 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))
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 13/120 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 13/120 binary64) y) y (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -41/3024 binary64)) #s(literal 1/2 binary64))) (.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (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 (.f64 #s(literal 2/45 binary64) y) y (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/315 binary64)) #s(literal 1/3 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)))))
(.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 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))
(* 1/120 (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)
(pow (sin y) 3)
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(pow (sin y) 2)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))

rewrite250.0ms (3.5%)

Memory

5.9MiB live, 241.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	170
0	71	136
1	279	124
2	1739	120
0	8876	120

Stop Event

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

Counts

19 → 1 564

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 (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 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(*.f64 #s(literal 0 binary64) (cos.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 x))
(*.f64 #s(literal 1/120 binary64) y)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64))

Outputs
(.f64 (.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) y))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))
(.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 y))) (fabs.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 y) (PI.f64)))
(sin.f64 (neg.f64 (neg.f64 y)))
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sin.f64 y)))
(fabs.f64 (sin.f64 y))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(exp.f64 (log.f64 (sin.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 y))) (sinh.f64 (log.f64 (sin.f64 y))))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)
(*.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 (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 (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 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
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(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (sin.f64 y) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(fma.f64 (sin.f64 y) (sin.f64 y) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 y y)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(exp.f64 (-.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))

eval290.0ms (4.1%)

Memory: 6.5MiB live, 471.2MiB allocated
Compiler: Compiled 72 486 to 6 098 computations (91.6% saved)

prune102.0ms (1.4%)

Memory

-6.3MiB live, 121.1MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 714	5	1 719
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	1 716	12	1 728

Accuracy

100.0%

Counts

1 728 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.3%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) y)
✓	89.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
	52.2%	(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (neg.f64 x)) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
▶	46.8%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	84.8%	(*.f64 (/.f64 x y) (sin.f64 y))
	46.4%	(.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y))) y))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	57.8%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	57.5%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
▶	57.6%	#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))
▶	57.2%	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
✓	57.6%	#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 280 to 202 computations (27.9% saved)

simplify237.0ms (3.3%)

Memory

-11.3MiB live, 225.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
cost-diff	0	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
cost-diff	2	(.f64 (.f64 (*.f64 #s(literal 1/120 binary64) y) y) y)
cost-diff	2	(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))
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	(sqrt.f64 (sin.f64 y))
cost-diff	0	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) y)
cost-diff	3	(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	252
0	64	249
1	126	237
2	381	235
3	1850	232
4	4759	232
5	7633	232
0	8299	229

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.5%)

Memory

20.3MiB live, 179.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	0.05859375	(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y)
accuracy	6.653002279721883	(.f64 (.f64 y y) x)
accuracy	14.957798393351148	#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	0.2734375	(*.f64 #s(literal -1/6 binary64) y)
accuracy	1.1507361395238012	(.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
accuracy	5.99609375	(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))
accuracy	14.797456188772962	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
accuracy	0.0	(*.f64 x y)
accuracy	6.989718125355956	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
accuracy	14.891014511928507	#s(approx (* (sin y) x) (*.f64 x y))
accuracy	0.0	(*.f64 y y)
accuracy	0.04296875	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy	6.653002279721883	(.f64 (.f64 y y) x)
accuracy	15.092098754713037	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
accuracy	0.03125	(sqrt.f64 (sin.f64 y))
accuracy	0.046875	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)
accuracy	0.3671875	(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
accuracy	6.989718125355956	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) y)

Samples

68.0ms	206×	0	valid
15.0ms	50×	0	invalid

Compiler

Compiled 213 to 39 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 25.0ms (41.4% of total)

const: 11.0ms (18.2% of total)

ival-add: 6.0ms (9.9% of total)

ival-sin: 6.0ms (9.9% of total)

ival-div: 5.0ms (8.3% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-pow2: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.7%)

