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

analyze14.0ms (0.2%)

Memory

-17.9MiB live, 24.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample800.0ms (9.3%)

Memory

9.2MiB live, 1 151.2MiB allocated

Samples

592.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-sin: 294.0ms (70.5% of total)

ival-div: 60.0ms (14.4% of total)

ival-mult: 54.0ms (12.9% of total)

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

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

Bogosity

preprocess45.0ms (0.5%)

Memory

1.7MiB live, 40.2MiB 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
1	8	6
2	10	6
3	12	6
4	13	6
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain62.0ms (0.7%)

Memory

29.5MiB live, 68.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 48 to 24 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 13.0ms (63% of total)

ival-div: 4.0ms (19.4% of total)

ival-mult: 3.0ms (14.5% 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)

prune9.0ms (0.1%)

Memory

-41.2MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	8	14
2	10	14
3	12	14
4	13	14
0	13	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-sin: 6.0ms (65.8% of total)

ival-div: 2.0ms (21.9% of total)

ival-mult: 2.0ms (21.9% of total)

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

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

series7.0ms (0.1%)

Memory

-28.3MiB live, 9.6MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite100.0ms (1.2%)

Memory

-16.6MiB live, 117.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

836×	`-lowering-.f32`
836×	`-lowering-.f64`
718×	`/-lowering-/.f32`
718×	`/-lowering-/.f64`
220×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	16	12
2	69	12
3	331	12
0	1793	12

Stop Event

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

Counts

3 → 153

Calls

Call 1

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

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

simplify1.0s (12%)

Memory

50.1MiB live, 595.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 120×	`accelerator-lowering-fma.f32`
16 120×	`accelerator-lowering-fma.f64`
4 374×	`-lowering-.f32`
4 374×	`-lowering-.f64`
2 386×	`--lowering--.f32`

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 → 48

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)

eval26.0ms (0.3%)

Memory: -45.5MiB live, 47.8MiB allocated
Compiler: Compiled 2 208 to 442 computations (80% saved)

prune26.0ms (0.3%)

Memory

16.4MiB live, 55.6MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	191	10	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	11	202

Accuracy

100.0%

Counts

202 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
▶	52.2%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
	89.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	90.2%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	87.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	52.2%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
	62.6%	(.f64 x (.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
▶	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
▶	52.9%	x

Compiler

Compiled 204 to 131 computations (35.8% saved)

simplify12.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

174×	`-lowering-.f32`
174×	`-lowering-.f64`
72×	`associate-l`
68×	`associate-r`
64×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	34	66
2	68	66
3	114	66
4	150	66
5	161	66
6	195	66
7	212	66
8	235	66
9	237	66
10	237	66
0	237	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (/ y (sin y)))
x
(/ y (sin y))
y
(sin y)
x
(+ (* x (* -1/6 (* y y))) x)
x
(* -1/6 (* y y))
-1/6
(* y y)
y
(* (/ x y) (sin y))
(/ x y)
x
y
(sin y)
(* x (* (/ 1 y) (sin y)))
x
(* (/ 1 y) (sin y))
(/ 1 y)
1
y
(sin y)

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

localize310.0ms (3.6%)

Memory

-25.3MiB live, 93.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	87.3%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	93.7%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	accuracy	99.8%	(/.f64 y (sin.f64 y))

Samples

38.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 8.0ms (30.5% of total)

ival-div: 7.0ms (26.7% of total)

ival-sin: 6.0ms (22.9% of total)

const: 3.0ms (11.4% of total)

ival-add: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

11 → 192

Calls

Call 1

Inputs
#<alt (/ x (/ y (sin y)))>
#<alt (/ y (sin y))>
#<alt (sin y)>
#<alt (+ (* x (* -1/6 (* y y))) x)>
#<alt (* -1/6 (* y y))>
#<alt (* y y)>
#<alt (* (/ x y) (sin y))>
#<alt (/ x y)>
#<alt (* (/ 1 y) (sin y))>
#<alt (* x (* (/ 1 y) (sin y)))>
#<alt (/ 1 y)>

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

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* x (* -1/6 (* y y))) x)
1.0ms	x	@	0	(+ (* x (* -1/6 (* y y))) x)
0.0ms	y	@	-inf	(/ y (sin y))
0.0ms	y	@	inf	(/ y (sin y))
0.0ms	y	@	inf	(+ (* x (* -1/6 (* y y))) x)

rewrite444.0ms (5.2%)

