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

analyze13.0ms (0.1%)

Memory

-11.4MiB live, 28.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.2s (12.1%)

Memory

21.8MiB live, 1 499.6MiB allocated

Samples

813.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 638.0ms

ival-sin: 485.0ms (76% of total)

ival-div: 87.0ms (13.6% of total)

ival-mult: 56.0ms (8.8% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

preprocess50.0ms (0.5%)

Memory

-6.2MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Rules

600×	`times-frac`
296×	`associate-r`
278×	`associate-l`
182×	`unsub-neg`
180×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	46	32
2	122	32
3	323	32
4	1107	32
5	1811	32
6	1904	32
7	1938	32
8	1966	32
9	1978	32
10	1978	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×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain83.0ms (0.9%)

Memory

-0.2MiB live, 115.1MiB 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

33.0ms

512×

valid

Compiler

Compiled 48 to 24 computations (50% saved)

Precisions

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

ival-sin: 12.0ms (62% of total)

ival-div: 4.0ms (20.7% of total)

ival-mult: 3.0ms (15.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`lower-/.f64`

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

localize29.0ms (0.3%)

Memory

8.6MiB live, 41.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) y)

Samples

23.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 12.0ms (75.5% of total)

ival-div: 2.0ms (12.6% of total)

ival-mult: 1.0ms (6.3% of total)

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

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

series10.0ms (0.1%)

Memory

-26.1MiB live, 11.5MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (*.f64 x (/.f64 (sin.f64 y) y))>
#<alt (/.f64 (sin.f64 y) y)>
#<alt (sin.f64 y)>

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(* x (/ (sin y) y))
1.0ms	x	@	0	(* x (/ (sin y) y))
1.0ms	y	@	inf	(* x (/ (sin y) y))
1.0ms	x	@	-inf	(* x (/ (sin y) y))
1.0ms	x	@	inf	(* x (/ (sin y) y))

rewrite93.0ms (1%)

Memory

13.2MiB live, 137.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

836×	`lower-*.f32`
834×	`lower-*.f64`
718×	`lower-/.f32`
716×	`lower-/.f64`
220×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12

Stop Event

1×	iter limit
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 (.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (/.f64 (.f64 x (sin.f64 y)) y))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (/.f64 (.f64 x (sin.f64 y)) y))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x (sin.f64 y)) y))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) x) (.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (neg.f64 x) y)) (sin.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (/.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 y)) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)))
(.f64 (neg.f64 (.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x (sin.f64 y))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) x))
(.f64 (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (/.f64 y (.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(.f64 (.f64 x (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (sin.f64 y))) (.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) y))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (.f64 (sin.f64 y) y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 y (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (.f64 y (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(.f64 (.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (.f64 y y))) y)
(+.f64 (sin.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(-.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y))))
(sin.f64 y)
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)))

simplify377.0ms (4%)

Memory

-19.3MiB live, 591.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 120×	`lower-fma.f64`
16 120×	`lower-fma.f32`
4 374×	`lower-*.f64`
4 374×	`lower-*.f32`
2 386×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	306
1	118	306
2	310	296
3	910	294
4	1439	294
5	2227	294
6	3349	294
7	3639	294
8	4369	294
9	6831	294
0	8504	276

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

eval21.0ms (0.2%)

Memory: -0.8MiB live, 37.0MiB allocated
Compiler: Compiled 2 202 to 440 computations (80% saved)

prune26.0ms (0.3%)

Memory

14.9MiB live, 53.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	188	11	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	12	200

Accuracy

100.0%

Counts

200 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
▶	53.2%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
	89.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	89.0%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
▶	85.1%	(*.f64 (/.f64 x y) (sin.f64 y))
	89.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
▶	53.1%	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
	53.2%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
	53.1%	(.f64 x (/.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	53.8%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 264 to 167 computations (36.7% saved)

simplify170.0ms (1.8%)

Memory

-14.0MiB live, 105.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 y (sin.f64 y))
✓	cost-diff	384	(/.f64 x (/.f64 y (sin.f64 y)))

