Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

Time bar (total: 1.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze283.0ms (15.6%)

Memory
7.9MiB live, 110.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample89.0ms (4.9%)

Memory
-5.2MiB live, 34.2MiB allocated
Samples
39.0ms469×0invalid
22.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (42.5% of total)
ival-div: 14.0ms (33% of total)
ival-sqrt: 5.0ms (11.8% of total)
ival-acos: 4.0ms (9.4% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain1.3s (72%)

Memory
6.6MiB live, 1 074.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-3(1.39108332361998e-243 -7.601115518305255e+73 1.1177644471446726e-286 1.7306993997909808e-239)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
150-2(-2.155596311546236e-212 1.573675833419805e-31 2.074963520662339e+128 9.234697752692315e+293)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n210
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow58
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow58
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u130
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o10
(*.f64 y #s(literal 27 binary64))overflow1
Confusion
Predicted +Predicted -
+10
-34221
Precision
0.02857142857142857
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-340221
Precision?
0.02857142857142857
Recall?
1.0
Freqs
test
numberfreq
0221
135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
6.416259765625
Average Time
0.025063514709472656
Samples
302.0ms3 072×0valid
Compiler

Compiled 3 492 to 888 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 76.0ms (41.1% of total)
ival-div: 58.0ms (31.4% of total)
ival-acos: 23.0ms (12.4% of total)
ival-sqrt: 19.0ms (10.3% of total)
exact: 5.0ms (2.7% of total)
ival-true: 2.0ms (1.1% of total)
adjust: 1.0ms (0.5% of total)
ival-assert: 1.0ms (0.5% of total)

preprocess109.0ms (6%)

Memory
4.5MiB live, 12.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089246
1275212
2967184
33633184
44322184
55222184
66504184
01817
02917
14915
212713
339413
4140113
5310013
6319013
7324113
8324113
9324113
10384013
11387913
12387913
0387913
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64))
Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 38 to 36 computations (5.3% saved)

simplify23.0ms (1.3%)

Memory
-6.3MiB live, 18.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
12619
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

soundness0.0ms (0%)

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

Compiled 19 to 18 computations (5.3% saved)

preprocess4.0ms (0.2%)

Memory
2.8MiB live, 2.8MiB allocated
Remove

(sort y z)

Compiler

Compiled 186 to 176 computations (5.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...