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

Time bar (total: 5.7s)

start0.0ms (0.0%)

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

analyze19.0ms (0.3%)

Memory
44.9MiB live, 44.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
50.0%50.0%50.0%0.1%0.0%0.0%0.0%3
50.0%50.0%50.0%0.1%0.0%0.0%0.0%4
62.5%62.4%37.5%0.1%0.0%0.0%0.0%5
68.8%68.7%31.2%0.1%0.0%0.0%0.0%6
78.1%78.0%21.9%0.1%0.0%0.0%0.0%7
82.8%82.7%17.2%0.1%0.0%0.0%0.0%8
88.3%88.2%11.7%0.1%0.0%0.0%0.0%9
91.0%90.9%9.0%0.1%0.0%0.0%0.0%10
93.9%93.9%6.0%0.1%0.0%0.0%0.0%11
95.4%95.3%4.6%0.1%0.0%0.0%0.0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample4.5s (78.6%)

Memory
-406.5MiB live, 1 352.3MiB allocated; 4.6s collecting garbage
Samples
4.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-mult!: 3.7s (93.8% of total)
ival-add!: 110.0ms (2.8% of total)
ival-div!: 110.0ms (2.8% of total)
ival-sub!: 20.0ms (0.5% of total)
adjust: 2.0ms (0.1% of total)
Bogosity

preprocess44.0ms (0.8%)

Memory
0.7MiB live, 45.8MiB allocated; 7ms 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
100.0%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series30.0ms (0.5%)

Memory
11.1MiB live, 56.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821287
Stop Event
iter-limit
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:

TimeVariablePoint
2.0ms
x
inf
1.0ms
y
0
1.0ms
y
inf
1.0ms
y
-inf
1.0ms
x
-inf

rewrite150.0ms (2.6%)

Memory
5.5MiB live, 245.4MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
01439
18139
231739
3151839
0412935
Stop Event
iter-limit
node-limit
iter-limit
Counts
9 → 569
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 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) x y) (-.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) x y) (fma.f64 y x #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64))))) (*.f64 (/.f64 x (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) x y) (-.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) x)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) x y) (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) x)) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) x) y) (/.f64 #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))) #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) x y) (-.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 2 binary64))) (fma.f64 y x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -2 binary64))
(/.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 y x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(literal 1 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(/.f64 (neg.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(neg.f64 (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 y (neg.f64 (neg.f64 x)) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 y (neg.f64 (neg.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 y x (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 y x (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 x y (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 x y (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(+.f64 (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
#s(literal 2 binary64)

eval69.0ms (1.2%)

Memory
35.2MiB live, 171.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 11 869 to 2 354 computations (80.2% saved)

prune14.0ms (0.2%)

Memory
-21.9MiB live, 28.3MiB allocated; 10ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6074611
Fresh000
Picked101
Done000
Total6084612
Accuracy
100.0%
Counts
612 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
62.3%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
72.7%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
26.8%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
Compiler

Compiled 52 to 41 computations (21.2% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
2
-2
Outputs
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series29.0ms (0.5%)

Memory
12.0MiB live, 57.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03891902
Stop Event
iter-limit
Counts
15 → 68
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
(-.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)
#s(literal 2 binary64)
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
(/.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))
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 (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (/ -2 (+ (* y x) 2)) #s(literal -1 binary64))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.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(literal 1 binary64)))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.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(literal 1 binary64)))
#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 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x y)))) x))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
#s(approx (/ -2 (+ (* y x) 2)) (/.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 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (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)))))) x))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 (-.f64 (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))))) (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))))))) 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 (/ 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 (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 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 (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 y #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 4 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 (/ 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 (/ -2 (+ (* y x) 2)) (-.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)) (-.f64 (*.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(literal 1 binary64)))
#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 (/ -2 (+ (* y x) 2)) (/.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 (-.f64 (/.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)))))) y))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 (-.f64 (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))))))) y))
#s(approx (+ (* y x) 2) (*.f64 y (+.f64 x (*.f64 #s(literal 2 binary64) (/.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 (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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))) y)))
#s(approx (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (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))) 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:

TimeVariablePoint
2.0ms
x
0
1.0ms
x
inf
1.0ms
y
-inf
1.0ms
x
-inf
1.0ms
y
inf

rewrite195.0ms (3.4%)

Memory
-25.1MiB live, 239.9MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02197
03090
118489
258389
3236289
0485089
Stop Event
iter-limit
node-limit
iter-limit
Counts
15 → 462
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
(-.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)
#s(literal 2 binary64)
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
(/.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))
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (+.f64 y y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))
(neg.f64 y)
#s(literal -1 binary64)
y
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y) x)) x)
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y))) (*.f64 x x)) (-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) x))
(/.f64 (+.f64 (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))) (-.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y))) (*.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y) #s(approx (/ y (+ 1 (/ (* x y) 2))) y))) (+.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y) #s(approx (/ y (+ 1 (/ (* x y) 2))) y) (*.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))))
(neg.f64 (-.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y) x))
(-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) (neg.f64 x))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
(+.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)) x)
(+.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) y)
(neg.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) x))
(/.f64 (+.f64 (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))) (-.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))) (*.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))) (+.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) (*.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))))
(neg.f64 (-.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) x))
(-.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (neg.f64 x))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) x)
(+.f64 x (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (neg.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x)))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64)))))
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(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal 2 binary64)) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64))
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(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64)))
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(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y x #s(literal 2 binary64))))
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(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
#s(literal -2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x))) (*.f64 y x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x))) (*.f64 y x))
(*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -16 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) x))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (+.f64 (*.f64 y x) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (*.f64 (*.f64 y x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal 2 binary64))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 2 binary64))
(fma.f64 y x #s(literal 2 binary64))
(fma.f64 x y #s(literal 2 binary64))
(-.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 y x) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 y x) #s(literal -1 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x #s(literal 1 binary64))))
(+.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 y x) #s(literal 2 binary64))
(+.f64 (fma.f64 y x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 y x))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))

eval65.0ms (1.1%)

Memory
-14.9MiB live, 175.0MiB allocated; 18ms collecting garbage
Compiler

Compiled 12 761 to 2 061 computations (83.8% saved)

prune9.0ms (0.2%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5133516
Fresh000
Picked134
Done000
Total5146520
Accuracy
100.0%
Counts
520 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
62.2%
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
62.8%
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))) y x)
62.3%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
72.7%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
26.8%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 83 to 64 computations (22.9% saved)

sample0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
-2
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series20.0ms (0.4%)

Memory
-9.5MiB live, 37.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161423
Stop Event
iter-limit
Counts
15 → 55
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))) y x)
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.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)
x
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
(/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y)))
#s(literal -2 binary64)
#s(approx (+ (* y x) 2) (*.f64 x y))
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 (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (/ -2 (+ (* y x) 2)) #s(literal -1 binary64))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.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(literal 1 binary64)))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.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(literal 1 binary64)))
#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 x)
#s(approx (+ (* y x) 2) #s(literal 2 binary64))
#s(approx (+ (* y x) 2) (+.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (- 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 (/ -2 (+ (* y x) 2)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
#s(approx (/ -2 (+ (* y x) 2)) (/.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 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (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)))))) x))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 (-.f64 (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))))) (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))))))) x))
#s(approx (- (* 1/2 (* x y)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* y x) 2) (*.f64 x (+.f64 y (*.f64 #s(literal 2 binary64) (/.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 (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 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 (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 y #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 4 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 (- (* 1/2 (* x y)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.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 (/ 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 y)
#s(approx (/ -2 (+ (* y x) 2)) (-.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)) (-.f64 (*.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(literal 1 binary64)))
#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 (/ -2 (+ (* y x) 2)) (/.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 (-.f64 (/.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)))))) y))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 (-.f64 (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))))))) y))
#s(approx (- (* 1/2 (* x y)) 1) (*.f64 y (-.f64 (*.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 (/ 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 (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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))) y)))
#s(approx (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (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))) y)))
#s(approx (- (* 1/2 (* x y)) 1) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* y x) 2) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))))
Calls

6 calls:

TimeVariablePoint
1.0ms
y
-inf
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
y
inf
1.0ms
x
0

rewrite134.0ms (2.4%)

Memory
-19.3MiB live, 224.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024103
033103
1198103
2613103
32746103
0433193
Stop Event
iter-limit
node-limit
iter-limit
Counts
15 → 386
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))) y x)
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.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)
x
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
(/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y)))
#s(literal -2 binary64)
#s(approx (+ (* y x) 2) (*.f64 x y))
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y)) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y))) (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y))) (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y)) (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y)))) (+.f64 x (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y)) (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y)) (*.f64 x (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) (neg.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y) (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y))) (-.f64 x (*.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))) y)))
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#s(literal -2 binary64)
#s(approx (+ (* y x) 2) (*.f64 y x))
(neg.f64 (neg.f64 #s(approx (+ (* y x) 2) (*.f64 y x))))

eval78.0ms (1.4%)

