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

analyze14.0ms (0.2%)

Memory

-5.5MiB live, 36.7MiB 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)

sample886.0ms (9.9%)

Memory

9.8MiB live, 1 352.4MiB allocated

Samples

617.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-sin: 292.0ms (68.6% of total)

ival-div: 65.0ms (15.3% of total)

ival-mult: 59.0ms (13.9% of total)

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

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess46.0ms (0.5%)

Memory

8.5MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	46	32
2	122	32
3	323	32
4	1107	32
5	1811	32
6	1904	32
7	1938	32
8	1966	32
9	1978	32
10	1978	32
0	5	6
0	8	6
1	11	6
2	13	6
3	15	6
4	16	6
0	16	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain70.0ms (0.8%)

Memory

-11.9MiB live, 146.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 48 to 24 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 16.0ms (69.5% of total)

ival-div: 4.0ms (17.4% of total)

ival-mult: 3.0ms (13% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.3%)

Memory

11.1MiB live, 51.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-sin: 6.0ms (61.6% of total)

ival-div: 2.0ms (20.5% of total)

ival-mult: 2.0ms (20.5% of total)

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

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

series9.0ms (0.1%)

Memory

-22.0MiB live, 14.5MiB 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 (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>) () ())) ())
#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 (/ (* 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 (/ (* 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 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 (/ (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) 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 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 (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 (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>) () ())) ())

Calls

12 calls:

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

simplify588.0ms (6.6%)

Memory

-14.8MiB live, 516.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite170.0ms (1.9%)

Memory

12.5MiB live, 92.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 153

Calls

Call 1

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

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

eval21.0ms (0.2%)

Memory: 8.2MiB live, 46.7MiB allocated
Compiler: Compiled 2 248 to 440 computations (80.4% saved)

prune34.0ms (0.4%)

Memory

17.4MiB live, 94.1MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	189	10	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	11	200

Accuracy

100.0%

Counts

200 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.4%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	35.3%	(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y y))
	90.0%	(*.f64 (/.f64 x y) (sin.f64 y))
	88.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	48.1%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y))
	48.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶	48.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶	48.9%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	48.1%	#s(approx (* x (/ (sin y) y)) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))

Compiler

Compiled 230 to 139 computations (39.6% saved)

simplify39.0ms (0.4%)

Memory

-19.5MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

110×	`lower-*.f32`
96×	`lower-*.f64`
48×	`lower-/.f32`
40×	`lower-/.f64`
32×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	139
0	40	139
1	61	139
2	72	135
3	77	135
4	84	135
5	84	135
6	132	135
7	137	135
8	144	135
9	149	135
10	149	135
0	149	131

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

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

localize73.0ms (0.8%)

Memory

16.2MiB live, 131.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	88.4%	(/.f64 (*.f64 x (sin.f64 y)) y)
✓	accuracy	99.8%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y))
✓	accuracy	99.8%	(/.f64 #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)) y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	48.1%	#s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y))
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	48.0%	#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
✓	accuracy	48.6%	#s(approx (/ (sin y) y) #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(/.f64 y (sin.f64 y))
✓	accuracy	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))

Samples

47.0ms

256×

valid

Compiler

Compiled 98 to 20 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 12.0ms (37.5% of total)

ival-div: 7.0ms (21.9% of total)

ival-sin: 7.0ms (21.9% of total)

const: 4.0ms (12.5% of total)

ival-add: 2.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-7.6MiB live, 33.9MiB allocated

Counts

16 → 264

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

Outputs
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#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 0 x) (#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 0 x) (#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 0 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 x) (#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 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#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 (/ (* 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 (/ (* 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 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 (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.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>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.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>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.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>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.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>) () ())) ())
#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 (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 (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 #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 (sin y)) y) (taylor 0 x) (#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 (sin y)) y) (taylor 0 x) (#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 (sin y)) y) (taylor 0 x) (#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>) () ())) ())
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#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (patch (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (patch (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (patch (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 3)) (taylor -inf y) (#s(alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (patch (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (patch (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (patch (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (patch (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (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 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (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 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (.f64 x (sin.f64 y)) y) (patch (/.f64 (.f64 x (sin.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<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 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (.f64 x (sin.f64 y)) (patch (.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y y)) (patch (.f64 #s(literal -1/6 binary64) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/ y (sin y))
2.0ms	y	@	-inf	(* y -1/6)
1.0ms	x	@	inf	(* x (/ (sin y) y))
0.0ms	y	@	inf	(+ (* y (* y -1/6)) 1)
0.0ms	y	@	inf	(/ y (sin y))

simplify497.0ms (5.6%)

