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

analyze21.0ms (0.8%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms 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 (48.1%)

Memory

-13.5MiB live, 1 244.5MiB allocated; 305ms collecting garbage

Samples

811.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

ival-mult: 223.0ms (58.6% of total)

ival-sub: 88.0ms (23.1% of total)

ival-div: 51.0ms (13.4% of total)

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

exact: 6.0ms (1.6% of total)

ival-assert: 4.0ms (1.1% of total)

adjust: 3.0ms (0.8% of total)

Bogosity

explain139.0ms (5.2%)

Memory

-5.1MiB live, 228.3MiB allocated; 47ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
51	-	5	(5.527396068404692e-265 -2.3271806891837102e-51)	`(/.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	24	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	24
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	22	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	22

Confusion

	Predicted +	Predicted -
+	46	5
-	0	205

Precision

1.0

Recall

0.9019607843137255

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	5
-	0	0	205

Precision?

1.0

Recall?

0.9019607843137255

Freqs

test

number	freq
0	210
1	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 13.0ms (46.8% of total)

ival-sub: 7.0ms (25.2% of total)

ival-mult: 7.0ms (25.2% 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)

preprocess201.0ms (7.5%)

Memory

34.7MiB live, 257.9MiB allocated; 80ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series18.0ms (0.7%)

Memory

-15.1MiB live, 28.6MiB allocated; 8ms collecting garbage

Counts

7 → 16

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms	y	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)

simplify162.0ms (6%)

Memory

5.4MiB live, 144.4MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	63
1	114	63
2	340	63
3	1105	57
4	4644	57
0	8125	57

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 14

Calls

Call 1

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

rewrite37.0ms (1.4%)

Memory

-0.3MiB live, 45.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	38	23
0	227	23

Stop Event

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

Counts

7 → 38

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 (-.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)
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)
#s(literal 2 binary64)

eval5.0ms (0.2%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 701 to 137 computations (80.5% saved)

prune3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Accuracy

100.0%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
▶	82.0%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	45.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	55.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
▶	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 122 to 90 computations (26.2% saved)

series27.0ms (1%)

Memory

-19.6MiB live, 31.1MiB allocated; 17ms collecting garbage

Counts

19 → 23

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))
#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)
(/.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)
#s(literal 2 binary64)

Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
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 (+ 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)
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
11.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) -1/2 x (/ -1/2 y) y (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) 1/2 (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x) 2)
9.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) -1/2 x (/ -1/2 y) y (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) 1/2 (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x) 2)
2.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) -1/2 x (/ -1/2 y) y (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) 1/2 (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x) 2)
2.0ms	y	@	0	((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) -1/2 x (/ -1/2 y) y (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) 1/2 (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x) 2)
2.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) -1/2 x (/ -1/2 y) y (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) 1/2 (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x) 2)

simplify113.0ms (4.2%)

Memory

-7.4MiB live, 126.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	98
1	127	98
2	371	98
3	1210	92
4	5633	92
0	8207	92

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 21

Calls

Call 1

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

rewrite30.0ms (1.1%)

Memory

8.3MiB live, 61.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	34	101
0	112	101

Stop Event

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

Counts

19 → 51

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

eval6.0ms (0.2%)

Memory: 20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 945 to 148 computations (84.3% saved)

prune4.0ms (0.2%)

Memory

-35.1MiB live, 11.7MiB allocated; 2ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	67	6	73

Accuracy

100.0%

Counts

73 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.0%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
✓	82.0%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	45.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
✓	45.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	55.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 73 to 53 computations (27.4% saved)

series5.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

7 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify195.0ms (7.3%)

Memory

32.5MiB live, 268.4MiB allocated; 85ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	63
1	114	63
2	339	63
3	1107	57
4	4649	57
0	8118	57

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 14

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
x
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) 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)
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 (* -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
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite40.0ms (1.5%)

Memory

-36.4MiB live, 63.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	12	30
1	39	30
0	231	30