Rules

2 880×	`lower-fma.f32`
2 872×	`lower-fma.f64`
1 932×	`distribute-lft-in`
1 788×	`distribute-rgt-in`
1 282×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	132
0	40	130
1	82	130
2	211	130
3	554	130
4	1364	130
5	2498	130
6	4114	130
7	5954	130
8	6006	130
9	6022	130
10	6022	130
11	6022	130
12	6789	130
13	7006	130
14	7014	130
15	7014	130
16	7014	130
17	7746	130
18	7862	130
0	7862	130

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (1%)

Memory

14.5MiB live, 137.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	85.1%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	accuracy	99.9%	(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	99.7%	(.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
✓	accuracy	97.8%	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	95.8%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	accuracy	99.8%	(/.f64 y (sin.f64 y))

Samples

64.0ms

256×

valid

Compiler

Compiled 147 to 27 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 21.0ms (45.5% of total)

const: 9.0ms (19.5% of total)

ival-sin: 7.0ms (15.2% of total)

ival-div: 5.0ms (10.8% of total)

ival-add: 4.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

10.8MiB live, 48.9MiB allocated

Counts

14 → 228

Calls

Call 1

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

Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/6 y)>
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1/5040 (pow y 5))>
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 5))>
#<alt (* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)>
#<alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 1/120 y)>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>

Calls

57 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	(* y (+ (* (* y y) -1/5040) 1/120))
3.0ms	y	@	inf	(* x (+ (* y (* y (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6))) 1))
2.0ms	x	@	inf	(+ (* x (* -1/6 (* y y))) x)
1.0ms	x	@	0	(* x (+ (* y (* y (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6))) 1))
1.0ms	y	@	inf	(* y (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6))

rewrite664.0ms (7%)

Memory

-7.6MiB live, 384.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 582×	`lower-fma.f32`
11 574×	`lower-fma.f64`
6 604×	`lower-*.f32`
6 590×	`lower-*.f64`
3 002×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	106
0	40	104
1	156	104
2	1039	104
0	8819	104

Stop Event

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

Counts

14 → 556

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x (sin.f64 y))) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y)
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
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(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/604800 binary64))))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/1728000 binary64) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (.f64 (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))) (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 y (fma.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))) (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (fma.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) y)))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/1728000 binary64) (.f64 y (.f64 y y)))) (-.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/604800 binary64))))))
(/.f64 (.f64 (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64))))
(/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64))))
(/.f64 (.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/1728000 binary64) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/604800 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))) (neg.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y)) (neg.f64 (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) y)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y y) #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))))) (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))))) (-.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(.f64 (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) y)
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))) y))
(.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y))
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/1728000 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))) (.f64 (.f64 y y) #s(literal 1/14400 binary64))) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/604800 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))))
(.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))))
(.f64 (.f64 (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))

simplify1.2s (12.8%)

Memory

-5.5MiB live, 438.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 358×	`lower-fma.f64`
16 358×	`lower-fma.f32`
5 380×	`lower-*.f64`
5 380×	`lower-*.f32`
2 142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1884
1	349	1878
2	939	1830
3	2839	1776
4	6206	1776
0	8656	1654

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 211

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin 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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
x
x
x
x
x
x
x
x
x
x
x
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 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))))))
(* -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 (* 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
(+ 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)))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/6 y)
(* y (- (* 1/120 (pow y 2)) 1/6))
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* -1/5040 (pow y 5))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 5))
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))

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

eval158.0ms (1.7%)

Memory: 7.0MiB live, 156.7MiB allocated
Compiler: Compiled 21 182 to 1 824 computations (91.4% saved)

prune210.0ms (2.2%)

Memory

-30.9MiB live, 190.9MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	790	18	808
Fresh	3	3	6
Picked	1	4	5
Done	0	1	1
Total	794	26	820

Accuracy

100.0%

Counts

820 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.4%	(fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (/.f64 (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
	53.2%	(fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) x)
	52.9%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	53.2%	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
✓	53.2%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
	28.9%	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
	89.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
	84.7%	(/.f64 (sin.f64 y) (/.f64 y x))
▶	65.6%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	65.5%	(/.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
▶	65.5%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	53.1%	(/.f64 x (/.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	52.4%	(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
	38.2%	(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
	38.6%	(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
✓	85.1%	(*.f64 (/.f64 x y) (sin.f64 y))
	89.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
	28.8%	(.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
	28.9%	(.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y x)) x)))
✓	53.1%	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	3.0%	(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
▶	53.8%	x