Memory

-4.8MiB live, 33.2MiB allocated

Counts

20 → 53

Calls

Call 1

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

Outputs
(/ (* x (sin y)) y)
(* x (sin y))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x y)
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* 1/120 (pow y 4)))))
(* 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 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
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))))
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))))))
(* 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)))))))
(sqrt y)
(+ (sqrt y) (* -1/12 (sqrt (pow y 5))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3))))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y))))))))
(pow y 2)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* 1/120 (pow y 3))
(* -1/6 y)
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(sin y)
(sqrt (sin y))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* 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)))))
(* 1/120 (* 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)))))
(* -1/5040 (* 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 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	((pow (sqrt (sin y)) 2) (/ (* (pow (sqrt (sin y)) 2) x) y) (* (pow (sqrt (sin y)) 2) x) (sqrt (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) (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1)) (* (* (* 1/120 y) y) y) (* x (/ (sin y) y)) (* x (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1))) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* -1/6 y) (* (+ (* -1/5040 (* y y)) 1/120) y) (+ (* -1/5040 (* y y)) 1/120))
4.0ms	x	@	-inf	((pow (sqrt (sin y)) 2) (/ (* (pow (sqrt (sin y)) 2) x) y) (* (pow (sqrt (sin y)) 2) x) (sqrt (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) (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1)) (* (* (* 1/120 y) y) y) (* x (/ (sin y) y)) (* x (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1))) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* -1/6 y) (* (+ (* -1/5040 (* y y)) 1/120) y) (+ (* -1/5040 (* y y)) 1/120))
4.0ms	x	@	0	((pow (sqrt (sin y)) 2) (/ (* (pow (sqrt (sin y)) 2) x) y) (* (pow (sqrt (sin y)) 2) x) (sqrt (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) (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1)) (* (* (* 1/120 y) y) y) (* x (/ (sin y) y)) (* x (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1))) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* -1/6 y) (* (+ (* -1/5040 (* y y)) 1/120) y) (+ (* -1/5040 (* y y)) 1/120))
4.0ms	y	@	-inf	((pow (sqrt (sin y)) 2) (/ (* (pow (sqrt (sin y)) 2) x) y) (* (pow (sqrt (sin y)) 2) x) (sqrt (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) (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1)) (* (* (* 1/120 y) y) y) (* x (/ (sin y) y)) (* x (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1))) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* -1/6 y) (* (+ (* -1/5040 (* y y)) 1/120) y) (+ (* -1/5040 (* y y)) 1/120))
3.0ms	y	@	inf	((pow (sqrt (sin y)) 2) (/ (* (pow (sqrt (sin y)) 2) x) y) (* (pow (sqrt (sin y)) 2) x) (sqrt (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) (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1)) (* (* (* 1/120 y) y) y) (* x (/ (sin y) y)) (* x (+ (* (* (* (* 1/120 y) y) y) y) (+ (* (* -1/6 y) y) 1))) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* -1/6 y) (* (+ (* -1/5040 (* y y)) 1/120) y) (+ (* -1/5040 (* y y)) 1/120))

simplify171.0ms (2.4%)

Memory

-0.5MiB live, 153.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	571
1	443	565
2	1489	544
3	4402	535
0	8110	500

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 51

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(* x (sin y))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x y)
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* 1/120 (pow y 4)))))
(* 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 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
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))))
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))))))
(* 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)))))))
(sqrt y)
(+ (sqrt y) (* -1/12 (sqrt (pow y 5))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3))))))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y))))))))
(pow y 2)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* 1/120 (pow y 3))
(* -1/6 y)
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(sin y)
(sqrt (sin y))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* 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)))))
(* 1/120 (* 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)))))
(* -1/5040 (* 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 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))

Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* 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 y)
(*.f64 x y)
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* 1/120 (pow y 4)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) y) y (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 y y) x) 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 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) y (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64))) (neg.f64 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 (.f64 #s(literal 1/120 binary64) y) y (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)) x))
(* 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 (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) 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 x y))
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/12 (sqrt (pow y 5))))
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) #s(literal -1/12 binary64) (sqrt.f64 y))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3))))))
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 y))
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/1440 binary64) (.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 y))
(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))
(* 1/120 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* 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)
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))
(sin y)
(sin.f64 y)
(sqrt (sin y))
(sqrt.f64 (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)
(* 1/120 (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))
(* 1/120 (* x (pow y 4)))
(.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(.f64 (.f64 x (-.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) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(.f64 (fma.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* -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)))
(* -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 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 3 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 (* (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)))

rewrite249.0ms (3.5%)

Memory

25.7MiB live, 180.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	199
0	64	196
1	220	184
2	1439	179
0	8372	176

Stop Event

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

Counts

20 → 389

Calls

Call 1

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

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

eval213.0ms (3%)

Memory: -33.5MiB live, 99.8MiB allocated
Compiler: Compiled 19 343 to 2 186 computations (88.7% saved)

prune65.0ms (0.9%)

Memory

3.2MiB live, 40.3MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	484	4	488
Fresh	0	2	2
Picked	1	4	5
Done	0	5	5
Total	485	15	500

Accuracy

100.0%

Counts

500 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.3%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) y)
✓	89.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
	52.2%	(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (neg.f64 x)) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
✓	46.8%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	84.8%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	46.4%	(.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y))) y))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	57.8%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	57.5%	#s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x))
▶	31.5%	#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
▶	2.8%	#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))))
▶	57.6%	#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x)))
✓	57.6%	#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))
✓	57.2%	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
✓	57.6%	#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 394 to 248 computations (37.1% saved)

simplify144.0ms (2%)

Memory

2.5MiB live, 86.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y))) y))
cost-diff	2	(*.f64 #s(literal 1 binary64) (sin.f64 y))
cost-diff	2	(sin.f64 (neg.f64 (PI.f64)))
cost-diff	2	(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
cost-diff	0	#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
cost-diff	1	(+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))
cost-diff	2	(-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x))))
cost-diff	6	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) 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	(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
cost-diff	0	#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x)))
cost-diff	2	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x))
cost-diff	4	(.f64 (.f64 y y) (.f64 (.f64 y y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	366
0	77	348
1	174	332
2	613	310
3	4106	300
0	8245	293

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x)))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) x) x))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x))
(fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) x) x)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
(.f64 (.f64 y y) (.f64 (.f64 y y) x))
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(.f64 (.f64 y y) x)
x
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x)
#s(literal -1/6 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 (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y x) #s(literal -1/6 binary64)) 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 x) #s(literal -1/6 binary64)) y))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(.f64 (.f64 (*.f64 y x) #s(literal -1/6 binary64)) y)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
#s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #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 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x)
y
(.f64 (.f64 x y) #s(literal -1/6 binary64))
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(*.f64 x y)
(*.f64 y x)
x
#s(literal -1/6 binary64)
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
#s(approx (* x (/ (sin y) y)) (/.f64 (.f64 x (-.f64 x (.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x))))
(/.f64 (.f64 x (-.f64 x (.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) x))
(-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x))))
(.f64 x (-.f64 x (.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))))
(*.f64 x x)
x
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) x)
#s(literal 1/6 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
(+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x)
(.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y))) y))
(*.f64 (/.f64 (-.f64 (sin.f64 y) #s(literal 0 binary64)) y) x)
x
(/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (-.f64 (sin.f64 y) #s(literal 0 binary64)) y)
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(-.f64 (sin.f64 y) #s(literal 0 binary64))
(sin.f64 (neg.f64 (PI.f64)))
#s(literal 0 binary64)
(neg.f64 (PI.f64))
(PI.f64)
(cos.f64 y)
y
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
#s(literal 1 binary64)
(sin.f64 y)

localize571.0ms (8.1%)

