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

Time bar (total: 13.6s)

start0.0ms (0%)

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

analyze19.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
68.8%68.7%31.2%0.1%0%0%0%6
78.1%78%21.9%0.1%0%0%0%7
82.8%82.7%17.2%0.1%0%0%0%8
88.3%88.2%11.7%0.1%0%0%0%9
91%90.9%9%0.1%0%0%0%10
93.9%93.9%6%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (8.5%)

Memory
16.5MiB live, 499.9MiB allocated; 186ms collecting garbage
Samples
702.0ms8 252×0valid
1.0ms3valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 299.0ms
ival-div!: 90.0ms (30.1% of total)
ival-mult!: 87.0ms (29.1% of total)
ival-sub!: 70.0ms (23.4% of total)
ival-add!: 50.0ms (16.7% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

preprocess77.0ms (0.6%)

Memory
-20.2MiB live, 22.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02874
113666
247366
3239566
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 18 to 18 computations (0% saved)

series366.0ms (2.7%)

Memory
-7.1MiB live, 79.8MiB allocated; 27ms collecting garbage
Counts
9 → 47
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
Outputs
#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)
#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 (+ 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 (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx (* x y) (*.f64 x y))
#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 #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 (+ 1 (/ (* x y) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 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 #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 (/ (* 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 (- 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 (+ 1 (/ (* x y) 2)) (*.f64 y (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))))
#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)))))
Calls

6 calls:

TimeVariablePointExpression
50.0ms
x
@inf
((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
3.0ms
x
@-inf
((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms
y
@0
((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms
x
@0
((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)
2.0ms
y
@inf
((- x (/ y (+ 1 (/ (* x y) 2)))) x (/ y (+ 1 (/ (* x y) 2))) y (+ 1 (/ (* x y) 2)) 1 (/ (* x y) 2) (* x y) 2)

rewrite4.6s (33.5%)

Memory
42.9MiB live, 2 324.6MiB allocated; 743ms collecting garbage
Counts
9 → 3 610
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 y (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x)) (/.f64 (neg.f64 #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))) x) (neg.f64 #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 y (fma.f64 y x #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (-.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 y (fma.f64 y x #s(literal 2 binary64)))))
(*.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))) x))
(*.f64 (neg.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 y x #s(literal 2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y))))
(*.f64 (/.f64 (neg.f64 #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))) (-.f64 y (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 y (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))
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(fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))) (-.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))) (-.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(hypot.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(hypot.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) (neg.f64 #s(literal -1 binary64)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))

eval671.0ms (4.9%)

Memory
2.7MiB live, 699.2MiB allocated; 199ms collecting garbage
Compiler

Compiled 41 145 to 13 358 computations (67.5% saved)

prune56.0ms (0.4%)

Memory
45.9MiB live, 93.0MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3 64373 650
Fresh000
Picked101
Done000
Total3 64473 651
Accuracy
100.0%
Counts
3 651 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
99.8%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))))
99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y))
62.5%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
62.2%
(-.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))))))
73.1%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
28.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
Compiler

Compiled 158 to 158 computations (0% saved)

series306.0ms (2.2%)

