*unimoda*l(!) function [$](log(x) - 5.0)^2[$] using the (most?) efficient

*three-point interval search*on [32,243] with the least number of function evaluations. Does it do better than other algos for iv?

Here is the output (tol = 1.0e-5). Nice thing is the answer always lies in an interval.

Minimum: x, f(x) [84.75,190.25], 0.187801

Minimum: x, f(x) [111.125,163.875], 0.0467709

Minimum: x, f(x) [137.5,163.875], 0.00782745

Minimum: x, f(x) [144.094,157.281], 0.00212025

Minimum: x, f(x) [144.094,150.688], 0.000551828

Minimum: x, f(x) [147.391,150.688], 0.000139543

Minimum: x, f(x) [147.391,149.039], 3.27546e-05

Minimum: x, f(x) [147.803,148.627], 9.52942e-06

Minimum: x, f(x) [148.215,148.627], 1.93004e-06

Minimum: x, f(x) [148.318,148.524], 4.84548e-07

Minimum: x, f(x) [148.369,148.472], 1.23176e-07

Minimum: x, f(x) [148.395,148.447], 3.28335e-08

Minimum: x, f(x) [148.395,148.421], 8.72959e-09

Minimum: x, f(x) [148.408,148.421], 1.95913e-09

Minimum: x, f(x) [148.411,148.418], 5.47337e-10

Minimum: x, f(x) [148.411,148.414], 1.22007e-10

Minimum: x, f(x) [148.412,148.414], 3.37671e-11

Minimum: x, f(x) [148.413,148.414], 7.74401e-12

Minimum: x, f(x) [148.413,148.413], 2.22907e-12

Minimum: x, f(x) [148.413,148.413], 4.62369e-13

Minimum: x, f(x) [148.413,148.413], 1.17684e-13

Minimum: x, f(x) [148.413,148.413], 3.15131e-14

Minimum: x, f(x) [148.413,148.413], 8.20017e-15

Minimum: x, f(x) [148.413,148.413], 1.90432e-15

Bracket [148.413,148.413]

Bracket [2.78939e-15,1.01925e-15]

For OP, tol = 1.0e-1 gives

Minimum: x, f(x) [84.75,190.25], 0.187801

Minimum: x, f(x) [111.125,163.875], 0.0467709

Minimum: x, f(x) [137.5,163.875], 0.00782745

Minimum: x, f(x) [144.094,157.281], 0.00212025

Minimum: x, f(x) [144.094,150.688], 0.000551828

Minimum: x, f(x) [147.391,150.688], 0.000139543

Minimum: x, f(x) [147.391,149.039], 3.27546e-05

Minimum: x, f(x) [147.803,148.627], 9.52942e-06

Minimum: x, f(x) [148.215,148.627], 1.93004e-06

Minimum: x, f(x) [148.318,148.524], 4.84548e-07

Minimum: x, f(x) [148.369,148.472], 1.23176e-07

Bracket [148.369,148.472]

Bracket [8.70207e-08,1.59332e-07]