Compiler

Compiled 732 to 414 computations (43.4% saved)

simplify336.0ms (3.5%)

Memory

22.6MiB live, 563.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
✓	cost-diff	320	(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
✓	cost-diff	3072	(.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
✓	cost-diff	384	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))

Rules

10 780×	`lower-fma.f32`
10 768×	`lower-fma.f64`
3 780×	`lower-*.f32`
3 768×	`lower-*.f64`
2 350×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	197
0	51	163
1	112	155
2	260	155
3	827	155
4	2935	155
5	5359	155
0	8321	155

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
x
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
(sin.f64 y)
y
x
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
#s(literal 31/15120 binary64)
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
x
(.f64 #s(literal -1/6 binary64) (.f64 y y))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
#s(literal 1 binary64)

Outputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(/.f64 y (sin.f64 y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
(sin.f64 y)
y
x
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))
#s(literal 31/15120 binary64)
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)
x
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(literal 1 binary64)
(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
#s(literal 1 binary64)

localize163.0ms (1.7%)

Memory

-9.9MiB live, 316.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
✓	accuracy	95.8%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
✓	accuracy	95.8%	(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
✓	accuracy	74.8%	(.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
✓	accuracy	100.0%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
✓	accuracy	97.4%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	94.1%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)

Samples

79.0ms

256×

valid

Compiler

Compiled 219 to 34 computations (84.5% saved)

Precisions

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

const: 20.0ms (33.5% of total)

ival-mult: 16.0ms (26.8% of total)

ival-div: 8.0ms (13.4% of total)

ival-sin: 8.0ms (13.4% of total)

ival-add: 7.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

4.3MiB live, 41.9MiB allocated

Counts

18 → 312

Calls

Call 1

Inputs
#<alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y #s(literal 1/6 binary64))>
#<alt (/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))>
#<alt (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))>
#<alt (.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))>
#<alt (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 y y))>
#<alt (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))>
#<alt (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))>

Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (+ (* -7/2160 x) (* 31/15120 x))))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))>
#<alt (* 15120/31 (/ x (pow y 6)))>
#<alt (/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))>
#<alt (* 15120/31 (/ x (pow y 6)))>
#<alt (/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (* 31/15120 (pow y 6))>
#<alt (* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 31/15120 (pow y 6))>
#<alt (* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 1/6>
#<alt (+ 1/6 (* 7/360 (pow y 2)))>
#<alt (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))>
#<alt (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))>
#<alt (* 31/15120 (pow y 4))>
#<alt (* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* 31/15120 (pow y 4))>
#<alt (* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt 7/360>
#<alt (+ 7/360 (* 31/15120 (pow y 2)))>
#<alt (+ 7/360 (* 31/15120 (pow y 2)))>
#<alt (+ 7/360 (* 31/15120 (pow y 2)))>
#<alt (* 31/15120 (pow y 2))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* 31/15120 (pow y 2))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1 x) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1 x) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ -1 x)>
#<alt (- (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))>
#<alt (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))>
#<alt (/ -6 (* x (pow y 2)))>
#<alt (/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))>
#<alt (/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))>
#<alt (/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))>
#<alt (/ -6 (* x (pow y 2)))>
#<alt (/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))>
#<alt (/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))>
#<alt (/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))>

Calls

78 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) 31/15120) 7/360)) 1/6)) 1))
1.0ms	y	@	inf	(/ x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) 31/15120) 7/360)) 1/6)) 1))
1.0ms	x	@	inf	(/ x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) 31/15120) 7/360)) 1/6)) 1))
1.0ms	x	@	inf	(/ x (+ (* y (* y 1/6)) 1))
1.0ms	x	@	-inf	(/ x (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) 31/15120) 7/360)) 1/6)) 1))

rewrite373.0ms (3.9%)