Memory
-39.6MiB live, 104.3MiB allocated; 20ms collecting garbage
Counts
18 → 74
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y))
x
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y)
(/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 y x #s(literal 2 binary64))
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(-.f64 x #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 #s(literal 2 binary64) x)
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64)))
(+.f64 y y)
Outputs
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (-.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 (* (/ 2 (+ (* y x) 2)) y)) (-.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.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 (* (/ 2 (+ (* y x) 2)) y)) (-.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.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))))) y))
#s(approx x x)
#s(approx (* (/ 2 (+ (* y x) 2)) y) y)
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.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)))))))))
#s(approx (/ 2 (+ (* y x) 2)) #s(literal 1 binary64))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (+ (* y x) 2) #s(literal 2 binary64))
#s(approx (+ (* y x) 2) (+.f64 #s(literal 2 binary64) (*.f64 x 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 (/ 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 (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (*.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 (* (/ 2 (+ (* y x) 2)) y)) (*.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 (* (/ 2 (+ (* y x) 2)) y)) (*.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 (* (/ 2 (+ (* y x) 2)) y) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (/.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 (* (/ 2 (+ (* y x) 2)) y) (/.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 (/ 2 (+ (* y x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 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 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x))
#s(approx (+ (* y x) 2) (*.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 (- x (* (/ 2 (+ (* y x) 2)) y)) (*.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 (* (/ 2 (+ (* y x) 2)) y)) (*.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 (* (/ 2 (+ (* y x) 2)) y)) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (/ 2 (+ (* y x) 2)) (*.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(approx (/ 2 (+ (* y x) 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 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(approx (/ 2 (+ (* 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 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x)) (*.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(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 (- x (* (/ 2 (+ (* y x) 2)) y)) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (+.f64 x (*.f64 y (-.f64 (*.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(literal 1 binary64)))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (fma.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))))))))))
#s(approx (/ 2 (+ (* y x) 2)) (+.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 (/ 2 (+ (* y x) 2)) (+.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 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 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 y) (*.f64 #s(literal 2 binary64) y))
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (-.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 (* (/ 2 (+ (* y x) 2)) y)) (-.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 (* (/ 2 (+ (* y x) 2)) y)) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (/ 2 (+ (* y x) 2)) (/.f64 (-.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)))) y))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.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))) y))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.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)))) y))
#s(approx (+ (* y x) 2) (*.f64 y (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- x (* (/ 2 (+ (* y x) 2)) y)) (-.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 (* (/ 2 (+ (* y x) 2)) y)) (-.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 (* (/ 2 (+ (* y x) 2)) y) (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 (* (/ 2 (+ (* y x) 2)) y) (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 (/ 2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.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))) y)))
#s(approx (/ 2 (+ (* y x) 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 (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))) y)))
#s(approx (/ 2 (+ (* 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 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))) 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))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) 2 (+ (* y x) 2) y (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* -1 y) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y))
2.0ms
y
@inf
((- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) 2 (+ (* y x) 2) y (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* -1 y) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y))
2.0ms
y
@-inf
((- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) 2 (+ (* y x) 2) y (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* -1 y) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y))
1.0ms
x
@-inf
((- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) 2 (+ (* y x) 2) y (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* -1 y) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y))
1.0ms
x
@inf
((- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) 2 (+ (* y x) 2) y (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* -1 y) -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y))

rewrite1.4s (10%)

Memory
-7.7MiB live, 184.8MiB allocated; 33ms collecting garbage
Counts
18 → 603
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y))
x
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y)
(/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 y x #s(literal 2 binary64))
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(-.f64 x #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 #s(literal 2 binary64) x)
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64)))
(+.f64 y y)
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 y (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x)) (/.f64 (neg.f64 #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (neg.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (-.f64 y (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y)) (/.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (neg.f64 (fma.f64 y x #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y) y))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 y (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x)) (fma.f64 y x #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 y) y) (fma.f64 y x #s(literal 2 binary64))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 y x #s(literal 2 binary64)))) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y))))
(+.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 (-.f64 (neg.f64 y) y) (fma.f64 y x #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 (neg.f64 y) y) (fma.f64 y x #s(literal 2 binary64))) x)
(+.f64 x (/.f64 (-.f64 (neg.f64 y) y) (fma.f64 y x #s(literal 2 binary64))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal 2 binary64)))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))) (+.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64)))))
(+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 y (fma.f64 y x #s(literal 2 binary64)))) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))))
(+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (/.f64 y (fma.f64 y x #s(literal 2 binary64)))) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))))
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 (neg.f64 y) y) (fma.f64 y x #s(literal 2 binary64))) (neg.f64 x))
(-.f64 (-.f64 x (/.f64 y (fma.f64 y x #s(literal 2 binary64)))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (/.f64 y (fma.f64 y x #s(literal 2 binary64)))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (/.f64 y (fma.f64 y x #s(literal 2 binary64)))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (neg.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) (neg.f64 #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y) y) (fma.f64 y x #s(literal 2 binary64)))
(/.f64 (-.f64 y (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y)) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (-.f64 y (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64)) (fma.f64 y x #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) y) y) (neg.f64 #s(literal 1 binary64))) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (neg.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (+.f64 y y))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x) (neg.f64 (fma.f64 y x #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (-.f64 (neg.f64 y) y))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (neg.f64 (fma.f64 y x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x) (neg.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 y #s(literal 2 binary64)) x) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (+.f64 y y)))) (*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64)))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
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(/.f64 (neg.f64 y) (neg.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (neg.f64 y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) y)) (fma.f64 y x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) y) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) (+.f64 y y)) (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64)) y) (fma.f64 y x #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (neg.f64 y)) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (neg.f64 (fma.f64 y x #s(literal 2 binary64)))))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64)))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (neg.f64 (fma.f64 y x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) (+.f64 y y))) (neg.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (neg.f64 y))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 y x #s(literal 2 binary64))) y)) (*.f64 (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64)) (*.f64 y (neg.f64 (fma.f64 y x #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (neg.f64 y))) (*.f64 (neg.f64 (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64)) y)) (neg.f64 (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) y (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y x #s(literal 2 binary64))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 y x #s(literal 2 binary64))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y x #s(literal 2 binary64)))) (/.f64 y (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (-.f64 (neg.f64 y) y) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (+.f64 y y) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 (+.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 y y)
(+.f64 (+.f64 y y) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(+.f64 (+.f64 y y) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(-.f64 y (neg.f64 y))
(-.f64 y (*.f64 (neg.f64 (neg.f64 #s(literal -1 binary64))) y))
(/.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 y #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) y)
(fma.f64 (neg.f64 #s(literal -1 binary64)) y y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) y)
(fma.f64 y (neg.f64 #s(literal -1 binary64)) y)
(fma.f64 y (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) y)
(fma.f64 (+.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 (+.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) y (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 (+.f64 y y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 1 binary64) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 y) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 y) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(neg.f64 (-.f64 (neg.f64 y) y))
(neg.f64 (*.f64 (-.f64 (neg.f64 y) y) #s(literal 1 binary64)))

