Original tone mapped image by PTMO {g=2.8, c=1.8}:

Histogram of the tone mapped image:

Image statistics of the tone-mapped image:

Median percentile of the lightness (CIE L*a*b*): 32.5338
Mean of the chroma value (CIE L*a*b*): 7.0756
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 35.581dB)

Fitted tone curve of the generic tone mapping operator,
compared to the luminance compression done by the tone mapping operator:

Fitted parameters of the generic tmo:

Exposure: 3.7593
Contrast: 0.98929
Low midtone range: 4.5568
High midtone range: 1.3858
Saturation: 0.60078
Frequencies: -0.045, 0.733, 0.963, 0.982, 1.011