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

start0.0ms (0%)

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

analyze51.0ms (1.3%)

Memory

19.3MiB live, 63.3MiB allocated; 12ms 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)

sample1.2s (32.1%)

Memory

14.2MiB live, 1 397.1MiB allocated; 340ms collecting garbage

Samples

856.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

ival-sub: 167.0ms (38.1% of total)

ival-mult: 167.0ms (38.1% of total)

ival-div: 88.0ms (20.1% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain101.0ms (2.6%)

Memory

-4.2MiB live, 136.6MiB allocated; 26ms 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

56.0ms

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 (45.2% of total)

ival-sub: 3.0ms (22.6% of total)

ival-div: 3.0ms (22.6% 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)

preprocess223.0ms (5.9%)

Memory

-34.8MiB live, 299.4MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	59	49
2	229	37
3	883	35
4	2413	35
5	7215	35
0	7	9
0	11	9
1	22	9
2	58	7
3	155	7
4	426	7
5	3245	7
0	8277	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) y) (/.f64 #s(literal 1/2 binary64) x))

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

1.9MiB live, 1.9MiB 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)

simplify158.0ms (4.1%)

Memory

1.0MiB live, 191.0MiB allocated; 44ms 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	22	23
2	58	21
3	155	21
4	426	21
5	3245	21
0	8277	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) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
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)

localize18.0ms (0.5%)

Memory

32.1MiB live, 32.1MiB 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	17.141137527309517	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (46.5% of total)

ival-div: 2.0ms (31% of total)

ival-sub: 1.0ms (15.5% 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)

series20.0ms (0.5%)

Memory

-28.8MiB live, 15.1MiB allocated; 10ms collecting garbage

Counts

4 → 15

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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))

simplify129.0ms (3.4%)

Memory

40.3MiB live, 184.0MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	62
1	114	62
2	340	62
3	1105	56
4	4644	56
0	8125	56

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite41.0ms (1.1%)

Memory

-29.0MiB live, 62.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	38	20
0	227	20

Stop Event

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

Counts

4 → 35

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 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (-.f64 x y) 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)) (fma.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 x y) #s(literal 2 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (.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 x y) #s(literal 2 binary64)) x) y)
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) (.f64 (.f64 #s(literal 2 binary64) x) 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 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 x y)) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (-.f64 x y) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) 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 y x) (-.f64 x y))) (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 (*.f64 (+.f64 y x) (-.f64 x y)) (+.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 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.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 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: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 656 to 137 computations (79.1% saved)

prune3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Accuracy

100.0%

Counts

43 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
▶	73.2%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	47.1%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	53.9%	#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 122 to 90 computations (26.2% saved)

simplify175.0ms (4.6%)

Memory

1.3MiB live, 190.6MiB allocated; 26ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) y)
cost-diff	2	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
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) 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	23	114
0	34	114
1	61	114
2	107	104
3	207	104
4	539	104
5	4003	104
0	8228	104

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

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

localize206.0ms (5.4%)

Memory

-19.5MiB live, 278.9MiB allocated; 48ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0234375	(/.f64 (-.f64 x y) y)
accuracy	6.611348402792397	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	17.141137527309517	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	33.837015376221125	#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	29.514854676469827	#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) x) (/.f64 #s(literal -1/2 binary64) y)))
accuracy	0.01953125	(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

Samples

161.0ms

256×

valid

Compiler

Compiled 100 to 21 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 87.0ms (89.4% of total)

ival-mult: 6.0ms (6.2% of total)

ival-sub: 3.0ms (3.1% of total)

ival-add: 1.0ms (1% 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)

series38.0ms (1%)

Memory

-10.2MiB live, 36.9MiB allocated; 2ms collecting garbage

Counts

14 → 22

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))

simplify121.0ms (3.2%)

Memory

39.3MiB live, 215.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	97
1	127	97
2	371	97
3	1210	91
4	5633	91
0	8207	91

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite21.0ms (0.6%)

Memory

-7.5MiB live, 39.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	96
0	34	96
0	112	96

Stop Event

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

Counts

14 → 46

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

eval5.0ms (0.1%)

Memory: 15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 735 to 148 computations (79.9% saved)

prune3.0ms (0.1%)

Memory

7.9MiB live, 7.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	50	5	55

Accuracy

100.0%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	89.7%	(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))
✓	47.1%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	53.9%	#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 67 to 49 computations (26.9% saved)

simplify115.0ms (3%)

