Numeric.Interval.Internal:scale from intervals-0.7.1, B

Time bar (total: 1.1s)

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 8 to 6 computations (25% 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-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample860.0ms (76.7%)

Results
516.0ms7264×256valid
66.0ms992×256infinite
Precisions
Click to see histograms. Total time spent on operations: 157.0ms
Operation ival-mult, time spent: 76.0ms, 48.0% of total-time
Operation ival-div, time spent: 66.0ms, 42.0% of total-time
Operation const, time spent: 14.0ms, 9.0% of total-time
Bogosity

preprocess135.0ms (12%)

Algorithm
1×egg-herbie
Rules
161×fma-define
58×fma-neg
44×distribute-lft-neg-in
30×associate-*l*
27×distribute-rgt-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x y)
00-0-x
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021141
146141
2101133
3215133
4412133
5612133
6642133
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))
(*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
Symmetry

(negabs x)

(negabs y)

(sort x y)

Results
60.0ms444×256valid
5.0ms68×256infinite
Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 6.0ms, 55.0% of total-time
Operation ival-div, time spent: 4.0ms, 37.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% 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)

localize55.0ms (4.9%)

Results
42.0ms222×256valid
3.0ms34×256infinite
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-mult, time spent: 24.0ms, 83.0% of total-time
Operation ival-div, time spent: 5.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 3.0% 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 #s(literal 2 binary64)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.4%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

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

4 calls:

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

Compiled 18 to 12 computations (33.3% 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)))

soundness32.0ms (2.8%)

Rules
161×fma-define
58×fma-neg
44×distribute-lft-neg-in
30×associate-*l*
27×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021141
146141
2101133
3215133
4412133
5612133
6642133
Stop Event
1×done
1×saturated
Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess30.0ms (2.7%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 80 computations (28.6% saved)

end0.0ms (0%)

Profiling

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