Memory

-11.8MiB live, 335.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(PI.f64)
accuracy	0.0703125	(.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y))) y))
accuracy	0.11328125	(/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)
accuracy	61.92199421717352	(sin.f64 (neg.f64 (PI.f64)))
accuracy	8.287201276408648	(.f64 (.f64 y y) x)
accuracy	9.19524644656659	(-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x))))
accuracy	27.177627739490315	#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
accuracy	37.29775907444376	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x))))
accuracy	0.0	(*.f64 x y)
accuracy	0.0703125	(fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x)
accuracy	0.29296875	(.f64 (.f64 x y) #s(literal -1/6 binary64))
accuracy	27.177627739490315	#s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x))
accuracy	0.23828125	(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
accuracy	8.287201276408648	(.f64 (.f64 y y) x)
accuracy	27.177627739490315	#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	35.34202193472496	#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
accuracy	0.078125	(.f64 (.f64 y y) (.f64 (.f64 y y) x))
accuracy	0.08203125	(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x)
accuracy	8.287201276408648	(.f64 (.f64 y y) x)
accuracy	27.105987461782803	#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x)))

Samples

304.0ms	128×	2	valid
180.0ms	128×	1	valid

Compiler

Compiled 287 to 44 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-sin: 159.0ms (42.3% of total)

ival-mult: 129.0ms (34.3% of total)

adjust: 28.0ms (7.5% of total)

const: 19.0ms (5.1% of total)

ival-add: 14.0ms (3.7% of total)

ival-div: 13.0ms (3.5% of total)

ival-cos: 6.0ms (1.6% of total)

ival-neg: 3.0ms (0.8% of total)

ival-pi: 2.0ms (0.5% of total)

ival-sub: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.7%)

Memory

38.0MiB live, 38.0MiB allocated

Counts

24 → 56

Calls

Call 1

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

Outputs
(* x (pow y 4))
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* -1/5040 (pow y 2)))))))
(/ (* 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 y)
(* 1/36 (* (pow x 2) (pow y 4)))
(* (pow x 2) (- 1 (* 1/36 (pow y 4))))
(* x (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(* -1 (* x (- (+ (* -1 (* (pow y 4) (+ 1/120 (* -1/5040 (pow y 2))))) (* 1/6 (pow y 2))) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ (* x (- 1 (* 1/36 (pow y 4)))) (- (* -1/6 (pow y 2)) 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))))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(pow x 2)
(+ (* -1/36 (* (pow x 2) (pow y 4))) (pow x 2))
(+ x (* 1/6 (* x (pow y 2))))
(sin (neg (PI)))
(+ y (sin (neg (PI))))
(+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 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))))
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(/ (sin (neg (PI))) y)
(/ (+ y (sin (neg (PI)))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI)))))))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y)))))) y)
(* -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 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/36 (* (pow x 2) (pow y 4)))
(* (pow y 4) (- (/ (pow x 2) (pow y 4)) (* 1/36 (pow x 2))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(+ (sin y) (* (cos y) (sin (neg (PI)))))
(sin y)
(/ (+ (sin y) (* (cos y) (sin (neg (PI))))) y)

