sqrt sqr

Time bar (total: 4.2s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, 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

sample3.7s (88.3%)

Results
2.7s4132×2048valid
710.0ms4123×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
Operation ival-div, time spent: 837.0ms, 39.0% of total-time
Operation ival-mult, time spent: 569.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 554.0ms, 25.0% of total-time
Operation ival-sub, time spent: 181.0ms, 8.0% of total-time
Operation const, time spent: 32.0ms, 1.0% of total-time
Bogosity

preprocess366.0ms (8.8%)

Algorithm
1×egg-herbie
Rules
170×fma-define
134×fma-neg
44×distribute-lft-neg-in
38×cancel-sign-sub-inv
38×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(sqrt.f64 (*.f64 x x))
00-0-x
00-0-(/.f64 x x)
00-0-(*.f64 x x)
00-0-(/.f64 1 x)
00-0-(*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x)))
00-0-(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021128
16992
214192
325892
441292
553992
657492
758492
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
(-.f64 1 (*.f64 (/.f64 1 x) (fabs.f64 x)))
(-.f64 1 (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
(-.f64 1 (*.f64 (/.f64 1 x) (fabs.f64 x)))
(-.f64 1 (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x)))))
(-.f64 1 (/.f64 (*.f64 1 (fabs.f64 x)) (neg.f64 x)))
(+.f64 1 (/.f64 (fabs.f64 x) x))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (-.f64 1 (/.f64 (*.f64 1 (fabs.f64 x)) (neg.f64 x))))
(-.f64 -1 (/.f64 (fabs.f64 x) x))
Compiler

Compiled 87 to 38 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
Operation ival-div, time spent: 47.0ms, 43.0% of total-time
Operation ival-mult, time spent: 31.0ms, 28.0% of total-time
Operation ival-sqrt, time spent: 20.0ms, 18.0% of total-time
Operation ival-sub, time spent: 7.0ms, 6.0% of total-time
Operation const, time spent: 4.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 1 (/.f64 (fabs.f64 x) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize25.0ms (0.6%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-div, time spent: 2.0ms, 39.0% of total-time
Operation const, time spent: 1.0ms, 20.0% of total-time
Operation ival-sub, time spent: 1.0ms, 20.0% of total-time
Operation ival-fabs, time spent: 1.0ms, 20.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

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 1 (/.f64 (fabs.f64 x) x))
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.2%)

Accuracy

Total -32.8b remaining (-∞%)

Threshold costs -32.8b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
Outputs
(-.f64 1 (/.f64 (fabs.f64 x) x))
Calls

2 calls:

4.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×sub-neg
8×+-commutative
6×*-commutative
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
11723
22523
33123
43623
53823
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (fabs.f64 x) x))
Outputs
(-.f64 1 (/.f64 (fabs.f64 x) x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness51.0ms (1.2%)

Rules
170×fma-define
134×fma-neg
44×distribute-lft-neg-in
38×cancel-sign-sub-inv
38×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021128
16992
214192
325892
441292
553992
657492
758492
Stop Event
1×saturated
Compiler

Compiled 226 to 77 computations (65.9% saved)

end0.0ms (0%)

preprocess32.0ms (0.8%)

Compiler

Compiled 54 to 38 computations (29.6% saved)

Profiling

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