Memory

12.3MiB live, 729.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 618×	`lower-fma.f32`
7 606×	`lower-fma.f64`
4 162×	`lower-*.f32`
4 150×	`lower-*.f64`
3 528×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	169
0	51	135
1	222	127
2	1591	127
0	8426	127

Stop Event

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

Counts

18 → 778

Calls

Call 1

Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 1/6 binary64))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y))))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) y))
(neg.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 y)) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (pow.f64 (/.f64 y x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(.f64 (neg.f64 (.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x (sin.f64 y))))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(.f64 (pow.f64 (/.f64 y (.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(neg.f64 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 y)) (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) (sin.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 (/.f64 x (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))
(+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 y (neg.f64 (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 y y)) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 y #s(literal -1/6 binary64))) y #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
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(.f64 (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(.f64 (neg.f64 x) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) x) #s(literal -1 binary64))
(.f64 (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)))
(.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (-.f64 (.f64 x x) (.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) (.f64 x x))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (fma.f64 x x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (*.f64 y y) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)))
(.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x))) (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)) (/.f64 (fma.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) #s(literal 1 binary64)) (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x))))))
(.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) x))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (/.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) x) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) x) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) x) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x))) (/.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (/.f64 x (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)) x)
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) x)
(pow.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))

simplify404.0ms (4.2%)

Memory

28.0MiB live, 701.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 248×	`lower-fma.f64`
12 248×	`lower-fma.f32`
4 208×	`lower-*.f64`
4 208×	`lower-*.f32`
3 384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	2741
1	712	2733
2	2007	2677
3	5231	2677
0	8236	2459

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin 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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
1
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(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
x
(+ x (* -1/6 (* x (pow y 2))))
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(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (+ (* -7/2160 x) (* 31/15120 x))))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))
(* 15120/31 (/ x (pow y 6)))
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))
(* 15120/31 (/ x (pow y 6)))
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))
1
(+ 1 (* 1/6 (pow y 2)))
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(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
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(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
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(pow y 2)
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1/6
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(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
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1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
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(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
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(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
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x
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7/360
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(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
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(* x (- (* -1/6 (pow y 2)) 1))
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(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* -1 x)
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(+ (* -1 x) (* -1/6 (* x (pow y 2))))
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(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/ -1 x)
(- (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))
(/ -6 (* x (pow y 2)))
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))
(/ -6 (* x (pow y 2)))
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))

Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 y (.f64 y (fma.f64 x #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.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) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) y)
(/ 1 (sin y))
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(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
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(sin y)
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(sin y)
(sin.f64 y)
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
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(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 x (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64)))))) x)
(* 6 (/ x (pow y 2)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal -36 binary64) (.f64 x #s(literal 6 binary64))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 x #s(literal 6 binary64) (fma.f64 x (/.f64 #s(literal 216 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (/.f64 x (.f64 y y)) #s(literal -36 binary64)))) (.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -36 binary64) (.f64 y y)) (fma.f64 x (/.f64 #s(literal 216 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 x #s(literal 6 binary64))))) (.f64 y y))
(* 6 (/ x (pow y 2)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (fma.f64 (/.f64 x (.f64 y y)) #s(literal -36 binary64) (.f64 x #s(literal 6 binary64))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
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(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
7/360
#s(literal 7/360 binary64)
(+ 7/360 (* 31/15120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(+ 7/360 (* 31/15120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(+ 7/360 (* 31/15120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* 31/15120 (pow y 2))
(.f64 (.f64 y y) #s(literal 31/15120 binary64))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* 31/15120 (pow y 2))
(.f64 (.f64 y y) #s(literal 31/15120 binary64))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ 1 (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(fma.f64 (/.f64 (.f64 y y) x) (fma.f64 y (.f64 y #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/216 binary64) x) (/.f64 #s(literal -1/36 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/ -6 (* x (pow y 2)))
(/.f64 #s(literal -6 binary64) (.f64 x (.f64 y y)))
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -6 binary64) x)) (*.f64 y y))
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (.f64 x (.f64 y y))) (+.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -216 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))) (*.f64 y y))
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 36 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1296 binary64) (.f64 x (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -216 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))) (.f64 y y))
(/ -6 (* x (pow y 2)))
(/.f64 #s(literal -6 binary64) (.f64 x (.f64 y y)))
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal -6 binary64) x)) (*.f64 y y))
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (.f64 x (.f64 y y))) (+.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -216 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))) (*.f64 y y))
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 36 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1296 binary64) (.f64 x (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -216 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))) (.f64 y y))

eval232.0ms (2.4%)

