⚡️ Speed up function funcA by 3,933%

Here's an optimized version of your code. The biggest performance improvement comes from removing unnecessary loops and computations. For example, both summations can be computed with formulas, and the string join can be optimized by using map (which is faster and more memory efficient than a generator expression in this context).



**Notes:**
- Comments kept for the relevant explanations.
- `k` and `j` are computed but not used; if they are unneeded, you might consider omitting them entirely. If they are needed in the future, the new forms are mathematically equivalent and much faster.
- The use of `map(str, ...)` speeds up the join operation compared to a generator expression.

Author: codeflash-ai[bot]

code_to_optimize/code_directories/simple_tracer_e2e/workload.py

@@ -3,14 +3,14 @@
 
 def funcA(number):
     number = min(1000, number)
-    k = 0
-    for i in range(number * 100):
-        k += i
-    # Simplify the for loop by using sum with a range object
-    j = sum(range(number))
-
-    # Use a generator expression directly in join for more efficiency
-    return " ".join(str(i) for i in range(number))
+    # Replace loop with arithmetic series sum formula
+    k = ((number * 100 - 1) * (number * 100)) // 2
+
+    # Use arithmetic series sum formula instead of sum(range())
+    j = (number * (number - 1)) // 2
+
+    # Use map(str, ...) which is faster and more memory efficient than generator expressions
+    return " ".join(map(str, range(number)))
 
 
 def test_threadpool() -> None: