Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

Time bar (total: 1.5s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 8 computations (20% saved)

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

sample1.1s (73.7%)

Results
976.0ms8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 292.0ms
Operation ival-mult, time spent: 109.0ms, 37.0% of total-time
Operation ival-add, time spent: 89.0ms, 31.0% of total-time
Operation ival-div, time spent: 75.0ms, 26.0% of total-time
Operation const, time spent: 19.0ms, 7.0% of total-time
Bogosity

preprocess138.0ms (9.4%)

Algorithm
1×egg-herbie
Rules
296×fma-neg
212×fma-define
54×distribute-lft-neg-in
46×distribute-lft-in
42×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x y)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024141
168133
2190133
3344133
4504133
5668133
6696133
7702133
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (neg.f64 y)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y x))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
Symmetry

(sort x y)

Compiler

Compiled 49 to 33 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-div, time spent: 8.0ms, 39.0% of total-time
Operation ival-add, time spent: 5.0ms, 24.0% of total-time
Operation ival-mult, time spent: 5.0ms, 24.0% of total-time
Operation const, time spent: 3.0ms, 15.0% 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 #s(literal 1/2 binary64) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize28.0ms (1.9%)

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-mult, time spent: 4.0ms, 60.0% of total-time
Operation ival-add, time spent: 2.0ms, 30.0% of total-time
Operation const, time spent: 1.0ms, 15.0% 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 #s(literal 1/2 binary64) (+.f64 x y))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.4%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms
(+.f64 x y)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
100.0%1(+.f64 x y)
Compiler

Compiled 20 to 14 computations (30% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11219
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness82.0ms (5.7%)

Rules
296×fma-neg
212×fma-define
54×distribute-lft-neg-in
46×distribute-lft-in
42×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024141
168133
2190133
3344133
4504133
5668133
6696133
7702133
Stop Event
1×saturated
Compiler

Compiled 14 to 9 computations (35.7% saved)

end0.0ms (0%)

preprocess125.0ms (8.6%)

Remove

(sort x y)

Compiler

Compiled 74 to 54 computations (27% saved)

Profiling

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