Metrics for Kahan p9 Example

start0.0ms (0%)

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

analyze4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms 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)

sample882.0ms (34.4%)

Memory

-13.3MiB live, 842.7MiB allocated; 387ms collecting garbage

Samples

631.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-mult!: 170.0ms (53.4% of total)

ival-add!: 73.0ms (22.9% of total)

ival-sub!: 38.0ms (11.9% of total)

ival-div!: 35.0ms (11% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess64.0ms (2.5%)

Memory

-2.2MiB live, 42.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	96
1	162	90
2	561	90
3	1526	90
4	6601	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(/.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)

series114.0ms (4.5%)

Memory

24.7MiB live, 124.1MiB allocated; 30ms 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
1.0ms	x	inf
1.0ms	y	0
1.0ms	x	-inf
1.0ms	x	0
1.0ms	y	inf

rewrite154.0ms (6%)

Memory

20.7MiB live, 113.1MiB allocated; 22ms 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))

eval45.0ms (1.8%)

Memory: -53.4MiB live, 14.7MiB allocated; 56ms collecting garbage
Compiler: Compiled 2 003 to 364 computations (81.8% saved)

prune4.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB 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
▶	65.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	51.5%	(/.f64 (.f64 (-.f64 x y) (+.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)))))))
▶	65.3%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
▶	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
▶	63.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 182 to 110 computations (39.6% saved)

series185.0ms (7.2%)

Memory

4.8MiB live, 148.1MiB allocated; 14ms collecting garbage

Counts

24 → 74

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

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 (/ (pow x 2) (pow y 2))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (pow x 2) (pow y 2))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (pow x 2) (pow y 2)) (/.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 #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 (/ (pow x 2) (pow y 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #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 (/ (pow x 2) (pow y 2))) (/.f64 (+.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 (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 (/ (* (- 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
22.0ms	x	inf
6.0ms	y	-inf
4.0ms	x	-inf
4.0ms	y	0
3.0ms	y	inf

rewrite168.0ms (6.6%)

Memory

9.2MiB live, 139.1MiB allocated; 46ms collecting garbage

Counts

24 → 92

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

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

eval16.0ms (0.6%)

Memory: 20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 224 to 682 computations (86.9% saved)

prune12.0ms (0.5%)

Memory

-40.3MiB live, 6.6MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	182	7	189

Accuracy

98.9%

Counts

189 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
▶	51.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))) (.f64 y y))))
▶	65.3%	(.f64 (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))) (-.f64 x y))
▶	38.0%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
▶	64.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
✓	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	63.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 137 to 82 computations (40.1% saved)

series194.0ms (7.6%)

Memory

27.1MiB live, 78.9MiB allocated; 56ms collecting garbage

Counts

26 → 88

Calls

Call 1

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

Calls

6 calls:

Time	Variable	Point
5.0ms	y	-inf
3.0ms	x	-inf
2.0ms	x	inf
2.0ms	y	inf
2.0ms	x	0

rewrite169.0ms (6.6%)

Memory

16.1MiB live, 157.9MiB allocated; 20ms collecting garbage

Counts

26 → 107

Calls

Call 1

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

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

eval27.0ms (1.1%)

Memory: -8.9MiB live, 40.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 5 892 to 873 computations (85.2% saved)

prune11.0ms (0.4%)

Memory

-28.3MiB live, 18.5MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	194	6	200
Fresh	0	0	0
Picked	4	0	4
Done	0	3	3
Total	198	9	207

Accuracy

98.9%

Counts

207 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	51.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))))
▶	65.3%	(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y))
▶	38.0%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x)) x)))
▶	64.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ x y)) (/.f64 (+.f64 x y) y)) y)))
▶	64.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y))))
▶	38.0%	(.f64 #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 y x)) x)))
✓	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	63.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 360 to 210 computations (41.7% saved)

series189.0ms (7.4%)

Memory

-1.9MiB live, 136.6MiB allocated; 93ms collecting garbage

Counts

33 → 76

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	y	-inf
3.0ms	x	-inf
2.0ms	x	inf
2.0ms	y	0
2.0ms	y	inf

rewrite140.0ms (5.5%)

