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*): 31.7422
Mean of the chroma value (CIE L*a*b*): 15.1878
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 35.0332dB)

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: 0.70446
Contrast: 1.728
Low midtone range: 4.3863
High midtone range: 54.0951
Saturation: 0.76437
Frequencies: 0.709, 0.957, 1.004, 1.003, 0.998