Maksimov and Kolovsky, Equation (32)

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×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)

sample40.0ms (1.4%)

Memory
6.3MiB live, 15.0MiB allocated
Samples
26.0ms249×0valid
3.0ms11×1valid
Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 5.0ms (23.3% of total)
ival-div: 3.0ms (14% of total)
ival-mult: 3.0ms (14% of total)
ival-cos: 2.0ms (9.3% of total)
ival-pow2: 2.0ms (9.3% of total)
adjust: 1.0ms (4.7% of total)
ival-exp: 1.0ms (4.7% of total)
ival-neg: 1.0ms (4.7% of total)
ival-add: 1.0ms (4.7% of total)
ival-fabs: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain2.6s (91.9%)

Memory
15.3MiB live, 1 739.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
17335(8.415961630530607e-243 8.986600433454819e+97 4.981343361031627e+57 9.229095822736426e+59 -3.4352482437976457e+62)0-(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
00-0-(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
00-0-K
00-0-(/.f64 (+.f64 m n) #s(literal 2 binary64))
031(71471270.65590818 -2.5729715187803022e-80 6.43784227746581e+132 9.344992510620137e+129 8.076224660986306e+218)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)))
011(-2.6662111418750173e+59 45528460.83233425 4.365353014125871e-83 2.6105126666458716e-275 1.8063410594926513e-71)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)))))
054(4.7862107233099005e+300 2.8933852138004796e+194 6.857728406956156e-10 -1.0629154302205999e+160 3.40440114905859e+26)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))))))
05(-2.832950264276947e+39 -6.913888527212054e+71 -2.683639472102592e+81 8.222174045636352e+108 3.4596944160375124e-112)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)
046(8.415961630530607e-243 8.986600433454819e+97 4.981343361031627e+57 9.229095822736426e+59 -3.4352482437976457e+62)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))sensitivity2080
*.f64(*.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))))))n*u530
-.f64(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)cancellation370
-.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))))cancellation110
-.f64(-.f64 l (fabs.f64 (-.f64 m n)))cancellation110
-.f64(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)cancellation50
*.f64(*.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))))))n*o10
Confusion
Predicted +Predicted -
+620
-15836
Precision
0.2818181818181818
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-158036
Precision?
0.2818181818181818
Recall?
1.0
Freqs
test
numberfreq
036
1132
270
318
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
16.5107421875
Average Time
0.06449508666992188
Samples
775.0ms2 484×1valid
73.0ms588×0valid
Compiler

Compiled 5 700 to 1 032 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 633.0ms
adjust: 168.0ms (26.5% of total)
ival-sub: 103.0ms (16.3% of total)
ival-cos: 97.0ms (15.3% of total)
ival-div: 64.0ms (10.1% of total)
ival-mult: 61.0ms (9.6% of total)
ival-pow2: 47.0ms (7.4% of total)
ival-add: 31.0ms (4.9% of total)
ival-neg: 19.0ms (3% of total)
ival-fabs: 19.0ms (3% of total)
ival-exp: 18.0ms (2.8% of total)
ival-true: 2.0ms (0.3% of total)
exact: 2.0ms (0.3% of total)
ival-assert: 1.0ms (0.2% of total)

preprocess137.0ms (4.9%)

Memory
-3.9MiB live, 34.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209597
1575589
21511565
35225565
02129
03629
16729
213428
337628
4130728
5468228
0852227
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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
76.1%
(*.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)

simplify46.0ms (1.6%)

Memory
-2.5MiB live, 18.8MiB allocated
Algorithm
1×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
1×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
1×fuel
Compiler

Compiled 28 to 20 computations (28.6% saved)

preprocess3.0ms (0.1%)

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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