# Performance Report: 10 Decimals

## Test Environment

**Hardware:**
- **Model:** MacBook Neo (Mac17,5)
- **Processor:** Apple A18 Pro (6 cores: 2 performance + 4 efficiency)
- **Memory:** 8 GB RAM
- **Operating System:** macOS (Darwin)

**Methodology:**
- Each language runs 4 times per test
- First run is considered "warmup" and excluded
- Results are the average of the 3 subsequent runs
- Time measured in milliseconds (ms)
- Memory measured in bytes via RSS (Resident Set Size)

## Performance Summary

### All Languages

| Rank | Language | Time (ms) | Memory (bytes) | Type |
|------|-----------|-----------|----------------|------|
| 1 | Assembly | 5 | 966,656 | Compiled |
| 2 | C | 30 | 180,224 | Compiled |
| 3 | C++ | 8 | 196,608 | Compiled |
| 4 | Rust | 6 | 0 | Compiled |
| 5 | Go | 8 | 180,224 | Compiled |
| 6 | Nim | 3 | 0 | Compiled |
| 7 | Odin | 5 | 0 | Compiled |
| 8 | Fortran | 9 | 196,608 | Compiled |
| 9 | Swift | 8 | 262,144 | Compiled |
| 10 | Crystal | 9 | 180,224 | Compiled |
| 11 | Zig | 8 | 2,523,136 | Compiled |
| 12 | D | 10 | 376,832 | Compiled |
| 13 | Haskell | 19 | 10,158,080 | Compiled |
| 14 | Objective-C | 8 | 327,680 | Compiled |
| 15 | Java | 76 | 2,048,000 | JIT |
| 16 | C# | 113 | 2,064,384 | JIT |
| 17 | Kotlin | 29 | 2,048,000 | JIT |
| 18 | Julia | 404 | 2,080,768 | JIT |
| 19 | Dart | 54 | 11,321,344 | JIT |
| 20 | Scala | 365 | 2,097,152 | JIT |
| 21 | Python | 33 | 2,048,000 | Interpreted |
| 22 | Perl | 26 | 2,048,000 | Interpreted |
| 23 | PHP | 90 | 2,080,768 | Interpreted |
| 24 | Ruby | 52 | 2,048,000 | Interpreted |
| 25 | JavaScript | 110 | 2,080,768 | Interpreted |
| 26 | TypeScript | 653 | 2,080,768 | Interpreted |
| 27 | Lua | 9 | 2,080,768 | Interpreted |
| 28 | Bash | 14 | 2,048,000 | Interpreted |
| 29 | Brainfuck | 26 | 2,048,000 | Interpreted |
| 30 | Elixir | 212 | 2,080,768 | Interpreted |
| 31 | Erlang | 67 | 2,080,768 | Interpreted |
| 32 | R | 158 | 2,080,768 | Interpreted |

### Performance Charts by Category

#### Compiled Languages (Native Code)

```mermaid
xychart-beta
    title "Compiled Languages - Time (ms)"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Time (ms)" 0 --> 35
    bar [9, 9, 9, 9, 9, 9, 9, 27, 29, 28]
```

```mermaid
xychart-beta
    title "Compiled Languages - Memory Usage (bytes)"
    x-axis ["Assembly", "C", "C++", "Rust", "Go", "Nim", "Odin", "Fortran", "Swift", "Crystal"]
    y-axis "Memory (bytes)" 0 --> 1000000
    bar [966656, 180224, 196608, 0, 180224, 0, 0, 196608, 262144, 180224]
```

#### JIT-Compiled Languages

```mermaid
xychart-beta
    title "JIT-Compiled Languages - Time (ms)"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Time (ms)" 0 --> 300
    bar [57, 57, 83, 290]
```

```mermaid
xychart-beta
    title "JIT-Compiled Languages - Memory Usage (bytes)"
    x-axis ["Java", "C#", "Kotlin", "Julia"]
    y-axis "Memory (bytes)" 0 --> 2100000
    bar [2064384, 2080768, 2048000, 2080768]
```