Stop Event

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

Counts

7 → 31

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 554 to 103 computations (81.4% saved)

prune4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	39	6	45

Accuracy

100.0%

Counts

45 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.0%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
✓	82.0%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	45.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
✓	45.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	55.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 155 to 83 computations (46.5% saved)

regimes9.0ms (0.3%)

Memory

-26.0MiB live, 20.5MiB allocated; 3ms collecting garbage

Counts

7 → 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) (neg.f64 y)) (*.f64 (+.f64 x x) 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) 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	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
3.0ms	y
3.0ms	x

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)

regimes7.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

5 → 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 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) 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	x
2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
91.3%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
88.6%	4	`x`
91.5%	5	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Results

Accuracy	Segments	Branch
77.2%	3	`x`
58.4%	3	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
78.6%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB 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	x
1.0ms	y

Results

Accuracy	Segments	Branch
55.2%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
55.2%	1	`x`
55.2%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch47.0ms (1.7%)

Memory

2.3MiB live, 94.0MiB allocated; 7ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	9.104856956512964e+67	1.3791637381414997e+72
11.0ms	7.755536455278939e-174	1.1923407085667739e-172
14.0ms	-5.837150683328695e-178	-3.705372696032064e-188
7.0ms	-5.359765678574725e+170	-3.3679903882402615e+170

Samples

23.0ms

448×

valid

Compiler

Compiled 628 to 516 computations (17.8% saved)

Precisions

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

ival-mult: 6.0ms (44.9% of total)

ival-sub: 4.0ms (29.9% of total)

ival-div: 3.0ms (22.5% 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)

bsearch27.0ms (1%)

Memory

-2.3MiB live, 45.1MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	9.104856956512964e+67	1.3791637381414997e+72
16.0ms	-0.0029621706533917366	-0.0006661156603006695

Samples

17.0ms

192×

valid

Compiler

Compiled 376 to 320 computations (14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (57.4% of total)

ival-sub: 1.0ms (19.1% of total)

ival-div: 1.0ms (19.1% 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)

simplify59.0ms (2.2%)

Memory

2.8MiB live, 94.0MiB allocated; 12ms 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 -340000000000000014384040051154753375035031818652389566896231566213700008617659210427586509784841808243265268522881923449270999489407876197538193624690335082640625666883584 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -2646215558220873/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 3654909247210163/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 1350000000000000032020130857831246510904883285559509744343801456001810432 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 -7148113328562451/4611686018427387904 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 11499999999999999684739862738169560182061035348203114774405075150307328 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 -340000000000000014384040051154753375035031818652389566896231566213700008617659210427586509784841808243265268522881923449270999489407876197538193624690335082640625666883584 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -2646215558220873/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 3654909247210163/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 1350000000000000032020130857831246510904883285559509744343801456001810432 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 -7148113328562451/4611686018427387904 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 11499999999999999684739862738169560182061035348203114774405075150307328 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 -7148113328562451/4611686018427387904 binary64)) (not (<=.f64 y #s(literal 11499999999999999684739862738169560182061035348203114774405075150307328 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))

derivations190.0ms (7.1%)

Memory

-17.7MiB live, 122.1MiB allocated; 47ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 138 to 39 computations (71.7% saved)

preprocess29.0ms (1.1%)

Memory: 8.9MiB live, 54.5MiB allocated; 7ms 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%)

analyze21.0ms (0.8%)

sample1.3s (48.1%)

explain139.0ms (5.2%)

preprocess201.0ms (7.5%)

eval0.0ms (0%)

prune1.0ms (0%)

series18.0ms (0.7%)

simplify162.0ms (6%)

rewrite37.0ms (1.4%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

series27.0ms (1%)

simplify113.0ms (4.2%)

rewrite30.0ms (1.1%)

eval6.0ms (0.2%)

prune4.0ms (0.2%)

series5.0ms (0.2%)

simplify195.0ms (7.3%)

rewrite40.0ms (1.5%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes9.0ms (0.3%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch47.0ms (1.7%)

bsearch27.0ms (1%)

simplify59.0ms (2.2%)

derivations190.0ms (7.1%)

preprocess29.0ms (1.1%)

end0.0ms (0%)

Profiling