eval197.0ms (1.4%)

Memory
38.3MiB live, 83.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 5 522 to 2 269 computations (58.9% saved)

prune170.0ms (1.3%)

Memory
-41.1MiB live, 25.2MiB allocated; 144ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6793682
Fresh112
Picked145
Done000
Total6818689
Accuracy
100.0%
Counts
689 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
62.4%
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
99.8%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))))
99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y))
62.2%
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))) y))
62.5%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
73.1%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
28.0%
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
Compiler

Compiled 85 to 85 computations (0% saved)

series390.0ms (2.9%)

Memory
9.0MiB live, 60.0MiB allocated; 27ms collecting garbage
Counts
23 → 90
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
(neg.f64 y)
y
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))) y))
x
(*.f64 #s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))) y)
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
#s(literal -1/2 binary64)
(*.f64 x y)
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
(/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y)))
(+.f64 y y)
#s(approx (+ (* y x) 2) (*.f64 x y))
Outputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (-.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.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))))) y))
#s(approx x x)
#s(approx (* (/ 2 (+ (* y x) 2)) y) y)
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.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)))))))))
#s(approx (/ 2 (+ (* y x) 2)) #s(literal 1 binary64))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.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))))) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* -1/2 (* x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
#s(approx (* x y) (*.f64 x 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 (/ 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 (+ 1 (/ (* x y) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
#s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ (* 1/2 x) (/ 1 y)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* y x) 2) #s(literal 2 binary64))
#s(approx (+ (* y x) 2) (+.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (* (/ 2 (+ (* y x) 2)) y) (/.f64 #s(literal 2 binary64) x))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (/.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 (* (/ 2 (+ (* y x) 2)) y) (/.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 (/ 2 (+ (* y x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 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 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) 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 (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (+ (* 1/2 x) (/ 1 y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) (/ 1 y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 (- x (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (/ 2 (+ (* y x) 2)) (*.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(approx (/ 2 (+ (* y x) 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 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(approx (/ 2 (+ (* 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 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x)) (*.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(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 (+ 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 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 (- x (/ (* 2 y) (+ 2 (* x y)))) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (+.f64 x (*.f64 y (-.f64 (*.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(literal 1 binary64)))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (fma.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))))))))))
#s(approx (/ 2 (+ (* y x) 2)) (+.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 (/ 2 (+ (* y x) 2)) (+.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 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 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 (+ (* 1/2 x) (/ 1 y)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) y))
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (/ 2 (+ (* y x) 2)) (/.f64 (-.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)))) y))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.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))) y))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.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)))) 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 (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* y x) 2) (*.f64 y (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.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 (* (/ 2 (+ (* y x) 2)) y) (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 (* (/ 2 (+ (* y x) 2)) y) (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 (/ 2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.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))) y)))
#s(approx (/ 2 (+ (* y x) 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 (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))) y)))
#s(approx (/ 2 (+ (* 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 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))) y)))
#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)))))
#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 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))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg y) y (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ 1 (* -1/2 (* x y))) 1 (* -1/2 (* x y)) -1/2 (* x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)) 1/2 (/ 1 y) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y) (+ (* y x) 2))
3.0ms
x
@-inf
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg y) y (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ 1 (* -1/2 (* x y))) 1 (* -1/2 (* x y)) -1/2 (* x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)) 1/2 (/ 1 y) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y) (+ (* y x) 2))
3.0ms
y
@inf
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg y) y (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ 1 (* -1/2 (* x y))) 1 (* -1/2 (* x y)) -1/2 (* x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)) 1/2 (/ 1 y) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y) (+ (* y x) 2))
3.0ms
y
@0
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg y) y (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ 1 (* -1/2 (* x y))) 1 (* -1/2 (* x y)) -1/2 (* x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)) 1/2 (/ 1 y) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y) (+ (* y x) 2))
2.0ms
x
@inf
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg y) y (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ 1 (* -1/2 (* x y))) 1 (* -1/2 (* x y)) -1/2 (* x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)) 1/2 (/ 1 y) (- x (/ (+ y y) (+ (* y x) 2))) (/ (+ y y) (+ (* y x) 2)) (+ y y) (+ (* y x) 2))

