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

analyze314.0ms (13.2%)

Memory

126.9MiB live, 172.3MiB allocated; 151ms 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)

sample1.1s (44.3%)

Memory

-0.4MiB live, 988.3MiB allocated; 411ms collecting garbage

Samples

737.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 535.0ms

ival-mult: 276.0ms (51.6% of total)

ival-div: 201.0ms (37.6% of total)

ival-add: 48.0ms (9% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain83.0ms (3.5%)

Memory

21.8MiB live, 74.6MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
74	-	3	(3.4254979158633395e-211 -2.849920818381747e-110)	`(/.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	46	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	46
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	25	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	25

Confusion

	Predicted +	Predicted -
+	71	3
-	0	182

Precision

1.0

Recall

0.9594594594594594

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	3
-	0	0	182

Precision?

1.0

Recall?

0.9594594594594594

Freqs

test

number	freq
0	185
1	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 6.0ms (46.4% of total)

ival-div: 3.0ms (23.2% of total)

ival-add: 3.0ms (23.2% 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)

preprocess178.0ms (7.4%)

Memory

-11.3MiB live, 260.4MiB allocated; 34ms 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
0	7	9
0	11	9
1	23	9
2	61	7
3	167	7
4	491	7
5	3419	7
0	8368	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

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)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series10.0ms (0.4%)

Memory

19.2MiB live, 19.2MiB 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)

rewrite115.0ms (4.8%)

Memory

-11.5MiB live, 133.5MiB allocated; 51ms 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 #s(literal 2 binary64) x))
(/.f64 (/.f64 (+.f64 y x) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y))) (.f64 (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)))) (-.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y))) (-.f64 (.f64 (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y))) (.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 y (.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) y))) (neg.f64 (.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) y)) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) x) y)
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 y (-.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (+.f64 y x) (.f64 (.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) y)) (.f64 (*.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (+.f64 y x) (.f64 #s(literal -2 binary64) (.f64 y x))))
(+.f64 (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)))
(+.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fabs.f64 y) (fabs.f64 y) (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y (-.f64 y x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 y (-.f64 y x)))))
(+.f64 y 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 (-.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))) (+.f64 (.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 (*.f64 #s(literal -1 binary64) y) x))
(-.f64 (.f64 y x) (.f64 (*.f64 #s(literal -1 binary64) 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 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
#s(approx (/ (+ x y) (* (* x 2) y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 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 #s(literal 2 binary64) x) y))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ x y) (* (* x 2) y)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (* (* x 2) y)) (fma.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ x y) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))
#s(approx y y)
#s(approx (+ x y) (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (+ x y) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64) #s(literal -1 binary64)) y) #s(literal -1 binary64)))

eval7.0ms (0.3%)

Memory: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 172 to 228 computations (80.5% saved)

prune15.0ms (0.6%)

Memory

-23.5MiB live, 21.8MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Accuracy

100.0%

Counts

74 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (fma.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
▶	88.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) x))
▶	88.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))

Status

Accuracy

Program

▶

100.0%

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

▶

88.8%

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

▶

88.8%

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

Compiler

Compiled 62 to 44 computations (29% saved)