Memory

26.2MiB live, 756.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 792×	`accelerator-lowering-fma.f32`
8 792×	`accelerator-lowering-fma.f64`
4 466×	`-lowering-.f32`
4 466×	`-lowering-.f64`
3 530×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	72	51
2	376	51
3	2909	51
0	8638	50

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 647

Calls

Call 1

Inputs
(/ x (/ y (sin y)))
(/ y (sin y))
(sin y)
(+ (* x (* -1/6 (* y y))) x)
(* -1/6 (* y y))
(* y y)
(* (/ x y) (sin y))
(/ x y)
(* (/ 1 y) (sin y))
(* x (* (/ 1 y) (sin y)))
(/ 1 y)

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

simplify353.0ms (4.1%)

Memory

0.2MiB live, 733.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 528×	`accelerator-lowering-fma.f32`
14 528×	`accelerator-lowering-fma.f64`
4 986×	`-lowering-.f32`
4 986×	`-lowering-.f64`
1 602×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1130
1	190	1130
2	495	1112
3	1469	1106
4	2483	1106
5	5766	1106
0	8214	1049

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval126.0ms (1.5%)

Memory: -16.3MiB live, 208.6MiB allocated
Compiler: Compiled 15 074 to 1 377 computations (90.9% saved)

prune94.0ms (1.1%)

Memory

-14.3MiB live, 254.2MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	881	16	897
Fresh	2	3	5
Picked	1	4	5
Done	0	1	1
Total	884	24	908

Accuracy

100.0%

Counts

908 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.9%	(fma.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	52.3%	(fma.f64 (.f64 y (.f64 x #s(literal -1/6 binary64))) y x)
▶	52.1%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
▶	52.2%	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
	52.3%	(fma.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 x y) x)
▶	39.6%	(/.f64 (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
	90.2%	(/.f64 (*.f64 x (sin.f64 y)) y)
	86.9%	(/.f64 (sin.f64 y) (/.f64 y x))
	65.2%	(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	65.2%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	51.6%	(.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	52.2%	(.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
	41.8%	(.f64 (/.f64 x y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
✓	87.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	51.2%	(*.f64 (/.f64 x y) y)
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
	62.6%	(.f64 x (.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
	52.1%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
	52.8%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
▶	2.8%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	52.9%	x

Compiler

Compiled 553 to 322 computations (41.8% saved)

simplify576.0ms (6.7%)

Memory

-15.1MiB live, 625.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (/.f64 x y))
✓	cost-diff	1792	(/.f64 (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
✓	cost-diff	384	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))

Rules

19 154×	`accelerator-lowering-fma.f32`
19 154×	`accelerator-lowering-fma.f64`
5 260×	`-lowering-.f32`
5 260×	`-lowering-.f64`
2 020×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	67	127
2	145	127
3	374	127
4	559	127
5	641	127
6	690	127
7	1095	127
8	2002	127
9	2775	127
10	3029	127
11	3268	127
12	3832	127
13	4069	127
14	4919	127
15	5574	127
16	5983	127
17	6409	127
18	6888	127
19	7316	127
0	8506	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize150.0ms (1.7%)

Memory

30.2MiB live, 106.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.9%	(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (/.f64 x y))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	87.3%	(/.f64 (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(*.f64 y #s(literal 1/120 binary64))
✓	accuracy	93.4%	(.f64 x (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	93.6%	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	87.7%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	99.8%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)

Samples

118.0ms

256×

valid

Compiler

Compiled 130 to 29 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 37.0ms (58.8% of total)

ival-div: 8.0ms (12.7% of total)

ival-sin: 7.0ms (11.1% of total)

const: 6.0ms (9.5% of total)

ival-add: 4.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.8%)

Memory

-28.3MiB live, 10.6MiB allocated

Counts

18 → 312

Calls

Call 1

Inputs
#<alt (/ x (* (/ 1 (sin y)) y))>
#<alt (* (/ 1 (sin y)) y)>
#<alt (/ 1 (sin y))>
#<alt (sin y)>
#<alt (* x (* -1/6 (* y y)))>
#<alt (* -1/6 (* y y))>
#<alt (* y y)>
#<alt (+ (* (* y y) (* x -1/6)) x)>
#<alt (* x -1/6)>
#<alt (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)>
#<alt (* x (+ (* y (* y 1/120)) -1/6))>
#<alt (+ (* y (* y 1/120)) -1/6)>
#<alt (/ (+ (* x (* y -1/6)) (/ x y)) (/ 1 y))>
#<alt (+ (* x (* y -1/6)) (/ x y))>
#<alt (* y -1/6)>
#<alt (/ x y)>
#<alt (* y 1/120)>
#<alt (/ 1 y)>

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

Calls

78 calls:

