diff --git a/reference.yaml b/reference.yaml
index face7f3..b63021d 100644
--- a/reference.yaml
+++ b/reference.yaml
@@ -93,6 +93,8 @@ functions:
 
       An error is raised if either `a` or `b` are invalid, or if they are not the same type or same length.
 
+      See also [`vec_sub()`](#vec_sub).
+
     example:
       - |
         select vec_add(
@@ -118,7 +120,14 @@ functions:
   vec_sub:
     params: [a, b]
     section: op
-    desc: x
+    desc: |
+      Subtracts every element in vector `a` with vector `b`, returning a new vector `c`. Both vectors
+      must be of the same type and same length. Only `float32` and `int8` vectors are supported.
+
+      An error is raised if either `a` or `b` are invalid, or if they are not the same type or same length.
+
+      See also [`vec_add()`](#vec_add).
+
     example:
       - |
         select vec_sub(
@@ -144,29 +153,104 @@ functions:
   vec_normalize:
     params: [vector]
     section: op
-    desc: x
-    example: select 'todo';
+    desc: |
+      Performs L2 normalization on the given vector. Only float32 vectors are currently supported.
+
+      Returns an error if the input is an invalid vector or not a float32 vector.
+    example:
+      - select vec_normalize('[2, 3, 1, -4]');
+      - |
+        select vec_to_json(
+          vec_normalize('[2, 3, 1, -4]')
+        );
+      - |
+        -- for matryoshka embeddings - slice then normalize
+        select vec_to_json(
+          vec_normalize(
+            vec_slice('[2, 3, 1, -4]', 0, 2)
+          )
+        );
   vec_slice:
     params: [vector, start, end]
     section: op
-    desc: x
-    example: select 'todo';
+    desc: |
+      Extract a subset of `vector` from the `start` element (inclusive) to the `end` element (exclusive). TODO check
+
+      This is especially useful for [Matryoshka embeddings](#TODO), also known as "adaptive length" embeddings.
+      Use with [`vec_normalize()`](#vec_normalize) to get proper results.
+
+      Returns an error in the following conditions:
+        - If `vector` is not a valid vector
+        - If `start` is less than zero or greater than or equal to `end`
+        - If `end` is greater than the length of `vector`, or less than or equal to `start`.
+        - If `vector` is a bitvector, `start` and `end` must be divisible by 8.
+    example:
+      - select vec_slice('[1, 2,3, 4]', 0, 2);
+      - |
+        select vec_to_json(
+          vec_slice('[1, 2,3, 4]', 0, 2)
+        );
+      - |
+        select vec_to_json(
+          vec_slice('[1, 2,3, 4]', 2, 4)
+        );
+      - |
+        select vec_to_json(
+          vec_slice('[1, 2,3, 4]', -1, 4)
+        );
+      - |
+        select vec_to_json(
+          vec_slice('[1, 2,3, 4]', 0, 5)
+        );
+      - |
+        select vec_to_json(
+          vec_slice('[1, 2,3, 4]', 0, 0)
+        );
   vec_to_json:
     params: [vector]
     section: op
-    desc: x
-    example: select 'todo';
+    desc: |
+      Represents a vector as JSON text. The input vector can be a vector BLOB or JSON text.
+
+      Returns an error if `vector` is an invalid vector, or when memory cannot be allocated.
+    example:
+      - select vec_to_json(X'AABBCCDD');
+      - select vec_to_json(vec_int8(X'AABBCCDD'));
+      - select vec_to_json(vec_bit(X'AABBCCDD'));
+      - select vec_to_json('[1,2,3,4]');
+      - select vec_to_json('invalid');
 