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((* (* y y) (* (* y y) x)) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* (* y y) (* (* y y) x))) (+ (* -1/6 (* (* y y) x)) x)) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x))) (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x))) (/ (* (sin y) x) y) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (+ (* -1/6 (* (* y y) x)) x) (/ (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x)))) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
11.0ms	x	@	0	((* (* y y) (* (* y y) x)) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* (* y y) (* (* y y) x))) (+ (* -1/6 (* (* y y) x)) x)) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x))) (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x))) (/ (* (sin y) x) y) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (+ (* -1/6 (* (* y y) x)) x) (/ (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x)))) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
9.0ms	x	@	inf	((* (* y y) (* (* y y) x)) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* (* y y) (* (* y y) x))) (+ (* -1/6 (* (* y y) x)) x)) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x))) (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x))) (/ (* (sin y) x) y) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (+ (* -1/6 (* (* y y) x)) x) (/ (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x)))) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
5.0ms	y	@	-inf	((* (* y y) (* (* y y) x)) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* (* y y) (* (* y y) x))) (+ (* -1/6 (* (* y y) x)) x)) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x))) (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x))) (/ (* (sin y) x) y) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (+ (* -1/6 (* (* y y) x)) x) (/ (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x)))) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
5.0ms	y	@	inf	((* (* y y) (* (* y y) x)) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* (* y y) (* (* y y) x))) (+ (* -1/6 (* (* y y) x)) x)) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (/ (* (sin y) x) y) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x))) (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x))) (/ (* (sin y) x) y) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (+ (* -1/6 (* (* y y) x)) x) (/ (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (+ x (* 1/6 (* (* y y) x)))) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))

simplify195.0ms (2.8%)

Memory

-24.9MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	559
1	518	525
2	1878	471
3	6042	471
0	8205	437

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

Inputs
(* x (pow y 4))
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* -1/5040 (pow y 2)))))))
(/ (* 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 y)
(* 1/36 (* (pow x 2) (pow y 4)))
(* (pow x 2) (- 1 (* 1/36 (pow y 4))))
(* x (+ 1 (* 1/6 (pow y 2))))
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(* -1 (* x (- (+ (* -1 (* (pow y 4) (+ 1/120 (* -1/5040 (pow y 2))))) (* 1/6 (pow y 2))) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ (* x (- 1 (* 1/36 (pow y 4)))) (- (* -1/6 (pow y 2)) 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))))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(pow x 2)
(+ (* -1/36 (* (pow x 2) (pow y 4))) (pow x 2))
(+ x (* 1/6 (* x (pow y 2))))
(sin (neg (PI)))
(+ y (sin (neg (PI))))
(+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 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))))
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(/ (sin (neg (PI))) y)
(/ (+ y (sin (neg (PI)))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI)))))))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y)))))) y)
(* -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 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/36 (* (pow x 2) (pow y 4)))
(* (pow y 4) (- (/ (pow x 2) (pow y 4)) (* 1/36 (pow x 2))))
(* 1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(+ (sin y) (* (cos y) (sin (neg (PI)))))
(sin y)
(/ (+ (sin y) (* (cos y) (sin (neg (PI))))) y)

Outputs
(* x (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* -1/5040 (pow y 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) x)
(/ (* 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 x y) #s(literal -1/6 binary64)) y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* -1/6 (* x y))
(.f64 (.f64 x y) #s(literal -1/6 binary64))
(* x y)
(*.f64 x y)
(* 1/36 (* (pow x 2) (pow y 4)))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) #s(literal 1/36 binary64))
(* (pow x 2) (- 1 (* 1/36 (pow y 4))))
(.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) x)
(* x (+ 1 (* 1/6 (pow y 2))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(/.f64 (fma.f64 (sin.f64 y) x #s(literal 0 binary64)) y)
(/ (* x (- 1 (* 1/36 (pow y 4)))) (+ 1 (* 1/6 (pow y 2))))
(.f64 (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* -1 (* (pow y 4) (+ 1/120 (* -1/5040 (pow y 2))))) (* 1/6 (pow y 2))) 1)))
(.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* -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 (- (* -1/6 (pow y 2)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1 (/ (* x (- 1 (* 1/36 (pow y 4)))) (- (* -1/6 (pow y 2)) 1)))
(/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) x (neg.f64 x)) (-.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #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 (.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 #s(literal -1/6 binary64) y) (.f64 x y) (fma.f64 (.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)) x))
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 x 2)
(*.f64 x x)
(+ (* -1/36 (* (pow x 2) (pow y 4))) (pow x 2))
(.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) x)
(+ x (* 1/6 (* x (pow y 2))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)
(sin (neg (PI)))
#s(literal 0 binary64)
(+ y (sin (neg (PI))))
y
(+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI))))))))
y
(+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #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 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) y)
(/ (* x (sin (neg (PI)))) y)
#s(literal 0 binary64)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(/ (sin (neg (PI))) y)
#s(literal 0 binary64)
(/ (+ y (sin (neg (PI)))) y)
#s(literal 1 binary64)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI)))))))) y)
#s(literal 1 binary64)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y)))))) y)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* -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 (/.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))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) x (.f64 x (+.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) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) x (fma.f64 x (+.f64 (/.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 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)
(* (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)
(* -1/36 (* (pow x 2) (pow y 4)))
(.f64 #s(literal -1/36 binary64) (.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))
(* (pow y 4) (- (/ (pow x 2) (pow y 4)) (* 1/36 (pow x 2))))
(.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/36 binary64) x))) (pow.f64 y #s(literal 4 binary64)))
(* 1/6 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) y) y)
(* (pow y 2) (+ (* 1/6 x) (/ x (pow y 2))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)
(+ (sin y) (* (cos y) (sin (neg (PI)))))
(-.f64 (sin.f64 y) #s(literal 0 binary64))
(sin y)
(sin.f64 y)
(/ (+ (sin y) (* (cos y) (sin (neg (PI))))) y)
(/.f64 (-.f64 (sin.f64 y) #s(literal 0 binary64)) y)

