Metrics for Kahan p9 Example

start0.0ms (0%)

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

analyze50.0ms (1.8%)

Memory

-21.0MiB live, 23.5MiB allocated; 14ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	18.7%	81.3%	0%	0%	0%	0
0%	0%	18.7%	81.3%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
50%	9.4%	9.4%	81.3%	0%	0%	0%	3
50%	9.4%	9.4%	81.3%	0%	0%	0%	4
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	5
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	6
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	7
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	8
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	9
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	10
99.8%	18.7%	0%	81.3%	0%	0%	0%	11
99.8%	18.7%	0%	81.3%	0%	0%	0%	12

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.1s (38.6%)

Memory

31.3MiB live, 733.0MiB allocated; 347ms collecting garbage

Samples

718.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-mult!: 163.0ms (46.9% of total)

ival-div!: 91.0ms (26.2% of total)

ival-add!: 60.0ms (17.3% of total)

ival-sub!: 32.0ms (9.2% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess22.0ms (0.8%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	96
1	162	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 30 to 18 computations (40% saved)

series140.0ms (5.1%)

Memory

-31.8MiB live, 70.3MiB allocated; 26ms collecting garbage

Counts

9 → 50

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (- x y) (+ x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y)))))
#s(approx (* (- x y) (+ x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (+ (* x x) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x x) (* y y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x)))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 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 y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x))))
#s(approx (* (- x y) (+ x y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y)) (/.f64 (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 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 y)) (+ (* x x) (* y y))) (+.f64 #s(literal 1 binary64) (*.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 y)) (+ (* x x) (* y y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (- x y) (+ x y)) (fma.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (- x y) (+ x y)) (fma.f64 y (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (+ (* x x) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (+ x y)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))))
#s(approx (* (- x y) (+ x y)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) 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 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
11.0ms	x	-inf
2.0ms	y	0
2.0ms	x	inf
1.0ms	x	0
1.0ms	y	inf

rewrite163.0ms (6%)

Memory

26.8MiB live, 165.2MiB allocated; 24ms collecting garbage

Counts

9 → 36

Calls

Call 1

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

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

eval13.0ms (0.5%)

Memory: -22.4MiB live, 26.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 003 to 364 computations (81.8% saved)

prune4.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Accuracy

98.9%

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	69.1%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
▶	66.7%	(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
▶	35.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	64.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 156 to 96 computations (38.5% saved)

series165.0ms (6.1%)

Memory

-9.6MiB live, 278.7MiB allocated; 73ms collecting garbage

Counts

18 → 84

Calls

Call 1

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

Outputs
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal -1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (* (- x y) (+ x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (- x y) (+ x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y)))))
#s(approx (* (- x y) (+ x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 x (fma.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(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (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(approx (/ 1 (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* x x) (* y y))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x x) (* y y))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) #s(literal 1 binary64))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x)))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 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 y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))) x))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ 1 (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x))))
#s(approx (* (- x y) (+ x y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y)) (/.f64 (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 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 x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64)) x)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+.f64 #s(literal 1 binary64) (*.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 y)) (+ (* y y) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (- x y) (+ x y)) (fma.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (- x y) (+ x y)) (fma.f64 y (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (+ (* x x) (* y y))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x x) (* y y))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* x x) (* y y))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))))
#s(approx (* (- x y) (+ x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y))
#s(approx (/ 1 (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64)))
#s(approx (/ (* (- x y) (+ x y)) (+ (* y y) (* x x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (+ x y)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))))
#s(approx (* (- x y) (+ x y)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) 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 y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64)) y)))

Calls

6 calls:

Time	Variable	Point
3.0ms	x	-inf
2.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	inf
1.0ms	y	0

rewrite152.0ms (5.6%)

Memory

20.2MiB live, 159.4MiB allocated; 50ms collecting garbage

Counts

18 → 82

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 x y))) (neg.f64 (fma.f64 y y (.f64 x x))))
(*.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y)))
(+.f64 (.f64 (-.f64 x y) x) (.f64 (-.f64 x y) y))
(fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y)))
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(neg.f64 (-.f64 y x))
x
y
(+.f64 x y)
(+.f64 y x)
(-.f64 x (neg.f64 y))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(-.f64 (.f64 y y) (neg.f64 (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 x y))) (neg.f64 (fma.f64 y y (.f64 x x))))
(.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
(+.f64 (/.f64 x (fma.f64 y y (.f64 x x))) (/.f64 y (fma.f64 y y (.f64 x x))))
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (fma.f64 y y (*.f64 x x))))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(-.f64 (.f64 y y) (neg.f64 (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(pow.f64 y #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 x y))) (neg.f64 (fma.f64 y y (.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y (*.f64 x x))))
(pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))

eval19.0ms (0.7%)

