Cancel like terms

Time bar (total: 784.0ms)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample610.0ms (77.8%)

Results
263.0ms3871×1valid
189.0ms4385×0valid
Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-add: 137.0ms (54.5% of total)
ival-sub: 61.0ms (24.3% of total)
backward-pass: 40.0ms (15.9% of total)
const: 13.0ms (5.2% of total)
Bogosity

preprocess41.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
28×fma-neg
21×sub-neg
13×fma-define
10×distribute-lft-neg-in
10×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01384
1334
2914
31304
41774
52034
62154
72194
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)))
Outputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (-.f64 x x))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (-.f64 x x))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 x x))
#s(literal 1 binary64)
(neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
#s(literal -1 binary64)
Symmetry

(abs x)

explain74.0ms (9.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1352(1389.2975275119354)0-(-.f64 (+.f64 #s(literal 1 binary64) x) x)
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (+.f64 #s(literal 1 binary64) x) x)cancellation1370
Confusion
Predicted +Predicted -
+1350
-2119
Precision
0.9854014598540146
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13500
-20119
Precision?
0.9854014598540146
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
25.0ms266×1valid
10.0ms246×0valid
Compiler

Compiled 36 to 18 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
backward-pass: 6.0ms (37.7% of total)
ival-add: 5.0ms (31.4% of total)
ival-sub: 4.0ms (25.1% of total)
const: 1.0ms (6.3% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(literal 1 binary64)
Compiler

Compiled 2 to 2 computations (0% saved)

simplify5.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
181
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)

localize11.0ms (1.4%)

Results
4.0ms256×0valid
Compiler

Compiled 3 to 3 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 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%
#s(literal 1 binary64)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0.4%)

Accuracy

Total -32.7b remaining (-∞%)

Threshold costs -32.7b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (+.f64 #s(literal 1 binary64) x) x)
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
181
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)

soundness19.0ms (2.4%)

Rules
28×fma-neg
21×sub-neg
13×fma-define
10×distribute-lft-neg-in
10×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01384
1334
2914
31304
41774
52034
62154
72194
Stop Event
1×done
1×saturated
Compiler

Compiled 17 to 10 computations (41.2% saved)

preprocess18.0ms (2.3%)

Remove

(abs x)

Compiler

Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

Profiling

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