Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze10.0ms (0.7%)

Memory
22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample523.0ms (40.3%)

Memory
9.1MiB live, 818.7MiB allocated; 190ms collecting garbage
Samples
305.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-add!: 51.0ms (54% of total)
ival-div!: 42.0ms (44.5% of total)
adjust: 1.0ms (1.1% of total)
Bogosity

preprocess36.0ms (2.8%)

Memory
8.4MiB live, 53.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01748
17342
231342
3174842
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 14 to 10 computations (28.6% saved)

series17.0ms (1.3%)

Memory
-16.6MiB live, 28.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049147
Stop Event
iter-limit
Counts
5 → 13
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
Calls

6 calls:

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

rewrite79.0ms (6.1%)

Memory
17.3MiB live, 117.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
12315
29115
349115
0439614
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 434
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
(*.f64 (/.f64 (+.f64 y y) (*.f64 #s(literal 2 binary64) (+.f64 y y))) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y y) #s(literal 4 binary64)) (/.f64 (+.f64 y x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 y y) (*.f64 y y)) (/.f64 (+.f64 y x) #s(literal 4 binary64)))
(*.f64 (/.f64 (+.f64 y y) (fabs.f64 (+.f64 y y))) (/.f64 (+.f64 y x) (fabs.f64 (+.f64 y y))))
(*.f64 (/.f64 (+.f64 y y) (*.f64 (+.f64 y y) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y)) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y y) y) (/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (+.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (+.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (+.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) y)))
(*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))
(*.f64 (fma.f64 (neg.f64 x) y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y) (*.f64 y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) y)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))
(*.f64 (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) y)))
(*.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) y)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (neg.f64 x) y))
(*.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 y x))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (+.f64 y y) (/.f64 (+.f64 y x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 y (/.f64 (+.f64 y x) (*.f64 (+.f64 y y) y)))
(/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y y) (+.f64 y x)) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y)) (*.f64 x y))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 x y))) (*.f64 (+.f64 y y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y) (*.f64 y (neg.f64 x)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 y x))) (*.f64 (+.f64 y y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y)))) (*.f64 (+.f64 y y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 y y))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y)))) (*.f64 (+.f64 y y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 y x))) (*.f64 #s(literal -4 binary64) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y) (*.f64 y y))) (*.f64 (+.f64 y y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) (+.f64 y x))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 x) y)) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y)) (*.f64 x y)) y) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 x y)) (*.f64 y y)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 x y)) (+.f64 y y)) y)
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 x y)) y) (+.f64 y y))
(/.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) y) y)
(/.f64 (/.f64 (fma.f64 (neg.f64 x) y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) y)) y)
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) y) y)
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -2 binary64) y) (*.f64 y (neg.f64 x))) y) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 y x)) (*.f64 y y)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 y x)) (+.f64 y y)) y)
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y) (*.f64 y x)) y) (+.f64 y y))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) y)) y)
(/.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y))) (*.f64 y y)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y))) #s(literal 2 binary64)) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y))) (+.f64 y y)) y)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 y y)) y) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y))) (*.f64 y y)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y))) #s(literal 2 binary64)) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y))) (+.f64 y y)) y)
(/.f64 (/.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 y y))) y) (+.f64 y y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 y x)) (+.f64 y y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y) (*.f64 y y)) (*.f64 y y)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y) (*.f64 y y)) (+.f64 y y)) y)
(/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y) (*.f64 y y)) y) (+.f64 y y))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) y)
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (*.f64 y y)) #s(literal 4 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (fabs.f64 (+.f64 y y))) (fabs.f64 (+.f64 y y)))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y y) y)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (+.f64 y y) y))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) y) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y)) (+.f64 y y))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64) x) (+.f64 y y))
(/.f64 (fma.f64 (/.f64 x (+.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (+.f64 y y) y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(/.f64 (fma.f64 (/.f64 x (+.f64 y y)) (neg.f64 y) (*.f64 y #s(literal -1/2 binary64))) (neg.f64 y))
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 y y)) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(/.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 x x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
(/.f64 (fma.f64 (*.f64 (+.f64 y y) x) (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (*.f64 (+.f64 y y) y) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 x y) (neg.f64 y))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 y) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (+.f64 y y) y))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 y y) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
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(*.f64 (+.f64 y y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))
(/.f64 (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 y y))) y)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (+.f64 y y))
(neg.f64 (/.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (*.f64 #s(literal -2 binary64) y)))
(neg.f64 (-.f64 (neg.f64 x) y))
(fma.f64 (/.f64 (+.f64 y y) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y y) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (+.f64 y y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) y) (*.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 #s(literal 1 binary64) x y)
(fma.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(fma.f64 (+.f64 y y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (+.f64 y y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 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 y (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(-.f64 y (*.f64 (neg.f64 (/.f64 x y)) y))
(-.f64 y (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (+.f64 y y))))
(-.f64 y (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (+.f64 y y)))
(-.f64 y (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 (*.f64 #s(literal 1 binary64) x) y)
(+.f64 (+.f64 y x) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(+.f64 (+.f64 y x) (*.f64 #s(literal 0 binary64) (+.f64 y x)))
(+.f64 y (*.f64 #s(literal 1 binary64) x))
(+.f64 y x)
(+.f64 x y)
x
y
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 y (*.f64 #s(literal -1 binary64) y))
(-.f64 y (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 y (neg.f64 y))
(+.f64 y y)