series19.0ms (0.8%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Counts

21 → 45

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ (+ x y) (* (* x 2) y)) (/ (* (+ (* (/ y x) 1) 1) 1/2) y) (* (+ (* (/ y x) 1) 1) 1/2) (+ (* (/ y x) 1) 1) (/ y x) y x 1 1/2 (/ (+ x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) 1/2) x) (+ (* (* (/ x y) 1/2) 1) 1/2) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (+ (* (* (pow y -1) 1/2) 1) (* (pow x -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) -1 (* (pow x -1) 1/2) (pow x -1))
3.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (/ (* (+ (* (/ y x) 1) 1) 1/2) y) (* (+ (* (/ y x) 1) 1) 1/2) (+ (* (/ y x) 1) 1) (/ y x) y x 1 1/2 (/ (+ x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) 1/2) x) (+ (* (* (/ x y) 1/2) 1) 1/2) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (+ (* (* (pow y -1) 1/2) 1) (* (pow x -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) -1 (* (pow x -1) 1/2) (pow x -1))
3.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (/ (* (+ (* (/ y x) 1) 1) 1/2) y) (* (+ (* (/ y x) 1) 1) 1/2) (+ (* (/ y x) 1) 1) (/ y x) y x 1 1/2 (/ (+ x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) 1/2) x) (+ (* (* (/ x y) 1/2) 1) 1/2) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (+ (* (* (pow y -1) 1/2) 1) (* (pow x -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) -1 (* (pow x -1) 1/2) (pow x -1))
3.0ms	x	@	0	((/ (+ x y) (* (* x 2) y)) (/ (* (+ (* (/ y x) 1) 1) 1/2) y) (* (+ (* (/ y x) 1) 1) 1/2) (+ (* (/ y x) 1) 1) (/ y x) y x 1 1/2 (/ (+ x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) 1/2) x) (+ (* (* (/ x y) 1/2) 1) 1/2) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (+ (* (* (pow y -1) 1/2) 1) (* (pow x -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) -1 (* (pow x -1) 1/2) (pow x -1))
2.0ms	y	@	0	((/ (+ x y) (* (* x 2) y)) (/ (* (+ (* (/ y x) 1) 1) 1/2) y) (* (+ (* (/ y x) 1) 1) 1/2) (+ (* (/ y x) 1) 1) (/ y x) y x 1 1/2 (/ (+ x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) 1/2) x) (+ (* (* (/ x y) 1/2) 1) 1/2) (* (/ x y) 1/2) (/ x y) (/ (+ x y) (* (* x 2) y)) (+ (* (* (pow y -1) 1/2) 1) (* (pow x -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) -1 (* (pow x -1) 1/2) (pow x -1))

rewrite132.0ms (5.5%)

Memory

-1.8MiB live, 91.2MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	816
0	137	708
1	462	676
0	2698	645

Stop Event

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

Counts

66 → 511

Calls

Call 1

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

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

eval51.0ms (2.1%)

Memory: -4.4MiB live, 88.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 039 to 1 639 computations (86.4% saved)

prune261.0ms (10.9%)

Memory

11.3MiB live, 295.0MiB allocated; 27ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	428	0	428
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	428	3	431

Accuracy

100.0%

Counts

431 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (fma.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
✓	88.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) x))
✓	88.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))

Status

Accuracy

Program

✓

100.0%

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

✓

88.8%

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

✓

88.8%

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

Compiler

Compiled 133 to 75 computations (43.6% saved)

regimes9.0ms (0.4%)

Memory

-30.9MiB live, 14.1MiB allocated; 5ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Outputs

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

Calls

3 calls:

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

regimes5.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #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
92.2%	2	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
99.9%	2	`x`
99.9%	2	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB 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 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.8%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
88.8%	1	`y`
88.8%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch8.0ms (0.3%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	-4.755259557148114e-57	-2.856714697473351e-65

Samples

4.0ms

80×

valid

Compiler

Compiled 212 to 162 computations (23.6% saved)

Precisions

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

ival-div: 1.0ms (48.4% of total)

ival-mult: 1.0ms (48.4% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify49.0ms (2.1%)

Memory

-14.3MiB live, 31.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	86
1	42	86
2	81	86
3	206	86
4	1002	86
5	6340	86

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -7067388259113537/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) x)))

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

Outputs

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

(if (<=.f64 x #s(literal -7067388259113537/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) x)))

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

derivations18.0ms (0.8%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 86 to 29 computations (66.3% saved)

preprocess54.0ms (2.2%)

Memory: -6.2MiB live, 40.4MiB allocated; 4ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 234 to 104 computations (55.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze314.0ms (13.2%)

sample1.1s (44.3%)

explain83.0ms (3.5%)

preprocess178.0ms (7.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series10.0ms (0.4%)

rewrite115.0ms (4.8%)

eval7.0ms (0.3%)

prune15.0ms (0.6%)

series19.0ms (0.8%)

rewrite132.0ms (5.5%)

eval51.0ms (2.1%)

prune261.0ms (10.9%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch8.0ms (0.3%)

simplify49.0ms (2.1%)

derivations18.0ms (0.8%)

preprocess54.0ms (2.2%)

end0.0ms (0%)

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