Cancel like terms

Time bar (total: 676.0ms)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample517.0ms (76.6%)

Memory
49.7MiB live, 520.4MiB allocated
Samples
232.0ms3 775×1valid
136.0ms4 481×0valid
Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-add: 116.0ms (54.6% of total)
ival-sub: 54.0ms (25.4% of total)
adjust: 32.0ms (15.1% of total)
ival-true: 5.0ms (2.4% of total)
...in/eval/compile.rkt:110:19: 3.0ms (1.4% of total)
ival-assert: 2.0ms (0.9% of total)
Bogosity

preprocess45.0ms (6.6%)

Memory
-23.7MiB live, 41.8MiB allocated
Algorithm
egg-herbie
Rules
28×fmm-def
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
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)

explain52.0ms (7.7%)

Memory
3.3MiB live, 64.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1217(1720979541.9264135)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)cancellation1280
Confusion
Predicted +Predicted -
+1210
-7128
Precision
0.9453125
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12100
-70128
Precision?
0.9453125
Recall?
1.0
Freqs
test
numberfreq
0128
1128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
12.0ms230×1valid
8.0ms282×0valid
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (42.4% of total)
ival-sub: 3.0ms (31.8% of total)
adjust: 2.0ms (21.2% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0.1%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(literal 1 binary64)
Compiler

Compiled 2 to 2 computations (0% saved)

simplify6.0ms (0.8%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

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

localize6.0ms (0.8%)

Memory
7.4MiB live, 7.4MiB allocated
Samples
3.0ms256×0valid
Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
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%)

Memory
4.5MiB live, 4.5MiB allocated
Accuracy

Total -29.3b remaining (-∞%)

Threshold costs -29.3b (-∞%)

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%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

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

soundness17.0ms (2.6%)

Memory
-17.0MiB live, 13.5MiB allocated
Rules
28×fmm-def
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
done
saturated
Compiler

Compiled 17 to 10 computations (41.2% saved)

preprocess26.0ms (3.9%)

Memory
-2.2MiB live, 38.0MiB allocated
Remove

(abs x)

Compiler

Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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