   vec_distance_cosine:
     params: [a, b]
     section: distance
-    desc: x
-    example: select 'todo';
+    desc: |
+      Calculates the cosine distance between vectors `a` and `b`. Only valid for float32 or int8 vectors.
+
+      Returns an error under the following conditions:
+        - `a` or `b` are invalid vectors
+        - `a` or `b` do not share the same vector element types (ex float32 or int8)
+        - `a` or `b` are bit vectors. Use [`vec_distance_hamming()`](#vec_distance_hamming) for distance calculations between two bitvectors.
+        - `a` or `b` do not have the same length.
+    example:
+      - select vec_distance_cosine('[1, 1]', '[2, 2]');
+      - select vec_distance_cosine('[1, 1]', '[-2, -2]');
+      - select vec_distance_cosine('[1.1, 2.2, 3.3]', '[4.4, 5.5, 6.6]');
+      - select vec_distance_cosine(X'AABBCCDD', X'00112233');
   vec_distance_hamming:
     params: [a, b]
     section: distance
-    desc: x
-    example: select 'todo';
+    desc: |
+      Calculates the hamming distance between two bitvectors `a` and `b`. Only valid for bitvectors.
+
+      Returns an error under the following conditions:
+      - `a` or `b` are not bitvectors
+      - `a` and `b` do not share the same length
+      - Memory cannot be allocated
+    example:
+      - select vec_distance_hamming(vec_bit(X'00'), vec_bit(X'FF'));
+      - select vec_distance_hamming(vec_bit(X'FF'), vec_bit(X'FF'));
+      - select vec_distance_hamming(vec_bit(X'F0'), vec_bit(X'44'));
+      - select vec_distance_hamming(X'F0', X'00');
   vec_distance_l2:
     params: [a, b]
     section: distance
diff --git a/site/api-reference.md b/site/api-reference.md
index aa92ca2..093b53f 100644
--- a/site/api-reference.md
+++ b/site/api-reference.md
@@ -16,7 +16,7 @@ Returns a version string of the current `sqlite-vec` installation.
 
 ```sql
 select vec_version();
--- 'v0.0.1-alpha.33'
+-- 'v0.0.1-alpha.36'
 
 
 ```
@@ -28,9 +28,9 @@ Returns debugging information of the current `sqlite-vec` installation.
 ```sql
 select vec_debug();
 /*
-'Version: v0.0.1-alpha.33
-Date: 2024-07-14T14:24:27Z-0700
-Commit: 18e33edf143cafd881643965a559cd0259ab0666
+'Version: v0.0.1-alpha.36
+Date: 2024-07-16T23:06:41Z-0700
+Commit: e507bc0230de6dc44c7ff3b4895785edd734f31d
 Build flags: avx '
 */
 
@@ -157,6 +157,8 @@ must be of the same type and same length. Only `float32` and `int8` vectors are
 
 An error is raised if either `a` or `b` are invalid, or if they are not the same type or same length.
 
+See also [`vec_sub()`](#vec_sub).
+
 
 ```sql
 select vec_add(
@@ -192,7 +194,13 @@ select vec_add(vec_bit(X'AA'), vec_bit(X'BB'));
 
 ### `vec_sub(a, b)` {#vec_sub}
 
-x
+Subtracts every element in vector `a` with vector `b`, returning a new vector `c`. Both vectors
+must be of the same type and same length. Only `float32` and `int8` vectors are supported.
+
+An error is raised if either `a` or `b` are invalid, or if they are not the same type or same length.
+
+See also [`vec_add()`](#vec_add).
+
 
 ```sql
 select vec_sub(
@@ -228,33 +236,99 @@ select vec_sub(vec_bit(X'AA'), vec_bit(X'BB'));
 
 ### `vec_normalize(vector)` {#vec_normalize}
 
-x
+Performs L2 normalization on the given vector. Only float32 vectors are currently supported.
+
+Returns an error if the input is an invalid vector or not a float32 vector.
+
 
 ```sql
-select 'todo';
--- 'todo'
+select vec_normalize('[2, 3, 1, -4]');
+-- X'BAF4BA3E8B37C3FBAF43A3EBAF43ABF'
+
+select vec_to_json(
+  vec_normalize('[2, 3, 1, -4]')
+);
+-- '[0.365148,0.547723,0.182574,-0.730297]'
+
+-- for matryoshka embeddings - slice then normalize
+select vec_to_json(
+  vec_normalize(
+    vec_slice('[2, 3, 1, -4]', 0, 2)
+  )
+);
+-- '[0.554700,0.832050]'
 
 
 ```
 
 ### `vec_slice(vector, start, end)` {#vec_slice}
 
-x
+Extract a subset of `vector` from the `start` element (inclusive) to the `end` element (exclusive). TODO check
+
+This is especially useful for [Matryoshka embeddings](#TODO), also known as "adaptive length" embeddings.
+Use with [`vec_normalize()`](#vec_normalize) to get proper results.
+
+Returns an error in the following conditions:
+  - If `vector` is not a valid vector
+  - If `start` is less than zero or greater than or equal to `end`
+  - If `end` is greater than the length of `vector`, or less than or equal to `start`.
+  - If `vector` is a bitvector, `start` and `end` must be divisible by 8.
+
 
