Original tone mapped image by PTMO {g=2.2, c=1}:

Histogram of the tone mapped image:

Image statistics of the tone-mapped image:

Median percentile of the lightness (CIE L*a*b*): 23.0642
Mean of the chroma value (CIE L*a*b*): 4.2444
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 35.2599dB)

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: 3.9613
Contrast: 1.1581
Low midtone range: 2.8941
High midtone range: 1.2024
Saturation: 0.4199
Frequencies: 0.04, 0.762, 0.958, 0.972, 1.011