Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C

Time bar (total: 1.2s)

analyze13.0ms (1%)

Algorithm
1×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 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-mult, time spent: 2.0ms, 59.0% of total-time
Operation ival-div, time spent: 1.0ms, 29.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample972.0ms (79.9%)

Results
837.0ms7269×256valid
90.0ms986×256infinite
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 177.0ms
Operation ival-div, time spent: 91.0ms, 51.0% of total-time
Operation ival-mult, time spent: 71.0ms, 40.0% of total-time
Operation const, time spent: 15.0ms, 8.0% of total-time
Bogosity

preprocess172.0ms (14.1%)

Algorithm
1×egg-herbie
Rules
1128×fma-define
516×times-frac
330×associate-*l*
318×fma-neg
302×associate-*r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 x (*.f64 y 2))
00-0-(*.f64 y 2)
00-0-y
00-0-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020141
148133
2110133
3337133
41010133
51741133
62336133
72535133
82589133
92669133
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y 2))
(/.f64 x (*.f64 y 2))
(/.f64 (neg.f64 x) (*.f64 y 2))
(/.f64 x (*.f64 (neg.f64 y) 2))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) 2)))
(/.f64 y (*.f64 x 2))
Outputs
(/.f64 x (*.f64 y 2))
(*.f64 x (/.f64 1/2 y))
(/.f64 x (*.f64 y 2))
(*.f64 x (/.f64 1/2 y))
(/.f64 (neg.f64 x) (*.f64 y 2))
(*.f64 -1/2 (/.f64 x y))
(/.f64 x (*.f64 y -2))
(*.f64 x (/.f64 -1/2 y))
(/.f64 x (*.f64 (neg.f64 y) 2))
(/.f64 (neg.f64 x) (*.f64 y 2))
(*.f64 -1/2 (/.f64 x y))
(/.f64 x (*.f64 y -2))
(*.f64 x (/.f64 -1/2 y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y 2)))
(/.f64 x (*.f64 y 2))
(*.f64 x (/.f64 1/2 y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) 2)))
(/.f64 x (*.f64 y 2))
(*.f64 x (/.f64 1/2 y))
(/.f64 y (*.f64 x 2))
(*.f64 (/.f64 y x) 1/2)
(*.f64 y (/.f64 1/2 x))
Symmetry

(negabs x)

(negabs y)

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 7.0ms, 54.0% of total-time
Operation ival-div, time spent: 4.0ms, 31.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 x (*.f64 y 2))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize28.0ms (2.3%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 4.0ms, 62.0% of total-time
Operation ival-div, time spent: 2.0ms, 31.0% of total-time
Operation const, time spent: 1.0ms, 16.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (*.f64 y 2))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11119
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y 2))
Outputs
(/.f64 x (*.f64 y 2))
Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (2.1%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 84 to 60 computations (28.6% saved)

Profiling

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