Memory

5.1MiB live, 429.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 208×	`lower-fma.f64`
12 208×	`lower-fma.f32`
3 722×	`lower-*.f64`
3 722×	`lower-*.f32`
2 330×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1674
1	210	1644
2	579	1620
3	1759	1606
4	4284	1606
5	7982	1606
0	8025	1516

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

Calls

Call 1

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

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

rewrite548.0ms (6.1%)

Memory

-8.7MiB live, 474.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 634×	`lower-fma.f32`
6 630×	`lower-fma.f64`
5 066×	`lower-*.f32`
5 052×	`lower-*.f64`
2 602×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	40	121
1	112	117
2	534	117
3	4040	117
0	8335	113

Stop Event

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

Counts

16 → 563

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

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

eval120.0ms (1.3%)

Memory: 12.4MiB live, 214.3MiB allocated
Compiler: Compiled 15 412 to 1 634 computations (89.4% saved)

prune113.0ms (1.3%)

Memory

-0.5MiB live, 273.8MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	829	17	846
Fresh	0	5	5
Picked	2	3	5
Done	0	1	1
Total	831	26	857

Accuracy

100.0%

Counts

857 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	(/.f64 (*.f64 x (sin.f64 y)) y)
	36.7%	(/.f64 #s(approx (* x (sin y)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) (*.f64 x y))) y)
	37.4%	(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	59.8%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	59.9%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
	60.0%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	35.3%	(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y y))
▶	90.0%	(*.f64 (/.f64 x y) (sin.f64 y))
	39.2%	(.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
	88.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
▶	36.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))))
	39.1%	(.f64 (neg.f64 #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	26.7%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (/.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y))
	48.1%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 (.f64 y (*.f64 y y)) #s(literal -1/6 binary64) y)) y))
	26.7%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 (.f64 y #s(literal -1/6 binary64)) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y))
▶	47.6%	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y))
	26.5%	(.f64 x (/.f64 #s(approx (sin y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (.f64 y (fma.f64 y (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64))) (neg.f64 y))))) y))
▶	3.0%	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y))
	48.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	48.1%	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	47.6%	(.f64 x #s(approx (/ (sin y) y) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
▶	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	48.9%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	48.1%	#s(approx (* x (/ (sin y) y)) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x))

Compiler

Compiled 848 to 457 computations (46.1% saved)

simplify463.0ms (5.2%)

Memory

7.7MiB live, 241.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
✓	cost-diff	0	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y))
✓	cost-diff	0	#s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))
✓	cost-diff	0	(.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))))
✓	cost-diff	0	#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))
✓	cost-diff	0	#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))))
✓	cost-diff	0	(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y)
✓	cost-diff	0	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	#s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	cost-diff	0	#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) (sin.f64 y))

Rules

3 296×	`lower-fma.f32`
3 290×	`lower-fma.f64`
2 528×	`lower-*.f32`
2 502×	`lower-*.f64`
1 398×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	375
0	68	351
1	117	343
2	165	331
3	220	321
4	332	321
5	476	321
6	714	321
7	991	321
8	1481	321
9	2616	321
10	3421	321
11	3872	321
12	4238	321
13	4342	321
14	4574	321
15	5577	321
16	5992	321
17	6003	321
18	6006	321
19	6007	321
20	6018	321
21	6041	321
22	6047	321
23	6047	321
24	6078	321
25	6084	321
26	6084	321
27	6084	321
28	6258	321
29	7285	321
0	7285	305

