Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample726.0ms (11.4%)

Memory

-8.2MiB live, 1 202.1MiB allocated

Samples

506.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 180.0ms (69.6% of total)

ival-sub: 64.0ms (24.8% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 4.0ms (1.5% of total)

Bogosity

preprocess79.0ms (1.3%)

Memory

11.2MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
408×	`lower-*.f32`
402×	`lower-*.f64`
324×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	70	35
2	169	35
3	556	35
4	1118	35
5	1440	35
6	1562	35
7	1562	35
8	1562	35
0	7	9
0	11	7
1	20	7
2	44	7
3	95	7
4	173	7
5	233	7
6	383	7
7	551	7
8	756	7
9	806	7
0	806	7

Stop Event

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

Calls

Call 1

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

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

explain83.0ms (1.3%)

Memory

7.5MiB live, 198.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(-.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 x y))`	nan-rescue	10	0
↳	`(*.f64 x x)`	overflow	75
↳	`(*.f64 x y)`	overflow	31

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (69.3% of total)

ival-sub: 4.0ms (23.1% 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)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify39.0ms (0.6%)

Memory

-15.2MiB live, 65.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

672×	`lower-fma.f64`
672×	`lower-fma.f32`
408×	`lower-*.f32`
402×	`lower-*.f64`
140×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

20.2MiB live, 58.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	accuracy	96.6%	(-.f64 (.f64 x x) (.f64 x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (79.1% 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)

series10.0ms (0.2%)

Memory

-13.7MiB live, 23.8MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 x x) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))>
#<alt (*.f64 x x)>
#<alt (*.f64 x y)>

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

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 2 (- (* x x) (* x y)))
1.0ms	x	@	inf	(* x x)
1.0ms	x	@	inf	(- (* x x) (* x y))
0.0ms	y	@	inf	(- (* x x) (* x y))
0.0ms	x	@	0	(- (* x x) (* x y))

rewrite711.0ms (11.2%)

Memory

17.3MiB live, 701.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
4 364×	`lower-/.f64`
4 364×	`lower-/.f32`
3 768×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18

Stop Event

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

Counts

4 → 304

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 y (neg.f64 x)))
(+.f64 (.f64 y (neg.f64 x)) (.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x y)) (neg.f64 (.f64 x (/.f64 (.f64 y y) (+.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (.f64 x y))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x y)) (.f64 x (/.f64 (.f64 y y) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) (.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x y))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 y (.f64 x (.f64 x x))))))) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 y (.f64 x (.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 y (.f64 x (.f64 x x))))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 y (.f64 x (.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 y (.f64 x (.f64 x x))))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 y (.f64 x (.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))) (.f64 x (+.f64 x y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))) (.f64 x (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (fma.f64 x x (.f64 y y)))) (.f64 x (+.f64 x y))) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x x) (fma.f64 x x (.f64 y y)))) (.f64 x (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 x y)))) (/.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (+.f64 x y))) (neg.f64 (*.f64 x (+.f64 x y)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))) (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))))
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(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 x (+.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 8 binary64) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 #s(literal -2 binary64) (.f64 x y))) (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 #s(literal -2 binary64) (.f64 x y))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 x y)) (neg.f64 (.f64 x (-.f64 x y)))))) (neg.f64 (neg.f64 (*.f64 x (+.f64 x y)))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) (neg.f64 (.f64 x (-.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (*.f64 x (+.f64 x y)))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 x y)))
(/.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 #s(literal -2 binary64) (.f64 x y)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 (*.f64 x x) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 x (.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 y (+.f64 x y))))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (+.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (+.f64 x y))) (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))
(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) (-.f64 x y)) x)
(.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(.f64 (.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x y))))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (+.f64 x y))) (+.f64 x y)))
(.f64 (/.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (+.f64 x y))) x) (/.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (.f64 (.f64 x x) (.f64 y (+.f64 x y))) (-.f64 (.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))) (.f64 (.f64 x (-.f64 x y)) (.f64 x (+.f64 x y)))) (*.f64 x (-.f64 x y)))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (.f64 x y)) (-.f64 y x) (.f64 x (.f64 x (.f64 x x)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 y x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 y)) x)

simplify211.0ms (3.3%)

