Metrics for Linear.Projection:perspective from linear-1.19.1.3, B

analyze12.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB 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 11 to 9 computations (18.2% saved)

sample1.0s (13.4%)

Memory

2.6MiB live, 1 042.4MiB allocated

Samples

631.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 419.0ms

ival-mult: 300.0ms (71.7% of total)

ival-div: 55.0ms (13.1% of total)

ival-sub: 50.0ms (11.9% of total)

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

exact: 5.0ms (1.2% of total)

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

Bogosity

preprocess194.0ms (2.5%)

Memory

-2.0MiB live, 121.5MiB allocated

Algorithm

2×	egg-herbie

Rules

858×	`associate-l`
840×	`times-frac`
812×	`times-frac`
802×	`distribute-lft-in`
744×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	69	54
2	236	54
3	842	54
4	2471	54
5	3077	54
6	3243	54
7	3257	54
8	3272	54
9	3277	54
10	3277	54
11	3481	54
12	3577	54
13	3577	54
14	3681	54
15	4365	54
0	7	9
1	15	9
2	36	9
3	60	9
4	80	9
5	144	9
6	306	9
7	676	9
8	1544	9
9	2390	9
10	2407	9
11	2421	9
12	2433	9
13	2433	9
0	2433	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (* (* x 2) y) (- x y))

Outputs
(/ (* (* x 2) y) (- x y))
(.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))

Call 2

Inputs
(/ (* (* x 2) y) (- x y))
(/ (* (* (neg x) 2) y) (- (neg x) y))
(/ (* (* x 2) (neg y)) (- x (neg y)))
(neg (/ (* (* (neg x) 2) y) (- (neg x) y)))
(neg (/ (* (* x 2) (neg y)) (- x (neg y))))
(/ (* (* y 2) x) (- y x))

Outputs
(/ (* (* x 2) y) (- x y))
(* x (* 2 (/ y (- x y))))
(/ (* (* (neg x) 2) y) (- (neg x) y))
(* x (* 2 (/ y (+ x y))))
(/ (* (* x 2) (neg y)) (- x (neg y)))
(* x (* (/ y (+ x y)) -2))
(neg (/ (* (* (neg x) 2) y) (- (neg x) y)))
(* x (* (/ y (+ x y)) -2))
(neg (/ (* (* x 2) (neg y)) (- x (neg y))))
(* x (* 2 (/ y (+ x y))))
(/ (* (* y 2) x) (- y x))
(* x (* 2 (/ y (- y x))))

explain77.0ms (1%)

Memory

-5.0MiB live, 158.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
55	-	2	(-5.96957980263836e-250 4.150981060932808e-65)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
1	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	31	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	31
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	22	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	22
`*.f64`	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	54	2
-	0	200

Precision

1.0

Recall

0.9642857142857143

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	2
-	0	0	200

Precision?

1.0

Recall?

0.9642857142857143

Freqs

test

number	freq
0	202
1	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-mult: 10.0ms (56.2% of total)

ival-sub: 3.0ms (16.9% of total)

ival-div: 3.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify75.0ms (1%)

Memory

2.2MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 x y)
✓	cost-diff	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Rules

840×	`times-frac`
672×	`accelerator-lowering-fma.f32`
672×	`accelerator-lowering-fma.f64`
640×	`-lowering-.f32`
640×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	15	23
2	36	23
3	60	23
4	80	23
5	144	23
6	306	23
7	676	23
8	1544	23
9	2390	23
10	2407	23
11	2421	23
12	2433	23
13	2433	23
0	2433	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* (* x 2) y) (- x y))
(* (* x 2) y)
(* x 2)
x
2
y
(- x y)

Outputs
(/ (* (* x 2) y) (- x y))
(.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(* (* x 2) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
y
(- x y)
(-.f64 x y)

localize44.0ms (0.6%)

Memory

-7.9MiB live, 34.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	80.0%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

33.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 23.0ms (86.1% of total)

ival-div: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (/ (* (* x 2) y) (- x y))>
#<alt (* (* x 2) y)>
#<alt (* x 2)>
#<alt (- x y)>

Outputs
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x 2) y)
1.0ms	x	@	inf	(/ (* (* x 2) y) (- x y))
0.0ms	y	@	inf	(/ (* (* x 2) y) (- x y))
0.0ms	x	@	0	(/ (* (* x 2) y) (- x y))
0.0ms	y	@	inf	(* (* x 2) y)

rewrite321.0ms (4.1%)

Memory

19.8MiB live, 575.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 632×	`/-lowering-/.f32`
5 632×	`/-lowering-/.f64`
3 830×	`-lowering-.f32`
3 830×	`-lowering-.f64`
2 056×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	36	20
2	246	20
3	2747	20
0	9202	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 405

Calls

Call 1

Inputs
(/ (* (* x 2) y) (- x y))
(* (* x 2) y)
(* x 2)
(- x y)

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

simplify442.0ms (5.7%)

Memory

-2.1MiB live, 711.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 398×	`accelerator-lowering-fma.f32`
14 398×	`accelerator-lowering-fma.f64`
5 052×	`-lowering-.f32`
5 052×	`-lowering-.f64`
1 978×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1013	523
3	3099	517
4	6414	517
0	8134	486

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

eval100.0ms (1.3%)

Memory: 19.1MiB live, 130.4MiB allocated
Compiler: Compiled 13 385 to 1 318 computations (90.2% saved)

prune103.0ms (1.3%)

Memory

-14.7MiB live, 143.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	481	8	489
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	482	8	490

Accuracy

100.0%

Counts

490 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.6%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
▶	90.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶	88.0%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
	79.8%	(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
▶	53.0%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
	53.5%	(*.f64 y #s(literal 2 binary64))
	46.7%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
▶	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 144 to 94 computations (34.7% saved)

simplify261.0ms (3.4%)

Memory

-21.0MiB live, 475.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓	cost-diff	0	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	1024	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)

Rules

6 972×	`accelerator-lowering-fma.f32`
6 972×	`accelerator-lowering-fma.f64`
4 400×	`-lowering-.f32`
4 400×	`-lowering-.f64`
2 692×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	46	99
2	86	99
3	131	91
4	164	91
5	402	91
6	1834	91
7	5557	91
0	8920	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (* x 2) (- x y)) y)
(/ (* x 2) (- x y))
(* x 2)
x
2
(- x y)
y
(* -2 x)
-2
x
(/ (* (* x 2) y) x)
(* (* x 2) y)
(* x 2)
x
2
y
(* y (+ (* y (/ 2 x)) 2))
y
(+ (* y (/ 2 x)) 2)
(/ 2 x)
2
x
(* (/ (* 2 y) (- x y)) x)
(/ (* 2 y) (- x y))
(* 2 y)
2
y
(- x y)
x

Outputs
(* (/ (* x 2) (- x y)) y)
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))))
(/ (* x 2) (- x y))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(- x y)
(-.f64 x y)
y
(* -2 x)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
x
(/ (* (* x 2) y) x)
(*.f64 #s(literal 2 binary64) y)
(* (* x 2) y)
(.f64 x (.f64 #s(literal 2 binary64) y))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
y
(* y (+ (* y (/ 2 x)) 2))
(*.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 y x) y))
y
(+ (* y (/ 2 x)) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(* (/ (* 2 y) (- x y)) x)
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y))))
(/ (* 2 y) (- x y))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 x y)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(- x y)
(-.f64 x y)
x

localize132.0ms (1.7%)

Memory

21.0MiB live, 138.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓	accuracy	88.0%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	80.1%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
✓	accuracy	91.1%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)

Samples

110.0ms

256×

valid

Compiler

Compiled 95 to 20 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 78.0ms (80.5% of total)

ival-mult: 16.0ms (16.5% of total)

ival-sub: 1.0ms (1% of total)

ival-add: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-10.6MiB live, 28.0MiB allocated

Counts

13 → 264

Calls

Call 1

Inputs
#<alt (* (/ (* x 2) (- x y)) y)>
#<alt (/ (* x 2) (- x y))>
#<alt (* x 2)>
#<alt (- x y)>
#<alt (* -2 x)>
#<alt (/ (* (* x 2) y) x)>
#<alt (* (* x 2) y)>
#<alt (* y (+ (* y (/ 2 x)) 2))>
#<alt (+ (* y (/ 2 x)) 2)>
#<alt (/ 2 x)>
#<alt (* (/ (* 2 y) (- x y)) x)>
#<alt (/ (* 2 y) (- x y))>
#<alt (* 2 y)>

