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*): 41.0136
Mean of the chroma value (CIE L*a*b*): 15.0996
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 36.9587dB)

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: 0.55511
Contrast: 1.4341
Low midtone range: 80.2353
High midtone range: 4.4137
Saturation: 0.61169
Frequencies: 0.656, 0.957, 1.006, 1.001, 1.003