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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze86.0ms (1.1%)

Memory

-17.7MiB live, 21.8MiB 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)

sample1.1s (14.3%)

Memory

20.0MiB live, 1 522.2MiB allocated

Samples

886.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 483.0ms

ival-sin: 339.0ms (70.2% of total)

ival-div: 71.0ms (14.7% of total)

ival-mult: 64.0ms (13.3% of total)

ival-true: 6.0ms (1.2% of total)

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

Bogosity

explain67.0ms (0.9%)

Memory

-5.2MiB live, 134.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 12.0ms (61% of total)

ival-div: 4.0ms (20.3% of total)

ival-mult: 3.0ms (15.2% of total)

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

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

preprocess46.0ms (0.6%)

Memory

0.4MiB live, 39.1MiB 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 (sin.f64 y) y) x)

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

localize47.0ms (0.6%)

Memory

-6.2MiB live, 32.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0.09765625	(*.f64 x (/.f64 (sin.f64 y) y))
accuracy	0.13671875	(/.f64 (sin.f64 y) y)

Samples

42.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-sin: 7.0ms (68.8% of total)

ival-div: 2.0ms (19.7% of total)

ival-mult: 2.0ms (19.7% of total)

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

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

series7.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())

#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())

#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x (/.f64 (sin.f64 y) y)) (patch (.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify198.0ms (2.6%)

Memory

-3.4MiB live, 195.7MiB 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	920	294
4	1456	294
5	2250	294
6	3376	294
7	3667	294
8	4402	294
9	6851	294
0	8532	276

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite91.0ms (1.2%)

Memory

-1.2MiB live, 113.6MiB allocated

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

eval30.0ms (0.4%)

Memory: -14.6MiB live, 63.7MiB allocated
Compiler: Compiled 2 112 to 446 computations (78.9% saved)

prune27.0ms (0.4%)

Memory

6.6MiB live, 83.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	191	8	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	9	200

Accuracy

100.0%

Counts

200 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.1%	(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
	89.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	88.4%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	89.2%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
	60.6%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	49.3%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	50.2%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 130 to 113 computations (13.1% saved)

simplify69.0ms (0.9%)

Memory

-8.3MiB live, 80.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 y))
cost-diff	256	(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff	0	#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 y (sin.f64 y))
cost-diff	384	(/.f64 x (/.f64 y (sin.f64 y)))

Rules

804×	`times-frac`
320×	`lower-fma.f64`
320×	`lower-fma.f32`
320×	`lower-*.f32`
312×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	35	86
1	58	86
2	119	86
3	308	86
4	668	86
5	1313	86
6	1859	86
7	1915	86
8	1919	86
9	1921	86
10	1924	86
11	1925	86
0	1925	86

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

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

localize65.0ms (0.8%)

Memory

9.7MiB live, 125.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.13671875	(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy	0.234375	(/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))
accuracy	6.783169854141527	(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 x)
accuracy	0.14453125	(*.f64 (neg.f64 x) (sin.f64 y))
accuracy	6.884732354141527	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
accuracy	0	(/.f64 x y)
accuracy	0	(sin.f64 y)
accuracy	7.403802868622916	(*.f64 (/.f64 x y) (sin.f64 y))
accuracy	0.09765625	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	32.02382601009386	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0	(sin.f64 y)
accuracy	0.125	(/.f64 y (sin.f64 y))
accuracy	0.125	(/.f64 x (/.f64 y (sin.f64 y)))

Samples

44.0ms

256×

valid

Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 15.0ms (48.1% of total)

ival-mult: 8.0ms (25.6% of total)

ival-sin: 6.0ms (19.2% of total)

