Metrics for Linear.Projection:perspective from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze22.0ms (1.1%)

Memory

8.5MiB live, 8.5MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.0s (49.8%)

Memory

38.3MiB live, 1 164.8MiB allocated; 314ms collecting garbage

Samples

623.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-mult!: 170.0ms (60.5% of total)

ival-div!: 74.0ms (26.3% of total)

ival-sub!: 34.0ms (12.1% of total)

adjust: 3.0ms (1.1% of total)

Bogosity

preprocess140.0ms (6.9%)

Memory

-35.7MiB live, 54.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	84	54
2	353	54
3	1169	54
4	2884	54

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 14 to 14 computations (0% saved)

series34.0ms (1.7%)

Memory

9.3MiB live, 52.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	604

Stop Event

1×	iter-limit

Counts

7 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite231.0ms (11.4%)

Memory

-30.7MiB live, 103.8MiB allocated; 202ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	46	23
0	368	23

Stop Event

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

Counts

7 → 62

Calls

Call 1

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

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

eval8.0ms (0.4%)

Memory: 21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 617 to 326 computations (47.2% saved)

prune11.0ms (0.5%)

Memory

-30.4MiB live, 13.4MiB allocated; 9ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	79	7	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	7	87

Accuracy

100.0%

Counts

87 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.0%	(/.f64 (/.f64 (*.f64 y (+.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
▶	78.9%	(/.f64 (*.f64 (+.f64 y y) x) (-.f64 x y))
▶	90.1%	(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))
▶	89.2%	(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))
	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 x (-.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))))
▶	52.1%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
▶	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 122 to 122 computations (0% saved)

series20.0ms (1%)

Memory

46.3MiB live, 46.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	1505

Stop Event

1×	iter-limit

Counts

17 → 65

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* (/ y (- x y)) (+ x x)) (/ y (- x y)) y (- x y) x (+ x x) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* 2 y) 2 (* y (/ (+ x x) (- x y))) (/ (+ x x) (- x y)) (/ (* (+ y y) x) (- x y)) (* (+ y y) x) (+ y y))
2.0ms	x	@	-inf	((* (/ y (- x y)) (+ x x)) (/ y (- x y)) y (- x y) x (+ x x) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* 2 y) 2 (* y (/ (+ x x) (- x y))) (/ (+ x x) (- x y)) (/ (* (+ y y) x) (- x y)) (* (+ y y) x) (+ y y))
2.0ms	y	@	-inf	((* (/ y (- x y)) (+ x x)) (/ y (- x y)) y (- x y) x (+ x x) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* 2 y) 2 (* y (/ (+ x x) (- x y))) (/ (+ x x) (- x y)) (/ (* (+ y y) x) (- x y)) (* (+ y y) x) (+ y y))
1.0ms	x	@	0	((* (/ y (- x y)) (+ x x)) (/ y (- x y)) y (- x y) x (+ x x) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* 2 y) 2 (* y (/ (+ x x) (- x y))) (/ (+ x x) (- x y)) (/ (* (+ y y) x) (- x y)) (* (+ y y) x) (+ y y))
1.0ms	y	@	inf	((* (/ y (- x y)) (+ x x)) (/ y (- x y)) y (- x y) x (+ x x) (/ (* (* x 2) y) (- x y)) (* -2 x) -2 (/ (* (* x 2) y) (- x y)) (* 2 y) 2 (* y (/ (+ x x) (- x y))) (/ (+ x x) (- x y)) (/ (* (+ y y) x) (- x y)) (* (+ y y) x) (+ y y))

rewrite39.0ms (1.9%)

Memory

-5.6MiB live, 38.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89
0	32	89
0	115	89

Stop Event

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

Counts

17 → 87

Calls

Call 1

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

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

eval53.0ms (2.6%)

Memory: -19.3MiB live, 30.7MiB allocated; 18ms collecting garbage
Compiler: Compiled 1 178 to 560 computations (52.5% saved)

prune9.0ms (0.5%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	141	7	148

Accuracy

100.0%

Counts

148 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.9%	(/.f64 (*.f64 (+.f64 y y) x) (-.f64 x y))
✓	90.1%	(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))
✓	89.2%	(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))
▶	88.9%	(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x x))))
▶	52.1%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
▶	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 x (-.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 2 binary64))))
✓	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 59 to 59 computations (0% saved)

series50.0ms (2.5%)