Memory: -26.4MiB live, 410.4MiB allocated
Compiler: Compiled 41 138 to 2 796 computations (93.2% saved)

prune220.0ms (2.3%)

Memory

-7.6MiB live, 444.1MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1 294	12	1 306
Fresh	5	11	16
Picked	2	3	5
Done	1	4	5
Total	1 302	30	1 332

Accuracy

100.0%

Counts

1 332 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) x)
	52.9%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	53.2%	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
▶	89.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
	84.7%	(/.f64 (sin.f64 y) (/.f64 y x))
	65.5%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	65.5%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	53.1%	(/.f64 x (/.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	65.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	55.7%	(/.f64 x (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	52.8%	(/.f64 x (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
✓	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	55.7%	(/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
▶	16.3%	(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
▶	65.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	52.6%	(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
	55.7%	(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
▶	38.2%	(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
	38.6%	(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
✓	85.1%	(*.f64 (/.f64 x y) (sin.f64 y))
	65.5%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
	89.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	53.1%	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	16.3%	(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
	3.0%	(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
▶	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	53.8%	x

Compiler

Compiled 747 to 452 computations (39.5% saved)

simplify246.0ms (2.6%)

Memory

10.7MiB live, 596.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	1024	(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
✓	cost-diff	0	(*.f64 y #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(/.f64 (*.f64 x (sin.f64 y)) y)

Rules

11 424×	`lower-fma.f32`
11 416×	`lower-fma.f64`
3 302×	`lower-*.f32`
3 286×	`lower-*.f64`
1 748×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	154
0	47	148
1	97	148
2	208	146
3	523	145
4	2291	145
5	5459	145
0	8402	144

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (1.2%)

Memory

-0.1MiB live, 319.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	71.3%	(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	94.4%	(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	accuracy	88.1%	(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	88.4%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	89.7%	(/.f64 (*.f64 x (sin.f64 y)) y)

Samples

82.0ms

256×

valid

Compiler

Compiled 168 to 31 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

const: 20.0ms (34.1% of total)

ival-mult: 19.0ms (32.4% of total)

ival-div: 8.0ms (13.7% of total)

ival-sin: 7.0ms (11.9% of total)

ival-add: 4.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

23.0MiB live, 62.3MiB allocated

Counts

18 → 312

Calls

Call 1

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

Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ 1 x)>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (* 1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* 1/6 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)>
#<alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>

Calls

78 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(* (/ x y) (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y))
1.0ms	x	@	0	(* (/ x y) (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y))
1.0ms	x	@	0	(/ x (* (* y y) 1/6))
0.0ms	x	@	-inf	(/ x (* (* y y) 1/6))
0.0ms	y	@	-inf	(* (/ x y) (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y))

rewrite520.0ms (5.5%)

Memory

-10.9MiB live, 748.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 772×	`lower-fma.f32`
9 764×	`lower-fma.f64`
5 518×	`lower-*.f32`
5 502×	`lower-*.f64`
3 254×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	47	125
1	185	123
2	1225	122
0	8854	121