rewrite1.4s (10.2%)

Memory
20.4MiB live, 574.0MiB allocated; 174ms collecting garbage
Counts
23 → 463
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
(neg.f64 y)
y
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))) y))
x
(*.f64 #s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))) y)
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x y))
#s(literal -1/2 binary64)
(*.f64 x y)
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
(/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y)))
(+.f64 y y)
#s(approx (+ (* y x) 2) (*.f64 x y))
Outputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
(*.f64 (neg.f64 #s(literal 1 binary64)) y)
(*.f64 y (neg.f64 #s(literal 1 binary64)))
(neg.f64 y)
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(+.f64 y (*.f64 #s(literal 0 binary64) y))
(+.f64 y (*.f64 y #s(literal 0 binary64)))
(/.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 (*.f64 y y) y)
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 y))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y #s(literal 0 binary64)))
(neg.f64 (neg.f64 y))
(pow.f64 y (+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(approx (/ 2 (+ 2 (* x y))) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) y)
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (*.f64 #s(literal 0 binary64) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(/.f64 (+.f64 x x) #s(literal 2 binary64))
(/.f64 (*.f64 x y) y)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 y))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) y (/.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) y (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) y (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 0 binary64) y))
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 y (+.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 y (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ 2 (* x y)) (*.f64 x y))))
(/.f64 (+.f64 y y) #s(approx (+ 2 (* x y)) (*.f64 x y)))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (+.f64 y y) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 (*.f64 (+.f64 y y) y) (/.f64 #s(literal 1 binary64) y))
(+.f64 y y)
(+.f64 (+.f64 y y) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(+.f64 (+.f64 y y) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(-.f64 y (neg.f64 y))
(-.f64 y (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 y y) (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 y y) y) y)
(/.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 y #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) y)
(fma.f64 (*.f64 (+.f64 y y) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 (*.f64 (+.f64 y y) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 (+.f64 y y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 1 binary64) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 #s(literal 2 binary64)) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 y) (*.f64 #s(literal 0 binary64) (+.f64 y y)))
(fma.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 y) (*.f64 (+.f64 y y) #s(literal 0 binary64)))
(neg.f64 (-.f64 (neg.f64 y) y))
#s(approx (+ 2 (* x y)) (*.f64 x y))

eval165.0ms (1.2%)

Memory
-34.4MiB live, 127.5MiB allocated; 75ms collecting garbage
Compiler

Compiled 7 211 to 4 034 computations (44.1% saved)

prune25.0ms (0.2%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New7733776
Fresh000
Picked134
Done044
Total77410784
Accuracy
100.0%
Counts
784 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
62.4%
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
99.8%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))))
73.0%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y))
62.2%
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y))
62.5%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
73.1%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
22.0%
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
28.0%
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
Compiler

Compiled 116 to 116 computations (0% saved)

series460.0ms (3.4%)

