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

Time bar (total: 1.2s)

analyze0.0ms (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
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample888.0ms (73.7%)

Results
646.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 256.0ms
ival-mult: 102.0ms (39.8% of total)
ival-div: 71.0ms (27.7% of total)
ival-add: 65.0ms (25.4% of total)
const: 15.0ms (5.9% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess115.0ms (9.6%)

Algorithm
1×egg-herbie
Rules
148×fma-neg
106×fma-define
27×distribute-lft-neg-in
23×distribute-lft-in
21×distribute-rgt-in
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)

explain75.0ms (6.2%)

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
Results
49.0ms512×256valid
Compiler

Compiled 49 to 33 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (45.1% of total)
ival-mult: 4.0ms (25.8% of total)
ival-add: 3.0ms (19.3% of total)
const: 2.0ms (12.9% 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 #s(literal 1/2 binary64) (+.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize29.0ms (2.4%)

Results
21.0ms256×256valid
Compiler

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (47.5% of total)
ival-mult: 2.0ms (47.5% of total)
const: 0.0ms (0% 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 #s(literal 1/2 binary64) (+.f64 x y))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0.6%)

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:

3.0ms
y
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms
(+.f64 x 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 (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11219
Stop Event
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))

soundness39.0ms (3.2%)

Rules
148×fma-neg
106×fma-define
27×distribute-lft-neg-in
23×distribute-lft-in
21×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 21 to 14 computations (33.3% saved)

preprocess47.0ms (3.9%)

Remove

(sort x y)

Compiler

Compiled 74 to 54 computations (27% saved)

end0.0ms (0%)

Profiling

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