Outputs
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* -2 (/ x y))>
#<alt (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))>
#<alt (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ x y))>
#<alt (/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)>
#<alt (/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y)>
#<alt (* -2 (/ x y))>
#<alt (* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ y x))>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))>
#<alt (* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y))))>
#<alt (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)>
#<alt (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)>
#<alt (* 2 (/ y x))>
#<alt (/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x)>
#<alt (/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x)>
#<alt (/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x)>
#<alt (* 2 (/ y x))>
#<alt (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x))>
#<alt (* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* y (+ (* y (/ 2 x)) 2))
0.0ms	y	@	inf	(* y (+ (* y (/ 2 x)) 2))
0.0ms	y	@	-inf	(* y (+ (* y (/ 2 x)) 2))
0.0ms	x	@	-inf	(* y (+ (* y (/ 2 x)) 2))
0.0ms	x	@	0	(/ (* x 2) (- x y))

rewrite418.0ms (5.4%)

Memory

9.2MiB live, 580.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 540×	`-lowering-.f32`
4 540×	`-lowering-.f64`
3 502×	`accelerator-lowering-fma.f32`
3 502×	`accelerator-lowering-fma.f64`
3 286×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	98	79
2	616	71
3	6254	71
0	8184	69

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 898

Calls

Call 1

Inputs
(* (/ (* x 2) (- x y)) y)
(/ (* x 2) (- x y))
(* x 2)
(- x y)
(* -2 x)
(/ (* (* x 2) y) x)
(* (* x 2) y)
(* y (+ (* y (/ 2 x)) 2))
(+ (* y (/ 2 x)) 2)
(/ 2 x)
(* (/ (* 2 y) (- x y)) x)
(/ (* 2 y) (- x y))
(* 2 y)

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

simplify666.0ms (8.6%)

Memory

-5.6MiB live, 827.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 286×	`accelerator-lowering-fma.f32`
16 286×	`accelerator-lowering-fma.f64`
5 228×	`-lowering-.f32`
5 228×	`-lowering-.f64`
2 020×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	2157
1	748	2091
2	2030	1957
3	6819	1947
0	8078	1785

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 (/ x y))
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
2
(+ 2 (* 2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y)
(* -2 (/ x y))
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 (/ y x))
(* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))
(* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
(* y (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y))))
(- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2))))))
-2
(- (* -2 (/ x y)) 2)
(- (* -1 (/ (- (* 2 (/ (pow x 2) y)) (* -2 x)) y)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* -2 x)) y)) 2)
-2
(- (* -2 (/ x y)) 2)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)
(* 2 (/ y x))
(/ (+ (* 2 y) (* 2 (/ (pow y 2) x))) x)
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) x)
(/ (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) x)
(* 2 (/ y x))
(* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* 2 (/ (pow y 3) x)) (* 2 (pow y 2))) x))) x))
(* -1 (/ (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x))) x))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

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

eval323.0ms (4.2%)

Memory: -13.2MiB live, 259.4MiB allocated
Compiler: Compiled 24 869 to 2 262 computations (90.9% saved)

prune173.0ms (2.2%)

Memory

2.3MiB live, 322.8MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 302	3	1 305
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	1 303	10	1 313

Accuracy

100.0%

Counts

1 313 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.6%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
▶	46.7%	(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
✓	90.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓	88.0%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
▶	38.2%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
▶	79.8%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))
✓	53.0%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
▶	53.5%	(*.f64 y #s(literal 2 binary64))
▶	46.7%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 136 to 88 computations (35.3% saved)

simplify271.0ms (3.5%)

Memory

21.4MiB live, 548.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 x (/.f64 x y) x)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) x) y)
✓	cost-diff	1024	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))

Rules

9 474×	`accelerator-lowering-fma.f32`
9 474×	`accelerator-lowering-fma.f64`
4 894×	`-lowering-.f32`
4 894×	`-lowering-.f64`
2 374×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
1	46	94
2	100	86
3	153	86
4	356	86
5	1062	86
6	3141	86
7	4757	86
0	8325	82

