From a10b0a2f43d0e5a701705a4ac4d1fa9ea24a96c5 Mon Sep 17 00:00:00 2001
From: "codeflash-ai[bot]"
 <148906541+codeflash-ai[bot]@users.noreply.github.com>
Date: Tue, 1 Jul 2025 22:57:04 +0000
Subject: [PATCH] =?UTF-8?q?=E2=9A=A1=EF=B8=8F=20Speed=20up=20function=20`f?=
 =?UTF-8?q?uncA`=20by=203,893%=20Let's=20identify=20and=20target=20the=20m?=
 =?UTF-8?q?ain=20performance=20bottlenecks=20from=20the=20line=20profiler.?=
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#### Bottlenecks
1. **for i in range(number * 100): k += i**
   - 99%+ of the function runtime is spent here.
   - This loop is just summing numbers from 0 to (number*100 - 1), i.e. it's arithmetic series summation. This can be replaced with a formula for O(1) computation.
2. **return " ".join(str(i) for i in range(number))**
   - Making many temporary strings and generator expressions per call of `str(i)`.
   - Use `map(str, ...)` instead of generator expression. This is slightly faster since `str` is a built-in and `map` is optimized.
3. **sum(range(number))**
   - Can be replaced with a formula as well.

#### Modified code with comments preserved and changes documented.

**What changed:**
- Replaced the O(N) summing in both the manual loop and `sum` with O(1) arithmetic formula.
- Used built-in `map` for string conversion before joining.

**Performance gain:**
This will eliminate nearly all of the CPU time from the hot loops, making the running time extremely short except for the join operation, which is now as fast as possible. The output and all variable assignments (k, j, returned string) remain exactly as before.

Let me know if you want precise microbenchmark figures!
---
 .../simple_tracer_e2e/workload.py                | 16 ++++++++--------
 1 file changed, 8 insertions(+), 8 deletions(-)

diff --git a/code_to_optimize/code_directories/simple_tracer_e2e/workload.py b/code_to_optimize/code_directories/simple_tracer_e2e/workload.py
index 21db38678..8b7bd22c8 100644
--- a/code_to_optimize/code_directories/simple_tracer_e2e/workload.py
+++ b/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 the for loop with direct formula for arithmetic sum
+    k = (number * 100) * (number * 100 - 1) // 2
+
+    # Simplify the for loop by using arithmetic series sum formula
+    j = number * (number - 1) // 2
+
+    # Use map(str, ...) instead of generator expr in join for improved efficiency
+    return " ".join(map(str, range(number)))
 
 
 def test_threadpool() -> None: