Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

Time bar (total: 964.0ms)

start0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 7 to 7 computations (0.0% saved)

sample635.0ms (65.9%)

Memory
-13.4MiB live, 1 283.2MiB allocated; 375ms collecting garbage
Samples
384.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult!: 68.0ms (71.0% of total)
ival-sub!: 27.0ms (28.2% of total)
adjust: 1.0ms (1.0% of total)
Bogosity

preprocess28.0ms (2.9%)

Memory
8.1MiB live, 49.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02253
16653
213653
320753
421053
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
Symmetry

(sort y z)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series17.0ms (1.8%)

Memory
6.3MiB live, 50.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045149
Stop Event
iter-limit
Counts
5 → 13
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
#s(approx (- x (* y z)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
#s(approx (- x (* y z)) (-.f64 x (*.f64 y z)))
#s(approx x x)
#s(approx (- x (* y z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- x (* y z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64)))))
#s(approx (- x (* y z)) (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))))
#s(approx (* y z) (*.f64 y z))
#s(approx y y)
#s(approx (- x (* y z)) (*.f64 y (-.f64 (/.f64 x y) z)))
#s(approx (- x (* y z)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z)))))
#s(approx z z)
#s(approx (- x (* y z)) (*.f64 z (-.f64 (/.f64 x z) y)))
#s(approx (- x (* y z)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y)))))
Calls

9 calls:

TimeVariablePoint
1.0ms
y
-inf
1.0ms
z
-inf
1.0ms
x
-inf
1.0ms
y
inf
1.0ms
z
inf

rewrite259.0ms (26.9%)

Memory
20.2MiB live, 215.5MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
13211
29111
319011
431911
564611
6332411
0446211
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 29
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))) (*.f64 (neg.f64 y) z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (neg.f64 y) z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) x)) x)
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (neg.f64 y) z) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z)) (*.f64 x x)) (-.f64 (*.f64 (neg.f64 y) z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) z) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z))) (-.f64 x (*.f64 (neg.f64 y) z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) z)) (*.f64 x (*.f64 (neg.f64 y) z)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) (*.f64 z y))) (+.f64 x (*.f64 z y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 z y) (*.f64 z y) (*.f64 x (*.f64 z y)))))
(neg.f64 (-.f64 (*.f64 z y) x))
(fma.f64 (neg.f64 z) y x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(fma.f64 y (neg.f64 z) x)
(-.f64 (*.f64 (neg.f64 y) z) (neg.f64 x))
(-.f64 x (*.f64 z y))
(+.f64 (*.f64 (neg.f64 y) z) x)
(+.f64 x (*.f64 (neg.f64 y) z))
x
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 z y)
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 y) z))
y
z

eval4.0ms (0.4%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 483 to 127 computations (73.7% saved)

prune10.0ms (1.1%)

Memory
-46.4MiB live, 5.7MiB allocated; 17ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done000
Total38139
Accuracy
100.0%
Counts
39 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
Compiler

Compiled 10 to 10 computations (0.0% saved)

derivations3.0ms (0.3%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 5 to 5 computations (0.0% saved)

preprocess6.0ms (0.7%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 20 to 20 computations (0.0% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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