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*): 31.3448
Mean of the chroma value (CIE L*a*b*): 14.8959
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 34.5342dB)

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: 0.64421
Contrast: 1.6071
Low midtone range: 3.8748
High midtone range: 49.7816
Saturation: 0.70328
Frequencies: 0.725, 0.97, 1.022, 1.021, 1.021