Stop Event

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

Counts

18 → 779

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) y)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (/.f64 (sin.f64 y) y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 (sin.f64 y) y))))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (pow.f64 (/.f64 y (.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) x)
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 x)))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 x (sin.f64 y))
(*.f64 x (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x)
(sin.f64 y)
(neg.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x))
(neg.f64 (.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y x))
(.f64 (.f64 x y) (*.f64 y #s(literal -1/6 binary64)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64))
(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(.f64 (.f64 x (*.f64 y (neg.f64 y))) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal -1 binary64)) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 y (neg.f64 y)))
(.f64 (.f64 x (*.f64 y #s(literal 1/6 binary64))) (neg.f64 y))
(.f64 (.f64 x (neg.f64 y)) (*.f64 y #s(literal 1/6 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(neg.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) y) (.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) y))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 y (neg.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 (.f64 y #s(literal 1/6 binary64)) (neg.f64 y))
(.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(.f64 (neg.f64 y) (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(.f64 (.f64 y (neg.f64 y)) #s(literal 1/6 binary64))
(.f64 (.f64 y #s(literal -1/6 binary64)) y)
(.f64 (.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (/.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(neg.f64 (/.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 y #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (/.f64 x (*.f64 y y)) #s(literal -1/6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x)))
(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (*.f64 y #s(literal 1/6 binary64)))))
(/.f64 (/.f64 x y) (*.f64 y #s(literal 1/6 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(/.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))
(/.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal -1/6 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 y #s(literal -1/6 binary64)))
(/.f64 (.f64 x #s(literal 6 binary64)) (.f64 y y))
(/.f64 (/.f64 x (*.f64 y #s(literal 1/6 binary64))) y)
(/.f64 (neg.f64 (.f64 x #s(literal 6 binary64))) (.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 y))
(pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))))
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (.f64 y #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 6 binary64) (.f64 y y)) x)
(.f64 (/.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64))
(.f64 (/.f64 x (.f64 y (neg.f64 y))) #s(literal -6 binary64))
(.f64 #s(literal 6 binary64) (/.f64 x (.f64 y y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (.f64 y #s(literal -1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))) (/.f64 x y))
(.f64 (.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 x #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(.f64 (/.f64 x (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -6 binary64) (/.f64 x (.f64 y (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (/.f64 x y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 x #s(literal 6 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1/6 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/6 binary64))) (/.f64 (neg.f64 x) y))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(neg.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) #s(literal -1 binary64))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(.f64 y (neg.f64 (.f64 y #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 y (neg.f64 y)))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 #s(literal 1/6 binary64) (neg.f64 (.f64 y (neg.f64 y))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(.f64 (.f64 y #s(literal 1/6 binary64)) y)
(.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 (neg.f64 y) (.f64 y #s(literal -1/6 binary64)))
(.f64 (.f64 y (neg.f64 y)) #s(literal -1/6 binary64))
(.f64 (.f64 y #s(literal -1/6 binary64)) (neg.f64 y))
(.f64 (neg.f64 (.f64 y (neg.f64 y))) #s(literal 1/6 binary64))
(.f64 (neg.f64 (.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/6 binary64))) y)
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (.f64 y (.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) y))) (.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(+.f64 (.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (.f64 y (.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) y))))
(+.f64 (.f64 (/.f64 x (fma.f64 y (.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 (/.f64 x (fma.f64 y (.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y (.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) y)) (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y))) (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)))))
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(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64))))))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 #s(literal -1/25401600 binary64) (.f64 (.f64 y (.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))

simplify463.0ms (4.9%)

Memory

-1.6MiB live, 630.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 700×	`lower-fma.f64`
19 700×	`lower-fma.f32`
4 938×	`lower-*.f64`
4 938×	`lower-*.f32`
3 814×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	2486
1	433	2474
2	1169	2446
3	3603	2346
0	8176	2212

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 307

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* 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)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin 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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 6 (/ x (pow y 2)))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(* 1/6 (/ (pow y 2) x))
(* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* 1/6 (/ (pow y 2) x))
(* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
(/ (+ 1 (* 1/6 (pow y 2))) x)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) 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))))))
(* -1/5040 (* 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 (* 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))))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x 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))))
(* -1/5040 (pow y 7))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 7))
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))

Outputs
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 x (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 x (fma.f64 y (.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
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(.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y y)))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 y (.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y)
(* -1/5040 (pow y 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))))
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))))))
(* -1/5040 (pow y 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (*.f64 y y))))))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(* -1/5040 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y y))))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y y))))))
(* -1/5040 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/5040 binary64))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y y))))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 y y))))))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))

eval151.0ms (1.6%)