Memory
6.1MiB live, 143.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 12 438 to 1 861 computations (85.0% saved)

prune10.0ms (0.2%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4871488
Fresh000
Picked123
Done033
Total4886494
Accuracy
100.0%
Counts
494 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
62.2%
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
62.8%
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
62.3%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
72.7%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
26.8%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 82 to 63 computations (23.2% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
-1
Outputs
#s(literal 1/2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series23.0ms (0.4%)

Memory
-13.5MiB live, 43.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02901218
Stop Event
iter-limit
Counts
8 → 46
Calls
Call 1
Inputs
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
#s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (*.f64 #s(literal -1 binary64) y))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (fma.f64 #s(literal -1 binary64) y (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (/ -2 (+ (* y x) 2)) #s(literal -1 binary64))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.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(literal 1 binary64)))
#s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.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(literal 1 binary64)))
#s(approx (* y x) (*.f64 x y))
#s(approx x x)
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (fma.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
#s(approx (/ -2 (+ (* y x) 2)) (/.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 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (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)))))) x))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 (-.f64 (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))))) (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))))))) x))
#s(approx (+ (* (* y x) 1/2) -1) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx (+ (* (* y x) 1/2) -1) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 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 (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 y #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 4 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) 1/2) -1) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64)))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (+.f64 x (*.f64 y (-.f64 (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))))
#s(approx (/ -2 (+ (* y x) 2)) (-.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)) (-.f64 (*.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(literal 1 binary64)))
#s(approx y y)
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (-.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (-.f64 (+.f64 x (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (-.f64 (+.f64 x (fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (/ -2 (+ (* y x) 2)) (/.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 (-.f64 (/.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)))))) y))
#s(approx (/ -2 (+ (* y x) 2)) (/.f64 (-.f64 (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))))))) y))
#s(approx (+ (* (* y x) 1/2) -1) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ -2 (+ (* y x) 2)) y) x) (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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))) y)))
#s(approx (/ -2 (+ (* y x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (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))) y)))
#s(approx (+ (* (* y x) 1/2) -1) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
Calls

6 calls:

TimeVariablePoint
7.0ms
x
0
1.0ms
x
-inf
1.0ms
y
-inf
1.0ms
x
inf
1.0ms
y
inf

rewrite99.0ms (1.7%)

Memory
32.7MiB live, 146.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
01844
18744
224244
373644
4178644
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 8
Calls
Call 1
Inputs
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
#s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
Outputs
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
#s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)

eval16.0ms (0.3%)

Memory
-19.2MiB live, 38.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 442 to 322 computations (77.7% saved)

prune3.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done055
Total46652
Accuracy
100.0%
Counts
52 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
62.2%
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
62.8%
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
62.3%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
72.7%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
26.8%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 82 to 63 computations (23.2% saved)

regimes117.0ms (2.1%)

Memory
-31.4MiB live, 149.1MiB allocated; 46ms collecting garbage
Counts
1 → 1
3 → 1
7 → 3
8 → 1
9 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Call 2
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
Outputs
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
Call 3
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))) y x)
Outputs
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
Call 4
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))) y x)
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
Outputs
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
Call 5
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (*.f64 #s(literal -1 binary64) y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (* y x) 2) (*.f64 x y))) y x)
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))) y x)
(fma.f64 #s(approx (/ -2 (+ (* y x) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))) y x)
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y x #s(literal 2 binary64))) y x)
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Calls

15 calls:

37.0ms
y
24.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms
y
3.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
26.8%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
26.8%1y
26.8%1x
72.7%1x
72.7%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
72.7%1y
87.1%3(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
86.3%3x
91.6%3y
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
100.0%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
100.0%1x
100.0%1y
Compiler

Compiled 191 to 111 computations (41.9% saved)

bsearch19.0ms (0.3%)

Memory
35.4MiB live, 35.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
6.65719741507441e+150
2.3304349175221954e+151
11.0ms
-3.779252696509316e+74
-4.104361717744407e+69
Samples
9.0ms224×0valid
Compiler

Compiled 406 to 350 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div!: 2.0ms (48.5% of total)
ival-add!: 1.0ms (24.2% of total)
ival-mult!: 1.0ms (24.2% of total)
ival-sub!: 0.0ms (0.0% of total)
adjust: 0.0ms (0.0% of total)

derivations43.0ms (0.8%)

Memory
-7.6MiB live, 41.9MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 98 to 33 computations (66.3% saved)

preprocess31.0ms (0.5%)

Memory
-12.3MiB live, 80.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 109 to 42 computations (61.5% saved)

end0.0ms (0.0%)

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

Profiling

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