Memory

-10.1MiB live, 259.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 292×	`lower-fma.f64`
5 292×	`lower-fma.f32`
3 234×	`lower-*.f64`
3 234×	`lower-*.f32`
1 098×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	411
1	132	411
2	315	411
3	1121	375
4	3468	375
5	5520	375
6	6522	375
0	8010	375

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval71.0ms (1.1%)

Memory: -9.4MiB live, 69.9MiB allocated
Compiler: Compiled 15 843 to 1 074 computations (93.2% saved)

prune105.0ms (1.7%)

Memory

13.7MiB live, 91.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	383	5	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	5	389

Accuracy

100.0%

Counts

389 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
▶	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
▶	53.4%	(.f64 x (.f64 y #s(literal -2 binary64)))
▶	62.9%	(.f64 x (.f64 x #s(literal 2 binary64)))
▶	97.7%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (neg.f64 x))))

Compiler

Compiled 102 to 64 computations (37.3% saved)

simplify876.0ms (13.8%)

Memory

14.1MiB live, 440.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
✓	cost-diff	1408	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (neg.f64 x))))
✓	cost-diff	320	(fma.f64 x x (*.f64 y (neg.f64 x)))
✓	cost-diff	0	(*.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(.f64 x (.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))

Rules

11 328×	`lower-fma.f32`
11 326×	`lower-fma.f64`
3 788×	`lower-*.f32`
3 770×	`lower-*.f64`
2 052×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	107
0	33	97
1	68	97
2	171	95
3	525	95
4	1347	95
5	4499	95
0	8200	95

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.2%)

Memory

27.7MiB live, 134.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
✓	accuracy	95.1%	(.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
✓	accuracy	79.2%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (neg.f64 x))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	97.7%	(fma.f64 x x (*.f64 y (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(.f64 x (.f64 x #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) (.f64 x #s(literal 2 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 111 to 21 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 17.0ms (51% of total)

ival-add: 11.0ms (33% of total)

ival-sub: 2.0ms (6% of total)

ival-div: 2.0ms (6% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

13.0MiB live, 46.4MiB allocated

Counts

13 → 264

Calls

Call 1

Inputs
#<alt (.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 x y)>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (.f64 x (.f64 x #s(literal 2 binary64)))>
#<alt (.f64 x (.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 y #s(literal -2 binary64))>
#<alt (fma.f64 x x (*.f64 y (neg.f64 x)))>
#<alt (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (neg.f64 x))))>
#<alt (*.f64 y (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))>
#<alt (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))>
#<alt (*.f64 (+.f64 x y) (-.f64 x y))>

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

Calls

66 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	inf	(* (* x 2) (* (+ x y) (- x y)))
0.0ms	x	@	inf	(* (- x y) (* x 2))
0.0ms	x	@	-inf	(* (- x y) (* x 2))
0.0ms	x	@	0	(* (* x 2) (* (+ x y) (- x y)))

rewrite598.0ms (9.4%)

Memory

-49.1MiB live, 728.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 544×	`lower-fma.f32`
8 542×	`lower-fma.f64`
6 232×	`lower-*.f32`
6 214×	`lower-*.f64`
4 188×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	81
0	33	71
1	104	71
2	725	69
0	8652	69

Stop Event

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

Counts

13 → 1 535

Calls

Call 1

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

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

simplify357.0ms (5.6%)

Memory

0.7MiB live, 637.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 302×	`lower-fma.f64`
14 302×	`lower-fma.f32`
4 086×	`lower-*.f64`
4 086×	`lower-*.f32`
1 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1720
1	549	1572
2	1802	1484
3	6689	1480
0	8698	1454

