x / (x^2 + 1)

Time bar (total: 1.8s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 6 computations (33.3% 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 const, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

sample883.0ms (50.1%)

Results
834.0ms8255×0valid
0.0ms1×0valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
Operation ival-add, time spent: 161.0ms, 49.0% of total-time
Operation ival-div, time spent: 77.0ms, 23.0% of total-time
Operation ival-mult, time spent: 74.0ms, 22.0% of total-time
Operation const, time spent: 17.0ms, 5.0% of total-time
Bogosity

preprocess409.0ms (23.2%)

Algorithm
1×egg-herbie
Rules
1824×fma-neg
1756×cube-prod
1366×div-sub
958×times-frac
744×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 (*.f64 x x) 1)
00-0-(*.f64 x x)
00-0-(/.f64 x (+.f64 (*.f64 x x) 1))
00-0-1
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
015100
137100
265100
3128100
429997
596197
6228597
7514197
8595397
9722597
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))
(neg.f64 (/.f64 x (fma.f64 x x 1)))
(/.f64 (neg.f64 x) (fma.f64 x x 1))
(/.f64 1 (-.f64 (/.f64 -1 x) x))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))
(/.f64 x (fma.f64 x x 1))
Symmetry

(negabs x)

Compiler

Compiled 46 to 23 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
Operation ival-add, time spent: 106.0ms, 63.0% of total-time
Operation ival-mult, time spent: 27.0ms, 16.0% of total-time
Operation ival-div, time spent: 26.0ms, 16.0% of total-time
Operation const, time spent: 10.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize436.0ms (24.7%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
Operation ival-add, time spent: 49.0ms, 62.0% of total-time
Operation ival-div, time spent: 13.0ms, 16.0% of total-time
Operation ival-mult, time spent: 13.0ms, 16.0% of total-time
Operation const, time spent: 5.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
78.4%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓78.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
11628
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (1.7%)

Remove

(negabs x)

Compiler

Compiled 80 to 52 computations (35% saved)

Profiling

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