Use shaped identities for arithmetic Insert and support ∾

1 files changed, 2 insertions, 2 deletions

diff --git a/docs/bqn.js b/docs/bqn.js
index 63a34fc4..d2ffd220 100644
--- a/docs/bqn.js
+++ b/docs/bqn.js
@@ -204,9 +204,9 @@ let provide = [
 ];
 
 let runtime = run(
-  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0,2,0,10,21,1,7,17,7,22,1,6,13,14,0,24,22,1,7,12,14,21,0,1,21,3,23,16,25,21,0,2,0,10,22,1,7,13,14,21,0,2,25,0,24,22,1,9,12,25,21,1,3,0,9,21,1,4,21,3,23,16,17,0,19,16,0,20,0,8,21,3,7,21,1,3,8,21,3,4,0,18,7,21,1,4,19,7,16,22,0,3,11,21,3,27,22,1,10,13,14,21,0,3,21,3,25,0,10,7,21,1,7,17,0,14,21,3,7,0,24,8,0,9,0,24,19,21,3,9,15,205,8,16,14,21,0,1,0,17,16,21,3,8,0,18,8,22,0,4,11,14,21,1,9,21,3,1,21,3,9,15,206,8,16,14,21,1,6,0,17,21,1,10,17,0,20,21,0,4,7,16,25,21,0,1,0,19,16,0,20,0,9,21,3,7,21,0,1,8,21,3,4,0,18,7,21,1,3,19,7,16,25,21,0,1,0,19,16,0,20,0,10,21,3,7,21,0,2,8,7,16,25,21,0,1,0,24,0,9,21,1,3,17,21,3,18,21,0,2,17,21,3,9,21,3,63,21,0,0,21,3,7,21,0,2,0,8,0,24,17,8,7,8,16,21,2,3,21,0,2,21,1,4,16,17,25,21,2,7,21,3,81,21,0,1,17,0,19,16,0,20,21,2,6,0,3,16,7,16,21,3,27,22,2,6,13,14,21,2,7,25,21,0,1,21,3,68,21,2,7,17,0,20,21,2,6,21,3,8,0,18,8,7,16,25,21,0,2,0,20,21,0,1,21,3,8,0,18,8,7,16,25,21,0,1,21,3,77,21,0,2,17,0,21,21,3,71,7,16,21,3,25,21,3,80,7,16,22,0,3,11,14,21,0,3,21,3,98,16,0,20,21,0,2,21,3,8,0,18,8,7,16,21,3,25,21,3,73,7,16,22,0,4,11,14,21,0,3,21,3,75,21,3,7,21,1,4,8,21,3,9,21,0,2,21,0,1,3,2,21,3,8,21,3,48,0,18,7,8,21,3,5,15,207,8,8,16,14,21,0,4,25,21,1,4,21,3,80,21,3,7,21,0,1,8,21,3,6,21,2,5,8,21,1,3,17,21,3,77,21,3,7,0,23,8,21,3,9,21,0,1,21,3,80,0,24,17,21,3,5,21,1,5,8,8,16,25,21,0,1,0,24,21,3,8,21,3,75,8,21,3,9,15,208,8,21,0,2,17,25,21,0,2,21,3,116,16,21,3,99,16,22,0,3,11,14,21,0,1,21,3,115,21,0,2,21,3,29,21,0,3,17,17,21,3,4,21,3,81,7,0,24,17,21,3,70,0,23,17,21,3,4,21,3,29,7,21,0,3,17,22,0,4,11,14,21,0,1,21,1,3,21,3,114,21,3,51,8,21,0,2,21,3,29,21,0,4,17,17,21,2,2,21,3,9,21,3,73,21,3,7,21,3,81,21,3,7,21,0,4,8,8,21,3,80,21,3,2,19,8,21,0,2,21,3,76,16,17,25,21,3,2,21,0,1,21,0,4,19,25,21,0,1,21,1,8,0,9,0,24,17,21,4,9,21,1,9,0,9,0,24,19,21,4,9,15,209,8,8,0,24,0,9,21,0,1,17,17,25,21,0,2,0,8,21,1,3,17,22,1,4,12,14,21,0,1,0,8,21,1,3,17,22,1,7,12,21,2,6,16,22,1,6,12,0,8,21,1,3,17,21,2,6,16,22,1,5,12,14,21,1,7,0,15,21,3,6,17,22,1,8,12,14,21,1,6,21,1,11,16,14,21,1,7,21,1,13,21,1,4,17,25,21,0,2,0,8,0,24,17,22,1,4,12,0,14,21,1,6,17,0,10,0,25,17,0,8,22,1,8,13,14,21,0