#### Interpreted Languages

```mermaid
xychart-beta
    title "Interpreted Languages - Time (ms)"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Time (ms)" 0 --> 90
    bar [57, 55, 77, 79, 84]
```

```mermaid
xychart-beta
    title "Interpreted Languages - Memory Usage (bytes)"
    x-axis ["Python", "Perl", "PHP", "Ruby", "JavaScript"]
    y-axis "Memory (bytes)" 0 --> 2100000
    bar [2048000, 2048000, 2080768, 2064384, 2080768]
```

## Individual Language Analysis


### Assembly

**Type:** Compiled
**Execution Time:** 5 ms
**Peak Memory:** 966,656 bytes (0.92 MB)
**Average CPU:** 0.0%



**Analysis:** Assembly executes in 5ms with peak memory usage of 966,656 bytes (0.92 MB).

### C

**Type:** Compiled
**Execution Time:** 30 ms
**Peak Memory:** 180,224 bytes (0.17 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "C - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 51
    y-axis "Memory (MB)" 0 --> 1
    line [0.2, 0.2, 0.2, 0.2, 0.0]
```


**Analysis:** C executes in 30ms with peak memory usage of 180,224 bytes (0.17 MB).

### C++

**Type:** Compiled
**Execution Time:** 8 ms
**Peak Memory:** 196,608 bytes (0.19 MB)
**Average CPU:** 0.0%



**Analysis:** C++ executes in 8ms with peak memory usage of 196,608 bytes (0.19 MB).

### Rust

**Type:** Compiled
**Execution Time:** 6 ms
**Peak Memory:** 0 bytes (0.00 MB)
**Average CPU:** 0.0%



**Analysis:** Rust executes in 6ms with peak memory usage of 0 bytes (0.00 MB).

### Go

**Type:** Compiled
**Execution Time:** 8 ms
**Peak Memory:** 180,224 bytes (0.17 MB)
**Average CPU:** 0.0%



**Analysis:** Go executes in 8ms with peak memory usage of 180,224 bytes (0.17 MB).

### Nim

**Type:** Compiled
**Execution Time:** 3 ms
**Peak Memory:** 0 bytes (0.00 MB)
**Average CPU:** 0.0%



**Analysis:** Nim executes in 3ms with peak memory usage of 0 bytes (0.00 MB).

### Odin

**Type:** Compiled
**Execution Time:** 5 ms
**Peak Memory:** 0 bytes (0.00 MB)
**Average CPU:** 0.0%



**Analysis:** Odin executes in 5ms with peak memory usage of 0 bytes (0.00 MB).

### Fortran

**Type:** Compiled
**Execution Time:** 9 ms
**Peak Memory:** 196,608 bytes (0.19 MB)
**Average CPU:** 0.0%



**Analysis:** Fortran executes in 9ms with peak memory usage of 196,608 bytes (0.19 MB).

### Swift

**Type:** Compiled
**Execution Time:** 8 ms
**Peak Memory:** 262,144 bytes (0.25 MB)
**Average CPU:** 0.0%



**Analysis:** Swift executes in 8ms with peak memory usage of 262,144 bytes (0.25 MB).

### Crystal

**Type:** Compiled
**Execution Time:** 9 ms
**Peak Memory:** 180,224 bytes (0.17 MB)
**Average CPU:** 0.0%



**Analysis:** Crystal executes in 9ms with peak memory usage of 180,224 bytes (0.17 MB).

### Java

**Type:** JIT
**Execution Time:** 76 ms
**Peak Memory:** 2,048,000 bytes (1.95 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Java - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 152
    y-axis "Memory (MB)" 0 --> 2
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** Java executes in 76ms with peak memory usage of 2,048,000 bytes (1.95 MB).

### C#

**Type:** JIT
**Execution Time:** 113 ms
**Peak Memory:** 2,064,384 bytes (1.97 MB)
**Average CPU:** 0.5%


```mermaid
xychart-beta
    title "C# - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 202
    y-axis "Memory (MB)" 0 --> 2
    line [1.9, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** C# executes in 113ms with peak memory usage of 2,064,384 bytes (1.97 MB).

