Original tone mapped image by iCAM06 {p=134, ct=0.5}:

Histogram of the tone mapped image:

Image statistics of the tone-mapped image:

Median percentile of the lightness (CIE L*a*b*): 65.4134
Mean of the chroma value (CIE L*a*b*): 7.3716
Image produced by the generic tone mapping operator:
(evalution of the fit via PSNR: PSNR = 22.798dB)

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: -0.249
Contrast: 0.94668
Low midtone range: 16.211
High midtone range: 3.3392
Saturation: 0.18272
Frequencies: 1.109, 1.124, 1.126, 1.11, 1.087