Correct way to convey "reducing" a trade-off

You are improving the trade-off.

In your case your algorithm improves the process, that is, makes the trade-off a better deal. You are improving the trade-off. You are getting more of what you want, the results, while giving up less, or costing less (of your resources) than before. Think of the ratio. You were getting 60% for the cost of 40%, but now you get 75% for the cost of 25%.

You could say that the technique or your solution results in a better trade-off.

Example: "One of the challenging areas in dealing with Non-Functional Requirements (NFRs) is the need for a decision support system which helps in a better trade-off among alternative operationalizations in the potential solution space for the NFRs." https://ieeexplore.ieee.org/abstract/document/6577705