FastMath dist

Time bar (total: 1.2s)

analyze0.0ms (0%)

Algorithm
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 11 to 7 computations (36.4% 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

sample900.0ms (74.1%)

Results
535.0ms6611×256valid
133.0ms1644×256infinite
0.0ms256infinite
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
Operation ival-mult, time spent: 151.0ms, 71.0% of total-time
Operation ival-add, time spent: 54.0ms, 25.0% of total-time
Operation const, time spent: 9.0ms, 4.0% of total-time
Bogosity

preprocess154.0ms (12.7%)

Algorithm
egg-herbie
Rules
658×fma-define
536×fma-neg
158×unsub-neg
138×associate-*l*
120×associate-*r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
00-0-(*.f64 d1 d3)
00-0-(*.f64 d1 d2)
00-0-d3
00-0-d1
00-0-d2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033262
192250
2224246
3543246
41018246
51573246
61676246
71678246
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
(+.f64 (*.f64 (neg.f64 d1) d2) (*.f64 (neg.f64 d1) d3))
(+.f64 (*.f64 d1 (neg.f64 d2)) (*.f64 d1 d3))
(+.f64 (*.f64 d1 d2) (*.f64 d1 (neg.f64 d3)))
(neg.f64 (+.f64 (*.f64 (neg.f64 d1) d2) (*.f64 (neg.f64 d1) d3)))
(neg.f64 (+.f64 (*.f64 d1 (neg.f64 d2)) (*.f64 d1 d3)))
(neg.f64 (+.f64 (*.f64 d1 d2) (*.f64 d1 (neg.f64 d3))))
(+.f64 (*.f64 d2 d1) (*.f64 d2 d3))
(+.f64 (*.f64 d3 d2) (*.f64 d3 d1))
(+.f64 (*.f64 d1 d3) (*.f64 d1 d2))
Outputs
(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
(*.f64 d1 (+.f64 d2 d3))
(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
(*.f64 d1 (+.f64 d2 d3))
(+.f64 (*.f64 (neg.f64 d1) d2) (*.f64 (neg.f64 d1) d3))
(*.f64 (neg.f64 d1) (+.f64 d2 d3))
(*.f64 d1 (-.f64 (neg.f64 d2) d3))
(+.f64 (*.f64 d1 (neg.f64 d2)) (*.f64 d1 d3))
(*.f64 d1 (+.f64 (neg.f64 d2) d3))
(*.f64 d1 (fma.f64 -1 d2 d3))
(*.f64 d1 (-.f64 d3 d2))
(+.f64 (*.f64 d1 d2) (*.f64 d1 (neg.f64 d3)))
(*.f64 d1 (+.f64 d2 (neg.f64 d3)))
(*.f64 d1 (-.f64 d2 d3))
(neg.f64 (+.f64 (*.f64 (neg.f64 d1) d2) (*.f64 (neg.f64 d1) d3)))
(*.f64 d1 (+.f64 d2 d3))
(neg.f64 (+.f64 (*.f64 d1 (neg.f64 d2)) (*.f64 d1 d3)))
(*.f64 d1 (+.f64 d2 (neg.f64 d3)))
(*.f64 d1 (-.f64 d2 d3))
(neg.f64 (+.f64 (*.f64 d1 d2) (*.f64 d1 (neg.f64 d3))))
(*.f64 d1 (+.f64 (neg.f64 d2) d3))
(*.f64 d1 (fma.f64 -1 d2 d3))
(*.f64 d1 (-.f64 d3 d2))
(+.f64 (*.f64 d2 d1) (*.f64 d2 d3))
(*.f64 d2 (+.f64 d1 d3))
(+.f64 (*.f64 d3 d2) (*.f64 d3 d1))
(*.f64 d3 (+.f64 d2 d1))
(*.f64 d3 (+.f64 d1 d2))
(+.f64 (*.f64 d1 d3) (*.f64 d1 d2))
(*.f64 d1 (+.f64 d2 d3))
Symmetry

(negabs d1)

(sort d2 d3)

Results
39.0ms406×256valid
10.0ms105×256infinite
0.0ms256infinite
Compiler

Compiled 50 to 20 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 9.0ms, 59.0% of total-time
Operation ival-add, time spent: 5.0ms, 33.0% of total-time
Operation const, time spent: 1.0ms, 7.0% 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 d1 (+.f64 d2 d3))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize31.0ms (2.5%)

Results
17.0ms203×256valid
6.0ms52×256infinite
0.0ms256infinite
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-add, time spent: 3.0ms, 51.0% of total-time
Operation ival-mult, time spent: 2.0ms, 34.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 3 to 3 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 d1 (+.f64 d2 d3))
Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes12.0ms (1%)

Accuracy

Total -1.3b remaining (-∞%)

Threshold costs -1.3b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 d1 (+.f64 d2 d3))
(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
Outputs
(*.f64 d1 (+.f64 d2 d3))
Calls

4 calls:

4.0ms
d1
3.0ms
d3
3.0ms
d2
3.0ms
(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
Results
AccuracySegmentsBranch
100.0%1d1
100.0%1d2
100.0%1d3
100.0%1(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))
Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11322
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 d1 (+.f64 d2 d3))
Outputs
(*.f64 d1 (+.f64 d2 d3))
Compiler

Compiled 8 to 5 computations (37.5% saved)

soundness79.0ms (6.5%)

Rules
658×fma-define
536×fma-neg
158×unsub-neg
138×associate-*l*
120×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033262
192250
2224246
3543246
41018246
51573246
61676246
71678246
Stop Event
saturated
Compiler

Compiled 15 to 8 computations (46.7% saved)

end0.0ms (0%)

preprocess34.0ms (2.8%)

Remove

(sort d2 d3)

(negabs d1)

Compiler

Compiled 116 to 72 computations (37.9% saved)

Profiling

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