Memory

18.7MiB live, 68.2MiB allocated; 11ms collecting garbage

Counts

33 → 95

Calls

Call 1

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

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

eval23.0ms (0.9%)

Memory: -18.6MiB live, 27.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 450 to 851 computations (84.4% saved)

prune5.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	183	9	192

Accuracy

98.9%

Counts

192 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y y (.f64 x x)))
	51.5%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(approx (+ ( x x) (* y y)) (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))))
✓	65.3%	(.f64 (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))) (-.f64 x y))
✓	38.0%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ y x)) (/.f64 (+.f64 x y) x)) x)))
✓	64.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (/.f64 #s(approx (+ 1 (/ x y)) (/.f64 (+.f64 x y) y)) y)))
✓	64.5%	(.f64 (-.f64 x y) #s(approx (/ (+ x y) (+ ( x x) (* y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) y))))
✓	38.0%	(.f64 #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 y x)) x)))
✓	36.4%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal 1 binary64))
✓	63.2%	#s(approx (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) #s(literal -1 binary64))

Compiler

Compiled 204 to 120 computations (41.2% saved)

regimes28.0ms (1.1%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 3

7 → 3

10 → 4

16 → 4

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))

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

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

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

Calls

10 calls:

5.0ms	y
5.0ms	x
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
3.0ms	y
2.0ms	y

Results

Accuracy	Segments	Branch
63.2%	1	`y`
63.2%	1	`x`
63.2%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
87.9%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
88.4%	3	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
82.5%	2	`y`
92.7%	4	`y`
89.1%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
82.8%	2	`x`
93.3%	4	`y`

Compiler

Compiled 417 to 129 computations (69.1% saved)

bsearch30.0ms (1.2%)

Memory

-22.7MiB live, 24.3MiB allocated; 2ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	9.597626603193927e-46	2.7106653555885533e-39
8.0ms	4.408879794365653e-173	1.9922412922667917e-172
13.0ms	3.8726851222517553e-196	4.255461098871806e-189

Samples

15.0ms

320×

valid

Compiler

Compiled 899 to 578 computations (35.7% saved)

Precisions

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

ival-mult!: 4.0ms (47.2% of total)

ival-sub!: 2.0ms (23.6% of total)

ival-add!: 1.0ms (11.8% of total)

ival-div!: 1.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.597626603193927e-46	2.7106653555885533e-39
1.0ms	4.408879794365653e-173	1.9922412922667917e-172
1.0ms	3.8726851222517553e-196	4.255461098871806e-189

Compiler

Compiled 899 to 578 computations (35.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	-0.9539280817780977	0.9999984711784898

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch34.0ms (1.3%)

Memory

-24.1MiB live, 24.6MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.0	NaN
12.0ms	-0.9539280817780977	0.9999984711784898

Samples

7.0ms	416×	0	valid
2.0ms	101×	0	invalid

Compiler

Compiled 902 to 638 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

derivations2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 393 to 63 computations (84% saved)

preprocess57.0ms (2.2%)

Memory

39.5MiB live, 85.6MiB allocated; 6ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 2 402 to 874 computations (63.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.2%)

sample882.0ms (34.4%)

preprocess64.0ms (2.5%)

series114.0ms (4.5%)

rewrite154.0ms (6%)

eval45.0ms (1.8%)

prune4.0ms (0.2%)

series185.0ms (7.2%)

rewrite168.0ms (6.6%)

eval16.0ms (0.6%)

prune12.0ms (0.5%)

series194.0ms (7.6%)

rewrite169.0ms (6.6%)

eval27.0ms (1.1%)

prune11.0ms (0.4%)

series189.0ms (7.4%)

rewrite140.0ms (5.5%)

eval23.0ms (0.9%)

prune5.0ms (0.2%)

regimes28.0ms (1.1%)

bsearch30.0ms (1.2%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch34.0ms (1.3%)

derivations2.0ms (0.1%)

preprocess57.0ms (2.2%)

end0.0ms (0%)

Profiling