Original tone mapped image by PTMO {g=1.6, 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*): 19.5296
Mean of the chroma value (CIE L*a*b*): 13.7325
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 32.2049dB)

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: 0.90944
Contrast: 2.071
Low midtone range: 2.4117
High midtone range: 361.4809
Saturation: 1.0059
Frequencies: 0.81, 0.971, 1.01, 1.016, 1.01