Memory
-1.9MiB live, 135.3MiB allocated; 29ms collecting garbage
Counts
19 → 84
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y y)
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y))
x
(*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y)
#s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (-.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.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))))) y))
#s(approx x x)
#s(approx (* (/ 2 (+ (* y x) 2)) y) y)
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.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)))))))))
#s(approx (/ 2 (+ (* y x) 2)) #s(literal 1 binary64))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.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))))) (*.f64 #s(literal 1/2 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 (/ 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 (+ 1 (/ (* x y) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
#s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ (* 1/2 x) (/ 1 y)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (* (/ 2 (+ (* y x) 2)) y) (/.f64 #s(literal 2 binary64) x))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (/.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 (* (/ 2 (+ (* y x) 2)) y) (/.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 (/ 2 (+ (* y x) 2)) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 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 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x))
#s(approx (+ (* (* y -1/2) x) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))
#s(approx (+ (* (* y -1/2) x) 1) (*.f64 x (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (+ (* 1/2 x) (/ 1 y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) (/ 1 y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (/ (* 2 y) (+ 2 (* x y)))) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (* (/ 2 (+ (* y x) 2)) y) (*.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 (/ 2 (+ (* y x) 2)) (*.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(approx (/ 2 (+ (* y x) 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 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(approx (/ 2 (+ (* 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 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x)) (*.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(approx (+ (* (* y -1/2) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
#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 (- x (/ (* 2 y) (+ 2 (* x y)))) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (+.f64 x (*.f64 y (-.f64 (*.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(literal 1 binary64)))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))
#s(approx (* (/ 2 (+ (* y x) 2)) y) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (fma.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))))))))))
#s(approx (/ 2 (+ (* y x) 2)) (+.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 (/ 2 (+ (* y x) 2)) (+.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 -1/2) (*.f64 #s(literal -1/2 binary64) y))
#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 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 (+ (* 1/2 x) (/ 1 y)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) y))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (* (/ 2 (+ (* y x) 2)) y) (-.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 (/ 2 (+ (* y x) 2)) (/.f64 (-.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)))) y))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.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))) y))
#s(approx (/ 2 (+ (* y x) 2)) (/.f64 (-.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)))) y))
#s(approx (+ (* (* y -1/2) x) 1) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (-.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 (/ (* 2 y) (+ 2 (* x y)))) (-.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 (* (/ 2 (+ (* y x) 2)) y) (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 (* (/ 2 (+ (* y x) 2)) y) (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 (/ 2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.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))) y)))
#s(approx (/ 2 (+ (* y x) 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 (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))) y)))
#s(approx (/ 2 (+ (* 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 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))) y)))
#s(approx (+ (* (* y -1/2) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
#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)))))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@0
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg (* (/ 1 y) (* y y))) (* (/ 1 y) (* y y)) (/ 1 y) 1 y (* y y) (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ (* (* y -1/2) x) 1) (* y -1/2) -1/2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)))
5.0ms
y
@-inf
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg (* (/ 1 y) (* y y))) (* (/ 1 y) (* y y)) (/ 1 y) 1 y (* y y) (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ (* (* y -1/2) x) 1) (* y -1/2) -1/2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)))
3.0ms
y
@inf
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg (* (/ 1 y) (* y y))) (* (/ 1 y) (* y y)) (/ 1 y) 1 y (* y y) (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ (* (* y -1/2) x) 1) (* y -1/2) -1/2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)))
2.0ms
y
@0
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg (* (/ 1 y) (* y y))) (* (/ 1 y) (* y y)) (/ 1 y) 1 y (* y y) (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ (* (* y -1/2) x) 1) (* y -1/2) -1/2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)))
2.0ms
x
@-inf
((- x (/ (* 2 y) (+ 2 (* x y)))) (neg (* (/ 1 y) (* y y))) (* (/ 1 y) (* y y)) (/ 1 y) 1 y (* y y) (- x (* (/ 2 (+ (* y x) 2)) y)) x (* (/ 2 (+ (* y x) 2)) y) (/ 2 (+ (* y x) 2)) (+ (* (* y -1/2) x) 1) (* y -1/2) -1/2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* y (+ (* 1/2 x) (/ 1 y))) (+ (* 1/2 x) (/ 1 y)))

rewrite1.7s (12.5%)