ival-neg: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

9.9MiB live, 47.2MiB allocated

Counts

15 → 276

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (sin.f64 y)) (patch (.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) (sin.f64 y)) (patch (.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) (sin.f64 y)) (patch (.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) (sin.f64 y)) (patch (.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) (sin.f64 y)) (patch (.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/6 (pow y 2)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (patch (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ x (/ -1 (sin y))) (/ (/ x (/ -1 (sin y))) (neg y)) (/ -1 (sin y)) (neg y))
3.0ms	y	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ x (/ -1 (sin y))) (/ (/ x (/ -1 (sin y))) (neg y)) (/ -1 (sin y)) (neg y))
2.0ms	y	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ x (/ -1 (sin y))) (/ (/ x (/ -1 (sin y))) (neg y)) (/ -1 (sin y)) (neg y))
2.0ms	x	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ x (/ -1 (sin y))) (/ (/ x (/ -1 (sin y))) (neg y)) (/ -1 (sin y)) (neg y))
1.0ms	y	@	0	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ x (/ -1 (sin y))) (/ (/ x (/ -1 (sin y))) (neg y)) (/ -1 (sin y)) (neg y))

simplify184.0ms (2.4%)

Memory

13.8MiB live, 246.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20 172×	`lower-fma.f64`
20 172×	`lower-fma.f32`
4 910×	`lower-*.f64`
4 910×	`lower-*.f32`
2 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1630
1	286	1624
2	783	1590
3	2413	1566
4	4253	1566
5	7678	1566
0	8215	1504

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 270

Calls

Call 1

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

Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(.f64 (.f64 x (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(.f64 (.f64 x (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x))
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (.f64 y y) #s(literal -7/360 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite96.0ms (1.3%)

Memory

-12.1MiB live, 148.6MiB allocated

Rules

1 880×	`lower-/.f32`
1 878×	`lower-*.f32`
1 870×	`lower-*.f64`
1 866×	`lower-/.f64`
864×	`frac-2neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	75
0	35	68
1	97	68
2	501	68
3	2693	65
0	9156	65

Stop Event

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

Counts

15 → 1 091

Calls

Call 1

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

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

eval408.0ms (5.3%)

Memory: 28.1MiB live, 383.5MiB allocated
Compiler: Compiled 19 365 to 2 152 computations (88.9% saved)

prune315.0ms (4.1%)

Memory

-15.2MiB live, 258.1MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 538	6	1 544
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	1 540	13	1 553

Accuracy

100.0%

Counts

1 553 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
▶	89.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
	88.8%	(/.f64 (sin.f64 y) (/.f64 y x))
	39.7%	(/.f64 #s(approx (/ x (/ -1 (sin y))) (*.f64 (neg.f64 y) x)) (neg.f64 y))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	60.1%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	60.2%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶	52.6%	(.f64 (/.f64 (.f64 y x) (*.f64 y y)) (sin.f64 y))
✓	88.4%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	89.2%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	49.3%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	50.2%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 179 to 146 computations (18.4% saved)

simplify196.0ms (2.6%)

Memory

6.7MiB live, 136.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (/.f64 (.f64 y x) (*.f64 y y)) (sin.f64 y))
cost-diff	640	(/.f64 (.f64 y x) (.f64 y y))
cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	#s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
cost-diff	0	(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(/.f64 (*.f64 (sin.f64 y) x) y)

Rules

4 396×	`lower-*.f32`
4 386×	`lower-*.f64`
2 976×	`lower-fma.f32`
2 970×	`lower-fma.f64`
1 824×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	50	166
1	81	164
2	137	162
3	220	162
4	611	162
5	2081	162
6	3257	162
7	4139	162
8	5248	162
9	6295	162
0	8038	162

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.8%)

Memory

-1.9MiB live, 84.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(sin.f64 y)
accuracy	7.403802868622916	(.f64 (/.f64 (.f64 y x) (*.f64 y y)) (sin.f64 y))
accuracy	22.585122833454896	(/.f64 (.f64 y x) (.f64 y y))
accuracy	0.18359375	(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy	0.234375	(/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
accuracy	6.783169854141527	(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
accuracy	32.17636067508395	#s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(*.f64 y y)
accuracy	0.125	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.15234375	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy	31.943735087835282	#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.09765625	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy	0.15234375	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	32.49611954259	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0.14453125	(*.f64 (sin.f64 y) x)
accuracy	6.783169854141527	(/.f64 (*.f64 (sin.f64 y) x) y)

