The phrase "assess precisely" is correct and usable in written English.
It can be used when you want to indicate a careful and accurate evaluation of something.
Example: "In order to improve our project outcomes, we need to assess precisely the strengths and weaknesses of our current strategy."
Alternatives: "evaluate accurately" or "analyze thoroughly."
By July, Hammond admitted that in fact the government had been "unable to assess" precisely this question.
Moreover, people switch jobs so often these days that it is often hard to assess precisely what they have done.
The purpose of this study is to assess precisely how much hospitals save by shortening LOS.
Because tenure reviews are confidential, and based so deeply on personal judgment, it is often difficult to assess precisely what went wrong with a particular candidate.
Attrition in the current study was difficult to assess precisely due to the discontinuation criterion in the study protocol whereby participants were discontinued if they missed more than one session in any week or missed more than three sessions cumulatively.
The conservators' task was to assess precisely what kinds of damage the art had sustained, not just from the earthquake but from subsequent exposure to rain and sun and from improper storage both before and after the quake.
Know what the objective of the assignment is and grade according to a standard (a rubric) that assesses precisely that.
To speed the efforts and time to value, business users assessed precisely which data elements were needed most.
When simultaneously to wear, friction is also measured, dynamic processes like running-in can be assessed precisely.
The three-dimensional, time-dependent, fully developed flow field is calculated with a computationally efficient procedure using a RANS solver with k ε turbulence modeling and the flow field is assessed precisely against experimental data.
Fused images enable clear visualization of the vertebral artery, and the relationship of the inner and outer contours of vessels can be assessed precisely.
