Original tone mapped image by DATMO {e=3, 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*): 27.6983
Mean of the chroma value (CIE L*a*b*): 34.7324
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 24.954dB)

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: 2.2649
Contrast: 2.2756
Low midtone range: 1.2191
High midtone range: 298.0984
Saturation: 0.62409
Frequencies: -0.064, 0.679, 1.09, 1.068, 1.093