Samples

92.0ms

256×

valid

Compiler

Compiled 126 to 30 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 14.0ms (32.4% of total)

ival-mult: 12.0ms (27.7% of total)

ival-sin: 7.0ms (16.2% of total)

const: 6.0ms (13.9% of total)

ival-add: 3.0ms (6.9% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory

-9.2MiB live, 28.6MiB allocated

Counts

17 → 312

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)) (patch (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 (sin.f64 y) x) y) (patch (/.f64 (.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) (patch (/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (patch (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (.f64 y y)) (patch (/.f64 (.f64 y x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) (patch (.f64 (/.f64 (.f64 y x) (.f64 y y)) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	y	@	inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (/ (/ x (/ -1 (sin y))) (neg y)) (/ x (/ -1 (sin y))) (/ -1 (sin y)) (+ (* y -1/6) (/ -1 y)) (/ (* y x) (* y y)) (* (/ (* y x) (* y y)) (sin y)) (* y x))
3.0ms	y	@	-inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (/ (/ x (/ -1 (sin y))) (neg y)) (/ x (/ -1 (sin y))) (/ -1 (sin y)) (+ (* y -1/6) (/ -1 y)) (/ (* y x) (* y y)) (* (/ (* y x) (* y y)) (sin y)) (* y x))
2.0ms	x	@	-inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (/ (/ x (/ -1 (sin y))) (neg y)) (/ x (/ -1 (sin y))) (/ -1 (sin y)) (+ (* y -1/6) (/ -1 y)) (/ (* y x) (* y y)) (* (/ (* y x) (* y y)) (sin y)) (* y x))
1.0ms	y	@	0	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (/ (/ x (/ -1 (sin y))) (neg y)) (/ x (/ -1 (sin y))) (/ -1 (sin y)) (+ (* y -1/6) (/ -1 y)) (/ (* y x) (* y y)) (* (/ (* y x) (* y y)) (sin y)) (* y x))
1.0ms	x	@	inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (/ (/ x (/ -1 (sin y))) (neg y)) (/ x (/ -1 (sin y))) (/ -1 (sin y)) (+ (* y -1/6) (/ -1 y)) (/ (* y x) (* y y)) (* (/ (* y x) (* y y)) (sin y)) (* y x))

simplify268.0ms (3.5%)

Memory

27.7MiB live, 213.6MiB allocated

Algorithm

1×	egg-herbie

Rules

25 492×	`lower-fma.f64`
25 492×	`lower-fma.f32`
5 390×	`lower-*.f64`
5 390×	`lower-*.f32`
3 162×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1868
1	334	1865
2	933	1831
3	2765	1789
4	4980	1789
0	8454	1698

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

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

Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(.f64 (.f64 x (fma.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (.f64 y y) #s(literal -7/360 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- (* -1/6 (pow y 2)) 1) y)
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(/ (- (* -1/6 (pow y 2)) 1) y)
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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)
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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)
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(* -1 (* y (+ 1/6 (/ 1 (pow y 2)))))
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite175.0ms (2.3%)

Memory

-30.3MiB live, 134.4MiB allocated

Rules

5 406×	`lower-fma.f32`
5 400×	`lower-fma.f64`
4 034×	`lower-*.f32`
4 024×	`lower-*.f64`
2 588×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	141
0	50	137
1	167	135
2	1023	133
0	8087	133