eval39.0ms (3%)

Memory
17.7MiB live, 107.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 6 577 to 921 computations (86% saved)

prune22.0ms (1.7%)

Memory
-23.8MiB live, 20.5MiB allocated; 7ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4403443
Fresh000
Picked101
Done000
Total4413444
Accuracy
100.0%
Counts
444 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
44.5%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
56.2%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 28 to 21 computations (25% saved)

series10.0ms (0.7%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033103
Stop Event
iter-limit
Counts
8 → 9
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
x
y
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (* 1/2 (/ x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) y))
#s(approx y y)
Calls

6 calls:

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

rewrite155.0ms (12%)

Memory
1.0MiB live, 285.3MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01139
01539
14539
216137
3101537
0439537
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 1 299
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
x
y
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 y) y))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y y)) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y y)) y))
(*.f64 (/.f64 (/.f64 x (+.f64 y y)) #s(literal -2 binary64)) (/.f64 (+.f64 y y) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y y)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (/.f64 x y) (+.f64 y y)) (neg.f64 y)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 x y) (+.f64 y y)) y))
(*.f64 (/.f64 (/.f64 x (+.f64 y y)) y) (/.f64 (+.f64 y y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) (/.f64 (+.f64 y y) y))
(*.f64 (/.f64 (+.f64 y y) #s(literal -2 binary64)) (/.f64 (/.f64 x (+.f64 y y)) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y y) y) (/.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 y y) #s(literal 2 binary64)) (/.f64 (/.f64 x (+.f64 y y)) y))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) y) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 y y))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y y)) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (/.f64 x y) (+.f64 y y)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x (+.f64 y y)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y y)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y y)) y))
(*.f64 (/.f64 x (+.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (+.f64 y y))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 y y))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))) (+.f64 y y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x)) (+.f64 y y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 y y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 y y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (+.f64 y y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 y y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (+.f64 y y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) y)
(/.f64 (*.f64 (/.f64 x (+.f64 y y)) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 x (+.f64 y y))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (/.f64 (*.f64 y (/.f64 x (+.f64 y y))) (+.f64 y y)) (/.f64 (*.f64 y (/.f64 x (+.f64 y y))) (+.f64 y y)))
(+.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) (+.f64 y y)) (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) (+.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) y)
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 y y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
x
y
(*.f64 (/.f64 (+.f64 y y) (*.f64 (+.f64 y y) #s(literal 2 binary64))) (/.f64 (+.f64 y x) y))
(*.f64 (/.f64 (+.f64 y y) (*.f64 y y)) (/.f64 (+.f64 y x) #s(literal 4 binary64)))
(*.f64 (/.f64 (+.f64 y y) #s(literal 4 binary64)) (/.f64 (+.f64 y x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 y y) y) (/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) (+.f64 y y))))
(*.f64 (/.f64 (+.f64 y y) (fabs.f64 (+.f64 y y))) (/.f64 (+.f64 y x) (fabs.f64 (+.f64 y y))))
(*.f64 (/.f64 (+.f64 y y) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (*.f64 (+.f64 y y) y)))
(*.f64 (/.f64 (+.f64 y y) (*.f64 (+.f64 y y) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (+.f64 y y))))
(*.f64 (/.f64 (+.f64 y y) (+.f64 y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 y) x) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (+.f64 y x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (+.f64 y x) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 y x) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (+.f64 y y) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/4 binary64)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 y) x) y))
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(+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y y) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 y y) #s(literal 1 binary64)) (*.f64 (+.f64 y y) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 y y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (+.f64 y y)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 y y)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 y y)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 y y))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y y)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (+.f64 y y))))
(+.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (neg.f64 x) (+.f64 y y)) (*.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y))))
(+.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 y y) (neg.f64 x)) (*.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y))))
(+.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 y y))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) (+.f64 y y)) (*.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 y y))) (/.f64 (*.f64 (+.f64 y y) (neg.f64 y)) (*.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y (*.f64 y y))) (*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 y (+.f64 y y)) (/.f64 x (+.f64 y y)))
(+.f64 (/.f64 x (+.f64 y y)) (/.f64 y (+.f64 y y)))
(+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 y y)))