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

Calls

Call 1

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

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

eval271.0ms (4.3%)

Memory: 42.9MiB live, 461.0MiB allocated
Compiler: Compiled 45 729 to 3 265 computations (92.9% saved)

prune159.0ms (2.5%)

Memory

-3.3MiB live, 325.5MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 962	1	1 963
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 963	5	1 968

Accuracy

100.0%

Counts

1 968 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
✓	53.4%	(.f64 x (.f64 y #s(literal -2 binary64)))
▶	89.4%	(.f64 x (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
✓	62.9%	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	97.7%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (neg.f64 x))))

Compiler

Compiled 46 to 31 computations (32.6% saved)

simplify288.0ms (4.5%)

Memory

11.2MiB live, 314.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
✓	cost-diff	704	(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))

Rules

7 516×	`lower-*.f32`
7 512×	`lower-*.f64`
3 374×	`cube-prod`
1 968×	`lower-fma.f32`
1 966×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	27	31
2	66	31
3	119	29
4	181	29
5	336	29
6	928	29
7	1653	29
8	2888	29
9	3353	29
10	3695	29
11	4258	29
12	5044	29
13	5372	29
14	5471	29
15	5531	29
16	5589	29
17	5647	29
18	6459	29
19	7894	29
0	8010	27

Stop Event

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

Calls

Call 1

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

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

localize29.0ms (0.5%)

Memory

-2.0MiB live, 70.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(.f64 x (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
✓	accuracy	89.8%	(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))

Samples

18.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (45.7% of total)

ival-div: 4.0ms (36.6% of total)

ival-add: 1.0ms (9.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series246.0ms (3.9%)

Memory

-147.0MiB live, 42.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
235.0ms	y	@	0	(+ (* -2 (/ y x)) 2)
3.0ms	y	@	-inf	(* x (+ (* -2 (/ y x)) 2))
1.0ms	x	@	-inf	(* x (+ (* -2 (/ y x)) 2))
1.0ms	y	@	inf	(* x (+ (* -2 (/ y x)) 2))
0.0ms	y	@	0	(* x (+ (* -2 (/ y x)) 2))

rewrite437.0ms (6.9%)

Memory

-4.6MiB live, 473.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 956×	`lower-fma.f32`
4 954×	`lower-fma.f64`
4 018×	`lower-/.f32`
4 016×	`lower-/.f64`
3 664×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	50	27
2	312	27
3	3214	25
0	8528	23

Stop Event

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

Counts

4 → 332

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y))
(+.f64 (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 #s(literal -2 binary64) y (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal -2 binary64) y (.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y))))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 x (/.f64 (.f64 #s(literal -2 binary64) y) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64)))
(fma.f64 y #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 y (.f64 (/.f64 #s(literal -2 binary64) x) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 y x) (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) x) x (.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) y) (.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal -2 binary64) y)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 x x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal -2 binary64)) (/.f64 y x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x y) (/.f64 #s(literal -2 binary64) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 y x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)) y (*.f64 x #s(literal 2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 y #s(literal -4 binary64)) x)) (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 x (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 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 y #s(literal -4 binary64)) x)) (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (.f64 x (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) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 y #s(literal -4 binary64)) x)))
(/.f64 (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (.f64 y #s(literal -4 binary64)) x))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 y #s(literal -4 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (.f64 y #s(literal -4 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64)))) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 x (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64)))) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 y y) (.f64 x x))))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -8 binary64)) x) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))) x) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 y y) (.f64 x x)))) x) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 y #s(literal -4 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))))) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))))) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 y y) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -8 binary64)) x)) (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))) x)) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))))
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(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 y #s(literal -4 binary64)) x)) (fma.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 512 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 16 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))) #s(literal -16 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 y y) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))))))) (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x)))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x))) #s(literal -8 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 y y) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (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) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.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 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -4 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)) (fma.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 16 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal -2 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x))) #s(literal -8 binary64))))
(exp.f64 (log.f64 (/.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) x)
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))

simplify177.0ms (2.8%)