Stop Event

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

Counts

17 → 800

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(.f64 (/.f64 (sin.f64 y) (.f64 (neg.f64 y) y)) (*.f64 (neg.f64 x) y))
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 (.f64 x (sin.f64 y)) y) y) y)
(.f64 (.f64 (sin.f64 y) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(.f64 (.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) (*.f64 (sin.f64 y) y))
(.f64 (.f64 (*.f64 x (sin.f64 y)) y) (pow.f64 y #s(literal -2 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (.f64 x y) #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (*.f64 x (sin.f64 y)) y))
(.f64 (/.f64 x y) (/.f64 (.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) y)))
(.f64 (.f64 (neg.f64 x) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)))
(.f64 (.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (.f64 x y) (/.f64 (/.f64 (sin.f64 y) y) 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 (neg.f64 x) (sin.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (/.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(.f64 (.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(.f64 x (/.f64 (.f64 (sin.f64 y) y) (*.f64 y y)))
(.f64 x (.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y (/.f64 (/.f64 (sin.f64 y) y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 y (.f64 (/.f64 x y) (/.f64 (sin.f64 y) y)))
(.f64 y (.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))))
(.f64 y (/.f64 (/.f64 (.f64 x (sin.f64 y)) y) y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 y) y) (neg.f64 x)) y) (neg.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) y) #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (sin.f64 y) y) (neg.f64 x))) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (*.f64 x (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal -1 binary64)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) (*.f64 y y))
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(-.f64 (.f64 (.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal -1/6 binary64) y (pow.f64 y #s(literal -1 binary64))))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal -1/6 binary64) y (pow.f64 y #s(literal -1 binary64)))))
(-.f64 (*.f64 #s(literal -1/6 binary64) y) (pow.f64 y #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/36 binary64) y) (/.f64 y (fma.f64 #s(literal -1/6 binary64) y (pow.f64 y #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal -1/6 binary64) y (pow.f64 y #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal -1 binary64) y))
(+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/6 binary64) y))
(.f64 (/.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 y y))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (.f64 (neg.f64 x) y))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) y)
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 y) y)))
(.f64 (neg.f64 x) (.f64 y (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(.f64 (neg.f64 x) (/.f64 (neg.f64 y) (.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x y) (pow.f64 y #s(literal -2 binary64)))
(.f64 (neg.f64 y) (.f64 x (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(.f64 (neg.f64 y) (/.f64 (neg.f64 x) (.f64 y y)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 x y) (neg.f64 y)))
(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 y) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(.f64 y (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (.f64 y y))
(/.f64 (/.f64 x #s(literal 1 binary64)) y)
(/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (.f64 x y) (.f64 y y))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(/.f64 y (*.f64 y (/.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(.f64 (/.f64 (sin.f64 y) (.f64 (neg.f64 y) y)) (*.f64 (neg.f64 x) y))
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 (.f64 x (sin.f64 y)) y) y) y)
(.f64 (.f64 (sin.f64 y) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(.f64 (.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) (*.f64 (sin.f64 y) y))
(.f64 (.f64 (*.f64 x (sin.f64 y)) y) (pow.f64 y #s(literal -2 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (.f64 x y) #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (*.f64 x (sin.f64 y)) y))
(.f64 (/.f64 x y) (/.f64 (.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) y)))
(.f64 (.f64 (neg.f64 x) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)))
(.f64 (.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (.f64 x y) (/.f64 (/.f64 (sin.f64 y) y) 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 (neg.f64 x) (sin.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (/.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(.f64 (.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(.f64 x (/.f64 (.f64 (sin.f64 y) y) (*.f64 y y)))
(.f64 x (.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -2 binary64))))
(.f64 x (.f64 y (/.f64 (/.f64 (sin.f64 y) y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 y (.f64 (/.f64 x y) (/.f64 (sin.f64 y) y)))
(.f64 y (.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))))
(.f64 y (/.f64 (/.f64 (.f64 x (sin.f64 y)) y) y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (.f64 (.f64 (sin.f64 y) y) (neg.f64 x)) y) (neg.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) y) #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (sin.f64 y) y) (neg.f64 x))) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (*.f64 x (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(/.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal -1 binary64)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) (*.f64 y y))
(/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (.f64 (sin.f64 y) y) (.f64 y (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (sin.f64 y) y) (neg.f64 x)) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 x (sin.f64 y)) y) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) y) (.f64 y (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 x y) (.f64 y (/.f64 y (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (/.f64 (.f64 (.f64 (sin.f64 y) y) (neg.f64 x)) (*.f64 y y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)))
(neg.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) y) (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(neg.f64 (.f64 (neg.f64 y) (/.f64 (/.f64 (.f64 x (sin.f64 y)) y) y)))
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 (.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (.f64 x y))
(*.f64 x y)
(*.f64 y x)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval338.0ms (4.4%)

Memory: 16.9MiB live, 219.1MiB allocated
Compiler: Compiled 17 747 to 2 493 computations (86% saved)

prune325.0ms (4.2%)

Memory

-22.1MiB live, 219.9MiB allocated

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	1 228	24	1 252
Fresh	2	1	3
Picked	3	2	5
Done	0	5	5
Total	1 233	32	1 265