Memory

-28.2MiB live, 163.3MiB allocated; 34ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	15	41
1	24	41
2	35	41
3	76	41
4	359	41
5	2595	41
0	8698	41

Stop Event

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

Calls

Call 1

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

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

localize60.0ms (1.6%)

Memory

8.4MiB live, 63.6MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0	#s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	6.611348402792397	(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))

Samples

17.0ms

256×

valid

Compiler

Compiled 31 to 12 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (51.6% of total)

ival-sub: 3.0ms (31% of total)

ival-mult: 1.0ms (10.3% 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)

series5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

5 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

simplify135.0ms (3.6%)

Memory

-24.5MiB live, 161.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	68
1	75	68
2	192	68
3	655	62
4	3864	62
0	8365	62

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite59.0ms (1.5%)

Memory

19.8MiB live, 63.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	15	37
1	58	37
0	372	37

Stop Event

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

Counts

5 → 46

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 018 to 205 computations (79.9% saved)

prune3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	53	6	59

Accuracy

100.0%

Counts

59 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	77.0%	(/.f64 #s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) x))
▶	89.7%	(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x x))
✓	47.1%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	53.9%	#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 90 to 63 computations (30% saved)

simplify115.0ms (3%)

Memory

10.2MiB live, 98.4MiB allocated; 17ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) x))
cost-diff	8	(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	123
0	29	99
1	43	99
2	73	99
3	168	99
4	769	99
5	6094	99
0	8117	99

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (2.4%)

Memory

-22.6MiB live, 122.2MiB allocated; 18ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
accuracy	0.21484375	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy	6.611348402792397	(/.f64 #s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) x))
accuracy	13.837371493459774	(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
accuracy	0.0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	#s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	6.611348402792397	(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x x))

Samples

47.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 8.0ms (37% of total)

ival-sub: 5.0ms (23.1% of total)

ival-add: 3.0ms (13.9% of total)

ival-pow2: 3.0ms (13.9% of total)

ival-mult: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.5%)

Memory

-6.2MiB live, 37.7MiB allocated; 9ms collecting garbage

Counts

10 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (- (/ x y) 1) (/ x y) (/ (- (pow (/ x y) 2) 1) (- (/ x y) -1)) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- (pow (/ x y) 2) 1) (+ x x) (pow (/ x y) 2))
4.0ms	y	@	-inf	((/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (- (/ x y) 1) (/ x y) (/ (- (pow (/ x y) 2) 1) (- (/ x y) -1)) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- (pow (/ x y) 2) 1) (+ x x) (pow (/ x y) 2))
2.0ms	x	@	inf	((/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (- (/ x y) 1) (/ x y) (/ (- (pow (/ x y) 2) 1) (- (/ x y) -1)) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- (pow (/ x y) 2) 1) (+ x x) (pow (/ x y) 2))
2.0ms	x	@	-inf	((/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (- (/ x y) 1) (/ x y) (/ (- (pow (/ x y) 2) 1) (- (/ x y) -1)) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- (pow (/ x y) 2) 1) (+ x x) (pow (/ x y) 2))
2.0ms	x	@	0	((/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (- (/ x y) 1) (/ x y) (/ (- (pow (/ x y) 2) 1) (- (/ x y) -1)) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- (pow (/ x y) 2) 1) (+ x x) (pow (/ x y) 2))

simplify182.0ms (4.8%)

Memory

-22.5MiB live, 245.9MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	109
1	94	109
2	256	109
3	1019	103
4	7521	103
0	8160	101

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite29.0ms (0.7%)

Memory

1.0MiB live, 51.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	104
0	29	104
0	113	104

Stop Event

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

Counts

10 → 28

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) #s(literal 2 binary64)) x)
(/.f64 (neg.f64 #s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.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 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 x y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))

eval5.0ms (0.1%)

Memory: 14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 031 to 180 computations (82.5% saved)

prune6.0ms (0.2%)

Memory

-33.6MiB live, 11.9MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	45	6	51

Accuracy

100.0%

Counts

51 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	89.7%	(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x x))
	78.3%	(/.f64 #s(approx (/ (- x y) y) (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) y))) (+.f64 x x))
✓	47.1%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	53.9%	#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 230 to 109 computations (52.6% saved)

regimes11.0ms (0.3%)

Memory

28.4MiB live, 28.4MiB 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 (-.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 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x x))
(/.f64 #s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(approx (/ (- x y) y) (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) y))) (+.f64 x x))
(/.f64 #s(approx (/ (- x y) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (*.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:

