Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

Time bar (total: 1.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
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 7 to 7 computations (0% saved)

sample857.0ms (82.6%)

Memory
-26.9MiB live, 698.6MiB allocated; 439ms collecting garbage
Samples
323.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-div: 68.0ms (57.4% of total)
ival-sub: 40.0ms (33.8% of total)
exact: 6.0ms (5.1% of total)
ival-assert: 3.0ms (2.5% of total)
adjust: 2.0ms (1.7% of total)
Bogosity

explain55.0ms (5.3%)

Memory
0.3MiB live, 89.1MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 x (/.f64 y #s(literal 4 binary64)))
00-0-y
00-0-(/.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (56.2% of total)
ival-sub: 2.0ms (28.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess14.0ms (1.3%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
11534
21834
055
075
075
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

series4.0ms (0.4%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
5 → 11
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
Outputs
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1/4 y)))
#s(approx (- x (/ y 4)) #s(hole binary64 (- x (* 1/4 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 (* x (+ 1 (* -1/4 (/ y x))))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ y x)) 1)))))
#s(approx (- x (/ y 4)) #s(hole binary64 (+ x (* -1/4 y))))
#s(approx (/ y 4) #s(hole binary64 (* 1/4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y 4)) #s(hole binary64 (* y (- (/ x y) 1/4))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* y (+ 1/4 (* -1 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((- x (/ y 4)) x (/ y 4) y 4)
1.0ms
y
@-inf
((- x (/ y 4)) x (/ y 4) y 4)
1.0ms
x
@-inf
((- x (/ y 4)) x (/ y 4) y 4)
0.0ms
x
@inf
((- x (/ y 4)) x (/ y 4) y 4)
0.0ms
y
@0
((- x (/ y 4)) x (/ y 4) y 4)

rewrite75.0ms (7.3%)

Memory
6.5MiB live, 100.8MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041124
043121
1173120
01342116
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 26
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1/4 y)))
#s(approx (- x (/ y 4)) #s(hole binary64 (- x (* 1/4 y))))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 x))
#s(approx (- x (/ y 4)) #s(hole binary64 (* x (+ 1 (* -1/4 (/ y x))))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ y x)) 1)))))
#s(approx (- x (/ y 4)) #s(hole binary64 (+ x (* -1/4 y))))
#s(approx (/ y 4) #s(hole binary64 (* 1/4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- x (/ y 4)) #s(hole binary64 (* y (- (/ x y) 1/4))))
#s(approx (- x (/ y 4)) #s(hole binary64 (* -1 (* y (+ 1/4 (* -1 (/ x y)))))))
Outputs
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (-.f64 x (/.f64 y #s(literal 4 binary64))))) (neg.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (fma.f64 (/.f64 y #s(literal 4 binary64)) x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 x (/.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 x x (fma.f64 (/.f64 y #s(literal 4 binary64)) x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (-.f64 x (/.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x (fma.f64 (/.f64 y #s(literal 4 binary64)) x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 x (/.f64 y #s(literal 4 binary64)))) (fma.f64 x x (fma.f64 (/.f64 y #s(literal 4 binary64)) x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y #s(literal 4 binary64)) x)) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (/.f64 y #s(literal 4 binary64)) x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (/.f64 y #s(literal 4 binary64)) x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))))))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) y)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) y) #s(literal -4 binary64))
(/.f64 y #s(literal 4 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 4 binary64)))
(neg.f64 (/.f64 y #s(literal -4 binary64)))
y
#s(literal 4 binary64)
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx x x)
#s(approx (- x (/ y 4)) x)
#s(approx (- x (/ y 4)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) x))
#s(approx (- x (/ y 4)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y))
#s(approx y y)
#s(approx (- x (/ y 4)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1/4 binary64)) y))
#s(approx (- x (/ y 4)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1/4 binary64)) y) #s(literal -1 binary64)))

eval3.0ms (0.3%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 328 to 81 computations (75.3% saved)

prune11.0ms (1%)

Memory
-35.9MiB live, 10.0MiB allocated; 4ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New25025
Fresh000
Picked011
Done000
Total25126
Accuracy
100.0%
Counts
26 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Compiler

Compiled 10 to 10 computations (0% saved)

simplify10.0ms (0.9%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
2165
3235
4255
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))

derivations0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 5 to 5 computations (0% saved)

preprocess9.0ms (0.9%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

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

Profiling

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