Memory: 34.0MiB live, 343.5MiB allocated
Compiler: Compiled 31 295 to 2 349 computations (92.5% saved)

prune222.0ms (2.3%)

Memory

-10.3MiB live, 346.8MiB allocated

Pruning

39 alts after pruning (29 fresh and 10 done)

	Pruned	Kept	Total
New	1 142	20	1 162
Fresh	9	9	18
Picked	1	4	5
Done	1	6	7
Total	1 153	39	1 192

Accuracy

100.0%

Counts

1 192 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) x)
	52.9%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
	16.3%	(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))
	16.4%	(/.f64 (/.f64 x (*.f64 y #s(literal 1/6 binary64))) y)
	16.4%	(/.f64 (/.f64 x y) (*.f64 y #s(literal 1/6 binary64)))
	65.4%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	43.0%	(/.f64 (.f64 x (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y)
✓	89.7%	(/.f64 (*.f64 x (sin.f64 y)) y)
	43.6%	(/.f64 (*.f64 x y) y)
	84.7%	(/.f64 (sin.f64 y) (/.f64 y x))
	65.5%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	53.1%	(/.f64 x (/.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	55.7%	(/.f64 x (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	52.8%	(/.f64 x (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
✓	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
✓	16.3%	(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
	16.3%	(/.f64 x (.f64 (.f64 y #s(literal 1/6 binary64)) y))
	65.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
	65.4%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
	16.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) x))
	52.6%	(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
	16.3%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 x #s(literal 6 binary64)))
	16.3%	(.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64))
	16.4%	(.f64 (/.f64 x (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
✓	38.2%	(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
	38.6%	(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
	16.4%	(.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))))
✓	85.1%	(*.f64 (/.f64 x y) (sin.f64 y))
	16.3%	(.f64 (/.f64 #s(literal 6 binary64) (.f64 y y)) x)
	16.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x #s(literal 6 binary64)))
	16.4%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1/6 binary64)))
	89.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
	3.0%	(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y x))
	3.0%	(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
✓	53.1%	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	3.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	53.8%	x

Compiler

Compiled 1 226 to 482 computations (60.7% saved)

regimes104.0ms (1.1%)

Memory

32.8MiB live, 106.4MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y x))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) x)
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 6 binary64) (.f64 y y)) x)
(.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64))
(/.f64 x (.f64 (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (/.f64 x y) (*.f64 y #s(literal 1/6 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 1/6 binary64))) y)
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(.f64 (/.f64 x (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) x))
(/.f64 (.f64 x (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 x (/.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) y))
(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(/.f64 x (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
(/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y x)) x)))
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(/.f64 x (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (/.f64 (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))

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

Calls

4 calls:

51.0ms	y
18.0ms	(/.f64 (sin.f64 y) y)
17.0ms	x
16.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes89.0ms (0.9%)

Memory

-16.4MiB live, 119.3MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y x))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) x)
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 6 binary64) (.f64 y y)) x)
(.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64))
(/.f64 x (.f64 (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (/.f64 x y) (*.f64 y #s(literal 1/6 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 1/6 binary64))) y)
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(.f64 (/.f64 x (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) x))
(/.f64 (.f64 x (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 x (/.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) y))
(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(/.f64 x (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
(/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y x)) x)))
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(/.f64 x (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (/.f64 (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))

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

Calls

4 calls:

32.0ms	(/.f64 (sin.f64 y) y)
21.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
17.0ms	x
16.0ms	y

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes67.0ms (0.7%)

Memory

-8.8MiB live, 147.3MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y x))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) x)
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 6 binary64) (.f64 y y)) x)
(.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64))
(/.f64 x (.f64 (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (/.f64 x y) (*.f64 y #s(literal 1/6 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 1/6 binary64))) y)
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(.f64 (/.f64 x (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) x))
(/.f64 (.f64 x (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 x (/.f64 (fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) y))
(.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(/.f64 x (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))
(/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y x)) x)))
(.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))
(/.f64 x (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(fma.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (/.f64 (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))))))

Outputs
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

18.0ms	y
15.0ms	x
15.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
15.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
65.6%	1	`x`
65.6%	1	`y`
65.6%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
65.6%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes50.0ms (0.5%)

