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

start0.0ms (0%)

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

analyze69.0ms (1.7%)

Memory

-17.6MiB live, 24.0MiB allocated; 14ms 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)

sample1.3s (31.2%)

Memory

8.7MiB live, 1 441.0MiB allocated; 370ms collecting garbage

Samples

923.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 598.0ms

ival-mult: 278.0ms (46.5% of total)

ival-div: 170.0ms (28.4% of total)

ival-add: 132.0ms (22.1% of total)

ival-true: 7.0ms (1.2% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain125.0ms (3%)

Memory

-10.6MiB live, 187.7MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
71	-	4	(-2.5727323236288795e-246 -1.000820277287922e-67)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	39	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	39
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	28	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	67	4
-	0	185

Precision

1.0

Recall

0.9436619718309859

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	4
-	0	0	185

Precision?

1.0

Recall?

0.9436619718309859

Freqs

test

number	freq
0	189
1	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 7.0ms (49.6% of total)

ival-div: 3.0ms (21.3% of total)

ival-add: 3.0ms (21.3% 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)

preprocess248.0ms (6%)

Memory

43.4MiB live, 368.3MiB allocated; 34ms 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)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms 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
▶	74.6%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify205.0ms (4.9%)

Memory

-41.7MiB live, 347.2MiB allocated; 71ms 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)

localize19.0ms (0.5%)

Memory

42.6MiB live, 42.5MiB allocated; 0ms 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	16.25815338188026	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (42.5% of total)

ival-div: 2.0ms (28.3% of total)

ival-add: 1.0ms (14.2% 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)

series11.0ms (0.3%)

Memory

-22.2MiB live, 24.4MiB allocated; 4ms 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
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2))
2.0ms	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))
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))

simplify224.0ms (5.4%)

Memory

14.9MiB live, 200.3MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	146
1	134	146
2	307	130
3	978	130
4	4829	130
0	8068	130

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite65.0ms (1.6%)

Memory

5.8MiB live, 63.1MiB allocated; 5ms 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)

eval34.0ms (0.8%)

Memory: -32.2MiB live, 14.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 731 to 150 computations (79.5% saved)

prune4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	6	48

Accuracy

100.0%

Counts

48 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.3%	(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
▶	74.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
▶	37.8%	(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	52.5%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	48.7%	#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) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 144 to 108 computations (25% saved)

simplify199.0ms (4.8%)

Memory

25.4MiB live, 260.4MiB allocated; 51ms collecting garbage

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	119
0	35	117
1	56	117
2	102	111
3	228	111
4	582	111
5	3821	111
0	8426	111

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

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

localize62.0ms (1.5%)

Memory

-6.6MiB live, 95.3MiB allocated; 7ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	16.25815338188026	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	16.25815338188026	(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
accuracy	32.76450360195971	#s(approx (+ x y) y)
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	30.37251796809458	#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	32.828167807700915	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) y)
accuracy	0.0	#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

Samples

33.0ms

256×

valid

Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 10.0ms (49.6% of total)

ival-mult: 5.0ms (24.8% of total)

ival-add: 3.0ms (14.9% of total)

ival-sub: 1.0ms (5% 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)

series12.0ms (0.3%)

Memory

-16.2MiB live, 29.7MiB allocated; 4ms collecting garbage

Counts

15 → 29

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) (/ -1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x))
2.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) (/ -1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x))
2.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) (/ -1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x))
2.0ms	y	@	0	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) (/ -1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x))
1.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) (/ -1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (+ x y) (* (* x 2) y) (* x 2) (/ (+ x y) (* (+ x x) y)) (+ x y) (* (+ x x) y) (+ x x))

simplify202.0ms (4.9%)

Memory

2.8MiB live, 226.1MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	351
1	160	351
2	334	303
3	997	303
4	4830	303
0	8080	303

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (- (/ 1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite52.0ms (1.3%)

Memory

20.2MiB live, 64.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	103
0	35	103
1	105	85
0	622	85

Stop Event

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

Counts

15 → 96

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 619 to 290 computations (82.1% saved)

prune18.0ms (0.4%)

Memory

-43.8MiB live, 10.8MiB allocated; 20ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	97	6	103

