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

analyze38.0ms (2.7%)

Memory

-33.9MiB live, 14.4MiB allocated; 1ms 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)

sample864.0ms (62.9%)

Memory

15.9MiB live, 897.3MiB allocated; 224ms collecting garbage

Samples

453.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-mult!: 119.0ms (54.5% of total)

ival-add!: 58.0ms (26.6% of total)

ival-div!: 40.0ms (18.3% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

explain65.0ms (4.7%)

Memory

-8.0MiB live, 136.5MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
78	-	4	(1.8081253128265034e-251 1.9009719049195e-69)	`(/.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	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	37
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	37

Confusion

	Predicted +	Predicted -
+	74	4
-	0	178

Precision

1.0

Recall

0.9487179487179487

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	4
-	0	0	178

Precision?

1.0

Recall?

0.9487179487179487

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult!: 5.0ms (58.3% of total)

ival-div!: 2.0ms (23.3% of total)

ival-add!: 1.0ms (11.7% of total)

adjust: 0.0ms (0% of total)

preprocess31.0ms (2.3%)

Memory

7.1MiB live, 53.9MiB allocated; 3ms 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
▶	72.1%	(/.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)

series15.0ms (1.1%)

Memory

-22.2MiB live, 23.9MiB allocated; 3ms 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
6.0ms	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	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)

rewrite79.0ms (5.8%)

Memory

27.8MiB live, 73.7MiB allocated; 3ms 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 (+.f64 y x) (.f64 y x)) #s(literal 1/2 binary64)))
#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))))

eval38.0ms (2.8%)

Memory: -29.9MiB live, 21.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 068 to 214 computations (80% saved)

prune3.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Accuracy

100.0%

Counts

67 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.3%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
▶	72.1%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
▶	44.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	56.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series8.0ms (0.6%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

13 → 33

Calls

Call 1

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

Calls

6 calls:

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

rewrite40.0ms (2.9%)

Memory

-24.5MiB live, 66.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	484
0	100	468
0	349	462

Stop Event

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

Counts

46 → 83

Calls

Call 1

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

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

eval7.0ms (0.5%)

Memory: 19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 130 to 231 computations (79.6% saved)

prune3.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	79	5	84

Accuracy

100.0%

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.3%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
✓	72.1%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
▶	100.0%	#s(approx (/ (+ y x) (* (+ x x) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
✓	44.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	56.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 61 to 43 computations (29.5% saved)

series8.0ms (0.6%)

Memory

-28.4MiB live, 15.1MiB allocated; 4ms collecting garbage

Counts

7 → 14

Calls

Call 1

Inputs
#s(approx (/ (+ y x) (* (+ x x) 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

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

Calls

6 calls:

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

rewrite61.0ms (4.4%)

Memory

-12.7MiB live, 91.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	213
0	45	205
1	181	205
0	1187	201

Stop Event

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

Counts

21 → 73

Calls

Call 1

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

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

eval6.0ms (0.5%)

Memory: 19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 495 to 248 computations (83.4% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	66	5	71

Accuracy

100.0%

Counts

71 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.3%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
✓	72.1%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
✓	100.0%	#s(approx (/ (+ y x) (* (+ x x) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
✓	44.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	56.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 131 to 72 computations (45% saved)

regimes10.0ms (0.7%)

Memory

-25.8MiB live, 20.1MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	x
2.0ms	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 (0.4%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 y x) (*.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))`
88.5%	3	`x`
88.5%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.2%)

Memory

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

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
84.2%	2	`y`
83.3%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB 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
56.8%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch18.0ms (1.3%)

Memory

-12.1MiB live, 35.2MiB allocated; 1ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-9.522551211279166e-176	-5.47655783062514e-177
8.0ms	-3.1047751779530218e+150	-6.454169456941086e+149

Samples

8.0ms

208×

valid

Compiler

Compiled 298 to 246 computations (17.4% saved)

Precisions

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

ival-mult!: 2.0ms (56.7% of total)

ival-add!: 1.0ms (28.3% of total)

ival-div!: 1.0ms (28.3% of total)

adjust: 0.0ms (0% of total)

bsearch9.0ms (0.7%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.7682790020237192e-102	3.920379012388365e-100

Samples

4.0ms

112×

valid

Compiler

Compiled 194 to 166 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (54.9% of total)

adjust: 0.0ms (0% of total)

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

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

derivations25.0ms (1.9%)

Memory

-22.5MiB live, 32.2MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 103 to 31 computations (69.9% saved)

preprocess32.0ms (2.3%)

Memory: -16.7MiB live, 76.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 430 to 192 computations (55.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (2.7%)

sample864.0ms (62.9%)

explain65.0ms (4.7%)

preprocess31.0ms (2.3%)

series15.0ms (1.1%)

rewrite79.0ms (5.8%)

eval38.0ms (2.8%)

prune3.0ms (0.2%)

series8.0ms (0.6%)

rewrite40.0ms (2.9%)

eval7.0ms (0.5%)

prune3.0ms (0.2%)

series8.0ms (0.6%)

rewrite61.0ms (4.4%)

eval6.0ms (0.5%)

prune4.0ms (0.3%)

regimes10.0ms (0.7%)

regimes6.0ms (0.4%)

regimes3.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch18.0ms (1.3%)

bsearch9.0ms (0.7%)

derivations25.0ms (1.9%)

preprocess32.0ms (2.3%)

end0.0ms (0%)

Profiling