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

analyze22.0ms (0.6%)

Memory

16.5MiB live, 55.5MiB 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)

sample794.0ms (20.6%)

Memory

-29.1MiB live, 1 074.0MiB allocated

Samples

505.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-mult: 108.0ms (41.6% of total)

ival-add: 75.0ms (28.9% of total)

ival-div: 62.0ms (23.9% of total)

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

exact: 5.0ms (1.9% of total)

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

Bogosity

preprocess47.0ms (1.2%)

Memory

9.9MiB live, 47.1MiB 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)

explain79.0ms (2%)

Memory

7.4MiB live, 166.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
72	-	2	(6.405646958107496e-308 2.6426482667927653e-15)	`(/.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/o	41	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	41
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	29

Confusion

	Predicted +	Predicted -
+	70	2
-	0	184

Precision

1.0

Recall

0.9722222222222222

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	2
-	0	0	184

Precision?

1.0

Recall?

0.9722222222222222

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-mult: 10.0ms (58.8% of total)

ival-div: 3.0ms (17.7% of total)

ival-add: 3.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.5%	(/.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

11.4MiB live, 11.4MiB 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)

localize30.0ms (0.8%)

Memory

-32.3MiB live, 53.2MiB 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	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

22.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 9.0ms (57.1% of total)

ival-add: 4.0ms (25.4% of total)

ival-div: 2.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB 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
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))
1.0ms	x	@	0	(/ (+ x y) (* (* x 2) y))

simplify272.0ms (7.1%)

Memory

-14.1MiB live, 262.3MiB 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))

rewrite507.0ms (13.1%)

Memory

35.2MiB live, 602.5MiB 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))
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(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y (*.f64 (+.f64 x y) #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))) (neg.f64 (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 (neg.f64 (.f64 (.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))) (neg.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (.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))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y y))))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y 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 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.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 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (-.f64 x 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) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(.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)

eval82.0ms (2.1%)

Memory: 8.3MiB live, 204.6MiB allocated
Compiler: Compiled 15 436 to 1 658 computations (89.3% saved)

prune101.0ms (2.6%)

Memory

-9.8MiB live, 216.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	665	3	668
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	665	4	669

Accuracy

100.0%

Counts

669 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	88.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
▶	47.6%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	53.6%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 34 to 21 computations (38.2% saved)

simplify426.0ms (11%)

Memory

4.6MiB live, 438.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
✓	cost-diff	192	(/.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	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Rules

7 258×	`lower-*.f64`
7 258×	`lower-*.f32`
3 908×	`lower-fma.f32`
3 906×	`lower-fma.f64`
2 886×	`cube-prod`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	16	74
0	22	74
1	33	74
2	52	74
3	72	74
4	79	74
5	88	74
6	97	74
7	127	72
8	168	72
9	302	72
10	726	72
11	1729	72
12	2383	72
13	3152	72
14	3928	72
15	4365	72
16	4888	72
17	5547	72
18	6150	72
19	6388	72
20	6501	72
21	6576	72
22	6650	72
23	7112	72
0	8214	72

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (2.8%)

Memory

-27.6MiB live, 87.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
✓	accuracy	88.2%	(/.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	47.6%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	53.6%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 61 to 16 computations (73.8% saved)

Precisions

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

ival-div: 8.0ms (48% of total)

ival-mult: 5.0ms (30% of total)

ival-add: 3.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

8 → 168

Calls

Call 1

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

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 (/ 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 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 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 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>
#<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)>

Calls

42 calls:

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

simplify384.0ms (9.9%)

Memory

-1.7MiB live, 500.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 738×	`lower-fma.f64`
8 738×	`lower-fma.f32`
7 378×	`lower-*.f64`
7 378×	`lower-*.f32`
1 890×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1008
1	50	1008
2	86	1008
3	128	1008
4	167	1008
5	370	1008
6	930	864
7	2169	864
8	3018	864
9	3949	864
10	4856	864
11	5712	864
12	7115	864
0	8229	846

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)))
(/ 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 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 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 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
(+ 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)

