⚡️ Speed up function funcA by 4,007%

Here’s an optimized version of your program.  
**Summary of optimizations:**
- The `for i in range(number * 100): k += i` is replaced by a direct formula for the sum of an arithmetic sequence, which is O(1) time and memory.
- Every instance of `sum(range(number))` is replaced similarly.
- The `" ".join(str(i) for i in range(number))` is optimized by using a list comprehension and `map(str, ...)`, which is much faster for large N than the generator and avoids multiple generator state transitions.

**Optimized code:**


This version eliminates the time-consuming loops and generator, while producing **identical results** for all input values.

Author: codeflash-ai[bot]

code_to_optimize/code_directories/simple_tracer_e2e/workload.py

@@ -3,14 +3,15 @@
 
 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))
+    # Use direct formula for sum of 0 to number*100-1
+    total_terms = number * 100
+    k = total_terms * (total_terms - 1) // 2
+
+    # Use direct formula for sum of 0 to number-1
+    j = number * (number - 1) // 2
+
+    # Use map(str, ...) which is faster than generator expression
+    return " ".join(map(str, range(number)))
 
 
 def test_threadpool() -> None: