Original tone mapped image by DATMO {e=0.6, 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*): 51.1011
Mean of the chroma value (CIE L*a*b*): 43.0386
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 30.3532dB)

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: 2.0446
Contrast: 0.7349
Low midtone range: 2.0761
High midtone range: 66.5023
Saturation: 0.61174
Frequencies: 0.082, 0.699, 1.104, 1.087, 1.187