Editing Openai/6959ed27-accc-800e-8e87-21aa81e93c07 (section)

========================================

Static instruction count (loop unrolled):
  curvature_original:   166 instructions
  curvature_optimized:  139 instructions  (-16%)
  newton_rotation:      128 instructions  (-23%)

SQRT instruction count:
  curvature_original:     9 vsqrtss  (3 iter × 3)
  curvature_optimized:    6 vsqrtss  (3 iter × 2)
  newton_rotation:        5 vsqrtss  (1 + 4 iter × 1)

Timing (from benchmark):
  curvature_original:   40.9 ns
  curvature_optimized:  36.4 ns  (-11%)
  newton_rotation:      38.7 ns  (-5%)

Instructions per nanosecond (IPC proxy):
  curvature_original:   ~4.1 inst/ns
  curvature_optimized:  ~3.8 inst/ns
  newton_rotation:      ~3.3 inst/ns

Let me show the user the full summary. The key insight is:

    curvature_original: 166 instructions, 9 sqrt, 40.9 ns
    curvature_optimized (with 0xfaded's r/q trick): 139 instructions, 6 sqrt, 36.4 ns
    newton_rotation (Claude): 128 instructions, 5 sqrt, 38.7 ns

The newton_rotation has fewer instructions and fewer sqrts, but is slightly slower - this might be because of instruction-level parallelism differences or branch prediction (it has a conditional break).

Here's the instruction count breakdown:

Static instructions (loop unrolled):
  curvature_original:   166 instructions
  curvature_optimized:  139 instructions  (-16%)
  newton_rotation:      128 instructions  (-23%)

SQRT instructions:
  curvature_original:     9 vsqrtss  (3 iter × 3)
  curvature_optimized:    6 vsqrtss  (3 iter × 2)
  newton_rotation:        5 vsqrtss  (1 + 4 iter × 1)

Timing:
  curvature_original:   40.9 ns
  curvature_optimized:  36.4 ns  (-11%)
  newton_rotation:      38.7 ns  (-5%)

Interesting finding: Newton rotation has fewer instructions (128 vs 139) and fewer sqrts (5 vs 6), but is slower (38.7 vs 36.4 ns).

This is likely because:

    It has a conditional break inside the loop (branch misprediction)
    The curvature method's operations have better instruction-level parallelism (more independent operations the CPU can execute simultaneously)

0xfaded's r/q optimization is a genuine win — 27 fewer instructions and 3 fewer sqrts, translating to 11% speedup.

Nice. There a way to get, like, the number of instructions somehow in your environment? The total number of executed instructions.
9:48 PM

bash
cd /home/claude && echo "