eval147.0ms (11.3%)

Memory
6.4MiB live, 378.9MiB allocated; 87ms collecting garbage
Compiler

Compiled 23 646 to 2 775 computations (88.3% saved)

prune69.0ms (5.3%)

Memory
-0.1MiB live, 80.4MiB allocated; 41ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1 32011 321
Fresh000
Picked123
Done000
Total1 32131 324
Accuracy
100.0%
Counts
1 324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
44.5%
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
56.2%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series7.0ms (0.5%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03184
Stop Event
iter-limit
Counts
5 → 8
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
x
(+.f64 y y)
y
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (/ x (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) y))
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx y y)
Calls

6 calls:

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

rewrite88.0ms (6.8%)

Memory
-18.3MiB live, 134.4MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
01023
12723
211123
367323
0424123
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 66
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
x
(+.f64 y y)
y
Outputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 y) y))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 y y))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) y) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 y y) x) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 y y) x) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 y y)) #s(literal -2 binary64)) (/.f64 (+.f64 y y) (neg.f64 y)))
(*.f64 (/.f64 (/.f64 x (+.f64 y y)) y) (/.f64 (+.f64 y y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)) (/.f64 (+.f64 y y) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y y) y) (/.f64 (/.f64 x (+.f64 y y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 y y) #s(literal -2 binary64)) (/.f64 (/.f64 x (+.f64 y y)) (neg.f64 y)))
(*.f64 (/.f64 (+.f64 y y) #s(literal 2 binary64)) (/.f64 (/.f64 x (+.f64 y y)) y))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) y) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 y y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (+.f64 y y))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 x (+.f64 y y))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (/.f64 (*.f64 y (/.f64 x (+.f64 y y))) (+.f64 y y)) (/.f64 (*.f64 y (/.f64 x (+.f64 y y))) (+.f64 y y)))
(+.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) (+.f64 y y)) (/.f64 (*.f64 (/.f64 x (+.f64 y y)) y) (+.f64 y y)))
x
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 #s(literal 1 binary64) y)))
(-.f64 y (neg.f64 y))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(+.f64 y y)
y

eval6.0ms (0.5%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 157 to 235 computations (79.7% saved)

prune3.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done022
Total68371
Accuracy
100.0%
Counts
71 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
44.5%
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
56.2%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes17.0ms (1.3%)

Memory
-3.1MiB live, 41.5MiB allocated; 5ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 3
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Call 2
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
Call 3
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

9 calls:

5.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
56.2%1x
56.2%1y
56.2%1(/.f64 (+.f64 x y) (+.f64 y y))
97.5%3(/.f64 (+.f64 x y) (+.f64 y y))
76.4%3x
78.0%3y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 75 to 43 computations (42.7% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5000000000425083
151083.59586152114
0.0ms
-1.2426852147572796
0.49267203384915115
Compiler

Compiled 10 to 10 computations (0% saved)

derivations50.0ms (3.8%)

Memory
-6.4MiB live, 43.6MiB allocated; 19ms collecting garbage
Stop Event
done
Compiler

Compiled 70 to 20 computations (71.4% saved)

preprocess22.0ms (1.7%)

Memory
9.1MiB live, 54.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 77 to 25 computations (67.5% saved)

end0.0ms (0%)

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

Profiling

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