Maksimov and Kolovsky, Equation (32)

Time bar (total: 14.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 31 to 23 computations (25.8% saved)

sample41.0ms (0.3%)

Memory
7.5MiB live, 15.0MiB allocated
Samples
26.0ms243×0valid
4.0ms17×1valid
Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 6.0ms (26% of total)
ival-div: 3.0ms (13% of total)
ival-mult: 3.0ms (13% of total)
ival-exp: 2.0ms (8.7% of total)
ival-pow2: 2.0ms (8.7% of total)
ival-cos: 2.0ms (8.7% of total)
ival-add: 1.0ms (4.3% of total)
adjust: 1.0ms (4.3% of total)
ival-neg: 1.0ms (4.3% of total)
ival-fabs: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain14.2s (98.5%)

Memory
38.7MiB live, 6 967.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
17645(-1.0329153852957418e-306 2.1910966044850057e+173 1.5732793186287382e-255 1.4757374809946717e+186 1.7498237397656627e+193)0-(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
10-0-(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
00-0-K
00-0-(/.f64 (+.f64 m n) #s(literal 2 binary64))
00-0-(-.f64 l (fabs.f64 (-.f64 m n)))
00-0-(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
00-0-(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
00-0-(+.f64 m n)
00-0-(fabs.f64 (-.f64 m n))
00-0-m
00-0-(*.f64 K (+.f64 m n))
00-0-n
00-0-(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
00-0-(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
00-0-(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
00-0-(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
00-0-(-.f64 m n)
00-0-(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
00-0-#s(literal 2 binary64)
00-0-l
00-0-M
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))sensitivity1680
cos.f64(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))oflow-rescue530
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))overflow53
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)overflow53
(*.f64 K (+.f64 m n))overflow54
/.f64(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))o/n10
(*.f64 K (+.f64 m n))overflow54
Confusion
Predicted +Predicted -
+700
-15135
Precision
0.3167420814479638
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-151035
Precision?
0.3167420814479638
Recall?
1.0
Freqs
test
numberfreq
035
1220
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
73.157470703125
Average Time
0.28577136993408203
Samples
5.8s19 350×1valid
485.0ms3 690×0valid
Compiler

Compiled 21 465 to 3 960 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.6s
ival-sub: 878.0ms (19% of total)
adjust: 812.0ms (17.6% of total)
ival-cos: 793.0ms (17.2% of total)
ival-div: 498.0ms (10.8% of total)
ival-mult: 481.0ms (10.4% of total)
ival-pow2: 400.0ms (8.7% of total)
ival-add: 209.0ms (4.5% of total)
ival-fabs: 186.0ms (4% of total)
ival-neg: 160.0ms (3.5% of total)
ival-exp: 144.0ms (3.1% of total)
ival-true: 24.0ms (0.5% of total)
exact: 16.0ms (0.3% of total)
ival-assert: 9.0ms (0.2% of total)

preprocess132.0ms (0.9%)

Memory
4.6MiB live, 34.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209597
1575589
21511565
35225565
02129
03629
16729
213428
337628
4130728
5468228
0852227
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
Outputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K M)))
Symmetry

(sort m n)

Compiler

Compiled 29 to 21 computations (27.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
Compiler

Compiled 58 to 42 computations (27.6% saved)

simplify44.0ms (0.3%)

Memory
-8.9MiB live, 18.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02129
13929
26129
38728
411428
513228
617328
731928
849228
950228
1052328
1156228
1262028
1368428
1473628
1577328
1678728
1779328
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
Outputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) M)))

soundness0.0ms (0%)

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

Compiled 28 to 20 computations (28.6% saved)

preprocess3.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Remove

(sort m n)

Compiler

Compiled 226 to 162 computations (28.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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