4.0ms	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)

regimes6.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

4 → 5

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) x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#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:

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

Results

Accuracy	Segments	Branch
86.3%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
85.7%	5	`x`
86.4%	5	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.2%)

Memory

-33.4MiB live, 12.6MiB allocated; 5ms collecting garbage

Counts

2 → 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))

Outputs

#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))

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

Calls

3 calls:

4.0ms	y
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x

Results

Accuracy	Segments	Branch
74.9%	3	`x`
57.0%	2	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
76.5%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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	y
1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
53.9%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
53.9%	1	`x`
53.9%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch83.0ms (2.2%)

Memory

-9.2MiB live, 134.1MiB allocated; 22ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	6.025234308096771e+117	4.8000119065228744e+135
16.0ms	6.095500767812233e-181	4.781833744968847e-165
16.0ms	-4.3734047116874843e-221	-7.353905706974495e-225
10.0ms	-1.0691429848229524e+128	-7.412651161889819e+124

Samples

27.0ms

576×

valid

Compiler

Compiled 804 to 660 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (47.3% of total)

ival-div: 4.0ms (27% of total)

ival-sub: 3.0ms (20.3% 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)

bsearch21.0ms (0.5%)

Memory

34.9MiB live, 34.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.246689518093647e+52	1.8394263366011102e+53
10.0ms	-1.803198416446238e-98	-6.0798437980907414e-102

Samples

10.0ms

224×

valid

Compiler

Compiled 376 to 320 computations (14.9% saved)

Precisions

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

ival-mult: 3.0ms (54% of total)

ival-sub: 1.0ms (18% of total)

ival-div: 1.0ms (18% 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)

simplify73.0ms (1.9%)

Memory

-15.0MiB live, 82.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	56	138
2	102	138
3	202	138
4	517	138
5	4531	138

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 -63999999999999995191536743615544450722858935669429661532110462222418828798450753702602463600820329840097923738473954066101698560 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -1093767626242957/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 3630826122770869/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4399999999999999896606886656158450140574614779693151524602422963933029598611368952491434075145245931363423906157786898699348849406771200 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 -6501331022405089/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 63999999999999999566140715159144190493549340284420096 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 -63999999999999995191536743615544450722858935669429661532110462222418828798450753702602463600820329840097923738473954066101698560 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -1093767626242957/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 3630826122770869/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 4399999999999999896606886656158450140574614779693151524602422963933029598611368952491434075145245931363423906157786898699348849406771200 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 -6501331022405089/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 63999999999999999566140715159144190493549340284420096 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))))
(if (or (<=.f64 y #s(literal -6501331022405089/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) (not (<=.f64 y #s(literal 63999999999999999566140715159144190493549340284420096 binary64)))) #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)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

derivations193.0ms (5.1%)

Memory

-12.2MiB live, 117.8MiB allocated; 27ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 138 to 39 computations (71.7% saved)

preprocess49.0ms (1.3%)

Memory: -7.8MiB live, 51.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 308 to 104 computations (66.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze51.0ms (1.3%)

sample1.2s (32.1%)

explain101.0ms (2.6%)

preprocess223.0ms (5.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify158.0ms (4.1%)

localize18.0ms (0.5%)

series20.0ms (0.5%)

simplify129.0ms (3.4%)

rewrite41.0ms (1.1%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

simplify175.0ms (4.6%)

localize206.0ms (5.4%)

series38.0ms (1%)

simplify121.0ms (3.2%)

rewrite21.0ms (0.6%)

eval5.0ms (0.1%)

prune3.0ms (0.1%)

simplify115.0ms (3%)

localize60.0ms (1.6%)

series5.0ms (0.1%)

simplify135.0ms (3.6%)

rewrite59.0ms (1.5%)

eval5.0ms (0.1%)

prune3.0ms (0.1%)

simplify115.0ms (3%)

localize91.0ms (2.4%)

series17.0ms (0.5%)

simplify182.0ms (4.8%)

rewrite29.0ms (0.7%)

eval5.0ms (0.1%)

prune6.0ms (0.2%)

regimes11.0ms (0.3%)

regimes6.0ms (0.1%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch83.0ms (2.2%)

bsearch21.0ms (0.5%)

simplify73.0ms (1.9%)

derivations193.0ms (5.1%)

preprocess49.0ms (1.3%)

end0.0ms (0%)

Profiling