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The mods im using are these: Optifine, Thaumcraft, Nevermine 2, NEI (with CCC), Mo creatures (with custom mobspawner), Reis minimap, Wild caves, and of course forge.

I launch minecraft as normal, start a new game, create world, then crashes after like 40 minutes of loading.

Here's the full crash report

---- Minecraft Crash Report ----
// But it works on my machine.

Time: 20/04/16 13:18
Description: Updating screen events

java.lang.OutOfMemoryError: Java heap space
at net.minecraft.client.renderer.texture.DynamicTexture.<init>(SourceFile:24)
at net.minecraft.client.gui.GuiMainMenu.func_73866_w_(GuiMainMenu.java:141)
at net.minecraft.client.gui.GuiScreen.func_146280_a(GuiScreen.java:255)
at net.minecraft.client.Minecraft.func_147108_a(Minecraft.java:808)
at net.minecraft.client.Minecraft.func_71371_a(Minecraft.java:2135)
at cpw.mods.fml.client.FMLClientHandler.tryLoadExistingWorld(FMLClientHandler.java:696)
at net.minecraft.client.gui.GuiSelectWorld.func_146615_e(GuiSelectWorld.java:183)
at net.minecraft.client.gui.GuiSelectWorld.func_146284_a(GuiSelectWorld.java:130)
at net.minecraft.client.gui.GuiScreen.func_73864_a(GuiScreen.java:225)
at net.minecraft.client.gui.GuiScreen.func_146274_d(GuiScreen.java:296)
at net.minecraft.client.gui.GuiScreen.func_146269_k(GuiScreen.java:268)
at net.minecraft.client.Minecraft.func_71407_l(Minecraft.java:1640)
at net.minecraft.client.Minecraft.func_71411_J(Minecraft.java:973)
at net.minecraft.client.Minecraft.func_99999_d(Minecraft.java:898)
at net.minecraft.client.main.Main.main(SourceFile:148)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
at java.lang.reflect.Method.invoke(Unknown Source)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:135)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)

A detailed walkthrough of the error, its code path and all known details is as follows:
---------------------------------------------------------------------------------------

-- Head --
Stacktrace:
at net.minecraft.client.renderer.texture.DynamicTexture.<init>(SourceFile:24)
at net.minecraft.client.gui.GuiMainMenu.func_73866_w_(GuiMainMenu.java:141)
at net.minecraft.client.gui.GuiScreen.func_146280_a(GuiScreen.java:255)
at net.minecraft.client.Minecraft.func_147108_a(Minecraft.java:808)
at net.minecraft.client.Minecraft.func_71371_a(Minecraft.java:2135)
at cpw.mods.fml.client.FMLClientHandler.tryLoadExistingWorld(FMLClientHandler.java:696)
at net.minecraft.client.gui.GuiSelectWorld.func_146615_e(GuiSelectWorld.java:183)
at net.minecraft.client.gui.GuiSelectWorld.func_146284_a(GuiSelectWorld.java:130)
at net.minecraft.client.gui.GuiScreen.func_73864_a(GuiScreen.java:225)
at net.minecraft.client.gui.GuiScreen.func_146274_d(GuiScreen.java:296)
at net.minecraft.client.gui.GuiScreen.func_146269_k(GuiScreen.java:268)

-- Affected screen --
Details:
Screen name: net.minecraft.client.gui.GuiMainMenu
Stacktrace:
at net.minecraft.client.Minecraft.func_71407_l(Minecraft.java:1640)
at net.minecraft.client.Minecraft.func_71411_J(Minecraft.java:973)
at net.minecraft.client.Minecraft.func_99999_d(Minecraft.java:898)
at net.minecraft.client.main.Main.main(SourceFile:148)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
at java.lang.reflect.Method.invoke(Unknown Source)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:135)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)

