Original tone mapped image by DATMO {e=1, c=1}:

Histogram of the tone mapped image:

Image statistics of the tone-mapped image:

Median percentile of the lightness (CIE L*a*b*): 23.039
Mean of the chroma value (CIE L*a*b*): 4.2979
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 38.0896dB)

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: 3.8925
Contrast: 1.1744
Low midtone range: 1.857
High midtone range: 0.77602
Saturation: 0.4094
Frequencies: 0.141, 0.836, 0.985, 0.989, 1.003