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

Time bar (total: 1.2s)

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
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample980.0ms (83.9%)

Results
512.0ms6150×0valid
169.0ms2106×0infinite
Precisions
Click to see histograms. Total time spent on operations: 334.0ms
ival-mult: 219.0ms (65.6% of total)
ival-add: 105.0ms (31.4% of total)
const: 7.0ms (2.1% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess72.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
254×fma-neg
174×fma-define
54×unsub-neg
41×sub-neg
35×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023205
162176
2172176
3469176
4782176
51034176
61105176
71115176
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)

explain56.0ms (4.8%)

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)
Results
25.0ms382×256valid
7.0ms130×256infinite
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (45.9% of total)
ival-mult: 5.0ms (45.9% of total)
const: 0.0ms (0% of total)

eval1.0ms (0.1%)

Compiler

Compiled 26 to 12 computations (53.8% saved)

prune3.0ms (0.2%)

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)

localize21.0ms (1.8%)

Results
12.0ms191×256valid
4.0ms65×256infinite
Compiler

Compiled 20 to 6 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 4.0ms (65.1% of total)
ival-mult: 2.0ms (32.5% of total)
const: 0.0ms (0% of total)

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 (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
11231
Stop Event
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))

soundness0.0ms (0%)

Stop Event
1×done
Compiler

Compiled 9 to 5 computations (44.4% saved)

preprocess32.0ms (2.7%)

Remove

(abs x)

Compiler

Compiled 90 to 50 computations (44.4% saved)

end0.0ms (0%)

Profiling

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