Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

start0.0ms (0.0%)

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

analyze24.0ms (1.2%)

Memory

9.3MiB live, 54.3MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	3
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	4
62.5%	62.4%	37.5%	0.1%	0.0%	0.0%	0.0%	5
68.8%	68.7%	31.2%	0.1%	0.0%	0.0%	0.0%	6
78.1%	78.0%	21.9%	0.1%	0.0%	0.0%	0.0%	7
82.8%	82.7%	17.2%	0.1%	0.0%	0.0%	0.0%	8
88.3%	88.2%	11.7%	0.1%	0.0%	0.0%	0.0%	9
91.0%	90.9%	9.0%	0.1%	0.0%	0.0%	0.0%	10
93.9%	93.9%	6.0%	0.1%	0.0%	0.0%	0.0%	11
95.4%	95.3%	4.6%	0.1%	0.0%	0.0%	0.0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample918.0ms (45.9%)

Memory

-7.1MiB live, 1 335.3MiB allocated; 451ms collecting garbage

Samples

672.0ms

8 256×

valid

Precisions

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

ival-div!: 146.0ms (47.5% of total)

ival-mult!: 83.0ms (27.0% of total)

ival-add!: 53.0ms (17.2% of total)

ival-sub!: 25.0ms (8.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess38.0ms (1.9%)

Memory

-9.2MiB live, 37.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	74
1	136	66
2	473	66
3	2395	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
2

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series35.0ms (1.7%)

Memory

28.5MiB live, 82.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1287

Stop Event

1×	iter-limit

Counts

9 → 47

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (* x y) (*.f64 x y))
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
#s(approx (+ 1 (/ (* x y) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (/ (* x y) 2)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x y))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))))))) y))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 x y))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x y)))) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (.f64 y (-.f64 (.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

6 calls:

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

rewrite141.0ms (7.0%)

Memory

5.2MiB live, 283.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	81	39
2	317	39
3	1518	39
0	4129	35

Stop Event

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

Counts

9 → 569

Calls

Call 1

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

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

eval87.0ms (4.3%)

Memory: -8.6MiB live, 136.8MiB allocated; 68ms collecting garbage
Compiler: Compiled 11 838 to 2 358 computations (80.1% saved)

prune15.0ms (0.7%)

Memory

-12.1MiB live, 34.0MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	602	6	608
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	603	6	609

Accuracy

100.0%

Counts

609 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) #s(literal -2 binary64) x)
▶	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	63.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
▶	73.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
	61.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
▶	26.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))

Compiler

Compiled 192 to 148 computations (22.9% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
-2
-1
1
-1/2

Outputs
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series56.0ms (2.8%)

Memory

11.0MiB live, 56.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	2005

Stop Event

1×	iter-limit

Counts

23 → 79

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (+ (* y x) 2) #s(literal 2 binary64))
#s(approx (+ (* y x) 2) (+.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (/ y (+ (* y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ y (+ (* y x) 2)) (fma.f64 #s(literal -1/4 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ y (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) y (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ y (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) y (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (*.f64 #s(literal -1 binary64) y))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (fma.f64 #s(literal -1 binary64) y (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (fma.f64 #s(literal -1 binary64) y (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (fma.f64 #s(literal -1 binary64) y (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))))))) y))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (* x y) (*.f64 x y))
#s(approx (* -1/2 (* x y)) (.f64 #s(literal -1/2 binary64) (.f64 x y)))
#s(approx (+ 1 (* -1/2 (* x y))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/2 (* x y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x y))))
#s(approx (+ (* y x) 2) (.f64 x (+.f64 y (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ y (+ (* y x) 2)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ y (+ (* y x) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x))
#s(approx (/ y (+ (* y x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 x y))) x))
#s(approx (/ y (+ (* y x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 x y)))) x))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 x y))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x y)))) x))
#s(approx (+ 1 (* -1/2 (* x y))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (* y (+ 1 (* -1/2 (* x y)))) (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* y (+ 1 (* -1/2 (* x y)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x))))
#s(approx (+ (* y x) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ y (+ (* y x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1 binary64)) x)))
#s(approx (/ y (+ (* y x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 1 binary64)) x)))
#s(approx (/ y (+ (* y x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x)))
#s(approx (+ 1 (* -1/2 (* x y))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* y (+ 1 (* -1/2 (* x y)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ y (+ (* y x) 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x y)))))
#s(approx (/ y (+ (* y x) 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (/ y (+ (* y x) 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) x))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (+.f64 x (.f64 y (-.f64 (.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (+ (* y x) 2) (.f64 y (+.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ y (+ (* y x) 2)) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (/ y (+ (* y x) 2)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (/ y (+ (* y x) 2)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (-.f64 (+.f64 x (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (-.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (-.f64 (+.f64 x (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (+ 1 (* -1/2 (* x y))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
#s(approx (* y (+ 1 (* -1/2 (* x y)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* y x) 2) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (/ y (+ (* y x) 2)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ y (+ (* y x) 2)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ y (+ (* y x) 2)) -2) x) (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* -1/2 (* x y))) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))

Calls

6 calls:

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

rewrite196.0ms (9.8%)

Memory

-17.7MiB live, 316.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	163
0	42	154
1	244	153
2	822	153
3	3017	153
0	5687	149

Stop Event

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

Counts

23 → 622

Calls

Call 1

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

Outputs
y
x
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) (fma.f64 x y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x y))) (*.f64 x y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x y))) (*.f64 x y))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (fma.f64 x y #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -16 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 4 binary64)) #s(literal -16 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 y) x) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) x))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) x))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (fma.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) x) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 y) x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 x y #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 #s(literal 2 binary64) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (.f64 x y) (fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (.f64 (*.f64 x y) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (.f64 x y) (-.f64 (.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 x y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 2 binary64))))
(/.f64 (fma.f64 x y #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 x y)))
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal 2 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x y #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 2 binary64))
(fma.f64 (fma.f64 x y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x y #s(literal 2 binary64))
(fma.f64 y x #s(literal 2 binary64))
(-.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 x y) #s(literal -2 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y #s(literal 1 binary64))))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 x y) #s(literal -1 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))
(+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x y) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(+.f64 (fma.f64 x y #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x y))
(.f64 (/.f64 y (-.f64 #s(literal -2 binary64) (.f64 x y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 2 binary64))) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal -2 binary64) (.f64 x y))))
(*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 x y #s(literal 2 binary64))))
(*.f64 (/.f64 y (fma.f64 x y #s(literal 2 binary64))) #s(literal 1 binary64))
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(neg.f64 (-.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) x))
(-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) (neg.f64 x))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))
(+.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) x)
(+.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))

eval101.0ms (5.0%)

Memory: 8.9MiB live, 150.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 17 206 to 3 033 computations (82.4% saved)

prune11.0ms (0.6%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	681	3	684
Fresh	1	0	1
Picked	5	0	5
Done	-3	3	0
Total	684	6	690

Accuracy

100.0%

Counts

690 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) #s(literal -2 binary64) x)
▶	63.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 x y) y) #s(literal -1/2 binary64) y)))
▶	61.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (+.f64 x x) (*.f64 x x))))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	73.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
▶	26.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 90 to 67 computations (25.6% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1/2

Outputs
#s(literal -1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series29.0ms (1.4%)

Memory

-23.3MiB live, 125.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1282

Stop Event

1×	iter-limit

Counts

15 → 47

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))))))) y))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (+ x x) (* x x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (+.f64 y (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* x y) (*.f64 x y))
#s(approx (* (* x y) y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 x y))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 x y)))) x))
#s(approx (+ (* (* (* x y) y) -1/2) y) (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* (* (* x y) y) -1/2) y) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x)))
#s(approx (+ (* (* (* x y) y) -1/2) y) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (.f64 y (-.f64 (.f64 y (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (+ (* (* (* x y) y) -1/2) y) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

6 calls:

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

rewrite145.0ms (7.2%)

Memory

10.6MiB live, 195.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	122
0	32	122
1	182	122
2	663	110
3	3176	110
0	4051	104