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

rewrite697.0ms (8.1%)

Memory

17.9MiB live, 609.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 772×	`accelerator-lowering-fma.f32`
12 772×	`accelerator-lowering-fma.f64`
6 018×	`-lowering-.f32`
6 018×	`-lowering-.f64`
3 006×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	112
1	150	106
2	1091	106
0	8588	99

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 622

Calls

Call 1

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

simplify628.0ms (7.3%)

Memory

25.6MiB live, 854.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 354×	`accelerator-lowering-fma.f32`
19 354×	`accelerator-lowering-fma.f64`
4 684×	`-lowering-.f32`
4 684×	`-lowering-.f64`
1 990×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	2116
1	344	2078
2	933	2066
3	2737	2064
4	5226	2058
0	8221	1905

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval134.0ms (1.6%)

Memory: -4.5MiB live, 322.1MiB allocated
Compiler: Compiled 18 335 to 1 648 computations (91% saved)

prune168.0ms (1.9%)

Memory

11.4MiB live, 330.3MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	977	9	986
Fresh	2	12	14
Picked	3	2	5
Done	0	5	5
Total	982	28	1 010

Accuracy

100.0%

Counts

1 010 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.9%	(fma.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
✓	52.1%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	51.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	18.4%	(/.f64 (.f64 (fma.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	18.4%	(/.f64 (.f64 (fma.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 x (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) x (+.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 1/6 binary64)))))))
▶	2.9%	(/.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
▶	90.2%	(/.f64 (*.f64 x (sin.f64 y)) y)
	86.9%	(/.f64 (sin.f64 y) (/.f64 y x))
	65.2%	(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	65.2%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	51.6%	(.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	39.7%	(.f64 (fma.f64 (.f64 x y) #s(literal 1/6 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y))
	52.2%	(.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
	39.7%	(.f64 (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (/.f64 x y)) y)
	41.8%	(.f64 (/.f64 x y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
✓	87.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	51.2%	(*.f64 (/.f64 x y) y)
	2.9%	(.f64 (.f64 y (*.f64 x #s(literal -1/6 binary64))) y)
	2.8%	(.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
▶	2.9%	(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
	62.6%	(.f64 x (.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
	52.1%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
▶	52.8%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	52.9%	x

Compiler

Compiled 742 to 420 computations (43.4% saved)

simplify267.0ms (3.1%)

Memory

-9.3MiB live, 478.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
✓	cost-diff	640	(/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	640	(/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	1408	(fma.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	1088	(/.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	cost-diff	1024	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(/.f64 (*.f64 x (sin.f64 y)) y)

Rules

6 206×	`-lowering-.f32`
6 206×	`-lowering-.f64`
5 488×	`accelerator-lowering-fma.f32`
5 488×	`accelerator-lowering-fma.f64`
2 264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	184
1	100	168
2	368	162
3	3227	153
4	5786	153
0	8316	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(* x (sin y))
x
(sin y)
y
(* (* y -1/6) (* x y))
(* y -1/6)
y
-1/6
(* x y)
x
(* x (* (/ 1 y) y))
x
(* (/ 1 y) y)
(/ 1 y)
1
y
(/ (* x (* y -1/6)) (/ 1 y))
(* x (* y -1/6))
x
(* y -1/6)
y
-1/6
(/ 1 y)
1
(+ (* (* y (* y (* x -1/6))) (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
(* y (* y (* x -1/6)))
y
(* y (* x -1/6))
(* x -1/6)
x
-1/6
(/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))
(* x (+ (* y (* y -1/6)) -1))
(+ (* y (* y -1/6)) -1)
(* y -1/6)
-1
(neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1))))
(/ (* x x) (* x (+ (* y (* y -1/6)) -1)))
(* x x)

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

localize134.0ms (1.6%)

Memory

-13.2MiB live, 219.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	93.7%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
✓	accuracy	72.9%	(/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	64.0%	(/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	90.2%	(/.f64 (*.f64 x (sin.f64 y)) y)

Samples

63.0ms

256×

valid

Compiler

Compiled 191 to 30 computations (84.3% saved)

Precisions

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

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

ival-div: 9.0ms (19.5% of total)