rewrite264.0ms (3.7%)

Memory

-15.7MiB live, 342.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	314
0	77	250
1	307	230
2	2125	222
0	8645	216

Stop Event

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

Counts

24 → 1 336

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 x (.f64 y y)) (neg.f64 y)) (neg.f64 y))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) y)
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (.f64 x (.f64 y y))))
(.f64 (.f64 x (.f64 y y)) (.f64 y y))
(*.f64 x (pow.f64 y #s(literal 4 binary64)))
(.f64 (.f64 y y) (.f64 x (.f64 y y)))
(.f64 y (.f64 (pow.f64 y #s(literal 3 binary64)) x))
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(+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (.f64 (sin.f64 y) (fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y)))) y)) (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (*.f64 (sin.f64 y) (fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y)))) y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (.f64 (sin.f64 y) (fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y)))) y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (*.f64 (sin.f64 y) (fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y)))) y)))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (.f64 (sin.f64 y) (fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y))))) y) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (*.f64 (sin.f64 y) (fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y))))) y))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 (.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (.f64 (neg.f64 (sin.f64 y)) y)))
(+.f64 (/.f64 (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 (sin.f64 y) y))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval189.0ms (2.7%)

Memory: 9.8MiB live, 285.4MiB allocated
Compiler: Compiled 49 623 to 4 399 computations (91.1% saved)

prune94.0ms (1.3%)

Memory

20.2MiB live, 99.0MiB allocated

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	1 172	12	1 184
Fresh	0	1	1
Picked	2	3	5
Done	1	8	9
Total	1 175	24	1 199

Accuracy

100.0%

Counts

1 199 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.3%	(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) y)
✓	89.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
	52.2%	(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (neg.f64 x)) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
✓	46.8%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	84.8%	(*.f64 (/.f64 x y) (sin.f64 y))
	46.4%	(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (sin.f64 y)) y))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
	2.1%	#s(approx (/ (* (sin y) x) y) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x))))
✓	57.5%	#s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x))
	55.0%	#s(approx (/ (* (sin y) x) y) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x))))
	31.5%	#s(approx (/ (* (sin y) x) y) (/.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
	33.0%	#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y) (.f64 (.f64 x y) #s(literal -1/6 binary64))) y)) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
	31.6%	#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (fma.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y))) (sqrt.f64 (neg.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y))) x)))
	3.3%	#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) #s(approx (+ x (* 1/6 (* (* y y) x))) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))))
	42.6%	#s(approx (/ (* (sin y) x) y) (/.f64 #s(approx (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (.f64 x x)) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))))
✓	2.8%	#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))))
	2.8%	#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 x y) #s(literal -1/6 binary64)) y)))
	57.8%	#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
	14.0%	#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
✓	57.6%	#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x)))
✓	57.6%	#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))
	57.2%	#s(approx (* x (/ (sin y) y)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (.f64 y y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)))))
✓	57.2%	#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
✓	57.6%	#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 1 289 to 511 computations (60.4% saved)

regimes38.0ms (0.5%)