Accuracy

100.0%

Counts

1 265 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))
	14.5%	(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) #s(approx (+ (* y -1/6) (/ -1 y)) (*.f64 y #s(literal -1/6 binary64))))) (neg.f64 y))
	49.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x)) (neg.f64 y))
✓	89.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
	38.5%	(/.f64 (*.f64 y (/.f64 (/.f64 x y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (neg.f64 y))
	49.3%	(/.f64 (.f64 x y) (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) y))
▶	88.8%	(/.f64 (sin.f64 y) (/.f64 y x))
	39.7%	(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	60.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	60.2%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
	60.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
	60.2%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
	14.4%	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 x y)))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x))
▶	49.4%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)))
	49.1%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
✓	52.6%	(.f64 (/.f64 (.f64 y x) (*.f64 y y)) (sin.f64 y))
	29.4%	(*.f64 (/.f64 y #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 x y) (neg.f64 y)))
	49.8%	(*.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y))
	48.8%	(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
✓	88.4%	(*.f64 (/.f64 x y) (sin.f64 y))
	60.3%	(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (neg.f64 x))
✓	89.2%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
	60.2%	(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y)))
	49.3%	(.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x)
▶	48.9%	(.f64 y (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	50.2%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	49.3%	#s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))

Compiler

Compiled 623 to 510 computations (18.1% saved)

simplify116.0ms (1.5%)

Memory

17.1MiB live, 134.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x))
cost-diff	192	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)))
cost-diff	256	(*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
cost-diff	1024	(.f64 y (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
cost-diff	0	(/.f64 y x)
cost-diff	0	(sin.f64 y)
cost-diff	384	(/.f64 (sin.f64 y) (/.f64 y x))

Rules

2 456×	`lower-fma.f32`
2 450×	`lower-fma.f64`
2 344×	`lower-*.f32`
2 330×	`lower-*.f64`
1 192×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	249
0	63	246
1	97	246
2	165	242
3	407	237
4	1096	237
5	2706	237
6	5539	237
7	7117	237
8	7785	237
9	7972	237
0	8078	237

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.4%)

Memory

-3.9MiB live, 161.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)))
accuracy	0.27734375	(/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x))
accuracy	6.970515665107826	(*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))
accuracy	32.17636067508395	#s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))
accuracy	0.12337875976844201	(/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
accuracy	0.33203125	(*.f64 #s(literal -1/6 binary64) y)
accuracy	15.244818396673928	(.f64 y (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
accuracy	32.07808817658992	#s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))
accuracy	0.0859375	(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
accuracy	0.125	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
accuracy	0.33203125	(*.f64 #s(literal 1/6 binary64) y)
accuracy	31.943735087835282	#s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
accuracy	0.09765625	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
accuracy	0.23828125	(.f64 (.f64 y y) #s(literal -1/6 binary64))
accuracy	30.235755832499155	#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
accuracy	32.49611954259	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
accuracy	0	(/.f64 y x)
accuracy	0	(sin.f64 y)
accuracy	7.167870548810081	(/.f64 (sin.f64 y) (/.f64 y x))

Samples

78.0ms

256×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 25.0ms (43% of total)

ival-mult: 13.0ms (22.4% of total)

ival-sin: 7.0ms (12% of total)

const: 7.0ms (12% of total)

ival-add: 4.0ms (6.9% of total)

ival-neg: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series308.0ms (4%)