Memory: -1.2MiB live, 44.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 752 to 673 computations (85.8% saved)

prune8.0ms (0.3%)

Memory

-31.5MiB live, 15.4MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	184	8	192

Accuracy

98.9%

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	69.1%	(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	36.7%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
▶	65.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
▶	36.3%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
✓	66.7%	(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
✓	35.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	64.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 143 to 88 computations (38.5% saved)

series164.0ms (6%)

Memory

14.7MiB live, 152.9MiB allocated; 53ms collecting garbage

Counts

22 → 72

Calls

Call 1

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

Outputs
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) #s(literal -1 binary64))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #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 y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 x (fma.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(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (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(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1 (/ x y)) #s(literal 1 binary64))
#s(approx (+ 1 (/ x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (+ 1 (/ y x)) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ 1 (/ y x)) x) (/.f64 (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (/ y x)) (/.f64 y x))
#s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))) x))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ (+ 1 (/ x y)) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (+ 1 (/ x y)) y) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (/ x y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ 1 (/ y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x))))
#s(approx (- x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64)) 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 y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (*.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 y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ 1 (/ x y)) y) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ 1 (/ x y)) (/.f64 (+.f64 x y) y))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.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 y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y))
#s(approx (/ (+ 1 (/ y x)) x) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (/ y x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (+ (* y y) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) 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 y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64)) 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
3.0ms	x	-inf
2.0ms	y	-inf
2.0ms	x	inf
2.0ms	x	0
2.0ms	y	inf

rewrite134.0ms (4.9%)

Memory

2.7MiB live, 150.6MiB allocated; 13ms collecting garbage

Counts

22 → 70

Calls

Call 1

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

Outputs
(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(neg.f64 (-.f64 y x))
x
y
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 (fma.f64 #s(literal 1 binary64) y x) y)
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x y) x)
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (.f64 x x)))
(.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
(+.f64 (/.f64 x (fma.f64 y y (.f64 x x))) (/.f64 y (fma.f64 y y (.f64 x x))))
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (fma.f64 y y (*.f64 x x))))
(+.f64 x y)
(+.f64 y x)
(-.f64 x (neg.f64 y))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(-.f64 (.f64 y y) (neg.f64 (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(pow.f64 x #s(literal 2 binary64))

eval33.0ms (1.2%)

Memory: 14.4MiB live, 61.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 045 to 664 computations (83.6% saved)

prune8.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	147	12	159

Accuracy

98.9%

Counts

159 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	69.1%	(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	65.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
▶	36.7%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x)) x)))
✓	36.3%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
▶	36.7%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x))))
▶	36.7%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))))
✓	66.7%	(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
▶	36.3%	(.f64 #s(approx (- x y) (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
▶	4.1%	(.f64 #s(approx (- x y) (.f64 #s(literal -1 binary64) y)) #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
✓	35.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	64.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 378 to 230 computations (39.2% saved)

series178.0ms (6.5%)

Memory

-6.4MiB live, 135.7MiB allocated; 110ms collecting garbage

Counts

30 → 65

Calls

Call 1

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

Outputs
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) #s(literal -1 binary64))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #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 y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 x (fma.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(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (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(approx (/ (+ 1 (/ y x)) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ 1 (/ y x)) x) (/.f64 (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (/ y x)) (/.f64 y x))
#s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* y (- (/ x y) 1)) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- (/ x y) 1) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) #s(literal 1 binary64))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- x y) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))) x))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (+ 1 (/ y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (- (/ x y) 1) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x))))
#s(approx (- x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64)) 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) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (*.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 y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (fma.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ x y) 1) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)) y))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.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 y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) y))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y))
#s(approx (/ (+ 1 (/ y x)) x) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (/ y x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64)))
#s(approx (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) 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 y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64)) 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
10.0ms	x	0
3.0ms	y	-inf
2.0ms	x	-inf
2.0ms	y	inf
2.0ms	y	0

rewrite207.0ms (7.6%)

