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

analyze26.0ms (0.3%)

Memory

-17.8MiB live, 21.1MiB 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)

sample938.0ms (10%)

Memory

-93.6MiB live, 1 143.2MiB allocated

Samples

692.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 462.0ms

ival-div: 287.0ms (62.1% of total)

ival-mult: 112.0ms (24.2% of total)

ival-sub: 51.0ms (11% of total)

ival-true: 5.0ms (1.1% of total)

exact: 4.0ms (0.9% of total)

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

Bogosity

preprocess184.0ms (2%)

Memory

3.6MiB live, 155.5MiB 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))
(fma.f64 y (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))

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))))

explain84.0ms (0.9%)

Memory

22.8MiB live, 210.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
67	-	4	(1.9001048481925055e-183 3.456830692920227e-131)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x 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	-	`(.f64 (.f64 x #s(literal 2 binary64)) 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	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	30	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	30

Confusion

	Predicted +	Predicted -
+	63	4
-	0	189

Precision

1.0

Recall

0.9402985074626866

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	4
-	0	0	189

Precision?

1.0

Recall?

0.9402985074626866

Freqs

test

number	freq
0	193
1	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (42.5% of total)

ival-div: 4.0ms (28.3% of total)

ival-sub: 3.0ms (21.2% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory

-37.3MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify73.0ms (0.8%)

Memory

4.5MiB live, 99.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	-64	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.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))
(fma.f64 y (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* x 2) y)
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
2
#s(literal 2 binary64)
y
(- x y)
(-.f64 x y)

localize21.0ms (0.2%)

Memory

13.0MiB live, 52.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	76.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (47.3% of total)

ival-div: 2.0ms (31.5% of total)

ival-sub: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-21.4MiB live, 18.1MiB allocated

Counts

4 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite478.0ms (5.1%)

Memory

34.8MiB live, 628.6MiB 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 y)
(* (* x 2) y)
(* x 2)

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))))
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(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
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(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
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(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
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(.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)))
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(*.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) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (+.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)))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y #s(literal -2 binary64))))
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(.f64 #s(literal 2 binary64) (.f64 x y))
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(.f64 (.f64 x #s(literal 2 binary64)) y)
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(.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x y) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 2 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y #s(literal -2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -2 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 2 binary64) y))
(.f64 (neg.f64 (.f64 x #s(literal -2 binary64))) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

simplify590.0ms (6.3%)

Memory

-32.2MiB live, 882.3MiB 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	3112	517
4	6444	517
0	8173	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)))
(* -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 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)

Outputs
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #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 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)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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) (fma.f64 y (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (*.f64 x x)))))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #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) (fma.f64 x (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (*.f64 y y)))))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #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))
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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 y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 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))

eval87.0ms (0.9%)

Memory: 28.5MiB live, 140.3MiB allocated
Compiler: Compiled 13 515 to 1 317 computations (90.3% saved)

prune105.0ms (1.1%)

Memory

1.7MiB live, 160.7MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	483	6	489
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	483	7	490

Accuracy

100.0%

Counts

490 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
▶	50.1%	(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
✓	76.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
	85.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
▶	88.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶	49.9%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
▶	50.1%	(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))

Compiler

Compiled 119 to 79 computations (33.6% saved)

simplify286.0ms (3.1%)

Memory

34.7MiB live, 253.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	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	-64	(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓	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	(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	-64	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))

Rules

2 256×	`accelerator-lowering-fma.f32`
2 256×	`accelerator-lowering-fma.f64`
1 648×	`-lowering-.f32`
1 648×	`-lowering-.f64`
774×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	51	81
2	108	81
3	197	81
4	254	81
5	372	81
6	670	81
7	1345	81
8	2508	81
9	3278	81
10	3533	81
11	3618	81
12	3637	81
13	3645	81
14	3938	81
15	4038	81
16	4038	81
17	4038	81
18	4038	81
19	4058	81
20	4066	81
21	4066	81
22	4138	81
23	4637	81
0	4637	77