Memory

-1.9MiB live, 71.6MiB allocated

Counts

20 → 360

Calls

Call 1

Inputs
#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (patch #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (patch #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal -1/6 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) y) (patch (.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) (patch (.f64 y (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (patch (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) (patch (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (patch (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) y) (patch (.f64 #s(literal -1/6 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ y (* x (sin y)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) (patch (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (sin y)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) (patch (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (sin y)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) (patch (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (patch (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (patch (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (patch (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (patch (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	y	@	inf	((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (* 1/6 y) y) 1) (* 1/6 y) (* y (/ (/ x y) (/ y (sin y)))) (/ (/ x y) (/ y (sin y))) (/ x y) (/ y (sin y)) (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/ -1 (* (/ (/ -1 (sin y)) (neg x)) (neg y))) (/ (/ -1 (sin y)) (neg x)) (/ -1 (sin y)) (* -1/6 y))
3.0ms	y	@	-inf	((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (* 1/6 y) y) 1) (* 1/6 y) (* y (/ (/ x y) (/ y (sin y)))) (/ (/ x y) (/ y (sin y))) (/ x y) (/ y (sin y)) (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/ -1 (* (/ (/ -1 (sin y)) (neg x)) (neg y))) (/ (/ -1 (sin y)) (neg x)) (/ -1 (sin y)) (* -1/6 y))
3.0ms	x	@	-inf	((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (* 1/6 y) y) 1) (* 1/6 y) (* y (/ (/ x y) (/ y (sin y)))) (/ (/ x y) (/ y (sin y))) (/ x y) (/ y (sin y)) (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/ -1 (* (/ (/ -1 (sin y)) (neg x)) (neg y))) (/ (/ -1 (sin y)) (neg x)) (/ -1 (sin y)) (* -1/6 y))
3.0ms	x	@	0	((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (* 1/6 y) y) 1) (* 1/6 y) (* y (/ (/ x y) (/ y (sin y)))) (/ (/ x y) (/ y (sin y))) (/ x y) (/ y (sin y)) (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/ -1 (* (/ (/ -1 (sin y)) (neg x)) (neg y))) (/ (/ -1 (sin y)) (neg x)) (/ -1 (sin y)) (* -1/6 y))
2.0ms	y	@	0	((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (* 1/6 y) y) 1) (* 1/6 y) (* y (/ (/ x y) (/ y (sin y)))) (/ (/ x y) (/ y (sin y))) (/ x y) (/ y (sin y)) (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/ -1 (* (/ (/ -1 (sin y)) (neg x)) (neg y))) (/ (/ -1 (sin y)) (neg x)) (/ -1 (sin y)) (* -1/6 y))

simplify460.0ms (6%)

Memory

-10.4MiB live, 303.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 666×	`lower-fma.f64`
19 666×	`lower-fma.f32`
4 464×	`lower-*.f64`
4 464×	`lower-*.f32`
2 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	2250
1	330	2250
2	875	2216
3	2564	2189
4	4582	2185
5	6954	2185
0	8014	2090

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 354

Calls

Call 1

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

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

rewrite210.0ms (2.7%)

Memory

15.5MiB live, 264.4MiB allocated

Rules

5 690×	`lower-fma.f32`
5 684×	`lower-fma.f64`
4 522×	`lower-*.f32`
4 508×	`lower-*.f64`
3 144×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	210
0	63	207
1	203	203
2	1134	202
0	8923	202

Stop Event

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

Counts

20 → 726

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 y) y)) y)
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (sin.f64 y)) x) y) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (sin.f64 y)) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (sin.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (sin.f64 y) x))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) (pow.f64 (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 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 (sin.f64 y)) x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) #s(literal -1 binary64)) y)
(/.f64 (.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 (.f64 x x))) x)
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 y)) x)) (neg.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) #s(literal 1 binary64)) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x)) y)
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) y) #s(literal -1 binary64))
(/.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) y)
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (.f64 (sin.f64 y) (neg.f64 (.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (.f64 (sin.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 y) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
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(*.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(pow.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (neg.f64 (.f64 x x))) x)
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 (neg.f64 y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (neg.f64 y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 y x))
(/.f64 (pow.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
(/.f64 (/.f64 (/.f64 x y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 x (*.f64 (neg.f64 y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(neg.f64 (/.f64 (/.f64 x y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (neg.f64 y) x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal 0 binary64)) (/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 (.f64 x x))) x)
(*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)))
(pow.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x)))))
(/.f64 (/.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) x)
(/.f64 (*.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) x)
(/.f64 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) x)
(/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(neg.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)))
(*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))
#s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(.f64 (.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 y #s(literal -1/6 binary64))

eval136.0ms (1.8%)

Memory: 4.2MiB live, 270.9MiB allocated
Compiler: Compiled 14 939 to 2 124 computations (85.8% saved)

prune216.0ms (2.8%)

Memory

1.5MiB live, 371.6MiB allocated

Pruning

48 alts after pruning (38 fresh and 10 done)

	Pruned	Kept	Total
New	1 058	22	1 080
Fresh	4	16	20
Picked	2	3	5
Done	0	7	7
Total	1 064	48	1 112

Accuracy

100.0%

Counts

1 112 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))
	14.5%	(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) #s(approx (+ (* y -1/6) (/ -1 y)) (*.f64 y #s(literal -1/6 binary64))))) (neg.f64 y))
	49.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x)) (neg.f64 y))
	49.2%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 y x))
	49.9%	(/.f64 (.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) y) y)
	49.0%	(/.f64 (.f64 (/.f64 x y) y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
✓	89.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
	38.5%	(/.f64 (*.f64 y (/.f64 (/.f64 x y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (neg.f64 y))
	49.3%	(/.f64 (.f64 y x) (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) y))
✓	88.8%	(/.f64 (sin.f64 y) (/.f64 y x))
	39.7%	(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	60.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	60.2%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
	60.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
	60.2%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
	14.4%	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* (* 1/6 y) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x))
	30.8%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (.f64 (neg.f64 y) y)) y))
	32.4%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (neg.f64 y) y) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (*.f64 y x)))
	30.1%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 y y) (.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) y)))
	48.7%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
	49.4%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) y))
	49.1%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
	60.1%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (neg.f64 x))))
	50.1%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/.f64 #s(literal -1 binary64) x)))
✓	52.6%	(.f64 (/.f64 (.f64 y x) (*.f64 y y)) (sin.f64 y))
	49.0%	(.f64 (/.f64 y #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 x y))
	29.4%	(*.f64 (/.f64 y #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 x y) (neg.f64 y)))
	49.8%	(*.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y))
	48.8%	(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
✓	88.4%	(*.f64 (/.f64 x y) (sin.f64 y))
	60.3%	(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (neg.f64 x))
✓	89.2%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
	60.2%	(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y)))
	60.2%	(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))))
	30.1%	(.f64 y (/.f64 (.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
	48.8%	(.f64 y (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
	48.9%	(.f64 y (/.f64 x (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) y)))
	48.8%	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 y x))))
	48.8%	(.f64 y (.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y)))
	48.8%	(.f64 y (.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))))
	48.0%	(*.f64 y #s(approx (/ (/ x y) (/ y (sin y))) (/.f64 x y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
✓	50.2%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	49.3%	#s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))

Compiler

Compiled 1 269 to 631 computations (50.3% saved)

regimes83.0ms (1.1%)

Memory

2.3MiB live, 196.5MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 y #s(approx (/ (/ x y) (/ y (sin y))) (/.f64 x y)))
(.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 #s(approx (/ x (/ -1 (sin y))) (*.f64 (neg.f64 y) x)) (neg.f64 y))
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* (* 1/6 y) y) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) #s(approx (+ (* y -1/6) (/ -1 y)) (*.f64 y #s(literal -1/6 binary64))))) (neg.f64 y))
(.f64 y (/.f64 x (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) y)))
(/.f64 (.f64 x y) (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) y))
(/.f64 (.f64 y x) (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (/ -1 (sin y)) (neg x)) (neg y)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (neg.f64 x))))
(.f64 y (/.f64 (/.f64 x y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
(.f64 (/.f64 y #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 x y))
(/.f64 (.f64 (/.f64 x y) y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) y) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
(/.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 y x))))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x) y))
(.f64 y (.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))))
(.f64 y (.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y)))
(.f64 y (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 y x))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal -1 binary64) y)))
(.f64 y (/.f64 (.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 y) y)) y) #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) x)) (neg.f64 y))
(*.f64 (/.f64 y #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 x y) (neg.f64 y)))
(/.f64 (*.f64 y (/.f64 (/.f64 x y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (neg.f64 y) y) (neg.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))))) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 y y) (.f64 (/.f64 x #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 x)) (.f64 (neg.f64 y) y)) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
(.f64 (/.f64 (.f64 y x) (*.f64 y y)) (sin.f64 y))
(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))

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

Calls

4 calls:

21.0ms	y
21.0ms	(/.f64 (sin.f64 y) y)
19.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
18.0ms	x

Results

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

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes165.0ms (2.1%)

Memory

-14.9MiB live, 106.5MiB allocated

Counts

52 → 1

Calls

Call 1

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

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

Calls

4 calls:

92.0ms	(/.f64 (sin.f64 y) y)
32.0ms	x
24.0ms	y
14.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
60.3%	1	`x`
60.3%	1	`y`
60.3%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
60.3%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes21.0ms (0.3%)

Memory

13.0MiB live, 50.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.f64 (sin.f64 y) y)
4.0ms	y
4.0ms	x
4.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
60.2%	1	`x`
60.2%	1	`(/.f64 (sin.f64 y) y)`
60.2%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
60.2%	1	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes20.0ms (0.3%)

Memory

2.3MiB live, 40.1MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	x
4.0ms	y
4.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
59.3%	2	`x`
60.2%	2	`y`
60.1%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
60.2%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes13.0ms (0.2%)

Memory

-12.2MiB live, 24.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
59.3%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
59.4%	2	`y`
59.4%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes10.0ms (0.1%)

Memory

31.0MiB live, 31.0MiB allocated

Accuracy

Total -30.6b remaining (-96%)

Threshold costs -30.6b (-96%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`x`
50.2%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
50.2%	1	`y`
50.2%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006009540506349041	0.9999999999999994

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006009540506349041	0.9999999999999994

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify27.0ms (0.3%)

Memory

-20.5MiB live, 64.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	124
1	54	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))) #s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 y #s(approx (/ (/ x y) (/ y (sin y))) (/.f64 x y))) #s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))) #s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) #s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 y #s(approx (/ (/ x y) (/ y (sin y))) (/.f64 x y))) #s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (/ x y) (/ y (sin y))) (/.f64 x y)) y) #s(approx (/ (/ x (/ -1 (sin y))) (neg y)) (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)

soundness1.3s (16.7%)

Memory

2.8MiB live, 965.3MiB allocated

Rules

25 492×	`lower-fma.f64`
25 492×	`lower-fma.f32`
20 172×	`lower-fma.f64`
20 172×	`lower-fma.f32`
19 666×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	306
1	118	306
2	310	296
3	920	294
4	1456	294
5	2250	294
6	3376	294
7	3667	294
8	4402	294
9	6851	294
0	8532	276
0	112	1868
1	334	1865
2	933	1831
3	2765	1789
4	4980	1789
0	8454	1698
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12
0	102	1630
1	286	1624
2	783	1590
3	2413	1566
4	4253	1566
5	7678	1566
0	8215	1504
0	29	141
0	50	137
1	167	135
2	1023	133
0	8087	133
0	127	2250
1	330	2250
2	875	2216
3	2564	2189
4	4582	2185
5	6954	2185
0	8014	2090

Stop Event

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

Compiler

Compiled 231 to 148 computations (35.9% saved)

preprocess163.0ms (2.1%)

Memory

-9.9MiB live, 188.5MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 234 to 134 computations (42.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze86.0ms (1.1%)

sample1.1s (14.3%)

explain67.0ms (0.9%)

preprocess46.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize47.0ms (0.6%)

series7.0ms (0.1%)

simplify198.0ms (2.6%)

rewrite91.0ms (1.2%)

eval30.0ms (0.4%)

prune27.0ms (0.4%)

simplify69.0ms (0.9%)

localize65.0ms (0.8%)

series20.0ms (0.3%)

simplify184.0ms (2.4%)

rewrite96.0ms (1.3%)

eval408.0ms (5.3%)

prune315.0ms (4.1%)

simplify196.0ms (2.6%)

localize140.0ms (1.8%)

series54.0ms (0.7%)

simplify268.0ms (3.5%)

rewrite175.0ms (2.3%)

eval338.0ms (4.4%)

prune325.0ms (4.2%)

simplify116.0ms (1.5%)

localize106.0ms (1.4%)

series308.0ms (4%)

simplify460.0ms (6%)

rewrite210.0ms (2.7%)

eval136.0ms (1.8%)

prune216.0ms (2.8%)

regimes83.0ms (1.1%)

regimes165.0ms (2.1%)

regimes21.0ms (0.3%)

regimes20.0ms (0.3%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

soundness1.3s (16.7%)

preprocess163.0ms (2.1%)

end0.0ms (0%)

Profiling