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

Time bar (total: 1.1s)

analyze13.0ms (1.1%)

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
ival-mult: 2.0ms (63.3% of total)
ival-div: 1.0ms (31.6% of total)
const: 0.0ms (0% of total)

sample843.0ms (74%)

Results
497.0ms7210×0valid
84.0ms1046×0infinite
Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-mult: 80.0ms (47.4% of total)
ival-div: 73.0ms (43.3% of total)
const: 12.0ms (7.1% of total)
backward-pass: 3.0ms (1.8% of total)
Bogosity

preprocess105.0ms (9.2%)

Algorithm
1×egg-herbie
Rules
564×fma-define
258×times-frac
165×associate-*l*
159×fma-neg
151×associate-*r*
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 #s(literal 2 binary64)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(/.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 x (/.f64 #s(literal -1/2 binary64) y))
(/.f64 x (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(/.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 x (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
Symmetry

(negabs x)

(negabs y)

explain77.0ms (6.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
Results
43.0ms456×256valid
4.0ms56×256infinite
Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (61.5% of total)
ival-div: 4.0ms (27.3% of total)
const: 1.0ms (6.8% of total)

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 #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize67.0ms (5.8%)

Results
19.0ms228×256valid
2.0ms28×256infinite
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (61.4% of total)
ival-div: 2.0ms (30.7% of total)
const: 1.0ms (15.4% of total)

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 #s(literal 2 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11119
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))

soundness0.0ms (0%)

Stop Event
1×done
Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess31.0ms (2.7%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 84 to 60 computations (28.6% saved)

end0.0ms (0%)

Profiling

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