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 2 (- x y)) (* x y))
(/ 2 (- x y))
2
(- x y)
x
y
(* x y)
(* y 2)
y
2
(* (/ (* -2 x) y) y)
(/ (* -2 x) y)
(* -2 x)
-2
x
y
(* -2 (+ (* x (/ x y)) x))
-2
(+ (* x (/ x y)) x)
x
(/ x y)
y
(* (+ (* -2 (/ x y)) -2) x)
(+ (* -2 (/ x y)) -2)
-2
(/ x y)
x
y

Outputs
(* (/ 2 (- x y)) (* x y))
(/.f64 (.f64 (.f64 x y) #s(literal -2 binary64)) (-.f64 y x))
(/ 2 (- x y))
(/.f64 #s(literal 2 binary64) (-.f64 x y))
2
#s(literal 2 binary64)
(- x y)
(-.f64 x y)
x
y
(* x y)
(*.f64 x y)
(* y 2)
(*.f64 #s(literal 2 binary64) y)
y
2
#s(literal 2 binary64)
(* (/ (* -2 x) y) y)
(*.f64 x #s(literal -2 binary64))
(/ (* -2 x) y)
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
x
y
(* -2 (+ (* x (/ x y)) x))
(*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(+ (* x (/ x y)) x)
(fma.f64 x (/.f64 x y) x)
x
(/ x y)
(/.f64 x y)
y
(* (+ (* -2 (/ x y)) -2) x)
(*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(+ (* -2 (/ x y)) -2)
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ x y)
(/.f64 x y)
x
y

localize66.0ms (0.9%)

Memory

-15.8MiB live, 100.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.9%	(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	accuracy	99.9%	(fma.f64 x (/.f64 x y) x)
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -2 binary64) x) y)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	78.3%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	79.8%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))

Samples

38.0ms

256×

valid

Compiler

Compiled 88 to 21 computations (76.1% saved)

Precisions

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

ival-mult: 16.0ms (62.6% of total)

ival-div: 5.0ms (19.6% of total)

ival-sub: 2.0ms (7.8% of total)

ival-add: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

24.5MiB live, 24.4MiB allocated

Counts

13 → 288

Calls

Call 1

Inputs
#<alt (* (/ 2 (- x y)) (* x y))>
#<alt (/ 2 (- x y))>
#<alt (- x y)>
#<alt (* x y)>
#<alt (* y 2)>
#<alt (* (/ (* -2 x) y) y)>
#<alt (/ (* -2 x) y)>
#<alt (* -2 x)>
#<alt (* -2 (+ (* x (/ x y)) x))>
#<alt (+ (* x (/ x y)) x)>
#<alt (/ x y)>
#<alt (* (+ (* -2 (/ x y)) -2) x)>
#<alt (+ (* -2 (/ x y)) -2)>

Outputs
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (/ -2 y)>
#<alt (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ y x))) x)>
#<alt (/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)>
#<alt (/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* -2 (/ y x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))>
#<alt (/ 2 x)>
#<alt (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* -2 (/ x y)) 2) y)>
#<alt (/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)>
#<alt (/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 2 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ 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 (* x y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) 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 (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ x y))>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* -2 (+ (* x (/ x y)) x))
0.0ms	x	@	0	(/ (* -2 x) y)
0.0ms	y	@	0	(* -2 (+ (* x (/ x y)) x))
0.0ms	x	@	inf	(* (+ (* -2 (/ x y)) -2) x)
0.0ms	x	@	inf	(* -2 (+ (* x (/ x y)) x))

rewrite801.0ms (10.4%)

Memory

-29.9MiB live, 452.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 654×	`accelerator-lowering-fma.f32`
6 654×	`accelerator-lowering-fma.f64`
5 172×	`-lowering-.f32`
5 172×	`-lowering-.f64`
3 740×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	100	77
2	742	69
3	7761	69
0	8367	65

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 832

Calls

Call 1

Inputs
(* (/ 2 (- x y)) (* x y))
(/ 2 (- x y))
(- x y)
(* x y)
(* y 2)
(* (/ (* -2 x) y) y)
(/ (* -2 x) y)
(* -2 x)
(* -2 (+ (* x (/ x y)) x))
(+ (* x (/ x y)) x)
(/ x y)
(* (+ (* -2 (/ x y)) -2) x)
(+ (* -2 (/ x y)) -2)

Outputs
(+.f64 (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 x x)) (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 y (+.f64 x y))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 y (+.f64 x y))) (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (fma.f64 x x (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 x y)))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) x) (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) y))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) y) (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) x))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)))))
(+.f64 (.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)))))
(+.f64 (.f64 (fma.f64 x x (.f64 y y)) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)))) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)))))
(+.f64 (.f64 x (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x)))) (.f64 y (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x)))))
(+.f64 (.f64 y (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x)))) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x)))))
(fma.f64 x (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) (.f64 y (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 (+.f64 x y) (-.f64 y x)))))
(fma.f64 y (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (+.f64 x y) (-.f64 y x))) (.f64 x (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (*.f64 (+.f64 x y) (-.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x)))))
(fma.f64 (.f64 y (+.f64 x y)) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x)))))
(fma.f64 (fma.f64 x x (.f64 y y)) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 (.f64 x y) (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 x x) (.f64 (/.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (*.f64 y (+.f64 x y))))
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(/.f64 (.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 x #s(literal -2 binary64)) y) (/.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 x #s(literal -2 binary64)) y) (/.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64)))))
(.f64 (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -4 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) #s(literal -4 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -8 binary64)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 64 binary64))))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y y))))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -8 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))))

simplify457.0ms (5.9%)

Memory

33.6MiB live, 782.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 412×	`accelerator-lowering-fma.f32`
16 412×	`accelerator-lowering-fma.f64`
5 400×	`-lowering-.f32`
5 400×	`-lowering-.f64`
2 300×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1875
1	720	1823
2	2036	1773
3	6957	1768
0	8379	1651

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ 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)
(* x y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ (pow x 2) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) 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)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ (pow x 2) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 y)) y)
(/ (+ (* -2 x) (* -2 y)) y)
(/ (+ (* -2 x) (* -2 y)) y)
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)

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

eval143.0ms (1.9%)

Memory: 11.3MiB live, 364.6MiB allocated
Compiler: Compiled 21 916 to 2 036 computations (90.7% saved)

prune142.0ms (1.8%)

Memory

-14.0MiB live, 263.3MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1 168	1	1 169
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	1 168	11	1 179

Accuracy

100.0%

Counts

1 179 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.6%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
✓	46.7%	(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
✓	90.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓	88.0%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
✓	38.2%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
✓	79.8%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))
▶	39.4%	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
✓	53.0%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	53.5%	(*.f64 y #s(literal 2 binary64))
✓	46.7%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 100 to 65 computations (35% saved)

simplify289.0ms (3.7%)

Memory

-36.1MiB live, 224.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) y)
✓	cost-diff	1024	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))

Rules

6 496×	`-lowering-.f32`
6 496×	`-lowering-.f64`
2 920×	`cube-prod`
2 128×	`/-lowering-/.f32`
2 128×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	12	16
2	28	16
3	48	12
4	58	12
5	113	12
6	300	12
7	1225	12
8	2127	12
9	2268	12
10	2350	12
11	2474	12
12	2671	12
13	2917	12
14	4921	12
15	6138	12
16	6718	12
17	6996	12
18	7102	12
19	7201	12
20	7298	12
0	8282	12

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ -2 y) (* x y))
(/ -2 y)
-2
y
(* x y)
x

Outputs
(* (/ -2 y) (* x y))
(*.f64 #s(literal -2 binary64) x)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
-2
#s(literal -2 binary64)
y
(* x y)
(*.f64 y x)
x

localize19.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	79.8%	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (52.1% of total)

ival-div: 2.0ms (34.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (* (/ -2 y) (* x y))>
#<alt (/ -2 y)>
#<alt (* x y)>

Outputs
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 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)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(/ -2 y)
0.0ms	y	@	0	(* (/ -2 y) (* x y))
0.0ms	y	@	inf	(* (/ -2 y) (* x y))
0.0ms	y	@	-inf	(* (/ -2 y) (* x y))
0.0ms	x	@	-inf	(* (/ -2 y) (* x y))

rewrite82.0ms (1.1%)

Memory

-14.4MiB live, 107.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

972×	`-lowering-.f32`
972×	`-lowering-.f64`
708×	`/-lowering-/.f32`
708×	`/-lowering-/.f64`
456×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	21	13
2	91	13
3	415	9
0	2055	9

Stop Event

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

Counts

3 → 115

Calls

Call 1

Inputs
(* (/ -2 y) (* x y))
(/ -2 y)
(* x y)

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

simplify23.0ms (0.3%)

