Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

Time bar (total: 1.3s)

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 10 to 6 computations (40% 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

sample1.1s (84.5%)

Results
863.0ms6167×256valid
220.0ms2088×256infinite
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 188.0ms
Operation ival-add, time spent: 96.0ms, 51.0% of total-time
Operation ival-mult, time spent: 83.0ms, 44.0% of total-time
Operation const, time spent: 9.0ms, 5.0% of total-time
Bogosity

preprocess142.0ms (10.6%)

Algorithm
1×egg-herbie
Rules
248×fmm-def
174×fma-define
42×unsub-neg
41×sub-neg
36×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x x)
00-0-y
00-0-(+.f64 (+.f64 (*.f64 x x) y) y)
00-0-(+.f64 (*.f64 x x) y)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023205
162176
2172176
3469176
4782176
51037176
61108176
71118176
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 y y) x) x)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(-.f64 (-.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal -2 binary64) (*.f64 x x))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y))
(neg.f64 (+.f64 y (fma.f64 x x y)))
(neg.f64 (fma.f64 x x (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(neg.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y)))
(neg.f64 (-.f64 (-.f64 (*.f64 x x) y) y))
(neg.f64 (fma.f64 x x (*.f64 y #s(literal -2 binary64))))
(-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 y y) x) x)
(+.f64 x (fma.f64 y y x))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
Symmetry

(abs x)

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-add, time spent: 6.0ms, 49.0% of total-time
Operation ival-mult, time spent: 6.0ms, 49.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

eval1.0ms (0.1%)

Compiler

Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0.1%)

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

Compiled 9 to 5 computations (44.4% saved)

localize28.0ms (2.1%)

Compiler

Compiled 20 to 6 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-add, time spent: 3.0ms, 55.0% of total-time
Operation ival-mult, time spent: 2.0ms, 37.0% of total-time
Operation const, time spent: 0.0ms, 0.0% 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 (+.f64 (*.f64 x x) y) y)
Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
11231
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (+.f64 (*.f64 x x) y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess32.0ms (2.4%)

Remove

(abs x)

Compiler

Compiled 90 to 50 computations (44.4% saved)

Profiling

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