FastMath dist

Time bar (total: 950.0ms)

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 11 to 7 computations (36.4% 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)

sample675.0ms (71%)

Results
450.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-mult: 154.0ms (73.7% of total)
ival-add: 44.0ms (21.1% of total)
const: 7.0ms (3.3% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess83.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
329×fma-define
268×fma-neg
79×unsub-neg
69×associate-*l*
60×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033262
192250
2224246
3543246
41018246
51573246
61676246
71678246
Stop Event
1×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 #s(literal -1 binary64) 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 #s(literal -1 binary64) 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)

explain58.0ms (6.1%)

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
Results
36.0ms512×256valid
Compiler

Compiled 50 to 20 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (74.4% of total)
ival-add: 3.0ms (22.3% of total)
const: 0.0ms (0% of total)

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)

localize20.0ms (2.1%)

Results
15.0ms256×256valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (56.9% of total)
ival-mult: 2.0ms (38% of total)
const: 0.0ms (0% of total)

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)

regimes5.0ms (0.5%)

Accuracy

Total -1.2b remaining (-∞%)

Threshold costs -1.2b (-∞%)

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:

1.0ms
d3
1.0ms
d2
1.0ms
d1
1.0ms
(+.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
1×egg-herbie
Rules
1×*-commutative
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

soundness76.0ms (8%)

Rules
329×fma-define
268×fma-neg
79×unsub-neg
69×associate-*l*
60×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 23 to 13 computations (43.5% saved)

preprocess28.0ms (3%)

Remove

(sort d2 d3)

(negabs d1)

Compiler

Compiled 116 to 72 computations (37.9% saved)

end0.0ms (0%)

Profiling

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