Memory

18.1MiB live, 214.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 428×	`lower-*.f64`
3 428×	`lower-*.f32`
3 412×	`lower-fma.f64`
3 412×	`lower-fma.f32`
952×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	552
1	158	552
2	408	552
3	918	516
4	2375	480
5	5353	480
6	6712	480
7	7396	480
8	7841	480
0	8033	462

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval46.0ms (0.7%)

Memory: 17.7MiB live, 93.2MiB allocated
Compiler: Compiled 10 806 to 1 232 computations (88.6% saved)

prune75.0ms (1.2%)

Memory

-0.1MiB live, 84.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	428	0	428
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	428	5	433

Accuracy

100.0%

Counts

433 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
✓	53.4%	(.f64 x (.f64 y #s(literal -2 binary64)))
✓	89.4%	(.f64 x (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
✓	62.9%	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	97.7%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (neg.f64 x))))

Compiler

Compiled 108 to 57 computations (47.2% saved)

regimes13.0ms (0.2%)

Memory

-13.8MiB live, 24.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 x y))
3.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
1.0ms	y
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
81.3%	3	`x`
85.3%	3	`y`
79.5%	4	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
79.5%	4	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory

-25.2MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
1.0ms	x
1.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
62.9%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
62.9%	1	`(-.f64 (.f64 x x) (.f64 x y))`
62.9%	1	`x`
62.9%	1	`y`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch20.0ms (0.3%)

Memory

-4.3MiB live, 33.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.4388002075927982e+24	7.250803916105489e+31
5.0ms	-3.871512807477908e+96	-1.9589104120895684e+96

Samples

11.0ms

208×

valid

Compiler

Compiled 222 to 168 computations (24.3% saved)

Precisions

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

ival-mult: 4.0ms (60.2% of total)

ival-sub: 2.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	23	35
2	28	35
3	30	35
4	31	35

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (*.f64 x (*.f64 y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 170000000000000013254000640 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))

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

Outputs

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

(if (<=.f64 y #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (*.f64 x (*.f64 y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 170000000000000013254000640 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))

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

soundness544.0ms (8.6%)

Memory

18.4MiB live, 250.7MiB allocated

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
5 292×	`lower-fma.f64`
5 292×	`lower-fma.f32`
4 364×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	11	18
1	34	18
2	235	18
3	2204	18
0	8785	18
0	42	411
1	132	411
2	315	411
3	1121	375
4	3468	375
5	5520	375
6	6522	375
0	8010	375

Stop Event

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

Compiler

Compiled 67 to 37 computations (44.8% saved)

preprocess33.0ms (0.5%)

Memory: 2.2MiB live, 78.5MiB allocated
Compiler: Compiled 114 to 58 computations (49.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21

analyze0.0ms (0%)

sample726.0ms (11.4%)

preprocess79.0ms (1.3%)

explain83.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.6%)

localize21.0ms (0.3%)

series10.0ms (0.2%)

rewrite711.0ms (11.2%)

simplify211.0ms (3.3%)

eval71.0ms (1.1%)

prune105.0ms (1.7%)

simplify876.0ms (13.8%)

localize74.0ms (1.2%)

series26.0ms (0.4%)

rewrite598.0ms (9.4%)

simplify357.0ms (5.6%)

eval271.0ms (4.3%)

prune159.0ms (2.5%)

simplify288.0ms (4.5%)

localize29.0ms (0.5%)

series246.0ms (3.9%)

rewrite437.0ms (6.9%)

simplify177.0ms (2.8%)

eval46.0ms (0.7%)

prune75.0ms (1.2%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch20.0ms (0.3%)

simplify7.0ms (0.1%)

soundness544.0ms (8.6%)

preprocess33.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	25
0	11	21
1	20	21
2	44	21
3	95	21
4	173	21
5	233	21
6	383	21
7	551	21
8	756	21
9	806	21
0	806	21