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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze28.0ms (1.6%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.0s (56.8%)

Memory

-25.4MiB live, 728.5MiB allocated; 245ms collecting garbage

Samples

569.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-mult!: 121.0ms (39.4% of total)

ival-div!: 106.0ms (34.5% of total)

ival-add!: 78.0ms (25.4% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess79.0ms (4.4%)

Memory

-2.0MiB live, 44.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	97	54
2	513	42
3	4717	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Symmetry

(sort x y)

Compiler

Compiled 14 to 14 computations (0% saved)

series23.0ms (1.3%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	169

Stop Event

1×	iter-limit

Counts

7 → 14

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
4.0ms	x	@	-inf	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
3.0ms	x	@	inf	((/ (+ x y) (* (* x 2) y)) (+ x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	x	@	0	((/ (+ 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)

rewrite70.0ms (4%)

Memory

19.9MiB live, 60.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	48	23
0	419	23

Stop Event

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

Counts

7 → 81

Calls

Call 1

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

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

eval19.0ms (1.1%)

Memory: -22.0MiB live, 24.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 628 to 273 computations (56.5% saved)

prune7.0ms (0.4%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Accuracy

100.0%

Counts

91 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.5%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
▶	78.1%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
▶	41.4%	(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	91.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y))
▶	49.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	52.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 106 to 106 computations (0% saved)

series16.0ms (0.9%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	249

Stop Event

1×	iter-limit

Counts

21 → 20

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite105.0ms (5.9%)

Memory

-17.8MiB live, 44.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	38	123
0	171	120

Stop Event

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

Counts

21 → 80

Calls

Call 1

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

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

eval60.0ms (3.4%)

Memory: -26.0MiB live, 18.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 463 to 274 computations (40.8% saved)

prune3.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	74	7	81

Accuracy

100.0%

Counts

81 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
▶	43.0%	(/.f64 (/.f64 #s(approx (+ x y) y) (+.f64 x x)) y)
✓	78.1%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
▶	41.4%	(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y))
▶	91.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	49.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 58 to 58 computations (0% saved)

series14.0ms (0.8%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	297

Stop Event

1×	iter-limit

Counts

16 → 25

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite31.0ms (1.8%)

Memory

-5.7MiB live, 39.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	99
0	33	99
0	174	99

Stop Event

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

Counts

16 → 78

Calls

Call 1

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

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

eval14.0ms (0.8%)

Memory: -17.9MiB live, 27.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 621 to 327 computations (47.3% saved)

prune5.0ms (0.3%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	98	8	106

Accuracy

100.0%

Counts

106 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
✓	43.0%	(/.f64 (/.f64 #s(approx (+ x y) y) (+.f64 x x)) y)
✓	78.1%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
▶	38.4%	(/.f64 #s(approx (/ (+ y x) y) (/.f64 x y)) (+.f64 x x))
✓	41.4%	(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y))
✓	91.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	49.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 66 to 66 computations (0% saved)

series31.0ms (1.8%)

Memory

-19.2MiB live, 33.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	148

Stop Event

1×	iter-limit

Counts

6 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (/ x y) x y (+ x x))
7.0ms	x	@	0	((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (/ x y) x y (+ x x))
4.0ms	y	@	-inf	((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (/ x y) x y (+ x x))
2.0ms	x	@	-inf	((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (/ x y) x y (+ x x))
2.0ms	x	@	inf	((/ (/ (+ y x) y) (+ x x)) (/ (+ y x) y) (/ x y) x y (+ x x))

rewrite33.0ms (1.9%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	11	30
0	62	30

Stop Event

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

Counts

6 → 17

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 153 to 95 computations (37.9% saved)

prune36.0ms (2%)

Memory

-35.1MiB live, 9.8MiB allocated; 8ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	24	8	32

Accuracy

100.0%

Counts

32 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
✓	43.0%	(/.f64 (/.f64 #s(approx (+ x y) y) (+.f64 x x)) y)
✓	78.1%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
✓	38.4%	(/.f64 #s(approx (/ (+ y x) y) (/.f64 x y)) (+.f64 x x))
✓	41.4%	(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y))
✓	91.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	49.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	52.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 124 to 107 computations (13.7% saved)

regimes21.0ms (1.2%)

Memory

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

Counts

11 → 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))
(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y))
(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(approx (/ (+ y x) y) (/.f64 x y)) (+.f64 x x))
(/.f64 (/.f64 #s(approx (+ x y) y) (+.f64 x x)) y)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #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))
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y))

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

Calls

3 calls:

7.0ms	y
6.0ms	x
6.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
99.4%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
99.9%	2	`x`
99.9%	2	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes12.0ms (0.7%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

9 → 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))
(/.f64 #s(approx (+ x y) y) (*.f64 (+.f64 x x) y))
(/.f64 #s(approx (+ x y) y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(approx (/ (+ y x) y) (/.f64 x y)) (+.f64 x x))
(/.f64 (/.f64 #s(approx (+ x y) y) (+.f64 x x)) y)
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #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 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
96.1%	2	`x`
96.8%	2	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes24.0ms (1.4%)

Memory

-30.3MiB live, 16.8MiB allocated; 3ms collecting garbage

Counts

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

16.0ms	y
4.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
4.0ms	x

Results

Accuracy	Segments	Branch
60.7%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
84.3%	2	`x`
84.3%	2	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB 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:

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

Results

Accuracy	Segments	Branch
52.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
52.0%	1	`x`
52.0%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch7.0ms (0.4%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.9221390917736596e-78	3.810537928578758e-78

Samples

3.0ms

48×

valid

Compiler

Compiled 66 to 72 computations (-9.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (74.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch35.0ms (2%)

Memory

-25.6MiB live, 20.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.192546077764531e+151	1.1978717433279146e+156

Samples

8.0ms

128×

valid

Compiler

Compiled 188 to 204 computations (-8.5% saved)

Precisions

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

ival-mult!: 2.0ms (56.2% of total)

ival-add!: 1.0ms (28.1% of total)

ival-div!: 1.0ms (28.1% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.4536983996614e-119	6.621762159645429e-119

Compiler

Compiled 12 to 12 computations (0% saved)

derivations7.0ms (0.4%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 37 to 29 computations (21.6% saved)

preprocess75.0ms (4.3%)

Memory: 11.1MiB live, 104.4MiB allocated; 22ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 182 to 158 computations (13.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze28.0ms (1.6%)

sample1.0s (56.8%)

preprocess79.0ms (4.4%)

series23.0ms (1.3%)

rewrite70.0ms (4%)

eval19.0ms (1.1%)

prune7.0ms (0.4%)

series16.0ms (0.9%)

rewrite105.0ms (5.9%)

eval60.0ms (3.4%)

prune3.0ms (0.2%)

series14.0ms (0.8%)

rewrite31.0ms (1.8%)

eval14.0ms (0.8%)

prune5.0ms (0.3%)

series31.0ms (1.8%)

rewrite33.0ms (1.9%)

eval5.0ms (0.3%)

prune36.0ms (2%)

regimes21.0ms (1.2%)

regimes12.0ms (0.7%)

regimes24.0ms (1.4%)

regimes5.0ms (0.3%)

bsearch7.0ms (0.4%)

bsearch35.0ms (2%)

bsearch1.0ms (0%)

derivations7.0ms (0.4%)

preprocess75.0ms (4.3%)

end0.0ms (0%)

Profiling