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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze30.0ms (0.8%)

Memory

-13.6MiB live, 30.6MiB allocated; 13ms collecting garbage

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)

sample1.1s (28.4%)

Memory

38.1MiB live, 1 433.4MiB allocated; 295ms collecting garbage

Samples

786.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-mult: 192.0ms (49.6% of total)

ival-div: 112.0ms (29% of total)

ival-add: 66.0ms (17.1% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

adjust: 3.0ms (0.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain116.0ms (3%)

Memory

11.2MiB live, 148.7MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
74	-	5	(1.2914326445961613e-71 8.442826279710679e-249)	`(/.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	39	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	39
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	30	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	30

Confusion

	Predicted +	Predicted -
+	69	5
-	0	182

Precision

1.0

Recall

0.9324324324324325

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	5
-	0	0	182

Precision?

1.0

Recall?

0.9324324324324325

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (45.7% of total)

ival-div: 3.0ms (22.9% of total)

ival-add: 3.0ms (22.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess199.0ms (5.2%)

Memory

-2.1MiB live, 291.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	62	49
2	252	35
3	998	35
4	3140	35
0	7	9
0	11	9
1	23	9
2	61	7
3	167	7
4	491	7
5	3419	7
0	8368	7

Stop Event

1×	iter limit
1×	node limit
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 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval16.0ms (0.4%)

Memory: -44.1MiB live, 0.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify183.0ms (4.7%)

Memory

43.8MiB live, 268.8MiB allocated; 67ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	23	23
2	61	21
3	167	21
4	491	21
5	3419	21
0	8368	21

Stop Event

1×	iter limit
1×	node limit
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 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 x y)
(+.f64 y x)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize101.0ms (2.6%)

Memory

-15.8MiB live, 89.3MiB allocated; 22ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	17.137231419419887	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

68.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 40.0ms (88.2% of total)

ival-mult: 3.0ms (6.6% of total)

ival-div: 2.0ms (4.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series41.0ms (1.1%)

Memory

-16.6MiB live, 25.8MiB allocated; 8ms collecting garbage

Counts

4 → 14

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
1.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
1.0ms	y	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))

simplify183.0ms (4.7%)

Memory

13.0MiB live, 211.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	58
1	107	58
2	251	58
3	786	52
4	3888	52
5	7838	52
0	8098	52

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 12

Calls

Call 1

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

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

rewrite48.0ms (1.2%)

Memory

4.7MiB live, 102.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	39	20
0	238	20

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 39

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

eval4.0ms (0.1%)

Memory: 17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 146 computations (79.4% saved)

prune5.0ms (0.1%)

Memory

-34.8MiB live, 12.3MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Accuracy

100.0%

Counts

46 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
▶	73.2%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	50.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
▶	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify151.0ms (3.9%)

Memory

9.2MiB live, 192.6MiB allocated; 26ms collecting garbage

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	36	115
1	63	115
2	112	105
3	240	105
4	758	105
5	5450	105
0	8323	105

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.8%)

Memory

44.2MiB live, 123.0MiB allocated; 31ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.0078125	(/.f64 (+.f64 y x) x)
accuracy	6.849419800213587	(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	17.137231419419887	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	31.539463791142026	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	31.8881573620254	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0.0	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0.0234375	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Samples

58.0ms

256×

valid

Compiler

Compiled 101 to 22 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 18.0ms (60.3% of total)

ival-mult: 6.0ms (20.1% of total)

ival-add: 4.0ms (13.4% of total)

ival-sub: 1.0ms (3.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series57.0ms (1.5%)

Memory

-43.3MiB live, 20.0MiB allocated; 26ms collecting garbage

Counts

15 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	y	@	0	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
2.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
2.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
2.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))
1.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 y) (/ -1/2 x)) (/ 1/2 y) (/ -1/2 x) (/ (+ x y) (* (* x 2) y)) (/ 1/2 x) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x) (/ (/ (+ y x) x) (* 2 y)) (/ (+ y x) x) (+ y x) (* 2 y))

simplify237.0ms (6.2%)

Memory

36.1MiB live, 277.3MiB allocated; 135ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	83
1	123	83
2	273	77
3	948	77
4	4759	77
0	8303	77

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 19

Calls

Call 1

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

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

rewrite122.0ms (3.2%)

Memory

-27.7MiB live, 117.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	99
0	36	101
1	124	85
0	775	85

Stop Event

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

Counts

15 → 158

Calls

Call 1

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

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

eval11.0ms (0.3%)

Memory: 25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 881 to 349 computations (81.4% saved)

prune35.0ms (0.9%)

Memory

-36.3MiB live, 10.5MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	113	6	119

Accuracy

100.0%

Counts

119 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
✓	73.2%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶	39.5%	(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
✓	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 74 to 55 computations (25.7% saved)

simplify140.0ms (3.6%)

Memory

34.7MiB live, 124.7MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	12	31
1	21	31
2	33	31
3	61	31
4	202	31
5	938	31
6	7198	31
0	8021	31

Stop Event

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

Calls

Call 1

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

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

localize42.0ms (1.1%)

Memory

-26.8MiB live, 68.9MiB allocated; 18ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	6.849419800213587	(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (*.f64 #s(literal 2 binary64) y))
accuracy	31.753617578633058	#s(approx (/ (+ y x) x) (/.f64 y x))

Samples

33.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

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

ival-div: 5.0ms (60.8% of total)

ival-add: 1.0ms (12.2% of total)

ival-mult: 1.0ms (12.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

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

Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
1
(+ 1 (/ y x))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ (/ 1 x) (/ 1 y)))