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (* x 2) (- x y)) y)
(/ (* x 2) (- x y))
(* x 2)
x
2
(- x y)
y
(+ (* -2 x) 0)
-2
x
0
(+ (* y 2) 0)
y
2
0
(* x (+ (* -2 (/ x y)) -2))
x
(+ (* -2 (/ x y)) -2)
-2
(/ x y)
y
(* y (+ (* y (/ 2 x)) 2))
y
(+ (* y (/ 2 x)) 2)
(/ 2 x)
2
x

Outputs
(* (/ (* x 2) (- x y)) y)
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 y (-.f64 x y)) #s(literal 0 binary64))
(/ (* x 2) (- x y))
(fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 0 binary64))
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
2
#s(literal 2 binary64)
(- x y)
(-.f64 x y)
y
(+ (* -2 x) 0)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
x
0
#s(literal 0 binary64)
(+ (* y 2) 0)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
y
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(* x (+ (* -2 (/ x y)) -2))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) #s(literal 0 binary64))
x
(+ (* -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)
y
(* y (+ (* y (/ 2 x)) 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))
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

localize63.0ms (0.7%)

Memory

-32.4MiB live, 166.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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	99.9%	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	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 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓	accuracy	100.0%	(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
✓	accuracy	88.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)

Samples

36.0ms

256×

valid

Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions

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

ival-mult: 12.0ms (51.6% of total)

ival-div: 6.0ms (25.8% of total)

ival-add: 4.0ms (17.2% of total)

ival-sub: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

32.9MiB live, 32.9MiB allocated

Counts

12 → 240

Calls

Call 1

Inputs
#<alt (/ (* x 2) (- x y))>
#<alt (- x y)>
#<alt (* (/ (* x 2) (- x y)) y)>
#<alt (* x 2)>
#<alt (+ (* -2 x) 0)>
#<alt (+ (* y 2) 0)>
#<alt (+ (* -2 (/ x y)) -2)>
#<alt (/ x y)>
#<alt (* x (+ (* -2 (/ x y)) -2))>
#<alt (+ (* y (/ 2 x)) 2)>
#<alt (/ 2 x)>
#<alt (* y (+ (* y (/ 2 x)) 2))>

Outputs
#<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 (* -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 (* 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)>
#<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 -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)>
#<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 (* 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 (* 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)))>

Calls

60 calls:

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

rewrite740.0ms (7.9%)

Memory

-25.1MiB live, 928.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 292×	`accelerator-lowering-fma.f32`
9 292×	`accelerator-lowering-fma.f64`
5 018×	`-lowering-.f32`
5 018×	`-lowering-.f64`
3 690×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	66
1	133	66
2	1092	66
0	8616	62

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 236

Calls

Call 1

Inputs
(/ (* x 2) (- x y))
(- x y)
(* (/ (* x 2) (- x y)) y)
(* x 2)
(+ (* -2 x) 0)
(+ (* y 2) 0)
(+ (* -2 (/ x y)) -2)
(/ x y)
(* x (+ (* -2 (/ x y)) -2))
(+ (* y (/ 2 x)) 2)
(/ 2 x)
(* y (+ (* y (/ 2 x)) 2))

Outputs
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 y (+.f64 x y))))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 y (+.f64 x y))) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 x x (.f64 y y))) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 x y)))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) x) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) y))
(+.f64 (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) y) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) x))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))))
(+.f64 (.f64 (.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) (.f64 (.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))))
(+.f64 (.f64 (fma.f64 x x (.f64 y y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) (.f64 (.f64 x y) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))))
(+.f64 (.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y)))) (.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y)))))
(+.f64 (.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y)))) (.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) (/.f64 #s(literal 0 binary64) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 y x)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(fma.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (fma.f64 x x (.f64 y y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 x y) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 x x) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (.f64 y (+.f64 x y)) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 x x (.f64 y y)) (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (*.f64 x y)))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) x (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) y))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) y (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) x))
(neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 y x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))
(/.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 x y))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))))
(pow.f64 (/.f64 (-.f64 x y) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 x y)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) x)
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 y x)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x)))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) (+.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (.f64 x x)))
(.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (/.f64 x (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x)))))
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(.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) x)))))
(.f64 (.f64 y (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) x)))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) #s(literal -4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))

simplify483.0ms (5.2%)

