sqrt A (should all be same)

Time bar (total: 1.7s)

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 10 to 5 computations (50% saved)

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

sample1.4s (80.1%)

Results
903.0ms8254×256valid
0.0ms2×256infinite
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
Operation ival-sqrt, time spent: 170.0ms, 47.0% of total-time
Operation ival-mult, time spent: 129.0ms, 36.0% of total-time
Operation ival-add, time spent: 55.0ms, 15.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess173.0ms (9.9%)

Algorithm
1×egg-herbie
Rules
56×fma-define
40×fma-neg
20×associate-*r*
15×distribute-lft-neg-in
13×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-3(2.8634265388009485e-157)(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
00-0-x
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
13656
28256
319756
430256
536256
636456
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x)))))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))
(hypot.f64 x x)
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (hypot.f64 x x))
Symmetry

(abs x)

Results
45.0ms512×256valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 5.0ms, 38.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 38.0% of total-time
Operation ival-add, time spent: 3.0ms, 23.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 4 to 2 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(hypot.f64 x x)
Compiler

Compiled 4 to 2 computations (50% saved)

localize30.0ms (1.7%)

Results
23.0ms256×256valid
Compiler

Compiled 6 to 3 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation composed, time spent: 10.0ms, 51.0% of total-time
Operation ival-mult, time spent: 4.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 20.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 0.0ms, 0.0% 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
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
Compiler

Compiled 16 to 7 computations (56.3% saved)

regimes6.0ms (0.3%)

Accuracy

Total -30.9b remaining (-∞%)

Threshold costs -30.9b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(hypot.f64 x x)
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(hypot.f64 x x)
Calls

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
1.0ms
(*.f64 x x)
1.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
(hypot.f64 x x)
Compiler

Compiled 4 to 2 computations (50% saved)

soundness24.0ms (1.4%)

Rules
56×fma-define
40×fma-neg
20×associate-*r*
15×distribute-lft-neg-in
13×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
13656
28256
319756
430256
536256
636456
Stop Event
1×saturated
Compiler

Compiled 12 to 5 computations (58.3% saved)

end0.0ms (0%)

preprocess111.0ms (6.3%)

Remove

(abs x)

Compiler

Compiled 42 to 20 computations (52.4% saved)

Profiling

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