Calls

6 calls:

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

simplify161.0ms (4.2%)

Memory

-4.8MiB live, 180.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	55
1	70	55
2	174	49
3	699	49
4	5090	49
0	8585	49

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

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

rewrite37.0ms (0.9%)

Memory

11.9MiB live, 57.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	12	28
1	42	28
0	231	28

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 23

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 441 to 90 computations (79.6% saved)

prune2.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	29	6	35

Accuracy

100.0%

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
✓	73.2%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶	39.5%	(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
✓	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 74 to 54 computations (27% saved)

simplify138.0ms (3.6%)

Memory

0.4MiB live, 192.6MiB allocated; 41ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (/ (+ y x) x) (/.f64 y x))
cost-diff	0	(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	11	30
1	16	30
2	23	30
3	34	30
4	69	30
5	242	30
6	1158	30
0	8611	30

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x
(+.f64 y y)

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

localize59.0ms (1.5%)

Memory

-18.5MiB live, 81.1MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(+.f64 y y)
accuracy	6.849419800213587	(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
accuracy	31.753617578633058	#s(approx (/ (+ y x) x) (/.f64 y x))

Samples

53.0ms

256×

valid

Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions

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

ival-div: 15.0ms (55.6% of total)

ival-add: 11.0ms (40.8% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
(+.f64 y y)

Outputs
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/ y x)
(/ (+ x y) x)
(/ 1/2 y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
1
(+ 1 (/ y x))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(* 2 y)
(* y (+ (/ 1 x) (/ 1 y)))

Calls

6 calls:

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

simplify144.0ms (3.7%)

Memory

17.2MiB live, 149.4MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	55
1	70	55
2	174	49
3	699	49
4	5090	49
0	8585	49

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

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

rewrite41.0ms (1.1%)

Memory

-4.6MiB live, 52.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	11	28
1	43	28
0	272	28

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 27

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
(+.f64 y y)

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

eval8.0ms (0.2%)

Memory: -34.7MiB live, 10.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 516 to 95 computations (81.6% saved)

prune3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	33	6	39

Accuracy

100.0%

Counts

39 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
	89.3%	(/.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) (+.f64 y y))
✓	39.5%	(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) (+.f64 y y))
✓	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 191 to 94 computations (50.8% saved)

regimes9.0ms (0.2%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

9 → 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.2%)

Memory

-30.3MiB live, 16.1MiB allocated; 4ms collecting garbage

Counts

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
86.8%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
92.3%	4	`x`
90.8%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

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
83.8%	2	`x`
82.5%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
50.2%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
50.2%	1	`y`
50.2%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch31.0ms (0.8%)

Memory

-5.3MiB live, 40.2MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.8530670672032666e+127	7.858659645978149e+128
13.0ms	6.095500767812233e-181	8.836152514522778e-162

Samples

13.0ms

272×

valid

Compiler

Compiled 386 to 318 computations (17.6% saved)

Precisions

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

ival-mult: 3.0ms (43.1% of total)

ival-div: 2.0ms (28.7% of total)

ival-add: 2.0ms (28.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.4%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.8682476963007392e-174	-3.2699476563192047e-180

Samples

7.0ms

144×

valid

Compiler

Compiled 246 to 210 computations (14.6% saved)

Precisions

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

ival-mult: 2.0ms (54.6% of total)

ival-div: 1.0ms (27.3% of total)

ival-add: 1.0ms (27.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify89.0ms (2.3%)

Memory

-14.2MiB live, 86.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	103
1	43	103
2	89	103
3	200	103
4	582	103
5	4876	103

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal 3136677924615259/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 305000000000000013308588090496432729943473340178360040981491555890640416781872818026756868965380016378310018902837412910830977024 binary64)) (/.f64 (+.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -8242690568946349/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 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
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal 3136677924615259/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 305000000000000013308588090496432729943473340178360040981491555890640416781872818026756868965380016378310018902837412910830977024 binary64)) (/.f64 (+.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -8242690568946349/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 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))

derivations166.0ms (4.3%)

Memory

-7.1MiB live, 142.3MiB allocated; 35ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 103 to 29 computations (71.8% saved)

preprocess43.0ms (1.1%)

Memory: -8.1MiB live, 83.5MiB allocated; 11ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 272 to 110 computations (59.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze30.0ms (0.8%)

sample1.1s (28.4%)

explain116.0ms (3%)

preprocess199.0ms (5.2%)

eval16.0ms (0.4%)

prune0.0ms (0%)

simplify183.0ms (4.7%)

localize101.0ms (2.6%)

series41.0ms (1.1%)

simplify183.0ms (4.7%)

rewrite48.0ms (1.2%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

simplify151.0ms (3.9%)

localize71.0ms (1.8%)

series57.0ms (1.5%)

simplify237.0ms (6.2%)

rewrite122.0ms (3.2%)

eval11.0ms (0.3%)

prune35.0ms (0.9%)

simplify140.0ms (3.6%)

localize42.0ms (1.1%)

series5.0ms (0.1%)

simplify161.0ms (4.2%)

rewrite37.0ms (0.9%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

simplify138.0ms (3.6%)

localize59.0ms (1.5%)

series4.0ms (0.1%)

simplify144.0ms (3.7%)

rewrite41.0ms (1.1%)

eval8.0ms (0.2%)

prune3.0ms (0.1%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch31.0ms (0.8%)

bsearch14.0ms (0.4%)

simplify89.0ms (2.3%)

derivations166.0ms (4.3%)

preprocess43.0ms (1.1%)

end0.0ms (0%)

Profiling