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*): 37.6599
Mean of the chroma value (CIE L*a*b*): 27.3288
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 37.0021dB)

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: 2.2211
Contrast: 1.4132
Low midtone range: 1.4403
High midtone range: 0.8238
Saturation: 0.46479
Frequencies: 0.012, 0.653, 1.041, 1.031, 1.036