Original tone mapped image by PTMO {g=2.2, 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*): 38.3167
Mean of the chroma value (CIE L*a*b*): 37.8302
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 29.817dB)

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: 2.2368
Contrast: 1.3382
Low midtone range: 1.9383
High midtone range: 35.1238
Saturation: 0.6373
Frequencies: -0.013, 0.701, 1.147, 1.08, 1.082