Outputs
(/ 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 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 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 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 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
#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)

rewrite301.0ms (7.8%)

Memory

-14.5MiB live, 425.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 482×	`lower-*.f64`
4 482×	`lower-*.f32`
3 584×	`lower-/.f32`
3 576×	`lower-/.f64`
2 746×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	22	67
1	91	67
2	556	67
3	6295	67
0	8026	67

Stop Event

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

Counts

8 → 281

Calls

Call 1

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

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

eval49.0ms (1.3%)

Memory: 11.2MiB live, 125.7MiB allocated
Compiler: Compiled 7 658 to 689 computations (91% saved)

prune41.0ms (1.1%)

Memory

-8.1MiB live, 112.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	449	0	449
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	449	4	453

Accuracy

100.0%

Counts

453 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	88.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
✓	47.6%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	53.6%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 62 to 34 computations (45.2% saved)

regimes7.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.1%	2	`x`
96.9%	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)

regimes7.0ms (0.2%)

Memory

-17.3MiB live, 20.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	y
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	x

Results

Accuracy	Segments	Branch
88.8%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
88.1%	3	`x`
89.4%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
80.3%	2	`x`
84.7%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-23.1MiB live, 14.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	y
1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
53.6%	1	`x`
53.6%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
53.6%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch9.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.6005920006853598e+65	7.544307001068597e+65

Samples

5.0ms

96×

valid

Compiler

Compiled 128 to 84 computations (34.4% saved)

Precisions

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

ival-div: 1.0ms (38.8% of total)

ival-add: 1.0ms (38.8% of total)

ival-mult: 1.0ms (38.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.9%)

Memory

-38.5MiB live, 54.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.9291726679218915e+114	3.972338890932873e+122
13.0ms	1.950465667784463e-183	1.028347174466279e-180

Samples

15.0ms

272×

valid

Compiler

Compiled 337 to 233 computations (30.9% saved)

Precisions

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

ival-mult: 5.0ms (54.6% of total)

ival-div: 2.0ms (21.8% of total)

ival-add: 2.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3894354542670755e-77	1.9523838966306096e-66

Samples

7.0ms

160×

valid

Compiler

Compiled 154 to 112 computations (27.3% saved)

Precisions

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

ival-mult: 2.0ms (48.9% of total)

ival-div: 1.0ms (24.4% of total)

ival-add: 1.0ms (24.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	121
1	35	121

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 750000000000000005759802795774477226800149574436992572489222586368 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 7942296627156717/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 379999999999999979787075584064403135174631049139385062530578918070147337001684299048544166786730682721712866463117998030848 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 6313673899733619/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Outputs
(if (<=.f64 y #s(literal 750000000000000005759802795774477226800149574436992572489222586368 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 7942296627156717/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 379999999999999979787075584064403135174631049139385062530578918070147337001684299048544166786730682721712866463117998030848 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 7942296627156717/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 379999999999999979787075584064403135174631049139385062530578918070147337001684299048544166786730682721712866463117998030848 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 6313673899733619/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

soundness442.0ms (11.5%)

Memory

-9.0MiB live, 185.0MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 100 to 55 computations (45% saved)

preprocess62.0ms (1.6%)

Memory: 24.0MiB live, 136.4MiB allocated
Compiler: Compiled 198 to 96 computations (51.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.6%)

sample794.0ms (20.6%)

preprocess47.0ms (1.2%)

explain79.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize30.0ms (0.8%)

series9.0ms (0.2%)

simplify272.0ms (7.1%)

rewrite507.0ms (13.1%)

eval82.0ms (2.1%)

prune101.0ms (2.6%)

simplify426.0ms (11%)

localize109.0ms (2.8%)

series6.0ms (0.2%)

simplify384.0ms (9.9%)

rewrite301.0ms (7.8%)

eval49.0ms (1.3%)

prune41.0ms (1.1%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch9.0ms (0.2%)

bsearch33.0ms (0.9%)

bsearch15.0ms (0.4%)

simplify7.0ms (0.2%)

soundness442.0ms (11.5%)

preprocess62.0ms (1.6%)

end0.0ms (0%)

Profiling