Memory

-7.7MiB live, 37.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1370

Stop Event

1×	iter-limit

Counts

17 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (* x (- (* -2 (/ x y)) 2)) x (- (* -2 (/ x y)) 2) (* -2 (/ x y)) -2 (/ x y) y 2 (/ (* (* x 2) y) (- x y)) (+ y y) (* y (/ 1 (/ (- x y) (+ x x)))) (/ 1 (/ (- x y) (+ x x))) 1 (/ (- x y) (+ x x)) (- x y) (+ x x))
4.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* x (- (* -2 (/ x y)) 2)) x (- (* -2 (/ x y)) 2) (* -2 (/ x y)) -2 (/ x y) y 2 (/ (* (* x 2) y) (- x y)) (+ y y) (* y (/ 1 (/ (- x y) (+ x x)))) (/ 1 (/ (- x y) (+ x x))) 1 (/ (- x y) (+ x x)) (- x y) (+ x x))
4.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* x (- (* -2 (/ x y)) 2)) x (- (* -2 (/ x y)) 2) (* -2 (/ x y)) -2 (/ x y) y 2 (/ (* (* x 2) y) (- x y)) (+ y y) (* y (/ 1 (/ (- x y) (+ x x)))) (/ 1 (/ (- x y) (+ x x))) 1 (/ (- x y) (+ x x)) (- x y) (+ x x))
4.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* x (- (* -2 (/ x y)) 2)) x (- (* -2 (/ x y)) 2) (* -2 (/ x y)) -2 (/ x y) y 2 (/ (* (* x 2) y) (- x y)) (+ y y) (* y (/ 1 (/ (- x y) (+ x x)))) (/ 1 (/ (- x y) (+ x x))) 1 (/ (- x y) (+ x x)) (- x y) (+ x x))
3.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (* x (- (* -2 (/ x y)) 2)) x (- (* -2 (/ x y)) 2) (* -2 (/ x y)) -2 (/ x y) y 2 (/ (* (* x 2) y) (- x y)) (+ y y) (* y (/ 1 (/ (- x y) (+ x x)))) (/ 1 (/ (- x y) (+ x x))) 1 (/ (- x y) (+ x x)) (- x y) (+ x x))

rewrite47.0ms (2.3%)

Memory

0.6MiB live, 44.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	31	93
0	142	90

Stop Event

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

Counts

17 → 59

Calls

Call 1

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

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

eval12.0ms (0.6%)

Memory: 23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 009 to 543 computations (46.2% saved)

prune10.0ms (0.5%)

Memory

-35.0MiB live, 9.5MiB allocated; 10ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	106	7	113

Accuracy

100.0%

Counts

113 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.9%	(/.f64 (*.f64 (+.f64 y y) x) (-.f64 x y))
▶	89.0%	(/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))
✓	90.1%	(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))
✓	89.2%	(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))
✓	52.1%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
▶	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 55 to 55 computations (0% saved)

series13.0ms (0.6%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	850

Stop Event

1×	iter-limit

Counts

11 → 44

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite39.0ms (1.9%)

Memory

-19.6MiB live, 28.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	24	60
0	118	60

Stop Event

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

Counts

11 → 42

Calls

Call 1

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

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

eval9.0ms (0.4%)

Memory: 19.0MiB live, 18.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 658 to 382 computations (41.9% saved)

prune6.0ms (0.3%)

Memory

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

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	77	7	84

Accuracy

100.0%

Counts

84 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.9%	(/.f64 (*.f64 (+.f64 y y) x) (-.f64 x y))
✓	89.0%	(/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))
✓	90.1%	(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))
✓	89.2%	(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))
✓	52.1%	#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))
✓	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 127 to 99 computations (22% saved)

regimes16.0ms (0.8%)

Memory

-18.6MiB live, 27.0MiB allocated; 7ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs
(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))
(/.f64 y (/.f64 (-.f64 x y) (+.f64 x x)))
(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))

Calls

3 calls:

8.0ms	x
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms	y

Results

Accuracy	Segments	Branch
98.7%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
99.9%	3	`x`
99.9%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.2%)

Memory

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

Counts

9 → 3

Calls

Call 1

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

Outputs
(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))
(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))
(*.f64 (/.f64 y (-.f64 x y)) (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

(*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.2%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
94.3%	3	`x`
95.5%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes9.0ms (0.5%)

Memory

-34.0MiB live, 11.9MiB allocated; 5ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.8%	3	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
72.9%	3	`x`
79.1%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (+.f64 y y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
52.1%	1	`x`
52.1%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch19.0ms (0.9%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.1923402504945787e-75	2.807894752685809e-72
8.0ms	-2.696111917324838e+76	-2.968547312098068e+74

Samples

9.0ms

240×

valid

Compiler

Compiled 192 to 222 computations (-15.6% saved)

Precisions

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

ival-mult!: 2.0ms (52.5% of total)

ival-sub!: 1.0ms (26.2% of total)

ival-div!: 1.0ms (26.2% of total)

adjust: 0.0ms (0% of total)

bsearch5.0ms (0.3%)

Memory

-41.7MiB live, 2.5MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.1923402504945787e-75	2.807894752685809e-72
5.0ms	-2.696111917324838e+76	-2.968547312098068e+74

Compiler

Compiled 132 to 152 computations (-15.2% saved)

bsearch23.0ms (1.1%)

Memory

45.7MiB live, 45.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.553815310381838e+108	1.7617335013753174e+118
10.0ms	-1.4766257972955916e+175	-1.0681158917452237e+168

Samples

10.0ms

288×

valid

Compiler

Compiled 318 to 354 computations (-11.3% saved)

Precisions

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

ival-mult!: 3.0ms (64% of total)

ival-sub!: 1.0ms (21.3% of total)

ival-div!: 1.0ms (21.3% of total)

adjust: 0.0ms (0% of total)

bsearch32.0ms (1.6%)

Memory

-10.3MiB live, 42.9MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.6134467969453186e-38	1.6865281417324498e-28
18.0ms	-2.129740805417034e+34	-1.0726491821198848e+27

Samples

18.0ms

304×

valid

Compiler

Compiled 411 to 449 computations (-9.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 3.0ms (53.7% of total)

ival-div!: 2.0ms (35.8% of total)

ival-sub!: 1.0ms (17.9% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.6134467969453186e-38	1.6865281417324498e-28
1.0ms	-2.129740805417034e+34	-1.0726491821198848e+27

Compiler

Compiled 373 to 411 computations (-10.2% saved)

derivations20.0ms (1%)

Memory

-20.9MiB live, 25.1MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 66 to 48 computations (27.3% saved)

preprocess125.0ms (6.2%)

Memory: 2.7MiB live, 147.4MiB allocated; 79ms collecting garbage
Compiler: Compiled 73 to 55 computations (24.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze22.0ms (1.1%)

sample1.0s (49.8%)

preprocess140.0ms (6.9%)

series34.0ms (1.7%)

rewrite231.0ms (11.4%)

eval8.0ms (0.4%)

prune11.0ms (0.5%)

series20.0ms (1%)

rewrite39.0ms (1.9%)

eval53.0ms (2.6%)

prune9.0ms (0.5%)

series50.0ms (2.5%)

rewrite47.0ms (2.3%)

eval12.0ms (0.6%)

prune10.0ms (0.5%)

series13.0ms (0.6%)

rewrite39.0ms (1.9%)

eval9.0ms (0.4%)

prune6.0ms (0.3%)

regimes16.0ms (0.8%)

regimes4.0ms (0.2%)

regimes7.0ms (0.3%)

regimes9.0ms (0.5%)

regimes2.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch19.0ms (0.9%)

bsearch5.0ms (0.3%)

bsearch23.0ms (1.1%)

bsearch32.0ms (1.6%)

bsearch2.0ms (0.1%)

derivations20.0ms (1%)

preprocess125.0ms (6.2%)

end0.0ms (0%)

Profiling