Memory

-17.9MiB live, 65.1MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.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) (.f64 (.f64 (*.f64 x y) #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 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) 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 (/ (* (sin y) x) y) (/.f64 #s(approx (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (.f64 x x)) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))))
#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
#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 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x)))
#s(approx (* x (/ (sin y) y)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (.f64 y y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (* (sin y) x) y) (/.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) #s(approx (+ x (* 1/6 (* (* y y) x))) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y) (.f64 (.f64 x y) #s(literal -1/6 binary64))) y)) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
#s(approx (/ (* (sin y) x) y) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x))))
#s(approx (/ (* (sin y) x) y) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (fma.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y))) (sqrt.f64 (neg.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y))) x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) y)
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (sin.f64 y)) y))
(.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (.f64 #s(literal 1 binary64) (sin.f64 y))) y))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (neg.f64 x)) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) 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:

11.0ms	(/.f64 (sin.f64 y) y)
9.0ms	x
8.0ms	y
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

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

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes27.0ms (0.4%)

Memory

12.9MiB live, 51.7MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.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) (.f64 (.f64 (*.f64 x y) #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 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) 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 (/ (* (sin y) x) y) (/.f64 #s(approx (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (.f64 x x)) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))))
#s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
#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 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x)))
#s(approx (* x (/ (sin y) y)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (.f64 y y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (* (sin y) x) y) (/.f64 (fma.f64 x x (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) #s(approx (+ x (* 1/6 (* (* y y) x))) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) y) y))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y) (.f64 (.f64 x y) #s(literal -1/6 binary64))) y)) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)))))
#s(approx (/ (* (sin y) x) y) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x))))
#s(approx (/ (* (sin y) x) y) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) #s(literal 1/36 binary64))) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 y y)) x))))
#s(approx (/ (* (sin y) x) y) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))) (fma.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y))) (sqrt.f64 (neg.f64 (.f64 (.f64 (.f64 x y) #s(literal -1/6 binary64)) y))) x)))

Outputs

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

#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

Calls

4 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	y
6.0ms	x
6.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
57.8%	1	`x`
68.8%	2	`y`
68.4%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
68.8%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

#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 (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.8%	2	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

-23.6MiB live, 15.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

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

Calls

2 calls:

5.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
68.6%	2	`(/.f64 (sin.f64 y) y)`
68.6%	2	`y`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.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) (.f64 (.f64 (*.f64 x y) #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 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) 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 (/ (* (sin y) x) y) (/.f64 #s(approx (- (* x x) (* (* 1/6 (* (* y y) x)) (* 1/6 (* (* y y) x)))) (.f64 x x)) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)))))

Outputs

#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 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))))

Calls

1 calls:

3.0ms

(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
68.6%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 4 to 4 computations (0% saved)

regimes9.0ms (0.1%)

Memory

-26.3MiB live, 17.8MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.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) (.f64 (.f64 (*.f64 x y) #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 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) 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)

Outputs
#s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

Calls

2 calls:

3.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
68.5%	2	`y`
68.5%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.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) (.f64 (.f64 (*.f64 x y) #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))))

Outputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.9%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
67.8%	2	`(/.f64 (sin.f64 y) y)`
67.8%	2	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

Outputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.0%	1	`x`
14.0%	1	`y`
14.0%	1	`(/.f64 (sin.f64 y) y)`
14.0%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch17.0ms (0.2%)