Memory

-14.7MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	180
1	8	180
0	8	180

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 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)

Outputs
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) 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)

eval49.0ms (0.6%)

Memory: 3.8MiB live, 42.1MiB allocated
Compiler: Compiled 1 360 to 243 computations (82.1% saved)

prune22.0ms (0.3%)

Memory

6.6MiB live, 47.8MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	175	11	186

Accuracy

100.0%

Counts

186 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.6%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
✓	46.7%	(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
✓	90.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓	88.0%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
✓	38.2%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
✓	79.8%	(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))
✓	39.4%	(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
✓	53.0%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	53.5%	(*.f64 y #s(literal 2 binary64))
✓	46.7%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	47.1%	(*.f64 #s(literal -2 binary64) x)

Compiler

Compiled 198 to 97 computations (51% saved)

regimes15.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Outputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	3	`y`
99.1%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes10.0ms (0.1%)

Memory

-19.3MiB live, 19.9MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)

Outputs

(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))

(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)

(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
96.7%	3	`x`
96.6%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory

-10.6MiB live, 27.8MiB allocated

Counts

10 → 5

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))

Outputs
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))

Calls

3 calls:

5.0ms	y
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms	x

Results

Accuracy	Segments	Branch
88.7%	5	`y`
91.4%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
90.7%	5	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes10.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)

Outputs
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 y #s(literal 2 binary64))

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
75.3%	3	`y`
77.2%	3	`x`
59.2%	3	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))

Outputs
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 y #s(literal 2 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

-28.1MiB live, 10.1MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 x y))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) x) y) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) x)

Outputs
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 y #s(literal 2 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

16.3MiB live, 16.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) x)

Outputs
(*.f64 #s(literal -2 binary64) x)

Calls

3 calls:

1.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
47.1%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
47.1%	1	`y`
47.1%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch93.0ms (1.2%)

Memory

-15.4MiB live, 25.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.057029067592835e-30	7.836464864308549e-29
90.0ms	-8.024847556947015e-25	-2.3130913897741694e-36

Samples

9.0ms

176×

valid

Compiler

Compiled 278 to 188 computations (32.4% saved)

Precisions

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

ival-mult: 2.0ms (43.3% of total)

ival-sub: 1.0ms (21.6% of total)

ival-div: 1.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

-1.8MiB live, 34.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.3833437543303647e+121	1.6780921863074308e+129
11.0ms	-4.0683762508149074e+173	-9.827393477537942e+164

Samples

13.0ms

288×

valid

Compiler

Compiled 428 to 282 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (55.3% of total)

ival-div: 2.0ms (27.6% of total)

ival-sub: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.4231164152728655e+104	2.4887616881607557e+110
0.0ms	1.0629364749819722e-296	2.256819803870778e-293
0.0ms	-7.405489160320415e-264	-1.291974924020561e-270
0.0ms	-inf	-6.766687508660729e+121

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch24.0ms (0.3%)

Memory

7.2MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.937475682042992e-17	5.04446039452903e-15
12.0ms	-3.987124853811007e+78	-1.258438784699055e+71

Samples

12.0ms

256×

valid

Compiler

Compiled 331 to 222 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (44.1% of total)

ival-div: 2.0ms (29.4% of total)

ival-sub: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

11.7MiB live, 49.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.937475682042992e-17	5.04446039452903e-15
11.0ms	-3.5929211613472167e+36	-3.7606687305471174e+31

Samples

14.0ms

256×

valid

Compiler

Compiled 286 to 204 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43.5% of total)

ival-div: 2.0ms (29% of total)

ival-sub: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Memory

-0.4MiB live, 49.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.968711912923335e+30	1.1491366873865263e+33
17.0ms	-1.9846239965088738e+62	-2.8435480806991055e+51

Samples

17.0ms

272×

valid

Compiler

Compiled 218 to 182 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (42.6% of total)

ival-div: 2.0ms (28.4% of total)

ival-sub: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Memory

-14.6MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	203
1	90	203
2	95	203
3	97	203
4	98	203