Stop Event

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

Counts

15 → 339

Calls

Call 1

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

Outputs
x
y
(neg.f64 y)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) (+.f64 x x)) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (.f64 (.f64 x x) (+.f64 x x)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(/.f64 (+.f64 x x) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(-.f64 x (neg.f64 x))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64)))
(+.f64 (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x)))
(+.f64 x x)
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(.f64 (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (*.f64 #s(literal 2 binary64) (copysign.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x x)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) x)))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(fma.f64 (copysign.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x))) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/.f64 (-.f64 (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))) (.f64 x x)) (-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x))) x))
(/.f64 (+.f64 (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))) (-.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))) (.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))) (+.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) (.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 #s(literal 2 binary64) x))))))
(neg.f64 (-.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) x))
(-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 x))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) x)
(+.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 x y)
(/.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(neg.f64 (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) (neg.f64 y) (.f64 (.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 y) (.f64 #s(literal 0 binary64) (.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 y) (neg.f64 x) (.f64 (.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 y x)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64) (.f64 (.f64 y x) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (.f64 y x)))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 y x (.f64 (.f64 y x) #s(literal 0 binary64)))
(fma.f64 y x (.f64 #s(literal 0 binary64) (.f64 y x)))
(fma.f64 x y (.f64 (.f64 y x) #s(literal 0 binary64)))
(fma.f64 x y (.f64 #s(literal 0 binary64) (.f64 y x)))
(+.f64 (.f64 y x) (.f64 (*.f64 y x) #s(literal 0 binary64)))
(+.f64 (.f64 y x) (.f64 #s(literal 0 binary64) (*.f64 y x)))
(.f64 (.f64 x (fabs.f64 y)) (fabs.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) x))
(.f64 (.f64 y y) x)
(.f64 (.f64 (neg.f64 x) y) (neg.f64 y))
(.f64 (.f64 y x) y)
(.f64 (neg.f64 y) (.f64 (neg.f64 x) y))
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
#s(literal -1/2 binary64)
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) y)) y)) y)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) y)) y)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)))) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)))) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y)))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) y)))) (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) y)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) y))))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)))) (-.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y))) (.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (+.f64 (.f64 y y) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (neg.f64 y)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y))) (.f64 y y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y)) (neg.f64 y)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y))) (.f64 y y)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y)) y))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) (-.f64 (.f64 y y) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y)) y))))
(neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) y)) y))
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (fabs.f64 y)) (fabs.f64 y) y)
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) (neg.f64 y) y)
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 y y) y)
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x y)
(fma.f64 (.f64 (.f64 (neg.f64 x) y) y) #s(literal 1/2 binary64) y)
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 y x) y)
(fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) x) y)
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) y y)
(fma.f64 (.f64 (neg.f64 x) y) (.f64 #s(literal 1/2 binary64) y) y)
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)
(fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)
(fma.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y) y)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y x)) y)
(fma.f64 x (.f64 (.f64 #s(literal -1/2 binary64) y) y) y)
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y)) (neg.f64 y))
(-.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y x) y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y)) y)
(+.f64 y (.f64 (neg.f64 (.f64 (*.f64 (neg.f64 x) y) y)) #s(literal -1/2 binary64)))
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y x) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))
(neg.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)) x)) x)
(/.f64 (-.f64 (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)))) (.f64 x x)) (-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) x))
(/.f64 (+.f64 (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) (-.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))))) (-.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)))))
(/.f64 (+.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)))) (.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)) #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)))) (+.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)) #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)) (.f64 x #s(approx (/ y (+ 1 (/ ( x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))))))
(neg.f64 (-.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)) x))
(-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) (neg.f64 x))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y)))
(+.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))) x)
(+.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 y x) y) y))))

eval38.0ms (1.9%)

Memory: 9.8MiB live, 101.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 042 to 1 765 computations (82.4% saved)

prune9.0ms (0.4%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	375	0	375
Fresh	0	0	0
Picked	3	0	3
Done	-3	6	3
Total	375	6	381

Accuracy

100.0%

Counts

381 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) #s(literal -2 binary64) x)
✓	63.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 x y) y) #s(literal -1/2 binary64) y)))
✓	61.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (+.f64 x x) (*.f64 x x))))
✓	64.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	73.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
✓	26.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 90 to 67 computations (25.6% saved)

regimes64.0ms (3.2%)

Memory

-23.7MiB live, 74.9MiB allocated; 7ms collecting garbage

Counts

1 → 1

3 → 1

6 → 3

10 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

Outputs

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

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

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

Call 4

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

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

Calls

12 calls:

4.0ms	y
4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	y
4.0ms	x
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
26.5%	1	`x`
26.5%	1	`y`
26.5%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
73.8%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
73.8%	1	`x`
73.8%	1	`y`
88.7%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
89.0%	3	`x`
92.3%	3	`y`
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 212 to 103 computations (51.4% saved)

bsearch22.0ms (1.1%)

Memory

-1.3MiB live, 45.5MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.6705261062091577e+73	2.7555429420818207e+74
11.0ms	-1.0890152029558723e+68	-2.211247904175769e+65

Samples

10.0ms

240×

valid

Compiler

Compiled 434 to 374 computations (13.8% saved)

Precisions

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

ival-mult!: 2.0ms (42.1% of total)

ival-div!: 2.0ms (42.1% of total)

ival-sub!: 1.0ms (21.1% of total)

ival-add!: 1.0ms (21.1% of total)

adjust: 0.0ms (0.0% of total)

derivations45.0ms (2.3%)

Memory

24.0MiB live, 69.6MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 87 to 27 computations (69.0% saved)

preprocess29.0ms (1.5%)

Memory: -21.5MiB live, 72.0MiB allocated; 15ms collecting garbage
Compiler: Compiled 98 to 36 computations (63.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze24.0ms (1.2%)

sample918.0ms (45.9%)

preprocess38.0ms (1.9%)

sample0.0ms (0.0%)

series35.0ms (1.7%)

rewrite141.0ms (7.0%)

eval87.0ms (4.3%)

prune15.0ms (0.7%)

sample0.0ms (0.0%)

series56.0ms (2.8%)

rewrite196.0ms (9.8%)

eval101.0ms (5.0%)

prune11.0ms (0.6%)

sample0.0ms (0.0%)

series29.0ms (1.4%)

rewrite145.0ms (7.2%)

eval38.0ms (1.9%)

prune9.0ms (0.4%)

regimes64.0ms (3.2%)

bsearch22.0ms (1.1%)

derivations45.0ms (2.3%)

preprocess29.0ms (1.5%)

end0.0ms (0.0%)

Profiling