-- System Details --
Details:
Minecraft Version: 1.7.10
Operating System: Windows 7 (amd64) version 6.1
Java Version: 1.7.0_60, Oracle Corporation
Java VM Version: Java HotSpot(TM) 64-Bit Server VM (mixed mode), Oracle Corporation
Memory: 174192 bytes (0 MB) / 1060372480 bytes (1011 MB) up to 1060372480 bytes (1011 MB)
JVM Flags: 6 total; -XX:HeapDumpPath=MojangTricksIntelDriversForPerformance_javaw.exe_minecraft.exe.heapdump -Xmx1G -XX:+UseConcMarkSweepGC -XX:+CMSIncrementalMode -XX:-UseAdaptiveSizePolicy -Xmn128M
AABB Pool Size: 0 (0 bytes; 0 MB) allocated, 0 (0 bytes; 0 MB) used
IntCache: cache: 0, tcache: 0, allocated: 0, tallocated: 0
FML: MCP v9.05 FML v7.10.99.99 Minecraft Forge 10.13.4.1614 12 mods loaded, 12 mods active
States: 'U' = Unloaded 'L' = Loaded 'C' = Constructed 'H' = Pre-initialized 'I' = Initialized 'J' = Post-initialized 'A' = Available 'D' = Disabled 'E' = Errored
UCHIJAA mcp{9.05} [Minecraft Coder Pack] (minecraft.jar)
UCHIJAA FML{7.10.99.99} [Forge Mod Loader] (forge-1.7.10-10.13.4.1614-1.7.10.jar)
UCHIJAA Forge{10.13.4.1614} [Minecraft Forge] (forge-1.7.10-10.13.4.1614-1.7.10.jar)
UCHIJAA CodeChickenCore{1.0.4.29} [CodeChicken Core] (minecraft.jar)
UCHIJAA NotEnoughItems{1.0.3.74} [Not Enough Items] (NotEnoughItems-1.7.10-1.0.3.74-universal.jar)
UCHIJAA nevermine{2.3} [AdventOfAscension] (AoA-2.4.B.jar)
UCHIJAA CustomSpawner{3.3.0} [DrZhark's CustomSpawner] (CustomMobSpawner 3.3.0.zip)
UCHIJAA MoCreatures{6.3.1} [DrZhark's Mo'Creatures Mod] (DrZharks MoCreatures Mod v6.3.1.zip)
UCHIJAA ReiMinimap{1.7.10} [Rei's Minimap] (Reis-Minimap-Mod-1.7.10.jar)
UCHIJAA Baubles{1.0.1.10} [Baubles] (Baubles-1.7.10-1.0.1.10.jar)
UCHIJAA Thaumcraft{4.2.3.5} [Thaumcraft] (Thaumcraft-1.7.10-4.2.3.5.jar)
UCHIJAA wildcaves3{0.4.3.6} [Wild Caves 3] (Wild-Caves-Mod-1.7.10.jar)
GL info: ' Vendor: 'ATI Technologies Inc.' Version: '4.5.13399 Compatibility Profile Context 15.200.1062.1004' Renderer: 'AMD Radeon HD 6570'
Launched Version: 1.7.10-Forge10.13.4.1614-1.7.10
LWJGL: 2.9.1
OpenGL: AMD Radeon HD 6570 GL version 4.5.13399 Compatibility Profile Context 15.200.1062.1004, ATI Technologies Inc.
GL Caps: Using GL 1.3 multitexturing.
Using framebuffer objects because OpenGL 3.0 is supported and separate blending is supported.
Anisotropic filtering is supported and maximum anisotropy is 16.
Shaders are available because OpenGL 2.1 is supported.

Is Modded: Definitely; Client brand changed to 'fml,forge'
Type: Client (map_client.txt)
Resource Packs: []
Current Language: English (US)
Profiler Position: N/A (disabled)
Vec3 Pool Size: 0 (0 bytes; 0 MB) allocated, 0 (0 bytes; 0 MB) used
Anisotropic Filtering: Off (1)

java.lang.OutOfMemoryError: Java heap space

I think you need to allocate more ram, you can find out how right here