Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, C

analyze30.0ms (0.4%)

Memory

-11.2MiB live, 27.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample781.0ms (11.1%)

Memory

-13.9MiB live, 1 096.1MiB allocated

Samples

415.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-mult: 111.0ms (44.8% of total)

ival-add: 67.0ms (27% of total)

ival-div: 57.0ms (23% of total)

ival-true: 5.0ms (2% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess48.0ms (0.7%)

Memory

-6.8MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 808×	`div-sub`
832×	`distribute-rgt-in`
832×	`distribute-lft-in`
620×	`sub-neg`
502×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	62	45
2	206	45
3	853	45
4	2809	37
5	6431	37
0	7	9
0	11	9
1	18	9
2	32	9
3	46	9
4	48	9
0	48	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

explain236.0ms (3.3%)

Memory

-5.5MiB live, 147.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
75	-	2	(-5.1059290283759e-19 1.2845890854843824e-301)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	39	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	39
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	34	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	34

Confusion

	Predicted +	Predicted -
+	73	2
-	0	181

Precision

1.0

Recall

0.9733333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	2
-	0	0	181

Precision?

1.0

Recall?

0.9733333333333334

Freqs

test

number	freq
0	183
1	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 58.0ms (89.3% of total)

ival-div: 3.0ms (4.6% of total)

ival-add: 3.0ms (4.6% 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

38×	`lower-/.f32`
36×	`lower-/.f64`
32×	`associate-/r*`
24×	`lower-*.f32`
20×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	18	23
2	32	23
3	46	23
4	48	23
0	48	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.6%)

Memory

4.5MiB live, 48.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	72.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

33.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 4.0ms (57% of total)

ival-div: 2.0ms (28.5% of total)

ival-add: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

-16.3MiB live, 22.3MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(* (* x 2) y)
1.0ms	x	@	-inf	(* x 2)
1.0ms	y	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	-inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	inf	(/ (+ x y) (* (* x 2) y))

rewrite366.0ms (5.2%)

Memory

29.2MiB live, 428.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 768×	`lower-/.f32`
5 766×	`lower-/.f64`
4 196×	`lower-*.f32`
4 192×	`lower-*.f64`
1 826×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	39	20
2	251	20
3	2914	20
0	8839	20

Stop Event

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

Counts

4 → 590

Calls

Call 1

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

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

simplify271.0ms (3.8%)

Memory

8.2MiB live, 401.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 386×	`lower-*.f64`
4 386×	`lower-*.f32`
3 612×	`lower-fma.f64`
3 612×	`lower-fma.f32`
1 824×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	475	372
4	1337	372
5	2530	372
6	4212	372
7	5357	372
8	6256	372
9	6909	372
10	7367	372
11	7968	372
0	8227	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

eval82.0ms (1.2%)

Memory: -23.1MiB live, 209.8MiB allocated
Compiler: Compiled 15 358 to 1 658 computations (89.2% saved)

prune103.0ms (1.5%)

Memory

1.2MiB live, 236.5MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	663	5	668
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	663	6	669

Accuracy

100.0%

Counts

669 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.4%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶	86.4%	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64)))
✓	72.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	86.7%	(/.f64 (.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)
▶	51.9%	(/.f64 #s(literal 1/2 binary64) y)
▶	49.3%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 99 to 67 computations (32.3% saved)

simplify711.0ms (10.1%)

Memory

30.1MiB live, 1 259.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) x)
✓	cost-diff	384	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)
✓	cost-diff	448	(.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))

Rules

35 204×	`lower-fma.f32`
35 202×	`lower-fma.f64`
6 642×	`lower-*.f32`
6 636×	`lower-*.f64`
4 112×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	88
0	32	93
1	52	85
2	99	85
3	226	85
4	548	85
5	941	79
6	2175	79
7	3444	79
8	4387	79
9	5214	79
10	6096	79
11	6537	79
12	6824	79
13	6824	79
0	8999	78

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (0.8%)

Memory

15.6MiB live, 132.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	86.4%	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	accuracy	86.4%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	86.7%	(/.f64 (.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 92 to 21 computations (77.2% saved)

Precisions

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

ival-div: 14.0ms (62% of total)

ival-mult: 6.0ms (26.6% of total)

ival-add: 3.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-32.8MiB live, 47.1MiB allocated

Counts

12 → 252

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (.f64 (.f64 (+.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x)>
#<alt (*.f64 (+.f64 x y) #s(literal 1/2 binary64))>
#<alt (+.f64 x y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))>
#<alt (/.f64 y x)>
#<alt (/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x y) x)>
#<alt (*.f64 y #s(literal 2 binary64))>

