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

start0.0ms (0%)

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

analyze43.0ms (3.9%)

Memory

-30.3MiB live, 29.9MiB allocated; 29ms 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)

sample634.0ms (56.8%)

Memory

18.5MiB live, 663.0MiB allocated; 136ms collecting garbage

Samples

352.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult!: 71.0ms (49.6% of total)

ival-div!: 38.0ms (26.5% of total)

ival-add!: 33.0ms (23% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

explain82.0ms (7.4%)

Memory

1.2MiB live, 106.0MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	4	(7.20446758023976e-109 1.8131000109534037e-215)	`(/.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	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	27	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	27

Confusion

	Predicted +	Predicted -
+	60	4
-	0	192

Precision

1.0

Recall

0.9375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	4
-	0	0	192

Precision?

1.0

Recall?

0.9375

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div!: 27.0ms (79.9% of total)

ival-mult!: 5.0ms (14.8% of total)

ival-add!: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

preprocess38.0ms (3.4%)

Memory

-15.7MiB live, 29.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	72	58
2	264	42
3	1013	42
4	3127	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Symmetry

(sort x y)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series10.0ms (0.9%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms 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
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite87.0ms (7.8%)

Memory

-2.3MiB live, 141.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	201
0	65	193
1	255	193
0	1893	189

Stop Event

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

Counts

23 → 69

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

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

eval6.0ms (0.5%)

Memory: 15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 057 to 216 computations (79.6% saved)

prune3.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	4	66

Accuracy

100.0%

Counts

66 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	47.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	54.0%	#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 61 to 45 computations (26.2% saved)

series14.0ms (1.2%)

Memory

-19.5MiB live, 25.9MiB allocated; 4ms collecting garbage

Counts

15 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite72.0ms (6.5%)

Memory

12.6MiB live, 59.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	462
0	82	436
1	291	436
0	1922	433

Stop Event

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

Counts

42 → 171

Calls

Call 1

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

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

eval28.0ms (2.5%)

Memory: -20.5MiB live, 24.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 102 to 591 computations (85.6% saved)

prune5.0ms (0.4%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	164	4	168

Accuracy

100.0%

Counts

168 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
✓	47.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	54.0%	#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 131 to 70 computations (46.6% saved)

regimes6.0ms (0.6%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

5 → 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))
#s(approx (/ (+ x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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:

2.0ms	y
2.0ms	x
2.0ms	(/.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)

regimes4.0ms (0.4%)

Memory

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

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.1%	4	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
86.7%	2	`x`
85.6%	2	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
54.0%	1	`y`
54.0%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch31.0ms (2.8%)

Memory

-29.6MiB live, 19.4MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1.023698154926904e-153	-7.3620139096412e-162

Samples

25.0ms

144×

valid

Compiler

Compiled 246 to 210 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div!: 16.0ms (88% of total)

ival-mult!: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations19.0ms (1.7%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 60 to 19 computations (68.3% saved)

preprocess30.0ms (2.7%)

Memory: -26.7MiB live, 56.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 258 to 128 computations (50.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze43.0ms (3.9%)

sample634.0ms (56.8%)

explain82.0ms (7.4%)

preprocess38.0ms (3.4%)

series10.0ms (0.9%)

rewrite87.0ms (7.8%)

eval6.0ms (0.5%)

prune3.0ms (0.2%)

series14.0ms (1.2%)

rewrite72.0ms (6.5%)

eval28.0ms (2.5%)

prune5.0ms (0.4%)

regimes6.0ms (0.6%)

regimes4.0ms (0.4%)

regimes3.0ms (0.3%)

bsearch31.0ms (2.8%)

derivations19.0ms (1.7%)

preprocess30.0ms (2.7%)

end0.0ms (0%)

Profiling