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

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

const: 4.0ms (8.7% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

16.0MiB live, 53.2MiB allocated

Counts

17 → 348

Calls

Call 1

Inputs
#<alt (/ (* x (sin y)) y)>
#<alt (* x (sin y))>
#<alt (sin y)>
#<alt (* (* y -1/6) (* x y))>
#<alt (* y -1/6)>
#<alt (* x y)>
#<alt (* (/ 1 y) y)>
#<alt (* x (* (/ 1 y) y))>
#<alt (/ 1 y)>
#<alt (/ (* x (* y -1/6)) (/ 1 y))>
#<alt (* x (* y -1/6))>
#<alt (+ (* (* y (* y (* x -1/6))) (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))>
#<alt (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))>
#<alt (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))>
#<alt (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1))))>
#<alt (* x (+ (* y (* y -1/6)) -1))>
#<alt (* x -1/6)>

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

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+ (* (* y (* y (* x -1/6))) (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
2.0ms	x	@	0	(+ (* (* y (* y (* x -1/6))) (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
2.0ms	y	@	inf	(+ (* (* y (* y (* x -1/6))) (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
1.0ms	x	@	0	(/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))
1.0ms	y	@	0	(+ (* (* y (* y (* x -1/6))) (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))

rewrite413.0ms (4.8%)

Memory

-21.1MiB live, 784.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 816×	`/-lowering-/.f32`
4 816×	`/-lowering-/.f64`
4 630×	`accelerator-lowering-fma.f32`
4 630×	`accelerator-lowering-fma.f64`
3 652×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	139
1	156	111
2	1217	107
0	8399	102

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 904

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(* x (sin y))
(sin y)
(* (* y -1/6) (* x y))
(* y -1/6)
(* x y)
(* (/ 1 y) y)
(* x (* (/ 1 y) y))
(/ 1 y)
(/ (* x (* y -1/6)) (/ 1 y))
(* x (* y -1/6))
(+ (* (* y (* y (* x -1/6))) (/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
(/ (* y (* y (* x -1/6))) (* x (+ (* y (* y -1/6)) -1)))
(/ (* x x) (* x (+ (* y (* y -1/6)) -1)))
(neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1))))
(* x (+ (* y (* y -1/6)) -1))
(* x -1/6)

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

simplify425.0ms (4.9%)

Memory

2.8MiB live, 877.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 540×	`accelerator-lowering-fma.f32`
15 540×	`accelerator-lowering-fma.f64`
3 882×	`-lowering-.f32`
3 882×	`-lowering-.f64`
2 364×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	2581
1	542	2576
2	1582	2550
3	3919	2410
0	8307	2292

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval196.0ms (2.3%)

Memory: 44.1MiB live, 539.2MiB allocated
Compiler: Compiled 51 788 to 2 805 computations (94.6% saved)

prune260.0ms (3%)

Memory

-33.5MiB live, 393.4MiB allocated

Pruning

36 alts after pruning (25 fresh and 11 done)

	Pruned	Kept	Total
New	1 425	14	1 439
Fresh	5	11	16
Picked	1	4	5
Done	0	7	7
Total	1 431	36	1 467

Accuracy

100.0%

Counts

1 467 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(fma.f64 (/.f64 y x) (.f64 (/.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	62.3%	(fma.f64 (.f64 (.f64 y (/.f64 (.f64 y #s(literal -1/6 binary64)) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (.f64 y #s(literal -1/6 binary64))) (.f64 x y) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	51.8%	(fma.f64 (.f64 (.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64)))) y) (/.f64 (.f64 y #s(literal -1/6 binary64)) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	33.9%	(fma.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	51.8%	(fma.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (/.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) x)
	28.2%	(fma.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	28.2%	(fma.f64 (.f64 y (.f64 y (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 y x) (.f64 x (.f64 y #s(literal -1/6 binary64)))))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
✓	52.1%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	51.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	2.9%	(/.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
✓	90.2%	(/.f64 (*.f64 x (sin.f64 y)) y)
	43.2%	(/.f64 (*.f64 x y) y)
	37.9%	(/.f64 (*.f64 x x) x)
	86.9%	(/.f64 (sin.f64 y) (/.f64 y x))
	2.9%	(/.f64 y (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))))
	65.2%	(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	65.2%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	51.6%	(.f64 (fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x) (.f64 (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	52.2%	(.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
	41.8%	(.f64 (/.f64 x y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
✓	87.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	51.2%	(*.f64 (/.f64 x y) y)
	28.6%	(.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
	2.9%	(.f64 (.f64 y (*.f64 x #s(literal -1/6 binary64))) y)
	2.8%	(.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
✓	2.9%	(.f64 (.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
	2.9%	(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
	37.9%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
	2.9%	(.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 x y)))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
	62.6%	(.f64 x (.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓	52.8%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	52.9%	x

Compiler

Compiled 1 267 to 451 computations (64.4% saved)

regimes65.0ms (0.8%)

