sqrt sqr

Time bar (total: 4.8s)

analyze5.0ms (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)

sample4.6s (95.8%)

Results
3.2s4123×body2048valid
1.4s4133×body256valid
Bogosity

preprocess50.0ms (1%)

Algorithm
1×egg-herbie
Rules
446×fma-def
140×div-sub
126×fma-neg
124×times-frac
104×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01873
15755
211951
324651
450551
580551
698451
7108951
8110351
9111551
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)))))
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 (neg.f64 x)) (fabs.f64 x)))
(-.f64 1 (/.f64 (fabs.f64 x) (neg.f64 x)))
(+.f64 (/.f64 (fabs.f64 x) x) 1)
Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (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))
▶100.0%
(-.f64 1 (/.f64 (fabs.f64 x) x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.4%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

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 (0.1%)

Accuracy

Total -31.7b remaining (-∞%)

Threshold costs -31.7b (-∞%)

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
x
2.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (/.f64 x x) (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 34 to 21 computations (38.2% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11217
21817
32217
42517
52617
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)

soundness81.0ms (1.7%)

Rules
446×fma-def
140×div-sub
126×fma-neg
124×times-frac
104×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01873
15755
211951
324651
450551
580551
698451
7108951
8110351
9111551
Stop Event
1×saturated
Compiler

Compiled 129 to 54 computations (58.1% saved)

end0.0ms (0%)

preprocess32.0ms (0.7%)

Compiler

Compiled 54 to 38 computations (29.6% saved)

Profiling

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