Memory

-12.7MiB live, 790.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 704×	`accelerator-lowering-fma.f32`
12 704×	`accelerator-lowering-fma.f64`
4 858×	`-lowering-.f32`
4 858×	`-lowering-.f64`
1 500×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1656
1	630	1610
2	1795	1551
3	5829	1551
0	8260	1428

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* -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))
(* -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)
(* 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)
(* 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)
-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)
(/ 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 (* 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 (* 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)))

Outputs
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(.f64 x (fma.f64 x (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (/.f64 #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 #s(literal -2 binary64) (.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (.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 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) x))
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 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) x))
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 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) x))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) 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) y) (+.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 y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))
(/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))
(/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) 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)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) 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 x (fma.f64 x (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (/.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #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 (pow.f64 y #s(literal 4 binary64)) (.f64 x (*.f64 x x)))))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #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 (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) x))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) x)))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) 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)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) 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)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 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 #s(literal -2 binary64) (/.f64 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 #s(literal -2 binary64) (/.f64 x y))
(/ (+ (* -2 x) (* -2 y)) y)
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(/ (+ (* -2 x) (* -2 y)) y)
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(/ (+ (* -2 x) (* -2 y)) y)
(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))
-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))
(/ 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)
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* x (- (* -2 (/ x y)) 2))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* x (- (* -2 (/ x y)) 2))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -2 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -2 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -2 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(.f64 #s(literal -2 binary64) (/.f64 (.f64 x (+.f64 x y)) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(.f64 #s(literal -2 binary64) (/.f64 (.f64 x (+.f64 x y)) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(.f64 #s(literal -2 binary64) (/.f64 (.f64 x (+.f64 x y)) y))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 (fma.f64 y #s(literal 2 binary64) #s(literal 0 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 (fma.f64 y #s(literal 2 binary64) #s(literal 0 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 (fma.f64 y #s(literal 2 binary64) #s(literal 0 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)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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 (fma.f64 y #s(literal 2 binary64) #s(literal 0 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 (fma.f64 y #s(literal 2 binary64) #s(literal 0 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 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y (+.f64 x y))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y (+.f64 x y))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y (+.f64 x y))) x)
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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)))

eval432.0ms (4.6%)

Memory: 3.1MiB live, 338.4MiB allocated
Compiler: Compiled 28 763 to 2 488 computations (91.3% saved)

prune173.0ms (1.9%)

Memory

17.4MiB live, 510.2MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 471	5	1 476
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	1 473	10	1 483

Accuracy

100.0%

Counts

1 483 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
✓	76.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	85.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	88.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶	38.8%	(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓	49.9%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
▶	50.4%	(*.f64 y #s(literal 2 binary64))
✓	50.1%	(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
▶	50.1%	(*.f64 x #s(literal -2 binary64))
▶	50.1%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))

Compiler

Compiled 148 to 98 computations (33.8% saved)

simplify414.0ms (4.4%)

Memory

-17.7MiB live, 348.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 x (/.f64 x y) x)
✓	cost-diff	-64	(*.f64 #s(literal -2 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	1024	(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓	cost-diff	-64	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) y)
✓	cost-diff	320	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))

Rules

6 636×	`accelerator-lowering-fma.f32`
6 636×	`accelerator-lowering-fma.f64`
3 538×	`-lowering-.f32`
3 538×	`-lowering-.f64`
2 666×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	42	69
2	89	69
3	145	69
4	186	69
5	652	69
6	2064	69
7	5176	69
0	8277	67

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize80.0ms (0.9%)

Memory

9.1MiB live, 85.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	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 x y)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 x y))
✓	accuracy	74.5%	(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) y)
✓	accuracy	85.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))

Samples

31.0ms

256×

valid

Compiler

Compiled 73 to 18 computations (75.3% saved)

Precisions

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

ival-mult: 10.0ms (54.8% of total)

ival-div: 5.0ms (27.4% of total)

ival-sub: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

-18.8MiB live, 17.5MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite351.0ms (3.8%)

Memory

33.2MiB live, 747.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 382×	`-lowering-.f32`
4 382×	`-lowering-.f64`
4 364×	`accelerator-lowering-fma.f32`
4 364×	`accelerator-lowering-fma.f64`
3 672×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	83	53
2	614	53
3	7087	53
0	8286	51

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 740

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) y)) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 y x))))
(neg.f64 (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 y x))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 y x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 x y)))))
(/.f64 x (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 y (/.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 x y))))
(/.f64 (/.f64 y (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 y x) y))
(/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal -2 binary64)))))
(/.f64 (/.f64 x (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x y))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 y x)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (-.f64 y x))
(/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 x y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x y))) (-.f64 x y))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.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 #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))
(.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 x y) (-.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 y x))))
(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y)))
(.f64 y (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 x y)) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 x (/.f64 (-.f64 y x) y)))
(.f64 #s(literal -2 binary64) (.f64 x (/.f64 y (-.f64 y x))))
(.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 y x) y)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 y (-.f64 y x))))
(.f64 (.f64 x y) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 x y)) (-.f64 x y)))
(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 y (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 y (-.f64 y x)))
(.f64 (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) y)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 y x))))
(.f64 (/.f64 y (-.f64 y x)) (.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y (+.f64 x y))))) (.f64 y (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 y (+.f64 x y)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (.f64 y (*.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 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 x #s(literal 2 binary64))))
(.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) (.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 y x)) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 x y) (-.f64 x y)) #s(literal 2 binary64))
(.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 y x)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)))
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(/.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 x (/.f64 x y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x))))) (fma.f64 x (/.f64 x (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (-.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y y))))) (-.f64 x (.f64 x (/.f64 x y))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 x (/.f64 x y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x)))) #s(literal -2 binary64)) (fma.f64 x (/.f64 x (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (.f64 (.f64 x (-.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y y)))) #s(literal -2 binary64)) (-.f64 x (.f64 x (/.f64 x y))))
(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) y)))
(*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
(.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (/.f64 x y)) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 x x (.f64 (.f64 x (/.f64 x y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))))
(.f64 (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) #s(literal -2 binary64)))
(.f64 (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -2 binary64) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y)) #s(literal 4 binary64) (.f64 (.f64 x #s(literal -2 binary64)) (-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) y))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 (.f64 x x) (.f64 y y))) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (/.f64 (.f64 x #s(literal -2 binary64)) y) #s(literal -2 binary64)))))
(.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (/.f64 x y)) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (-.f64 x (.f64 x (/.f64 x y)))) (.f64 (.f64 x x) (.f64 (-.f64 x (.f64 x (/.f64 x y))) (-.f64 x (.f64 x (/.f64 x y))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (-.f64 x (.f64 x (/.f64 x y)))) (-.f64 (.f64 x (-.f64 x (.f64 x (/.f64 x y)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x (.f64 (.f64 x (/.f64 x y)) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) (.f64 x (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (-.f64 x (.f64 x (/.f64 x y))))))) (.f64 x (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (-.f64 x (*.f64 x (/.f64 x y))))))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x)))) (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 x (/.f64 x y) x))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x (fma.f64 x (/.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) x)))) (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 y y)) (.f64 x (fma.f64 x (/.f64 x y) x))))

simplify714.0ms (7.6%)

