Data.Number.Erf:$dmerfcx from erf-2.0.0.0

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 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-exp, 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

sample1.0s (82.2%)

Results
574.0ms4236×256valid
400.0ms4019×256infinite
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 280.0ms
Operation ival-mult, time spent: 207.0ms, 74.0% of total-time
Operation ival-exp, time spent: 63.0ms, 22.0% of total-time
Operation const, time spent: 11.0ms, 4.0% of total-time
Bogosity

preprocess149.0ms (12%)

Algorithm
1×egg-herbie
Rules
157×fma-define
55×fmm-def
44×exp-prod
33×distribute-lft-neg-in
32×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x (exp.f64 (*.f64 y y)))
00-0-x
00-0-(*.f64 y y)
00-0-(exp.f64 (*.f64 y y))
00-0-y
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022190
155190
2105190
3223190
4406190
5641190
6785190
7834190
8888190
9899190
10911190
11916190
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 (neg.f64 x) (exp.f64 (*.f64 y y)))
(*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (neg.f64 x) (exp.f64 (*.f64 y y))))
(neg.f64 (*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y)))))
(*.f64 y (exp.f64 (*.f64 x x)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (exp.f64 (*.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 (neg.f64 x) (exp.f64 (*.f64 y y)))
(*.f64 x (neg.f64 (pow.f64 (exp.f64 y) y)))
(*.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))
(*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(neg.f64 (*.f64 (neg.f64 x) (exp.f64 (*.f64 y y))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(neg.f64 (*.f64 x (exp.f64 (*.f64 (neg.f64 y) (neg.f64 y)))))
(*.f64 x (neg.f64 (pow.f64 (exp.f64 y) y)))
(*.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))
(*.f64 y (exp.f64 (*.f64 x x)))
(*.f64 y (pow.f64 (exp.f64 x) x))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 8.0ms, 64.0% of total-time
Operation ival-exp, time spent: 4.0ms, 32.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0.1%)

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

Compiled 8 to 5 computations (37.5% saved)

localize32.0ms (2.6%)

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 4.0ms, 63.0% of total-time
Operation ival-exp, time spent: 2.0ms, 32.0% 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)

prune2.0ms (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 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
11226
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 y y)))
Outputs
(*.f64 x (exp.f64 (*.f64 y y)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess35.0ms (2.8%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 112 to 70 computations (37.5% saved)

Profiling

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