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*): 34.9774
Mean of the chroma value (CIE L*a*b*): 14.5187
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 32.1482dB)

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: 0.45985
Contrast: 2.5201
Low midtone range: 1.7843
High midtone range: 0.72303
Saturation: 0.76435
Frequencies: 0.622, 0.975, 1.002, 0.993, 0.987