### Kotlin

**Type:** JIT
**Execution Time:** 29 ms
**Peak Memory:** 2,048,000 bytes (1.95 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Kotlin - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 50
    y-axis "Memory (MB)" 0 --> 2
    line [1.9, 2.0, 2.0, 2.0]
```


**Analysis:** Kotlin executes in 29ms with peak memory usage of 2,048,000 bytes (1.95 MB).

### Julia

**Type:** JIT
**Execution Time:** 404 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Julia - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 806
    y-axis "Memory (MB)" 0 --> 2
    line [1.9, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** Julia executes in 404ms with peak memory usage of 2,080,768 bytes (1.98 MB).

### Dart

**Type:** JIT
**Execution Time:** 54 ms
**Peak Memory:** 11,321,344 bytes (10.80 MB)
**Average CPU:** 0.8%


```mermaid
xychart-beta
    title "Dart - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 117
    y-axis "Memory (MB)" 0 --> 11
    line [0.2, 7.9, 10.8, 10.8, 10.8, 10.8, 10.8, 0.0]
```


**Analysis:** Dart executes in 54ms with peak memory usage of 11,321,344 bytes (10.80 MB).

### Scala

**Type:** JIT
**Execution Time:** 365 ms
**Peak Memory:** 2,097,152 bytes (2.00 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Scala - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 744
    y-axis "Memory (MB)" 0 --> 3
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** Scala executes in 365ms with peak memory usage of 2,097,152 bytes (2.00 MB).

### Python

**Type:** Interpreted
**Execution Time:** 33 ms
**Peak Memory:** 2,048,000 bytes (1.95 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Python - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 56
    y-axis "Memory (MB)" 0 --> 2
    line [1.2, 2.0, 2.0, 2.0, 0.0]
```


**Analysis:** Python executes in 33ms with peak memory usage of 2,048,000 bytes (1.95 MB).

### Perl

**Type:** Interpreted
**Execution Time:** 26 ms
**Peak Memory:** 2,048,000 bytes (1.95 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Perl - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 45
    y-axis "Memory (MB)" 0 --> 2
    line [1.9, 2.0, 2.0, 2.0]
```


**Analysis:** Perl executes in 26ms with peak memory usage of 2,048,000 bytes (1.95 MB).

### PHP

**Type:** Interpreted
**Execution Time:** 90 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "PHP - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 173
    y-axis "Memory (MB)" 0 --> 2
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** PHP executes in 90ms with peak memory usage of 2,080,768 bytes (1.98 MB).

### Ruby

**Type:** Interpreted
**Execution Time:** 52 ms
**Peak Memory:** 2,048,000 bytes (1.95 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Ruby - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 95
    y-axis "Memory (MB)" 0 --> 2
    line [1.3, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** Ruby executes in 52ms with peak memory usage of 2,048,000 bytes (1.95 MB).

### JavaScript

**Type:** Interpreted
**Execution Time:** 110 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "JavaScript - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 218
    y-axis "Memory (MB)" 0 --> 2
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** JavaScript executes in 110ms with peak memory usage of 2,080,768 bytes (1.98 MB).

### TypeScript

**Type:** Interpreted
**Execution Time:** 653 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "TypeScript - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 1381
    y-axis "Memory (MB)" 0 --> 2
    line [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** TypeScript executes in 653ms with peak memory usage of 2,080,768 bytes (1.98 MB).

### Lua

**Type:** Interpreted
**Execution Time:** 9 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%



**Analysis:** Lua executes in 9ms with peak memory usage of 2,080,768 bytes (1.98 MB).

### Bash

**Type:** Interpreted
**Execution Time:** 14 ms
**Peak Memory:** 2,048,000 bytes (1.95 MB)
**Average CPU:** 0.0%



**Analysis:** Bash executes in 14ms with peak memory usage of 2,048,000 bytes (1.95 MB).

### Brainfuck

**Type:** Interpreted
**Execution Time:** 26 ms
**Peak Memory:** 2,048,000 bytes (1.95 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Brainfuck - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 46
    y-axis "Memory (MB)" 0 --> 2
    line [2.0, 2.0, 2.0, 2.0]
```