 ```sql
-select 'todo';
--- 'todo'
+select vec_slice('[1, 2,3, 4]', 0, 2);
+-- X'00803F00040'
+
+select vec_to_json(
+  vec_slice('[1, 2,3, 4]', 0, 2)
+);
+-- '[1.000000,2.000000]'
+
+select vec_to_json(
+  vec_slice('[1, 2,3, 4]', 2, 4)
+);
+-- '[3.000000,4.000000]'
+
+select vec_to_json(
+  vec_slice('[1, 2,3, 4]', -1, 4)
+);
+-- ❌ slice 'start' index must be a postive number.
+
+select vec_to_json(
+  vec_slice('[1, 2,3, 4]', 0, 5)
+);
+-- ❌ slice 'end' index is greater than the number of dimensions
+
+select vec_to_json(
+  vec_slice('[1, 2,3, 4]', 0, 0)
+);
+-- ❌ slice 'start' index is equal to the 'end' index, vectors must have non-zero length
 
 
 ```
 
 ### `vec_to_json(vector)` {#vec_to_json}
 
-x
+Represents a vector as JSON text. The input vector can be a vector BLOB or JSON text.
+
+Returns an error if `vector` is an invalid vector, or when memory cannot be allocated.
+
 
 ```sql
-select 'todo';
--- 'todo'
+select vec_to_json(X'AABBCCDD');
+-- '[-1844071490169864000.000000]'
+
+select vec_to_json(vec_int8(X'AABBCCDD'));
+-- '[-86,-69,-52,-35]'
+
+select vec_to_json(vec_bit(X'AABBCCDD'));
+-- '[0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,1,1]'
+
+select vec_to_json('[1,2,3,4]');
+-- '[1.000000,2.000000,3.000000,4.000000]'
+
+select vec_to_json('invalid');
+-- ❌ JSON array parsing error: Input does not start with '['
 
 
 ```
@@ -265,22 +339,53 @@ TODO
 
 ### `vec_distance_cosine(a, b)` {#vec_distance_cosine}
 
-x
+Calculates the cosine distance between vectors `a` and `b`. Only valid for float32 or int8 vectors.
+
+Returns an error under the following conditions:
+  - `a` or `b` are invalid vectors
+  - `a` or `b` do not share the same vector element types (ex float32 or int8)
+  - `a` or `b` are bit vectors. Use [`vec_distance_hamming()`](#vec_distance_hamming) for distance calculations between two bitvectors.
+  - `a` or `b` do not have the same length.
+
 
 ```sql
-select 'todo';
--- 'todo'
+select vec_distance_cosine('[1, 1]', '[2, 2]');
+-- 2.220446049250313e-16
+
+select vec_distance_cosine('[1, 1]', '[-2, -2]');
+-- 2
+
+select vec_distance_cosine('[1.1, 2.2, 3.3]', '[4.4, 5.5, 6.6]');
+-- 0.02536807395517826
+
+select vec_distance_cosine(X'AABBCCDD', X'00112233');
+-- 2
 
 
 ```
 
 ### `vec_distance_hamming(a, b)` {#vec_distance_hamming}
 
-x
+Calculates the hamming distance between two bitvectors `a` and `b`. Only valid for bitvectors.
+
+Returns an error under the following conditions:
+- `a` or `b` are not bitvectors
+- `a` and `b` do not share the same length
+- Memory cannot be allocated
+
 
 ```sql
-select 'todo';
--- 'todo'
+select vec_distance_hamming(vec_bit(X'00'), vec_bit(X'FF'));
+-- 8
+
+select vec_distance_hamming(vec_bit(X'FF'), vec_bit(X'FF'));
+-- 0
+
+select vec_distance_hamming(vec_bit(X'F0'), vec_bit(X'44'));
+-- 4
+
+select vec_distance_hamming(X'F0', X'00');
+-- ❌ Error reading 1st vector: invalid float32 vector BLOB length. Must be divisible by 4, found 1
 
 
 ```