Memory
4.9MiB live, 571.4MiB allocated; 151ms collecting garbage
Counts
19 → 576
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y y)
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y))
x
(*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y)
#s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
(*.f64 (neg.f64 #s(literal 1 binary64)) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y (neg.f64 #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 y)) (/.f64 (fabs.f64 y) y))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 (fabs.f64 y) y) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (/.f64 (fabs.f64 y) y)) (fabs.f64 y))
(*.f64 (*.f64 y y) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fabs.f64 y) (neg.f64 (/.f64 (fabs.f64 y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (fabs.f64 y))) (fabs.f64 y))
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (/.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fabs.f64 y) (*.f64 (neg.f64 (fabs.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fabs.f64 y) (/.f64 (neg.f64 (fabs.f64 y)) y))
(*.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y y))))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (-.f64 (neg.f64 y) y) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (neg.f64 y) y))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y y))) (+.f64 y y))
(/.f64 (*.f64 y (neg.f64 (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (*.f64 y y))) (neg.f64 (*.f64 y y)))
(neg.f64 y)
(neg.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y y))))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (/.f64 (fabs.f64 y) y)))
(*.f64 (/.f64 (fabs.f64 y) y) (fabs.f64 y))
(*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (/.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (fabs.f64 y)) (/.f64 (neg.f64 (fabs.f64 y)) y))
(+.f64 y (*.f64 #s(literal 0 binary64) y))
(+.f64 y (*.f64 y #s(literal 0 binary64)))
(/.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 (*.f64 y y) y)
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (+.f64 y y))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y y))) (-.f64 (neg.f64 y) y))
(/.f64 (*.f64 y (neg.f64 (*.f64 y y))) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (*.f64 y y))) (*.f64 y y))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 y) (*.f64 #s(literal 0 binary64) y))
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(fma.f64 (fabs.f64 y) (*.f64 (/.f64 (fabs.f64 y) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal -1/2 binary64)))) x))
(neg.f64 (neg.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(-.f64 x (/.f64 y #s(approx (/ (+ 2 (* x y)) 2) (*.f64 y #s(approx (+ (* x 1/2) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 y #s(approx (/ (+ 2 (* x y)) 2) (*.f64 y #s(approx (+ (* x 1/2) (/ 1 y)) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (+ 2 (* x y)) 2) (*.f64 y #s(approx (+ (* x 1/2) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y #s(approx (+ (* x 1/2) (/ 1 y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* x 1/2) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))

eval265.0ms (1.9%)

Memory
14.7MiB live, 159.3MiB allocated; 48ms collecting garbage
Compiler

Compiled 8 186 to 4 137 computations (49.5% saved)

prune38.0ms (0.3%)

Memory
-22.1MiB live, 24.7MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New9170917
Fresh000
Picked033
Done077
Total91710927
Accuracy
100.0%
Counts
927 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
62.4%
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
99.8%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))))
73.0%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y))
62.2%
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y))
62.5%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
73.1%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
22.0%
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
28.0%
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
Compiler

Compiled 221 to 193 computations (12.7% saved)

regimes17.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (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)))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y))
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) 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))))))
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))) y))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))))
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) y))
Calls

3 calls:

5.0ms
x
5.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms
y
Results
AccuracySegmentsBranch
99.9%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
99.9%1x
99.9%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes15.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (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)))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 binary64))) y))
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
Outputs
(-.f64 x (/.f64 (+.f64 y y) (fma.f64 y x #s(literal 2 binary64))))
Calls

3 calls:

6.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.9%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
99.9%1x
99.9%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes17.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (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)))
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(-.f64 x (/.f64 (+.f64 y y) #s(approx (+ (* y x) 2) (*.f64 x y))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 y #s(approx (+ (* 1/2 x) (/ 1 y)) (/.f64 #s(literal 1 binary64) y))))))
(-.f64 x (*.f64 #s(approx (/ 2 (+ (* y x) 2)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x #s(literal 1 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)))
Calls

3 calls:

5.0ms
y
5.0ms
x
5.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
87.9%3(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
87.7%3x
91.8%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes10.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (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))
Calls

3 calls:

3.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
73.1%1x
73.1%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
73.1%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes9.0ms (0.1%)

Memory
-44.8MiB live, 8.8MiB allocated; 6ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
Outputs
#s(approx (- x (/ (* 2 y) (+ 2 (* x y)))) (neg.f64 y))
Calls

3 calls:

6.0ms
x
2.0ms
y
1.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
28.0%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
28.0%1x
28.0%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch76.0ms (0.6%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.2948113709632465e+65
2.9156538707059834e+73
55.0ms
-4.715066223943935e+65
-7.291147234859972e+64
Samples
14.0ms240×0valid
Compiler

Compiled 344 to 374 computations (-8.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div!: 3.0ms (47.7% of total)
ival-mult!: 2.0ms (31.8% of total)
ival-sub!: 1.0ms (15.9% of total)
ival-add!: 1.0ms (15.9% of total)
adjust: 0.0ms (0% of total)

derivations2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 39 to 33 computations (15.4% saved)

preprocess94.0ms (0.7%)

Memory
10.5MiB live, 56.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 48 to 42 computations (12.5% saved)

end0.0ms (0%)

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

Profiling

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