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* (* (+ x y) 1/2) (/ 1 y))
1.0ms	y	@	-inf	(/ (+ (* 1/2 (/ y x)) 1/2) y)
1.0ms	y	@	inf	(/ (+ (* 1/2 (/ y x)) 1/2) y)
0.0ms	y	@	0	(/ (+ (* 1/2 (/ y x)) 1/2) y)
0.0ms	y	@	-inf	(/ y x)

rewrite571.0ms (8.1%)

Memory

13.3MiB live, 378.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 738×	`lower-*.f32`
4 732×	`lower-*.f64`
4 130×	`lower-/.f32`
4 114×	`lower-/.f64`
2 944×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	32	64
1	125	64
2	806	64
3	7341	64
0	8248	64

Stop Event

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

Counts

12 → 1 077

Calls

Call 1

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

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

simplify260.0ms (3.7%)

Memory

10.4MiB live, 242.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 766×	`lower-fma.f64`
5 766×	`lower-fma.f32`
2 716×	`lower-*.f64`
2 716×	`lower-*.f32`
1 880×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	1278
1	161	1278
2	348	1278
3	1012	1170
4	2841	1170
5	6857	1170
0	8146	1134

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 246

Calls

Call 1

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

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

eval292.0ms (4.1%)

Memory: 3.7MiB live, 356.0MiB allocated
Compiler: Compiled 24 466 to 2 444 computations (90% saved)

prune135.0ms (1.9%)

Memory

20.2MiB live, 340.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 408	2	1 410
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 410	6	1 416

Accuracy

100.0%

Counts

1 416 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y)
✓	86.4%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	72.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	86.7%	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) x)
✓	51.9%	(/.f64 #s(literal 1/2 binary64) y)
✓	49.3%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify449.0ms (6.4%)

Memory

-35.0MiB live, 647.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y))
✓	cost-diff	256	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) x)

Rules

13 480×	`lower-fma.f32`
13 478×	`lower-fma.f64`
5 462×	`lower-/.f32`
5 454×	`lower-/.f64`
3 638×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	18	46
1	34	46
2	63	46
3	82	46
4	107	46
5	131	46
6	213	42
7	740	42
8	3548	42
9	4547	42
10	5117	42
11	6340	42
12	6545	42
13	6633	42
14	6702	42
15	6721	42
16	6721	42
17	6721	42
18	6721	42
0	9399	41

Stop Event

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

Calls

Call 1

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

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

localize35.0ms (0.5%)

Memory

30.7MiB live, 67.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64))
✓	accuracy	86.4%	(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y))
✓	accuracy	86.7%	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) x)

Samples

24.0ms

256×

valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 10.0ms (64.3% of total)

ival-mult: 3.0ms (19.3% of total)

ival-add: 2.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.5%)

Memory

-66.4MiB live, 19.2MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) x)>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 x y)>
#<alt (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y)>
#<alt (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>

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

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(/ (+ (* (/ 1/2 x) y) 1/2) y)
3.0ms	x	@	inf	(/ (+ (* (/ 1/2 x) y) 1/2) y)
0.0ms	y	@	-inf	(/ (+ (* (/ 1/2 x) y) 1/2) y)
0.0ms	y	@	inf	(/ (+ (* (/ 1/2 x) y) 1/2) y)
0.0ms	y	@	inf	(/ (* (/ 1/2 y) (+ x y)) x)

rewrite234.0ms (3.3%)

Memory

0.1MiB live, 430.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 532×	`lower-*.f32`
4 530×	`lower-*.f64`
4 060×	`lower-/.f32`
4 052×	`lower-/.f64`
3 310×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	18	39
1	86	39
2	643	39
0	8435	37

Stop Event

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

Counts

7 → 714

Calls

Call 1

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

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

simplify470.0ms (6.7%)

Memory

-4.5MiB live, 200.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 802×	`lower-*.f64`
4 802×	`lower-*.f32`
4 172×	`lower-fma.f64`
4 172×	`lower-fma.f32`
1 698×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	780
1	108	780
2	233	780
3	642	708
4	1843	708
5	4259	708
6	6661	708
7	7308	708
8	7868	708
0	8776	672

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 138

Calls

Call 1

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

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

eval188.0ms (2.7%)

Memory: 46.7MiB live, 156.6MiB allocated
Compiler: Compiled 16 151 to 1 959 computations (87.9% saved)

prune301.0ms (4.3%)

Memory

-22.3MiB live, 180.7MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	852	0	852
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	852	6	858

Accuracy

100.0%

Counts

858 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y)
✓	86.4%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	72.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	86.7%	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) x)
✓	51.9%	(/.f64 #s(literal 1/2 binary64) y)
✓	49.3%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 114 to 59 computations (48.2% saved)

regimes10.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`y`
99.5%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes22.0ms (0.3%)

Memory

-27.2MiB live, 12.1MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y)

Outputs
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) x)

Calls

2 calls:

19.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
96.0%	2	`x`
96.7%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)

Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
87.0%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
89.7%	4	`x`
92.4%	4	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)

Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
81.6%	2	`x`
85.5%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)

Outputs
(/.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
49.3%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch34.0ms (0.5%)

Memory

-24.2MiB live, 14.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	4.4534327861926874e+20	1.8258776244783143e+21

Samples

30.0ms

96×

valid

Compiler

Compiled 152 to 102 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (40.3% of total)

ival-add: 1.0ms (40.3% of total)

ival-mult: 1.0ms (40.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.5003009413545555e+120	3.9926394622420425e+122

Samples

5.0ms

112×

valid

Compiler

Compiled 133 to 96 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (35.6% of total)

ival-add: 1.0ms (35.6% of total)

ival-mult: 1.0ms (35.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.5003009413545555e+120	3.9926394622420425e+122

Compiler

Compiled 133 to 96 computations (27.8% saved)

bsearch81.0ms (1.1%)

Memory

-4.6MiB live, 32.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.5003009413545555e+120	3.9926394622420425e+122
9.0ms	1.5234720623715836e-137	2.119940929738453e-135
68.0ms	1.1299966554592713e-175	1.7983995469068378e-174

Samples

10.0ms

224×

valid

Compiler

Compiled 338 to 254 computations (24.9% saved)

Precisions

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

ival-mult: 3.0ms (53.3% of total)

ival-div: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1299966554592713e-175	1.7983995469068378e-174

Compiler

Compiled 86 to 72 computations (16.3% saved)

simplify153.0ms (2.2%)

Memory

-21.1MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	94
1	38	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 680000000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) x))
(if (<=.f64 y #s(literal 389999999999999992774727309481256338753539249055355057292714088906071522639094412777998598644818253521867307598151466090496 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 389999999999999992774727309481256338753539249055355057292714088906071522639094412777998598644818253521867307598151466090496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 7797139727381681/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6494406966065945/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (/.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 350000000000000014216076119496131895984175099058257183734253058947370739692296818241712906043981828561843242582039563599872 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 7797139727381681/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

Outputs
(if (<=.f64 y #s(literal 680000000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 x y)) x))
(if (<=.f64 y #s(literal 680000000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 y x)) x))
(if (<=.f64 y #s(literal 389999999999999992774727309481256338753539249055355057292714088906071522639094412777998598644818253521867307598151466090496 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 389999999999999992774727309481256338753539249055355057292714088906071522639094412777998598644818253521867307598151466090496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 7797139727381681/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6494406966065945/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (/.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 350000000000000014216076119496131895984175099058257183734253058947370739692296818241712906043981828561843242582039563599872 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 7797139727381681/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6494406966065945/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (/.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 350000000000000014216076119496131895984175099058257183734253058947370739692296818241712906043981828561843242582039563599872 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 7797139727381681/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness878.0ms (12.4%)

Memory

10.5MiB live, 413.9MiB allocated

Rules

5 768×	`lower-/.f32`
5 766×	`lower-/.f64`
4 738×	`lower-*.f32`
4 732×	`lower-*.f64`
4 386×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	475	372
4	1337	372
5	2530	372
6	4212	372
7	5357	372
8	6256	372
9	6909	372
10	7367	372
11	7968	372
0	8227	366
0	18	68
0	32	64
1	125	64
2	806	64
3	7341	64
0	8248	64
0	7	20
0	11	20
1	39	20
2	251	20
3	2914	20
0	8839	20

Stop Event

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

Compiler

Compiled 205 to 108 computations (47.3% saved)

preprocess105.0ms (1.5%)

Memory: -5.2MiB live, 152.2MiB allocated
Compiler: Compiled 278 to 120 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze30.0ms (0.4%)

sample781.0ms (11.1%)

preprocess48.0ms (0.7%)

explain236.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize40.0ms (0.6%)

series25.0ms (0.3%)

rewrite366.0ms (5.2%)

simplify271.0ms (3.8%)

eval82.0ms (1.2%)

prune103.0ms (1.5%)

simplify711.0ms (10.1%)

localize55.0ms (0.8%)

series21.0ms (0.3%)

rewrite571.0ms (8.1%)

simplify260.0ms (3.7%)

eval292.0ms (4.1%)

prune135.0ms (1.9%)

simplify449.0ms (6.4%)

localize35.0ms (0.5%)

series37.0ms (0.5%)

rewrite234.0ms (3.3%)

simplify470.0ms (6.7%)

eval188.0ms (2.7%)

prune301.0ms (4.3%)

regimes10.0ms (0.1%)

regimes22.0ms (0.3%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

bsearch34.0ms (0.5%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch81.0ms (1.1%)

bsearch1.0ms (0%)

simplify153.0ms (2.2%)

soundness878.0ms (12.4%)

preprocess105.0ms (1.5%)

end0.0ms (0%)

Profiling