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y))
x
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y)
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
#s(literal -1/6 binary64)
(.f64 y (.f64 y y))
y
(*.f64 y y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
x
#s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y))
x
(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y)
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
(*.f64 y y)
y
(.f64 (.f64 y y) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

Outputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 x y)
x
y
(sin.f64 y)
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
#s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))
#s(approx (+ (* y (* y -1/6)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y))
(.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
x
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y)
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) y)
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))))
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
#s(literal -1/6 binary64)
(.f64 y (.f64 y y))
y
(*.f64 y y)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))))
(.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
(.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
x
#s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))
#s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y))
(.f64 (/.f64 x y) #s(approx (sin y) (/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64)))))
x
(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
(/.f64 #s(approx (sin y) (/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)
#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
#s(approx (sin y) (/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y)
(.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 y (.f64 y y)) (*.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))
(*.f64 y y)
y
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize223.0ms (2.5%)

Memory

-17.5MiB live, 239.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/36 binary64))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	67.7%	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
✓	accuracy	48.1%	#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	88.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))))
✓	accuracy	48.1%	#s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))
✓	accuracy	99.8%	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
✓	accuracy	99.8%	(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y)
✓	accuracy	54.4%	#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))
✓	accuracy	48.1%	#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	53.4%	#s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))
✓	accuracy	48.0%	#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	90.0%	(*.f64 (/.f64 x y) (sin.f64 y))

Samples

73.0ms

256×

valid

Compiler

Compiled 200 to 33 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 23.0ms (43% of total)

const: 10.0ms (18.7% of total)

ival-sin: 8.0ms (15% of total)

ival-div: 7.0ms (13.1% of total)

ival-add: 5.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

-3.0MiB live, 36.8MiB allocated

Counts

22 → 348

Calls

Call 1

Inputs
#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 (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (patch #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (patch #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 y #s(literal -1/6 binary64))) (patch (.f64 y (.f64 y #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))) y)) (patch (.f64 x (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))) y) (patch (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y) #<representation binary64>) () ())
#s(alt #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))))) (patch #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)))) (patch #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))) (patch (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)) (patch #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)) (patch (.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (patch (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (patch #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -1/6 binary64)) (patch (.f64 y #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) (patch (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<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 (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 x y) (sin.f64 y)) (patch (.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf 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 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#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 y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x 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 (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 (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 #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1/6 (pow y 3)) (taylor -inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) (patch (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 3)) (taylor -inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) (patch (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 3)) (taylor -inf y) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) (patch (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ (* (+ (* (* y y) (* (* y y) 1/36)) -1) y) (+ (* y (* y -1/6)) -1))
1.0ms	y	@	0	(/ (* (+ (* (* y y) (* (* y y) 1/36)) -1) y) (+ (* y (* y -1/6)) -1))
0.0ms	x	@	-inf	(/ x y)
0.0ms	y	@	0	(/ x y)
0.0ms	y	@	inf	(* (* y y) 1/36)

simplify628.0ms (7%)

Memory

-13.5MiB live, 506.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 158×	`lower-fma.f64`
11 158×	`lower-fma.f32`
3 556×	`lower-*.f64`
3 556×	`lower-*.f32`
2 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	2046
1	173	1986
2	470	1962
3	1454	1948
4	3748	1948
5	7197	1948
0	8283	1843

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 337

Calls

Call 1

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

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

rewrite779.0ms (8.7%)

Memory

37.4MiB live, 666.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 276×	`lower-fma.f32`
14 270×	`lower-fma.f64`
5 920×	`lower-*.f32`
5 894×	`lower-*.f64`
3 210×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	300
0	68	245
1	207	231
2	1037	229
0	8912	215

Stop Event

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

Counts

22 → 594

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(sin.f64 y)
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y))
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y)
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))))
(/.f64 #s(literal 1 binary64) y)
(.f64 x #s(approx (sin y) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
#s(approx (sin y) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y))
(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y))
(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 y #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(.f64 (.f64 y y) #s(literal 1/36 binary64))

Outputs
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (sin.f64 y)))
(neg.f64 (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y))))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(neg.f64 (.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y)
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 y)) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.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 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(.f64 (.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #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 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(neg.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(.f64 y (neg.f64 (.f64 y #s(literal 1/6 binary64))))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 y (neg.f64 y))))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 y #s(literal -1/6 binary64)) y)
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(.f64 (neg.f64 y) (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(.f64 (.f64 y (neg.f64 y)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 y (neg.f64 y)))
(.f64 (neg.f64 (.f64 y #s(literal -1/6 binary64))) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))
(neg.f64 (.f64 (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 y)) x))
(neg.f64 (.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 y))))
(neg.f64 (.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (/.f64 x (neg.f64 y))))
(neg.f64 (.f64 (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) (neg.f64 y)))
(neg.f64 (/.f64 (.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 x)) y))
(/.f64 x (/.f64 y #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) y)
(/.f64 (.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 x))) y)
(pow.f64 (/.f64 y (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))) #s(literal -1 binary64))
(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) y))
(.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(.f64 (/.f64 x y) (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))
(.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (/.f64 x y))
(.f64 (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) y) x)
(.f64 (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) y) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))))
(.f64 (neg.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (.f64 (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
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(.f64 (.f64 (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)
(.f64 (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/6 binary64))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (*.f64 y #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 2 binary64))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/6 binary64)))
(.f64 y (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/36 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/36 binary64)))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64)))
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/36 binary64)) y)
(.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/6 binary64)) y)

eval156.0ms (1.8%)

Memory: 4.3MiB live, 273.7MiB allocated
Compiler: Compiled 20 058 to 1 922 computations (90.4% saved)

prune164.0ms (1.8%)

Memory

20.8MiB live, 296.2MiB allocated

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	981	14	995
Fresh	7	10	17
Picked	2	3	5
Done	0	4	4
Total	990	31	1 021

Accuracy

100.0%

Counts

1 021 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	(/.f64 (*.f64 x (sin.f64 y)) y)
	3.0%	(/.f64 (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) y)
	37.4%	(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	59.8%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	59.9%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
	60.0%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	35.3%	(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y y))
✓	90.0%	(*.f64 (/.f64 x y) (sin.f64 y))
	39.2%	(.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
▶	88.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
▶	3.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
	37.2%	(.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( x (sin y)) (*.f64 x y)))
	3.8%	(.f64 (neg.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	26.7%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (/.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y))
	48.1%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 (.f64 y (*.f64 y y)) #s(literal -1/6 binary64) y)) y))
▶	47.6%	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y))
	47.6%	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y))
	47.3%	(.f64 x (/.f64 #s(approx (sin y) (.f64 (/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) y))
	47.2%	(.f64 x (/.f64 #s(approx (sin y) (.f64 (/.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))))) y))
	26.5%	(.f64 x (/.f64 #s(approx (sin y) (.f64 (.f64 y (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y))
	3.0%	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (/.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)))) y))
▶	3.0%	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y))
✓	3.0%	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y))
	48.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))))
▶	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	48.9%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	48.1%	#s(approx (* (/ x y) (sin y)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x))

Compiler

Compiled 1 022 to 550 computations (46.2% saved)

simplify274.0ms (3.1%)

Memory

-34.9MiB live, 402.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y)
✓	cost-diff	0	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y))
✓	cost-diff	1088	(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))
✓	cost-diff	0	(.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
✓	cost-diff	0	#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))
✓	cost-diff	0	#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))))
✓	cost-diff	0	(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y)
✓	cost-diff	0	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y))
✓	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	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))

Rules

4 924×	`lower-fma.f32`
4 920×	`lower-fma.f64`
3 290×	`lower-*.f32`
3 260×	`lower-*.f64`
1 792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	439
0	71	425
1	126	423
2	196	381
3	283	369
4	385	359
5	536	359
6	905	359
7	1542	359
8	2792	359
9	4373	359
10	6303	359
11	7119	359
12	7426	359
13	7496	359
14	7535	359
15	7927	359
0	8051	343

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(.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 (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y))
x
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y)
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y y)
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
x
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y))
x
(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y)
#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y)
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
(*.f64 y y)
y
(.f64 (.f64 y y) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

Outputs
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
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 #s(literal -1/6 binary64) (.f64 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 #s(literal -1/6 binary64) (.f64 y y)))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(*.f64 y y)
y
#s(literal -1/6 binary64)
(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y))
(.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (/.f64 x y))
x
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y)
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) y)
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))
(.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 y y)
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (/.f64 x y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
x
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y))
(.f64 #s(approx (sin y) (/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) (/.f64 x y))
x
(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y)
(/.f64 #s(approx (sin y) (/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)
#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
#s(approx (sin y) (/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(/.f64 (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y)
(.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
(fma.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))
(*.f64 y y)
y
(.f64 (.f64 y y) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize391.0ms (4.4%)

Memory

-132.7MiB live, 385.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/36 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	67.7%	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
✓	accuracy	48.1%	#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	88.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
✓	accuracy	54.4%	#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	48.1%	#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))
✓	accuracy	99.8%	(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y)
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	54.4%	#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))
✓	accuracy	48.1%	#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))))
✓	accuracy	99.8%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal -1/6 binary64))
✓	accuracy	53.4%	#s(approx (+ (* y (* y -1/6)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
✓	accuracy	48.0%	#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	88.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))

Samples

315.0ms

256×

valid

Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions

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

ival-mult: 32.0ms (53.7% of total)

ival-sin: 9.0ms (15.1% of total)

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

const: 7.0ms (11.7% of total)

ival-add: 4.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-8.4MiB live, 34.9MiB allocated

Counts

23 → 360

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.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 x (sin.f64 y)) (patch (.f64 x (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(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 (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64))))) y)) (patch (.f64 x (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64))))) y) (patch (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y) #<representation binary64>) () ())
#s(alt #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64))))) (patch #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)))) (patch #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))))) (patch (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))))) (patch #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y)) (patch (.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y) (patch (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) (patch #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -1/6 binary64)) (patch (.f64 y #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))) (patch #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.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 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.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 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.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 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) (patch (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 3)) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal 1/36 binary64)) (patch (.f64 (.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ())

Calls

90 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (* y (* -1/6 (* y y))) y)
0.0ms	y	@	0	(* (/ 1 y) (* x (sin y)))
0.0ms	y	@	0	(* (* y y) -1/6)
0.0ms	y	@	-inf	(/ (* (+ (* (* y y) (* (* y y) 1/36)) -1) y) (+ (* y (/ -1/6 (/ 1 y))) -1))
0.0ms	y	@	inf	(* (* y y) -1/6)

simplify442.0ms (5%)

Memory

-5.4MiB live, 479.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 158×	`lower-fma.f64`
11 158×	`lower-fma.f32`
3 556×	`lower-*.f64`
3 556×	`lower-*.f32`
2 440×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	2182
1	172	2104
2	471	2076
3	1452	2058
4	3886	2058
5	7344	2058
0	8046	1938

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 348

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 (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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (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))
(* (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))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (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))))))
(/ (* 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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))

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

rewrite431.0ms (4.8%)

Memory

15.7MiB live, 559.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 426×	`lower-fma.f32`
11 422×	`lower-fma.f64`
4 776×	`lower-*.f32`
4 746×	`lower-*.f64`
3 530×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	353
0	71	331
1	216	265
2	1101	259
0	8915	244

Stop Event

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

Counts

23 → 609

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(*.f64 x (sin.f64 y))
(sin.f64 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 (/ (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 (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y))
(/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y)
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
#s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y))
(/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y)
#s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(*.f64 y #s(literal -1/6 binary64))
#s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(.f64 (.f64 y y) #s(literal 1/36 binary64))

Outputs
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (sin.f64 y))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) x))
(neg.f64 (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y))))
(neg.f64 (.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) y)
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 x (.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x (sin.f64 y)) (neg.f64 y)))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(.f64 (.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (sin.f64 y) x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(.f64 #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))
(neg.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))))
(/.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/6 binary64))))
(/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(/.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(*.f64 y (/.f64 y #s(literal -6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 (*.f64 y y) #s(literal -1 binary64))))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y #s(literal -1/6 binary64)) y)
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(.f64 (neg.f64 y) (.f64 y #s(literal 1/6 binary64)))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) #s(literal -6 binary64)))
(.f64 #s(literal 1/6 binary64) (neg.f64 (.f64 y y)))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y)))
(.f64 (.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 (neg.f64 (.f64 y y)) #s(literal 1/6 binary64))
(.f64 (.f64 y #s(literal 1/6 binary64)) (neg.f64 y))
(.f64 (/.f64 (.f64 y #s(literal -1/6 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
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(.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (fma.f64 y (.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y)))) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))))))
(.f64 (neg.f64 (.f64 y (.f64 y (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y #s(literal 1/6 binary64)) y)))
(.f64 (.f64 y (.f64 y (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1/46656 binary64))) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (*.f64 y y)))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/1296 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (*.f64 y y))) #s(literal 1 binary64))))
(.f64 (/.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 y (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (/.f64 (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 y (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y))
(.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1/36 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))) y)
(.f64 (.f64 (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1/46656 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (*.f64 y y)))))))
(.f64 (.f64 (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/1296 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (*.f64 y y))) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (.f64 #s(literal 1/36 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(neg.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))))
(neg.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal 1/6 binary64))))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(/.f64 (.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/6 binary64))))
(/.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 y #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1/36 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(/.f64 (.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 y #s(literal 1/36 binary64)) (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal -2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/36 binary64)))
(.f64 y (.f64 y #s(literal 1/36 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64)))
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1/6 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/36 binary64)) y)
(.f64 (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/6 binary64)) y)
(.f64 (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/6 binary64)) (neg.f64 y))
(.f64 (.f64 (*.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y #s(literal 1/6 binary64))) (neg.f64 y))

eval286.0ms (3.2%)

Memory: 15.0MiB live, 216.2MiB allocated
Compiler: Compiled 19 651 to 2 074 computations (89.4% saved)

prune314.0ms (3.5%)

Memory

-13.8MiB live, 228.3MiB allocated

Pruning

32 alts after pruning (20 fresh and 12 done)

	Pruned	Kept	Total
New	1 043	3	1 046
Fresh	2	17	19
Picked	0	5	5
Done	0	7	7
Total	1 045	32	1 077

Accuracy

100.0%

Counts

1 077 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	(/.f64 (*.f64 x (sin.f64 y)) y)
	3.0%	(/.f64 (.f64 x #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))) y)
	37.4%	(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	59.8%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	59.9%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
	60.0%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	35.3%	(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (*.f64 y y))
✓	90.0%	(*.f64 (/.f64 x y) (sin.f64 y))
	39.2%	(.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))
✓	88.2%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	3.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
	37.2%	(.f64 (/.f64 #s(literal 1 binary64) y) #s(approx ( x (sin y)) (*.f64 x y)))
	3.8%	(.f64 (neg.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))))))) (.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	26.7%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (/.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y))
	48.1%	(.f64 x (/.f64 #s(approx (sin y) (fma.f64 (.f64 y (*.f64 y y)) #s(literal -1/6 binary64) y)) y))
	47.6%	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/6 binary64)))) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y))
✓	47.6%	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) y))
	47.6%	(.f64 x (/.f64 #s(approx (sin y) (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y))
	47.2%	(.f64 x (/.f64 #s(approx (sin y) (.f64 (/.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))))) y))
	26.5%	(.f64 x (/.f64 #s(approx (sin y) (.f64 (.f64 y (.f64 y (fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y))
	3.0%	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (/.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y)))) y))
✓	3.0%	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) y))
✓	3.0%	(.f64 x (/.f64 #s(approx (sin y) #s(approx (+ ( y (* -1/6 (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) y))
	48.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) y)))))
	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64)))))))
✓	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	3.0%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( y (* y -1/6)) 1) (.f64 y (.f64 y #s(literal -1/6 binary64))))))
✓	48.9%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	48.1%	#s(approx (* (/ x y) (sin y)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x))