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -2285826382849389/2787593149816327892691964784081045188247552 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 y #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))
(if (<=.f64 x #s(literal -950000000000000062865669436217673642759837063788622387800162749246003530523012000135945592905556557329940372184433229995811082271079298907558136942132635434435125182464 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 279999999999999982570334660458614809950750040222176443252031667346261697399620979722358840829627512210670077874828276896247054336 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1418129833677085/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -2150000000000000052971147838427051350426451532456447538653832736519338590208 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 5324132520958563/5070602400912917605986812821504 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -13199999999999999051008748107595776 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 5577662641004209/1267650600228229401496703205376 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -10599999999999999396450857634266907388971285372469248 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 12500000000000000670770275549184 binary64)) (.f64 #s(literal -2 binary64) x) (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) x)

Outputs
(if (<=.f64 y #s(literal -2285826382849389/2787593149816327892691964784081045188247552 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 y #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))
(if (<=.f64 y #s(literal -2285826382849389/2787593149816327892691964784081045188247552 binary64)) (.f64 x (/.f64 (.f64 y #s(literal 2 binary64)) (-.f64 x y))) (if (<=.f64 y #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (.f64 y (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x y))) (.f64 x (/.f64 (.f64 y #s(literal 2 binary64)) (-.f64 x y)))))
(if (<=.f64 x #s(literal -950000000000000062865669436217673642759837063788622387800162749246003530523012000135945592905556557329940372184433229995811082271079298907558136942132635434435125182464 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 279999999999999982570334660458614809950750040222176443252031667346261697399620979722358840829627512210670077874828276896247054336 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -950000000000000062865669436217673642759837063788622387800162749246003530523012000135945592905556557329940372184433229995811082271079298907558136942132635434435125182464 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 279999999999999982570334660458614809950750040222176443252031667346261697399620979722358840829627512210670077874828276896247054336 binary64)) (.f64 x (/.f64 (.f64 y #s(literal 2 binary64)) (-.f64 x y))) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -1418129833677085/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal -inf.0 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal -1418129833677085/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal 3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 (/.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -2150000000000000052971147838427051350426451532456447538653832736519338590208 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 5324132520958563/5070602400912917605986812821504 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -13199999999999999051008748107595776 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 5577662641004209/1267650600228229401496703205376 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -10599999999999999396450857634266907388971285372469248 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 12500000000000000670770275549184 binary64)) (.f64 #s(literal -2 binary64) x) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -10599999999999999396450857634266907388971285372469248 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 12500000000000000670770275549184 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))

soundness580.0ms (7.5%)

Memory

35.7MiB live, 388.1MiB allocated

Rules

14 398×	`accelerator-lowering-fma.f32`
14 398×	`accelerator-lowering-fma.f64`
5 632×	`/-lowering-/.f32`
5 632×	`/-lowering-/.f64`
5 052×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1013	523
3	3099	517
4	6414	517
0	8134	486
0	7	20
1	36	20
2	246	20
3	2747	20
0	9202	20

Stop Event

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

Compiler

Compiled 348 to 147 computations (57.8% saved)

preprocess110.0ms (1.4%)

Memory: -24.3MiB live, 127.1MiB allocated
Compiler: Compiled 544 to 176 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

sample1.0s (13.4%)

preprocess194.0ms (2.5%)

explain77.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (1%)

localize44.0ms (0.6%)

series7.0ms (0.1%)

rewrite321.0ms (4.1%)

simplify442.0ms (5.7%)

eval100.0ms (1.3%)

prune103.0ms (1.3%)

simplify261.0ms (3.4%)

localize132.0ms (1.7%)

series12.0ms (0.2%)

rewrite418.0ms (5.4%)

simplify666.0ms (8.6%)

eval323.0ms (4.2%)

prune173.0ms (2.2%)

simplify271.0ms (3.5%)

localize66.0ms (0.9%)

series13.0ms (0.2%)

rewrite801.0ms (10.4%)

simplify457.0ms (5.9%)

eval143.0ms (1.9%)

prune142.0ms (1.8%)

simplify289.0ms (3.7%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite82.0ms (1.1%)

simplify23.0ms (0.3%)

eval49.0ms (0.6%)

prune22.0ms (0.3%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch93.0ms (1.2%)

bsearch27.0ms (0.3%)

bsearch1.0ms (0%)

bsearch24.0ms (0.3%)

bsearch24.0ms (0.3%)

bsearch28.0ms (0.4%)

simplify13.0ms (0.2%)

soundness580.0ms (7.5%)

preprocess110.0ms (1.4%)

end0.0ms (0%)

Profiling