Accuracy

100.0%

Counts

103 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.3%	(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))
✓	74.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
✓	37.8%	(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.5%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	48.7%	#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) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 72 to 54 computations (25% saved)

simplify111.0ms (2.7%)

Memory

53.0MiB live, 142.3MiB allocated; 16ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	23	23
2	57	23
3	146	23
4	454	21
5	3222	21
0	8482	21

Stop Event

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

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

-3.1MiB live, 39.9MiB allocated; 10ms 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) x)
accuracy	0.01953125	(/.f64 (+.f64 y x) y)
accuracy	6.212175714316233	(/.f64 (/.f64 (+.f64 y x) y) (*.f64 #s(literal 2 binary64) x))

Samples

19.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-div: 4.0ms (55.9% of total)

ival-mult: 2.0ms (27.9% of total)

ival-add: 1.0ms (14% 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)

series100.0ms (2.4%)

Memory

-20.5MiB live, 43.5MiB allocated; 112ms collecting garbage

Counts

4 → 18

Calls

Call 1

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

Outputs
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ (+ y x) y) #s(hole binary64 1))
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
97.0ms	y	@	-inf	((/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (+ y x) (* 2 x))
1.0ms	x	@	0	((/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (+ y x) (* 2 x))
1.0ms	x	@	inf	((/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (+ y x) (* 2 x))
1.0ms	x	@	-inf	((/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (+ y x) (* 2 x))
0.0ms	y	@	0	((/ (/ (+ y x) y) (* 2 x)) (/ (+ y x) y) (+ y x) (* 2 x))

simplify218.0ms (5.3%)

Memory

-30.2MiB live, 211.6MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	184
1	141	184
2	313	168
3	1107	168
4	4950	168
0	8118	168

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ (+ y x) y) #s(hole binary64 1))
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (/ (+ y x) y) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite47.0ms (1.1%)

Memory

16.5MiB live, 63.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	42	20
0	263	20

Stop Event

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

Counts

4 → 46

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 794 to 180 computations (77.3% saved)

prune6.0ms (0.2%)

Memory

-29.5MiB live, 14.4MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	55	7	62

Accuracy

100.0%

Counts

62 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.3%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
▶	90.3%	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
✓	74.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
✓	37.8%	(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.5%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	48.7%	#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) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 81 to 61 computations (24.7% saved)

simplify169.0ms (4.1%)

Memory

16.4MiB live, 202.7MiB allocated; 19ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	37	46
2	80	46
3	182	46
4	740	42
5	7002	42
0	8107	42

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.8%)

Memory

-14.2MiB live, 135.1MiB allocated; 12ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(+.f64 x x)
accuracy	0.01953125	(/.f64 (+.f64 y x) y)
accuracy	6.212175714316233	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	6.212175714316233	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))

Samples

42.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 25.0ms (80.2% of total)

ival-add: 3.0ms (9.6% of total)

ival-mult: 2.0ms (6.4% 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)

series8.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

8 → 30

Calls

Call 1

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

Outputs
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ (/ x y) 1) #s(hole binary64 1))
#s(approx (+ (/ x y) 1) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ (+ y x) y) #s(hole binary64 1))
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) 1) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ (/ x y) 1) #s(hole binary64 (/ (+ x y) y)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

simplify160.0ms (3.9%)

Memory

20.4MiB live, 213.1MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	330
1	161	330
2	335	298
3	1127	298
4	4967	298
0	8165	298

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

Inputs
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ (/ x y) 1) #s(hole binary64 1))
#s(approx (+ (/ x y) 1) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (/ (+ y x) y) #s(hole binary64 1))
#s(approx (/ (+ y x) y) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ (/ x y) 1) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) 1) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ (/ x y) 1) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (+ (/ x y) 1) #s(hole binary64 (/ (+ x y) y)))
#s(approx (/ (/ (+ y x) y) (+ x x)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx (/ (+ y x) y) #s(hole binary64 (/ (+ x y) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite21.0ms (0.5%)

Memory

-11.7MiB live, 33.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	20	40
0	81	40