Compiler

Compiled 1 284 to 466 computations (63.7% saved)

regimes127.0ms (1.4%)

Memory

17.9MiB live, 92.8MiB allocated

Counts

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

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

Calls

4 calls:

50.0ms	(/.f64 (sin.f64 y) y)
50.0ms	y
13.0ms	x
12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes126.0ms (1.4%)

Memory

-20.1MiB live, 95.1MiB allocated

Counts

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

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

Calls

4 calls:

48.0ms	x
35.0ms	y
29.0ms	(/.f64 (sin.f64 y) y)
12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes116.0ms (1.3%)

Memory

-8.4MiB live, 82.5MiB allocated

Counts

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

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

Calls

4 calls:

46.0ms	x
45.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
11.0ms	y
11.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
60.0%	1	`x`
60.0%	1	`y`
60.0%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
60.0%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Accuracy

Total -29.7b remaining (-90.6%)

Threshold costs -29.7b (-90.6%)

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.9%	1	`(/.f64 (sin.f64 y) y)`
48.9%	1	`x`
48.9%	1	`y`
48.9%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify35.0ms (0.4%)

Memory

-25.0MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	24	33

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness526.0ms (5.9%)

Memory

-3.8MiB live, 315.3MiB allocated

Rules

16 120×	`lower-fma.f64`
16 120×	`lower-fma.f32`
12 208×	`lower-fma.f64`
12 208×	`lower-fma.f32`
4 374×	`lower-*.f64`

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
0	43	306
1	118	306
2	310	296
3	910	294
4	1439	294
5	2227	294
6	3349	294
7	3639	294
8	4369	294
9	6831	294
0	8504	276
0	74	1674
1	210	1644
2	579	1620
3	1759	1606
4	4284	1606
5	7982	1606
0	8025	1516

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

Compiler

Compiled 70 to 38 computations (45.7% saved)

preprocess106.0ms (1.2%)

Memory

-2.3MiB live, 74.3MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 134 to 76 computations (43.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	139
0	40	139
1	61	139
2	72	135
3	77	135
4	84	135
5	84	135
6	132	135
7	137	135
8	144	135
9	149	135
10	149	135
0	149	131

Iter	Nodes	Cost
0	23	139
0	40	139
1	61	139
2	72	135
3	77	135
4	84	135
5	84	135
6	132	135
7	137	135
8	144	135
9	149	135
10	149	135
0	149	131

analyze14.0ms (0.2%)

sample886.0ms (9.9%)

preprocess46.0ms (0.5%)

explain70.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize27.0ms (0.3%)

series9.0ms (0.1%)

simplify588.0ms (6.6%)

rewrite170.0ms (1.9%)

eval21.0ms (0.2%)

prune34.0ms (0.4%)

simplify39.0ms (0.4%)

localize73.0ms (0.8%)

series16.0ms (0.2%)

simplify497.0ms (5.6%)

rewrite548.0ms (6.1%)

eval120.0ms (1.3%)

prune113.0ms (1.3%)

simplify463.0ms (5.2%)

localize223.0ms (2.5%)

series21.0ms (0.2%)

simplify628.0ms (7%)

rewrite779.0ms (8.7%)

eval156.0ms (1.8%)

prune164.0ms (1.8%)

simplify274.0ms (3.1%)

localize391.0ms (4.4%)

series17.0ms (0.2%)

simplify442.0ms (5%)

rewrite431.0ms (4.8%)

eval286.0ms (3.2%)

prune314.0ms (3.5%)

regimes127.0ms (1.4%)

regimes126.0ms (1.4%)

regimes116.0ms (1.3%)

regimes13.0ms (0.1%)

simplify35.0ms (0.4%)

soundness526.0ms (5.9%)

preprocess106.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	139
0	40	139
1	61	139
2	72	135
3	77	135
4	84	135
5	84	135
6	132	135
7	137	135
8	144	135
9	149	135
10	149	135
0	149	131