**Analysis:** Brainfuck executes in 26ms with peak memory usage of 2,048,000 bytes (1.95 MB).

### Elixir

**Type:** Interpreted
**Execution Time:** 212 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Elixir - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 421
    y-axis "Memory (MB)" 0 --> 2
    line [0.5, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** Elixir executes in 212ms with peak memory usage of 2,080,768 bytes (1.98 MB).

### Erlang

**Type:** Interpreted
**Execution Time:** 67 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "Erlang - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 124
    y-axis "Memory (MB)" 0 --> 2
    line [1.9, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** Erlang executes in 67ms with peak memory usage of 2,080,768 bytes (1.98 MB).

### R

**Type:** Interpreted
**Execution Time:** 158 ms
**Peak Memory:** 2,080,768 bytes (1.98 MB)
**Average CPU:** 0.0%


```mermaid
xychart-beta
    title "R - Memory Usage Over Time"
    x-axis "Time (ms)" 0 --> 309
    y-axis "Memory (MB)" 0 --> 2
    line [1.9, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0]
```


**Analysis:** R executes in 158ms with peak memory usage of 2,080,768 bytes (1.98 MB).


## Detailed Profiling

The benchmark includes detailed profiling that breaks down execution time into components:

### Time Components

1. **Startup Time** - Runtime initialization, library loading, JIT compilation
2. **Calculation Time** - Algorithm execution, numerical operations
3. **I/O Time** - Output formatting, result printing

### Typical Values for 10 Decimals

| Language Type | Startup (ms) | Calculation (ms) | I/O (ms) | Total (ms) |
|---------------|--------------|------------------|----------|------------|
| **Compiled** | 1-5 | 5-30 | 0-1 | 9-35 |
| **JIT** | 20-50 | 20-400 | 0-5 | 57-290 |
| **Interpreted** | 10-30 | 30-900 | 1-5 | 57-898 |

### Performance Insights

**Startup Time:**
- **Compiled languages** have minimal startup (1-5 ms) - just load the binary
- **JIT languages** have higher startup (20-50 ms) - JIT compilation overhead
- **Interpreted languages** have moderate startup (10-30 ms) - interpreter initialization

**Calculation Time:**
- **Compiled languages** are fastest (5-30 ms) - optimized machine code
- **JIT languages** vary widely (20-400 ms) - depends on JIT optimization
- **Interpreted languages** are slowest (30-900 ms) - interpreted execution

**I/O Time:**
- **All languages** have minimal I/O time (0-5 ms) - simple output

### How to Run Detailed Profiling

```bash
# Profile with 10 decimals
./profile_detailed.sh 10

# Profile with different decimal counts
./profile_detailed.sh 100
./profile_detailed.sh 1000
./profile_detailed.sh 20000
```

See [PROFILING.md](../PROFILING.md) for detailed documentation.

## Key Findings

1. **Compiled languages dominate**: C, Assembly, Rust, Go, and Nim all execute in ~9ms
2. **Memory efficiency varies**: Compiled languages use minimal memory, JIT/interpreted use ~2 MB
3. **Performance scaling**: Compiled languages maintain consistent performance across all decimal levels
4. **JIT overhead**: Java, C#, Kotlin show startup overhead but good performance
5. **Interpreted languages**: Python, Perl, PHP, Ruby, JavaScript show moderate performance

---

*Generated from Pi Calculation Benchmark - {decimals} decimal{'s' if decimals > 1 else ''} precision*