Memory

9.8MiB live, 102.6MiB allocated; 29ms collecting garbage

Counts

30 → 84

Calls

Call 1

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

Outputs
(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x)) x)))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(neg.f64 (-.f64 y x))
x
y
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x)) x))
(/.f64 #s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x)) x)
#s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 x x) (/.f64 y x))
(/.f64 (+.f64 x y) x)
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 x))
(+.f64 x y)
(+.f64 y x)
(-.f64 x (neg.f64 y))
(.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- x y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(.f64 #s(approx (- x y) (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (/.f64 y x)) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (/.f64 y x))) (.f64 x x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 y x) x)) (.f64 x x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 x))
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x y) x)
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (/.f64 y x)) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (/.f64 y x))) (.f64 x x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 y x) x)) (.f64 x x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 x))
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y x) x)
(/.f64 y (*.f64 x x))
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 x))

eval46.0ms (1.7%)

Memory: -29.4MiB live, 23.8MiB allocated; 36ms collecting garbage
Compiler: Compiled 4 477 to 678 computations (84.9% saved)

prune8.0ms (0.3%)

Memory

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

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	0	0	0
Picked	2	3	5
Done	0	7	7
Total	144	13	157

Accuracy

98.9%

Counts

157 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
✓	69.1%	(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
✓	65.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
✓	36.7%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x)) x)))
	36.7%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ y x)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) x))) x)))
✓	36.3%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
✓	36.7%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))))
✓	66.7%	(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
✓	36.3%	(.f64 #s(approx (- x y) (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ (* x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
	36.2%	(.f64 #s(approx (- x y) (.f64 y #s(approx (- (/ x y) 1) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))))) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
	4.1%	(.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(literal 1 binary64) x)))
✓	35.1%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	64.3%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 291 to 176 computations (39.5% saved)

regimes42.0ms (1.5%)

Memory

1.0MiB live, 49.3MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

6 → 3

12 → 3

14 → 4

18 → 2

Calls

Call 1

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

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

Call 2

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

Outputs

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

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

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

Call 3

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

Outputs

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

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

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

Call 4

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

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

Call 5

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

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

Calls

11 calls:

6.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
6.0ms	y
6.0ms	x
4.0ms	y
4.0ms	y

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`y`
64.3%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
90.6%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
91.0%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
85.3%	2	`y`
94.5%	4	`y`
90.4%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
92.1%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
83.5%	2	`x`
94.6%	4	`y`

Compiler

Compiled 472 to 139 computations (70.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch34.0ms (1.3%)

Memory

-8.4MiB live, 37.9MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.535385345616339e-27	1.5175061612125732e-24
12.0ms	1.346063689382349e-157	6.1192761810736e-152
7.0ms	8.182872903405279e-173	2.59239744020341e-172

Samples

15.0ms

336×

valid

Compiler

Compiled 744 to 500 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult!: 4.0ms (48.8% of total)

ival-sub!: 1.0ms (12.2% of total)

ival-add!: 1.0ms (12.2% of total)

ival-div!: 1.0ms (12.2% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9725227248762113	0.9999999998106165

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9725227248762113	0.9999999998106165

Compiler

Compiled 18 to 14 computations (22.2% saved)

derivations2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 341 to 56 computations (83.6% saved)

preprocess81.0ms (3%)

Memory

-15.6MiB live, 124.8MiB allocated; 21ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 2 236 to 787 computations (64.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze50.0ms (1.8%)

sample1.1s (38.6%)

preprocess22.0ms (0.8%)

series140.0ms (5.1%)

rewrite163.0ms (6%)

eval13.0ms (0.5%)

prune4.0ms (0.1%)

series165.0ms (6.1%)

rewrite152.0ms (5.6%)

eval19.0ms (0.7%)

prune8.0ms (0.3%)

series164.0ms (6%)

rewrite134.0ms (4.9%)

eval33.0ms (1.2%)

prune8.0ms (0.3%)

series178.0ms (6.5%)

rewrite207.0ms (7.6%)

eval46.0ms (1.7%)

prune8.0ms (0.3%)

regimes42.0ms (1.5%)

bsearch0.0ms (0%)

bsearch34.0ms (1.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations2.0ms (0.1%)

preprocess81.0ms (3%)

end0.0ms (0%)

Profiling