Stop Event

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

Counts

8 → 30

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 455 to 120 computations (73.6% saved)

prune10.0ms (0.2%)

Memory

-41.8MiB live, 15.9MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	37	6	43

Accuracy

100.0%

Counts

43 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.3%	(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x x))
✓	74.6%	(/.f64 (+.f64 x y) (*.f64 (+.f64 x x) y))
✓	37.8%	(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.5%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	48.7%	#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) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 180 to 90 computations (50% saved)

regimes11.0ms (0.3%)

Memory

29.3MiB live, 29.3MiB allocated; 0ms collecting garbage

Counts

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

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

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)

regimes22.0ms (0.5%)

Memory

-29.0MiB live, 17.3MiB allocated; 4ms collecting garbage

Counts

5 → 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 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 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:

17.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y

Results

Accuracy	Segments	Branch
87.2%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
89.9%	4	`x`
90.8%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

3 → 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 #s(approx (+ x y) y) (*.f64 (*.f64 x #s(literal 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:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
84.0%	2	`x`
84.1%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.7%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
48.7%	1	`x`
48.7%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch41.0ms (1%)

Memory

-18.9MiB live, 74.5MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.270139967826461e+117	1.0541619905609945e+121
13.0ms	5.134386342191365e-193	3.4640816761043943e-190

Samples

13.0ms

256×

valid

Compiler

Compiled 364 to 300 computations (17.6% saved)

Precisions

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

ival-mult: 3.0ms (43.8% of total)

ival-div: 2.0ms (29.2% of total)

ival-add: 2.0ms (29.2% 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)

bsearch13.0ms (0.3%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2052928587734166e-70	1.2584092721669018e-67

Samples

6.0ms

128×

valid

Compiler

Compiled 220 to 188 computations (14.5% saved)

Precisions

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

ival-mult: 2.0ms (59% of total)

ival-div: 1.0ms (29.5% of total)

ival-add: 1.0ms (29.5% 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)

simplify47.0ms (1.1%)

Memory

-15.3MiB live, 36.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	103
1	43	103
2	89	103
3	201	103
4	587	103
5	4643	103

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal 6822380853753841/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 1699999999999999994674628890446035903972230019201001240877764494715827151586489325626677990487047248458351241684402044928 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 y #s(literal 4506991829963691/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 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) x) (/.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal 6822380853753841/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 1699999999999999994674628890446035903972230019201001240877764494715827151586489325626677990487047248458351241684402044928 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 y #s(literal 4506991829963691/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 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))

derivations165.0ms (4%)

Memory

1.1MiB live, 132.0MiB allocated; 28ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 103 to 29 computations (71.8% saved)

preprocess25.0ms (0.6%)

Memory: 36.5MiB live, 36.5MiB allocated; 0ms 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%)

analyze69.0ms (1.7%)

sample1.3s (31.2%)

explain125.0ms (3%)

preprocess248.0ms (6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify205.0ms (4.9%)

localize19.0ms (0.5%)

series11.0ms (0.3%)

simplify224.0ms (5.4%)

rewrite65.0ms (1.6%)

eval34.0ms (0.8%)

prune4.0ms (0.1%)

simplify199.0ms (4.8%)

localize62.0ms (1.5%)

series12.0ms (0.3%)

simplify202.0ms (4.9%)

rewrite52.0ms (1.3%)

eval10.0ms (0.2%)

prune18.0ms (0.4%)

simplify111.0ms (2.7%)

localize24.0ms (0.6%)

series100.0ms (2.4%)

simplify218.0ms (5.3%)

rewrite47.0ms (1.1%)

eval6.0ms (0.1%)

prune6.0ms (0.2%)

simplify169.0ms (4.1%)

localize76.0ms (1.8%)

series8.0ms (0.2%)

simplify160.0ms (3.9%)

rewrite21.0ms (0.5%)

eval4.0ms (0.1%)

prune10.0ms (0.2%)

regimes11.0ms (0.3%)

regimes22.0ms (0.5%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch41.0ms (1%)

bsearch13.0ms (0.3%)

simplify47.0ms (1.1%)

derivations165.0ms (4%)

preprocess25.0ms (0.6%)

end0.0ms (0%)

Profiling