Memory

-37.0MiB live, 727.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 900×	`accelerator-lowering-fma.f32`
16 900×	`accelerator-lowering-fma.f64`
5 058×	`-lowering-.f32`
5 058×	`-lowering-.f64`
2 598×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	1211
1	436	1197
2	1204	1177
3	3708	1169
4	7292	1169
0	8170	1106

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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)))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(* -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 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 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)
(/ 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 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))
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))
(* -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)))

Outputs
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #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 x (.f64 (/.f64 #s(literal -2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64))))) #s(literal -2 binary64)))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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))))))
(fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y (.f64 y y)) y)) (.f64 x (.f64 x x))))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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))
(-.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 y y (/.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 y (*.f64 y y)) y) x)) x))) x))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 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)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #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))))))
(fma.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (*.f64 y y))))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) (/.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))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(* x (- (/ 1 y) (/ 1 x)))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 y)) y)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(/ (+ x (* -1 y)) y)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(/ (+ x (* -1 y)) y)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(- (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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 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))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
(* -2 (/ x y))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64)) y)
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (/ (pow x 2) y))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 x x) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (/ (pow x 2) y))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 x x) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 (/ (pow x 2) y))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 x x) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64))

eval147.0ms (1.6%)

Memory: 22.1MiB live, 218.0MiB allocated
Compiler: Compiled 17 650 to 1 995 computations (88.7% saved)

prune114.0ms (1.2%)

Memory

10.0MiB live, 248.7MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 018	1	1 019
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	1 018	11	1 029

Accuracy

100.0%

Counts

1 029 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(fma.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
✓	76.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	85.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	88.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶	38.7%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)
✓	38.8%	(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓	49.9%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	50.4%	(*.f64 y #s(literal 2 binary64))
✓	50.1%	(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓	50.1%	(*.f64 x #s(literal -2 binary64))
✓	50.1%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))

Compiler

Compiled 104 to 68 computations (34.6% saved)

simplify316.0ms (3.4%)

Memory

-3.3MiB live, 400.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	384	(fma.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) y) x)
✓	cost-diff	1024	(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)

Rules

5 844×	`/-lowering-/.f32`
5 844×	`/-lowering-/.f64`
5 046×	`-lowering-.f32`
5 046×	`-lowering-.f64`
3 868×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	33	43
2	73	43
3	96	39
4	108	39
5	164	39
6	406	39
7	1694	39
8	2676	39
9	2873	39
10	2967	39
11	3101	39
12	3261	39
13	3450	39
14	3689	39
15	3967	39
16	4299	39
17	4681	39
18	5112	39
19	5353	39
20	5465	39
21	5550	39
22	5605	39
23	5661	39
0	8549	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (/ -2 y) x) y)
(* (/ -2 y) x)
(/ -2 y)
-2
y
x
(+ (* (/ y (* x 1/2)) y) (+ (* 2 y) 0))
(/ y (* x 1/2))
y
(* x 1/2)
x
1/2
(+ (* 2 y) 0)
2
0

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

localize51.0ms (0.5%)

Memory

-8.8MiB live, 68.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -2 binary64) y) x)
✓	accuracy	74.5%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)

Samples

38.0ms

256×

valid

Compiler

Compiled 48 to 17 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50.9% of total)

ival-div: 4.0ms (29.1% of total)

ival-add: 2.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (* (* (/ -2 y) x) y)>
#<alt (* (/ -2 y) x)>
#<alt (/ -2 y)>
#<alt (+ (* (/ y (* x 1/2)) y) (+ (* 2 y) 0))>
#<alt (* x 1/2)>
#<alt (+ (* 2 y) 0)>
#<alt (/ y (* x 1/2))>

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 (/ 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 (/ -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 (* 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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 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 x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* (/ y (* x 1/2)) y) (+ (* 2 y) 0))
0.0ms	x	@	inf	(+ (* (/ y (* x 1/2)) y) (+ (* 2 y) 0))
0.0ms	y	@	-inf	(/ y (* x 1/2))
0.0ms	y	@	inf	(+ (* (/ y (* x 1/2)) y) (+ (* 2 y) 0))
0.0ms	x	@	inf	(* x 1/2)

rewrite406.0ms (4.3%)

Memory

6.4MiB live, 723.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 976×	`accelerator-lowering-fma.f32`
9 976×	`accelerator-lowering-fma.f64`
4 366×	`-lowering-.f32`
4 366×	`-lowering-.f64`
3 268×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	75	35
2	606	35
0	8165	34

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 690

Calls

Call 1

Inputs
(* (* (/ -2 y) x) y)
(* (/ -2 y) x)
(/ -2 y)
(+ (* (/ y (* x 1/2)) y) (+ (* 2 y) 0))
(* x 1/2)
(+ (* 2 y) 0)
(/ y (* x 1/2))

Outputs
(neg.f64 (.f64 (/.f64 #s(literal 2 binary64) y) (.f64 y x)))
(neg.f64 (.f64 (.f64 y x) (/.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) y))
(/.f64 y (/.f64 y (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal -2 binary64) (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 2 binary64) (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y x)))
(/.f64 (.f64 y x) (.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 y x) y) #s(literal -1/2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) y)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 y x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 y x))) y)
(/.f64 (neg.f64 (.f64 y x)) (.f64 y #s(literal 1/2 binary64)))
(/.f64 (.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (.f64 y x) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 y x)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1 binary64)) y)
(.f64 #s(literal -2 binary64) (/.f64 (.f64 y x) y))
(.f64 y (/.f64 x (.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -2 binary64) y) (.f64 y x))
(.f64 x (/.f64 y (.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) y)
(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y x)))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 y x) (-.f64 #s(literal 0 binary64) y)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 y x)) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 y y))
(.f64 (.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 0 binary64)) (/.f64 x y))
(.f64 (/.f64 (.f64 y x) y) #s(literal -2 binary64))
(.f64 (/.f64 y (.f64 y #s(literal -1/2 binary64))) x)
(.f64 (.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(neg.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 x (*.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) x) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 x y) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) 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)))
(pow.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 (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 (fma.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(+.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)))))
(-.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 (.f64 y y) (.f64 x #s(literal -1/2 binary64))))
(-.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (fma.f64 y (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 y (-.f64 #s(literal 2 binary64) (/.f64 y (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 y (-.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))))
(fma.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) (fma.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 y (.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 y (/.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 y x) #s(literal 0 binary64)) x) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)))))
(fma.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x #s(literal 1/2 binary64))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 y y) x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) (fma.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y y) y) (fma.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 y y)) (fma.f64 y (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)))
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(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal -2 binary64) y #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1/4 binary64) (.f64 y y))))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 y y))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal -1/2 binary64))) (/.f64 y (.f64 x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 y (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) x)
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 x #s(literal -1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -2 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 y (.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -2 binary64) x))

simplify599.0ms (6.4%)

Memory

-19.9MiB live, 554.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 546×	`accelerator-lowering-fma.f32`
8 546×	`accelerator-lowering-fma.f64`
6 896×	`-lowering-.f32`
6 896×	`-lowering-.f64`
1 914×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	612
1	76	612
2	142	612
3	266	612
4	354	612
5	646	612
6	2392	612
7	3237	612
8	3702	612
9	4480	612
10	4697	612
11	4963	612
12	6705	612
0	9019	594

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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 (/ 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)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 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)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 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 x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))

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

eval108.0ms (1.2%)

Memory: -11.2MiB live, 258.1MiB allocated
Compiler: Compiled 18 384 to 1 627 computations (91.1% saved)

prune102.0ms (1.1%)

Memory

-7.6MiB live, 282.0MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	821	1	822
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	822	11	833

Accuracy

100.0%

Counts

833 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) y (.f64 y #s(literal 2 binary64)))
✓	76.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	85.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
✓	88.7%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓	38.7%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)
✓	38.8%	(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓	49.9%	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓	50.4%	(*.f64 y #s(literal 2 binary64))
✓	50.1%	(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓	50.1%	(*.f64 x #s(literal -2 binary64))
✓	50.1%	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))

Compiler

Compiled 205 to 103 computations (49.8% saved)

regimes16.0ms (0.2%)

Memory

3.8MiB live, 42.6MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(fma.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) y (.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))

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

Calls

3 calls:

6.0ms	x
5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`y`
99.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes15.0ms (0.2%)

Memory

2.1MiB live, 41.0MiB allocated

Counts

13 → 5

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(fma.f64 (/.f64 y (.f64 x #s(literal 1/2 binary64))) y (.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
95.3%	3	`x`
94.8%	2	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.8%	2	`y`
88.7%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes81.0ms (0.9%)

Memory

-13.1MiB live, 27.3MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))

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:

74.0ms	x
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	y

Results

Accuracy	Segments	Branch
62.9%	4	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
79.7%	3	`x`
77.1%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))

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
79.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) y)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.2%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-30.5MiB live, 8.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

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
50.1%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
50.1%	1	`y`
50.1%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch18.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.0209927254420392e-57	2.877541617268183e-57
10.0ms	-4.908223757504283e+56	-3.1716111040206316e+40

Samples

10.0ms

208×

valid

Compiler

Compiled 326 to 220 computations (32.5% saved)

Precisions

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

ival-mult: 3.0ms (57.6% of total)

ival-sub: 1.0ms (19.2% of total)

ival-div: 1.0ms (19.2% 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

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.066817940004794e-46	9.822589316555897e-46
0.0ms	-0.0	1.6529471001082193e-306
0.0ms	-2.988005940999913e-297	-0.0
0.0ms	-2.131233285575377e-116	-5.08165449921715e-117

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch17.0ms (0.2%)

Memory

-16.2MiB live, 21.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.154597731932285e+102	1.5898150777025547e+113

Samples

7.0ms

160×

valid

Compiler

Compiled 194 to 142 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (50.9% of total)

ival-sub: 1.0ms (25.5% of total)

ival-div: 1.0ms (25.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch52.0ms (0.6%)

Memory

9.2MiB live, 45.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	1.9671568829013616e-75	1.056229426145009e-65
12.0ms	-4.0411802864851756e-29	-1.2499843512989447e-40

Samples

15.0ms

320×

valid

Compiler

Compiled 404 to 272 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (49.7% of total)

ival-sub: 2.0ms (24.8% of total)

ival-div: 2.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

6.7MiB live, 47.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.9671568829013616e-75	1.056229426145009e-65
16.0ms	-4.0411802864851756e-29	-1.2499843512989447e-40

Samples

15.0ms

320×

valid

Compiler

Compiled 354 to 252 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (49.7% of total)

ival-sub: 2.0ms (24.8% of total)

ival-div: 2.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

-7.8MiB live, 68.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.874524977514847e-45	1.291576046788992e-42
14.0ms	-4.0411802864851756e-29	-1.2499843512989447e-40

Samples

14.0ms

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: 4.0ms (56.4% of total)

ival-div: 2.0ms (28.2% of total)

ival-sub: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Memory

8.8MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`if-if-or-not_binary32`
8×	`not-or_bool`
6×	`not-not_bool`
6×	`if-not_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	193
1	80	185
2	87	177
3	95	176
4	100	176
5	104	176
6	105	176
7	106	176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -40000000000000001215144113708014667563008 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 2385243537450819/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5890680864316837/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)))))
(if (<=.f64 y #s(literal 150000000000000002333912419420026453640230209538159215005465587064625067174713355489747808487257117151430942130176 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (*.f64 x #s(literal -2 binary64)))
(if (<=.f64 x #s(literal -7307508186654515/365375409332725729550921208179070754913983135744 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1639126877815459/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -6034201192159437/95780971304118053647396689196894323976171195136475136 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -2484552783462535/365375409332725729550921208179070754913983135744 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 3954574093293609/3138550867693340381917894711603833208051177722232017256448 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))