Memory

26.0MiB live, 139.7MiB allocated

Counts

50 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
15.0ms	y
14.0ms	x
13.0ms	(/.f64 (sin.f64 y) y)

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes51.0ms (0.6%)

Memory

-8.5MiB live, 111.7MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.2%	1	`x`
65.2%	1	`y`
65.2%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
65.2%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes32.0ms (0.4%)

Memory

-18.0MiB live, 62.5MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
8.0ms	x
7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
65.2%	1	`y`
65.2%	1	`(/.f64 (sin.f64 y) y)`
65.2%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
65.2%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes23.0ms (0.3%)

Memory

5.3MiB live, 44.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	x
5.0ms	y
5.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
64.1%	2	`y`
63.8%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
64.1%	2	`(/.f64 (sin.f64 y) y)`
63.9%	2	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.2%)

Memory

-12.1MiB live, 26.9MiB allocated

Accuracy

Total -32.3b remaining (-107.1%)

Threshold costs -32.3b (-107.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

4.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	x
3.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
52.9%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
52.9%	1	`x`
52.9%	1	`(/.f64 (sin.f64 y) y)`
52.9%	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch11.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	13739269524283.715	175284511411364.0

Samples

7.0ms

96×

valid

Compiler

Compiled 125 to 88 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sin: 4.0ms (81.7% of total)

ival-div: 1.0ms (20.4% of total)

ival-mult: 1.0ms (20.4% of total)

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

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

simplify7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	45
1	34	45

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 95000000000000 binary64)) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 95000000000000 binary64)) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y))
(if (<=.f64 y #s(literal 95000000000000 binary64)) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (/.f64 x y)))
x

soundness717.0ms (8.3%)

Memory

11.9MiB live, 483.9MiB allocated

Rules

16 120×	`accelerator-lowering-fma.f32`
16 120×	`accelerator-lowering-fma.f64`
14 528×	`accelerator-lowering-fma.f32`
14 528×	`accelerator-lowering-fma.f64`
4 986×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1130
1	190	1130
2	495	1112
3	1469	1106
4	2483	1106
5	5766	1106
0	8214	1049
0	43	306
1	118	306
2	310	296
3	910	294
4	1439	294
5	2227	294
6	3349	294
7	3639	294
8	4369	294
9	6831	294
0	8504	276
0	5	12
1	16	12
2	69	12
3	331	12
0	1793	12

Stop Event

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

Compiler

Compiled 116 to 70 computations (39.7% saved)

preprocess60.0ms (0.7%)

Memory

-27.3MiB live, 126.4MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 174 to 100 computations (42.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	68
1	34	66
2	68	66
3	114	66
4	150	66
5	161	66
6	195	66
7	212	66
8	235	66
9	237	66
10	237	66
0	237	65

Iter	Nodes	Cost
0	16	68
1	34	66
2	68	66
3	114	66
4	150	66
5	161	66
6	195	66
7	212	66
8	235	66
9	237	66
10	237	66
0	237	65

analyze14.0ms (0.2%)

sample800.0ms (9.3%)

preprocess45.0ms (0.5%)

explain62.0ms (0.7%)

eval0.0ms (0%)

prune9.0ms (0.1%)

simplify3.0ms (0%)

localize21.0ms (0.2%)

series7.0ms (0.1%)

rewrite100.0ms (1.2%)

simplify1.0s (12%)

eval26.0ms (0.3%)

prune26.0ms (0.3%)

simplify12.0ms (0.1%)

localize310.0ms (3.6%)

series10.0ms (0.1%)

rewrite444.0ms (5.2%)

simplify353.0ms (4.1%)

eval126.0ms (1.5%)

prune94.0ms (1.1%)

simplify576.0ms (6.7%)

localize150.0ms (1.7%)

series67.0ms (0.8%)

rewrite697.0ms (8.1%)

simplify628.0ms (7.3%)

eval134.0ms (1.6%)

prune168.0ms (1.9%)

simplify267.0ms (3.1%)

localize134.0ms (1.6%)

series19.0ms (0.2%)

rewrite413.0ms (4.8%)

simplify425.0ms (4.9%)

eval196.0ms (2.3%)

prune260.0ms (3%)

regimes65.0ms (0.8%)

regimes51.0ms (0.6%)

regimes32.0ms (0.4%)

regimes23.0ms (0.3%)

regimes13.0ms (0.2%)

bsearch11.0ms (0.1%)

simplify7.0ms (0.1%)

soundness717.0ms (8.3%)

preprocess60.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	68
1	34	66
2	68	66
3	114	66
4	150	66
5	161	66
6	195	66
7	212	66
8	235	66
9	237	66
10	237	66
0	237	65