Toniolo and Linder, Equation (13)

Time bar (total: 10.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze489.0ms (4.5%)

Memory
3.6MiB live, 200.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
0%0%99.7%0.3%0%0%0%7
0%0%99.7%0.3%0%0%0%8
0%0%99.7%0.3%0%0%0%9
0%0%97.8%0.3%0%1.9%0%10
0%0%97.4%0.3%0%2.3%0%11
0%0%94.8%0.3%0%4.9%0%12
Compiler

Compiled 30 to 23 computations (23.3% saved)

sample96.0ms (0.9%)

Memory
-2.5MiB live, 35.2MiB allocated
Samples
42.0ms374×0invalid
28.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 23.0ms (46.3% of total)
ival-div: 8.0ms (16.1% of total)
ival-sub: 8.0ms (16.1% of total)
ival-pow2: 6.0ms (12.1% of total)
ival-sqrt: 3.0ms (6% of total)
ival-true: 1.0ms (2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain9.9s (92.3%)

Memory
49.1MiB live, 5 944.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
800-1(2.0539740281120522e-129 -3.1935815871017577e-304 -4.717260563265109e+121 -9.233433324674031e-192 -9.344124095484153e-57 3.624181499204139e-8)(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))
340-2(1.1385574145991582e-238 -4.438214615280127e-83 -6.825103770731656e+111 -1.6555785839711056e+292 1.7106110617325954e+305 -2.6561311627234056e-154)(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))))
330-1(7.238732472657953e+270 -6.765833297045875e-177 6.443906549532828e-264 3.1918162406541767e-159 2.9444932356317297e-235 -1.193530771009389e+253)(/.f64 (*.f64 l l) Om)
290-0-(-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))
260-1(3.0863540622615555e+192 -1.2019945112419506e-42 -1.2353459899316796e-225 7.755791891771068 4.756228877019633e+162 -1.7015898271058937e-66)(*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))
260-2(-5.132647226741806e-132 -1.1989531193980645e-71 1.7710646472665193e+149 4.767550790121004e-39 -1.6182881821675612e+51 3.539267932298626e+34)(*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))
00-0-Om
00-0-t
00-0-(/.f64 l Om)
00-0-U
00-0-U*
00-0-(-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om)))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) n) U)
00-0-(*.f64 #s(literal 2 binary64) n)
00-0-n
00-0-(pow.f64 (/.f64 l Om) #s(literal 2 binary64))
00-0-(*.f64 l l)
00-0-(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))
00-0-#s(literal 2 binary64)
00-0-(-.f64 U U*)
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))oflow-rescue540
↳(-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om)))overflow53
↳(*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))overflow57
↳(*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))overflow51
↳(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))))overflow86
↳(-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))overflow72
↳(/.f64 (*.f64 l l) Om)overflow53
↳(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))overflow32
↳(*.f64 (*.f64 #s(literal 2 binary64) n) U)overflow14
↳(pow.f64 (/.f64 l Om) #s(literal 2 binary64))overflow54
↳(/.f64 l Om)overflow24
↳(*.f64 l l)overflow63
↳(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))overflow53
-.f64(-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))nan-rescue290
↳(-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om)))overflow53
↳(/.f64 (*.f64 l l) Om)overflow53
↳(*.f64 l l)overflow63
↳(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))overflow53
↳(*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))overflow57
↳(*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))overflow51
↳(pow.f64 (/.f64 l Om) #s(literal 2 binary64))overflow54
↳(/.f64 l Om)overflow24
sqrt.f64(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))uflow-rescue250
↳(*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))underflow69
↳(*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))underflow84
↳(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))))underflow29
↳(/.f64 (*.f64 l l) Om)underflow70
↳(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))underflow4
↳(*.f64 (*.f64 #s(literal 2 binary64) n) U)underflow42
↳(pow.f64 (/.f64 l Om) #s(literal 2 binary64))underflow84
↳(/.f64 l Om)underflow37
↳(*.f64 l l)underflow66
↳(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))underflow70
/.f64(/.f64 (*.f64 l l) Om)o/n210
↳(*.f64 l l)overflow63
*.f64(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))))n*u130
*.f64(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))))n*o110
*.f64(*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))n*o100
*.f64(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))))u*o80
↳(*.f64 (*.f64 #s(literal 2 binary64) n) U)underflow42
↳(-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om)))overflow53
↳(*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))overflow57
↳(*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))overflow51
↳(/.f64 (*.f64 l l) Om)overflow53
↳(pow.f64 (/.f64 l Om) #s(literal 2 binary64))overflow54
↳(-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))overflow72
↳(/.f64 l Om)overflow24
↳(*.f64 l l)overflow63
↳(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))overflow53
*.f64(*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))n*o30
*.f64(*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*))n*u20
Confusion
Predicted +Predicted -
+1382
-1115
Precision
0.9928057553956835
Recall
0.9857142857142858
Confusion?
Predicted +Predicted MaybePredicted -
+13802
-10115
Precision?
0.9928057553956835
Recall?
0.9857142857142858
Freqs
test
numberfreq
0117
1103
235
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
34.746337890625
Average Time
0.1357278823852539
Samples
2.9s23 040×0valid
Compiler

Compiled 20 880 to 3 960 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-mult: 821.0ms (45.1% of total)
ival-div: 306.0ms (16.8% of total)
ival-sub: 294.0ms (16.1% of total)
ival-pow2: 212.0ms (11.6% of total)
ival-sqrt: 143.0ms (7.8% of total)
ival-true: 22.0ms (1.2% of total)
exact: 15.0ms (0.8% of total)
ival-assert: 9.0ms (0.5% of total)

preprocess194.0ms (1.8%)

Memory
0.2MiB live, 48.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0221780
1714766
22813762
37848762
02128
03528
16628
219128
389926
4359924
5724524
0801923
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))
Outputs
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))
(sqrt.f64 (*.f64 (fma.f64 (/.f64 (*.f64 l l) Om) (-.f64 #s(literal -2 binary64) (*.f64 n (/.f64 (-.f64 U U*) Om))) t) (*.f64 U (*.f64 n #s(literal 2 binary64)))))
Symmetry

(abs l)

Compiler

Compiled 28 to 21 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))
Compiler

Compiled 56 to 42 computations (25% saved)

simplify43.0ms (0.4%)

Memory
-4.7MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02128
13928
27028
39628
413128
516328
618228
729428
855428
971828
1073028
1177528
1280428
1384028
1487428
1590228
1692328
1793828
1894428
1994528
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))
Outputs
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) U) (-.f64 (-.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) #s(literal 2 binary64))) (-.f64 U U*)))))
(sqrt.f64 (*.f64 (-.f64 (*.f64 (-.f64 U* U) (*.f64 (pow.f64 (/.f64 l Om) #s(literal 2 binary64)) n)) (-.f64 (*.f64 (/.f64 (*.f64 l l) Om) #s(literal 2 binary64)) t)) (*.f64 U (*.f64 n #s(literal 2 binary64)))))

soundness0.0ms (0%)

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

Compiled 28 to 21 computations (25% saved)

preprocess3.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Remove

(abs l)

Compiler

Compiled 224 to 168 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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