Memory

11.8MiB live, 131.6MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y x))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) x)
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 6 binary64) (.f64 y y)) x)
(.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64))
(/.f64 x (.f64 (.f64 y #s(literal 1/6 binary64)) y))
(/.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (/.f64 x y) (*.f64 y #s(literal 1/6 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 1/6 binary64))) y)
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))))
(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(.f64 (/.f64 x (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) x))
(/.f64 (.f64 x (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))

Outputs
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

14.0ms	x
12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
11.0ms	(/.f64 (sin.f64 y) y)
11.0ms	y

Results

Accuracy	Segments	Branch
65.5%	1	`y`
65.5%	1	`x`
65.5%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
65.5%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes25.0ms (0.3%)

Memory

-18.5MiB live, 55.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)

Calls

4 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	y
5.0ms	x
5.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
65.5%	2	`y`
65.5%	2	`(/.f64 (sin.f64 y) y)`
55.6%	2	`x`
65.2%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)

Calls

2 calls:

4.0ms	y
4.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
65.5%	2	`y`
65.5%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

3.5MiB live, 41.8MiB allocated

Accuracy

Total -32.8b remaining (-110.9%)

Threshold costs -32.8b (-110.9%)

Counts

11 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
53.8%	1	`y`
53.8%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5656446640042486e-6	0.9622654492044457

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5656446640042486e-6	0.9622654492044457

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (0.1%)

Memory

-23.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	83
1	39	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64)) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
x

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64)) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 (/.f64 x (.f64 y y)) #s(literal 6 binary64)) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/6 binary64)) x))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y))) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y))) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/6 binary64)) x))
x

soundness1.1s (11.6%)

Memory

-18.3MiB live, 921.3MiB allocated

Rules

16 358×	`lower-fma.f64`
16 358×	`lower-fma.f32`
16 120×	`lower-fma.f64`
16 120×	`lower-fma.f32`
12 248×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	306
1	118	306
2	310	296
3	910	294
4	1439	294
5	2227	294
6	3349	294
7	3639	294
8	4369	294
9	6831	294
0	8504	276
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12
0	21	106
0	40	104
1	156	104
2	1039	104
0	8819	104
0	25	131
0	47	125
1	185	123
2	1225	122
0	8854	121
0	125	1884
1	349	1878
2	939	1830
3	2839	1776
4	6206	1776
0	8656	1654
0	240	2741
1	712	2733
2	2007	2677
3	5231	2677
0	8236	2459

Stop Event

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

Compiler

Compiled 230 to 124 computations (46.1% saved)

preprocess134.0ms (1.4%)

Memory

23.1MiB live, 102.8MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 250 to 112 computations (55.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.1%)

sample1.2s (12.1%)

preprocess50.0ms (0.5%)

explain83.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize29.0ms (0.3%)

series10.0ms (0.1%)

rewrite93.0ms (1%)

simplify377.0ms (4%)

eval21.0ms (0.2%)

prune26.0ms (0.3%)

simplify170.0ms (1.8%)

localize94.0ms (1%)

series33.0ms (0.3%)

rewrite664.0ms (7%)

simplify1.2s (12.8%)

eval158.0ms (1.7%)

prune210.0ms (2.2%)

simplify336.0ms (3.5%)

localize163.0ms (1.7%)

series28.0ms (0.3%)

rewrite373.0ms (3.9%)

simplify404.0ms (4.2%)

eval232.0ms (2.4%)

prune220.0ms (2.3%)

simplify246.0ms (2.6%)

localize118.0ms (1.2%)

series26.0ms (0.3%)

rewrite520.0ms (5.5%)

simplify463.0ms (4.9%)

eval151.0ms (1.6%)

prune222.0ms (2.3%)

regimes104.0ms (1.1%)

regimes89.0ms (0.9%)

regimes67.0ms (0.7%)

regimes50.0ms (0.5%)

regimes25.0ms (0.3%)

regimes9.0ms (0.1%)

regimes17.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.1s (11.6%)

preprocess134.0ms (1.4%)

end0.0ms (0%)

Profiling