Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, B

Time bar (total: 1.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze291.0ms (19.1%)

Memory
3.3MiB live, 129.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
18.8%18.7%81%0.3%0%0%0%11
28.1%28%71.7%0.3%0%0%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample27.0ms (1.8%)

Memory
2.8MiB live, 10.2MiB allocated
Samples
18.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.7% of total)
ival-add: 3.0ms (27.5% of total)
ival-mult: 3.0ms (27.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain1.1s (73.8%)

Memory
3.7MiB live, 890.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
470-0-(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))
300-0-(/.f64 (*.f64 y b) t)
150-1(5.226161381702409e-231 -3.5781097076021442e-28 5.06035785222914e-287 -3.319344915340017e-87 -4.028442066419897e-10 -3.226619881736754e+59)(/.f64 (*.f64 y z) t)
00-0-a
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-(+.f64 x (/.f64 (*.f64 y z) t))
00-0-(+.f64 a #s(literal 1 binary64))
00-0-(*.f64 y b)
00-0-y
00-0-(+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t))
00-0-(*.f64 y z)
00-0-b
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 y b) t)o/n190
(*.f64 y b)overflow35
/.f64(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))o/o180
(/.f64 (*.f64 y z) t)overflow44
(+.f64 x (/.f64 (*.f64 y z) t))overflow44
(*.f64 y z)overflow31
(+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t))overflow38
(*.f64 y b)overflow35
(/.f64 (*.f64 y b) t)overflow38
/.f64(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))o/n150
(/.f64 (*.f64 y z) t)overflow44
(+.f64 x (/.f64 (*.f64 y z) t))overflow44
(*.f64 y z)overflow31
/.f64(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))n/o140
(+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t))overflow38
(*.f64 y b)overflow35
(/.f64 (*.f64 y b) t)overflow38
/.f64(/.f64 (*.f64 y z) t)o/n80
(*.f64 y z)overflow31
/.f64(/.f64 (*.f64 y z) t)u/n20
(*.f64 y z)underflow22
Confusion
Predicted +Predicted -
+660
-5185
Precision
0.9295774647887324
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-50185
Precision?
0.9295774647887324
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0185
166
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
7.665771484375
Average Time
0.029944419860839844
Samples
249.0ms3 072×0valid
Compiler

Compiled 2 352 to 744 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-div: 52.0ms (39.3% of total)
ival-mult: 38.0ms (28.8% of total)
ival-add: 37.0ms (28% of total)
ival-true: 2.0ms (1.5% of total)
exact: 2.0ms (1.5% of total)
ival-assert: 1.0ms (0.8% of total)

preprocess50.0ms (3.3%)

Memory
0.9MiB live, 8.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132479
1335461
2615459
31093459
42842459
56653459
01517
02317
13617
24817
35217
05215
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))
Outputs
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))
(/.f64 (fma.f64 (/.f64 y t) z x) (fma.f64 (/.f64 y t) b (+.f64 #s(literal 1 binary64) a)))
Compiler

Compiled 17 to 15 computations (11.8% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))
Compiler

Compiled 34 to 30 computations (11.8% saved)

simplify27.0ms (1.8%)

Memory
-6.6MiB live, 18.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12317
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))
Outputs
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 y b) t)))
(/.f64 (+.f64 (/.f64 (*.f64 z y) t) x) (+.f64 (/.f64 (*.f64 b y) t) (+.f64 #s(literal 1 binary64) a)))

soundness0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
fuel
Compiler

Compiled 17 to 15 computations (11.8% saved)

preprocess4.0ms (0.2%)

Memory
2.8MiB live, 2.8MiB allocated
Compiler

Compiled 174 to 106 computations (39.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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