Outputs
(if (<=.f64 y #s(literal -40000000000000001215144113708014667563008 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 2385243537450819/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y #s(literal -40000000000000001215144113708014667563008 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 2385243537450819/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (.f64 y (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y))) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5890680864316837/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)))))
(if (<=.f64 (/.f64 (.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 x y)) #s(literal -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 y (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 x y)) #s(literal -5890680864316837/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944 binary64)) (/.f64 (.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 x y)) #s(literal 0 binary64)) (.f64 y (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 x y)) #s(literal 6427752177035961/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (.f64 y (.f64 x #s(literal 2 binary64))) (-.f64 x y)) (.f64 y (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)))))))
(if (<=.f64 y #s(literal 150000000000000002333912419420026453640230209538159215005465587064625067174713355489747808487257117151430942130176 binary64)) (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (*.f64 x #s(literal -2 binary64)))
(if (<=.f64 y #s(literal 150000000000000002333912419420026453640230209538159215005465587064625067174713355489747808487257117151430942130176 binary64)) (.f64 y (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y))) (*.f64 x #s(literal -2 binary64)))
(if (<=.f64 x #s(literal -7307508186654515/365375409332725729550921208179070754913983135744 binary64)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1639126877815459/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -6034201192159437/95780971304118053647396689196894323976171195136475136 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)) (*.f64 y #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -2484552783462535/365375409332725729550921208179070754913983135744 binary64)) (.f64 y #s(literal 2 binary64)) (if (<=.f64 x #s(literal 3954574093293609/3138550867693340381917894711603833208051177722232017256448 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))

soundness759.0ms (8.1%)

Memory

22.7MiB live, 603.4MiB allocated

Rules

14 398×	`accelerator-lowering-fma.f32`
14 398×	`accelerator-lowering-fma.f64`
9 292×	`accelerator-lowering-fma.f32`
9 292×	`accelerator-lowering-fma.f64`
5 632×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	66
1	133	66
2	1092	66
0	8616	62
0	136	557
1	378	543
2	1013	523
3	3112	517
4	6444	517
0	8173	486
0	7	20
1	36	20
2	246	20
3	2747	20
0	9202	20

Stop Event

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

Compiler

Compiled 375 to 171 computations (54.4% saved)

preprocess77.0ms (0.8%)

Memory: -2.0MiB live, 182.3MiB allocated
Compiler: Compiled 526 to 164 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze26.0ms (0.3%)

sample938.0ms (10%)

preprocess184.0ms (2%)

explain84.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify73.0ms (0.8%)

localize21.0ms (0.2%)

series8.0ms (0.1%)

rewrite478.0ms (5.1%)

simplify590.0ms (6.3%)

eval87.0ms (0.9%)

prune105.0ms (1.1%)

simplify286.0ms (3.1%)

localize63.0ms (0.7%)

series11.0ms (0.1%)

rewrite740.0ms (7.9%)

simplify483.0ms (5.2%)

eval432.0ms (4.6%)

prune173.0ms (1.9%)

simplify414.0ms (4.4%)

localize80.0ms (0.9%)

series30.0ms (0.3%)

rewrite351.0ms (3.8%)

simplify714.0ms (7.6%)

eval147.0ms (1.6%)

prune114.0ms (1.2%)

simplify316.0ms (3.4%)

localize51.0ms (0.5%)

series5.0ms (0.1%)

rewrite406.0ms (4.3%)

simplify599.0ms (6.4%)

eval108.0ms (1.2%)

prune102.0ms (1.1%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes81.0ms (0.9%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes19.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch52.0ms (0.6%)

bsearch31.0ms (0.3%)

bsearch26.0ms (0.3%)

simplify15.0ms (0.2%)

soundness759.0ms (8.1%)

preprocess77.0ms (0.8%)

end0.0ms (0%)

Profiling