Memory

-8.9MiB live, 29.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	34166896302.023907	3497780247104.7056

Samples

11.0ms

112×

valid

Compiler

Compiled 345 to 234 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 4.0ms (69.9% of total)

ival-div: 1.0ms (17.5% of total)

ival-mult: 1.0ms (17.5% of total)

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

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	34166896302.023907	3497780247104.7056

Compiler

Compiled 303 to 234 computations (22.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.961628709159798e-22	2.818015916073633e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.961628709159798e-22	2.818015916073633e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch17.0ms (0.2%)

Memory

-11.3MiB live, 27.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3497780247104.7056	68839070641802770.0

Samples

11.0ms

128×

valid

Compiler

Compiled 265 to 226 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sin: 4.0ms (49.7% of total)

ival-mult: 3.0ms (37.3% of total)

ival-div: 1.0ms (12.4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7620430917084084e-307	8.703720762785826e-307

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify83.0ms (1.2%)

Memory

9.9MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	276
1	96	260
2	163	236
3	391	220
4	871	220
5	1621	220
6	3291	220
7	6099	220

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 50000000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))) #s(approx ( x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 50000000000 binary64)) #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 (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 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)))))
(if (<=.f64 y #s(literal 27000000000000 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx ( x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 50000000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))) #s(approx ( x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 50000000000 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))) #s(approx ( x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 50000000000 binary64)) #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 (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 50000000000 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (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 (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (sin y) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (.f64 x (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) y) y) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 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)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (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)))))
(if (<=.f64 y #s(literal 27000000000000 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 27000000000000 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (fma.f64 y (.f64 (.f64 x y) #s(literal -1/6 binary64)) x)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 (.f64 x (/.f64 (sin.f64 y) y)) #s(literal 6325070415853457/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx ( x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

soundness1.3s (17.9%)

Memory

-3.3MiB live, 794.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	524
1	455	518
2	1605	498
3	4647	494
0	8104	456
0	37	199
0	64	196
1	220	184
2	1439	179
0	8372	176
0	41	170
0	71	136
1	279	124
2	1739	120
0	8876	120
0	43	150
1	142	150
2	478	140
3	2043	138
4	4988	138
0	8032	124
0	5	12
0	8	12
1	14	12
2	37	12
3	145	12
4	841	12
0	8404	12
0	159	559
1	518	525
2	1878	471
3	6042	471
0	8205	437

Stop Event

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

Compiler

Compiled 473 to 183 computations (61.3% saved)

preprocess168.0ms (2.4%)

Memory

16.6MiB live, 134.2MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 734 to 178 computations (75.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.2%)

sample909.0ms (12.8%)

explain124.0ms (1.7%)

preprocess49.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize31.0ms (0.4%)

series6.0ms (0.1%)

simplify211.0ms (3%)

rewrite195.0ms (2.7%)

eval20.0ms (0.3%)

prune23.0ms (0.3%)

simplify101.0ms (1.4%)

localize272.0ms (3.8%)

series47.0ms (0.7%)

simplify184.0ms (2.6%)

rewrite250.0ms (3.5%)

eval290.0ms (4.1%)

prune102.0ms (1.4%)

simplify237.0ms (3.3%)

localize105.0ms (1.5%)

series48.0ms (0.7%)

simplify171.0ms (2.4%)

rewrite249.0ms (3.5%)

eval213.0ms (3%)

prune65.0ms (0.9%)

simplify144.0ms (2%)

localize571.0ms (8.1%)

series49.0ms (0.7%)

simplify195.0ms (2.8%)

rewrite264.0ms (3.7%)

eval189.0ms (2.7%)

prune94.0ms (1.3%)

regimes38.0ms (0.5%)

regimes27.0ms (0.4%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch0.0ms (0%)

simplify83.0ms (1.2%)

soundness1.3s (17.9%)

preprocess168.0ms (2.4%)

end0.0ms (0%)

Profiling