,2,25,21,0,1,0,8,0,24,17,22,1,7,12,0,14,21,1,5,17,0,8,22,1,8,13,14,21,0,1,25,21,0,1,21,1,10,21,4,0,21,1,8,8,21,0,2,17,25,21,0,1,0,18,21,1,7,21,1,13,21,1,4,17,17,25,0,24,0,8,21,0,1,17,21,2,4,16,22,2,6,12,21,2,5,16,22,2,7,12,14,21,2,6,25,21,0,1,0,19,16,21,2,5,21,0,1,7,22,2,6,13,25,21,4,3,21,0,1,0,3,16,7,21,1,4,3,2,21,4,0,0,15,21,4,7,0,23,8,8,22,1,4,12,25,21,0,1,21,4,25,21,4,81,7,16,21,4,73,16,22,2,3,12,14,21,0,1,21,4,25,21,4,69,7,16,21,4,73,21,1,4,17,22,1,4,12,25,0,25,21,4,65,21,0,2,17,21,4,69,16,22,0,3,11,21,4,80,21,0,1,17,22,0,4,11,21,3,2,16,22,0,5,11,14,21,0,1,21,0,4,3,2,0,18,21,0,5,17,21,2,3,21,0,2,21,4,68,0,25,17,21,4,73,21,0,5,17,21,4,80,21,0,3,17,17,25,21,0,1,14,0,25,22,2,8,12,14,21,2,4,22,2,7,12,14,21,0,1,22,2,4,12,25]
  ,provide.concat([0,1,2,32,3,8,-1,-Infinity,Infinity,4,5,-2,str("´: 𝕩 must be a list"),str("Mapping: Equal-rank argument shapes don\'t agree"),str("Mapping: Argument shape prefixes don\'t agree"),str("⍋𝕩: 𝕩 must have rank at least 1"),str("/: Replication argument must have rank 1"),str("/: Amounts to replicate must be natural numbers"),str("⌽𝕩: 𝕩 must have rank at least 1"),str("𝕨⌽𝕩: 𝕨 must consist of integers"),str("↑𝕩: 𝕩 must have rank at least 1"),str("↓𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 must have rank at least 1"),str("⊏𝕩: 𝕩 cannot have length 0"),str("𝕨⊏𝕩: 𝕩 must be an array"),str("𝕨⊏𝕩: Indices in 𝕨 must be integers"),str("𝕨⊏𝕩: Indices out of range"),str(">𝕩: Elements of 𝕩 must have matching shapes"),str("∾𝕩: Elements of 𝕩 must all have the same rank"),str("∾𝕩: 𝕩 element rank must be at least argument rank"),str("∾𝕩: 𝕩 element shapes must be compatible"),str("∾𝕩: 𝕩 element trailing shapes must match"),str("∾𝕩: 𝕩 must be an array"),str("𝕨"),str("𝕩: 𝕨 must "),str("have rank at most 1"),str("consist of integers"),str("↑"),str("↓"),str("« or »: 𝕩 must have rank at least 1"),str("« or »: 𝕨 must not have higher rank than 𝕩"),str("« or »: Rank of 𝕨 must be at least rank of 𝕩 minus 1"),str("« or »: 𝕨 must share 𝕩\'s major cell shape"),str("𝕨↕𝕩: 𝕩 must be an array"),str("𝕨↕𝕩: 𝕨 must have rank at most 1"),str("𝕨↕𝕩: Length of 𝕨 must be at most rank of 𝕩"),str("𝕨↕𝕩: 𝕨 must consist of natural numbers"),str("𝕨↕𝕩: Window length 𝕨 must be at most axis length plus one"),str("First-axis primitive: 𝕩 must have rank at least 1"),str("Multi-axis primitive: 𝕨 must have rank at most 1"),str("Multi-axis primitive: Length of 𝕨 must be at most rank of 𝕩"),str("≥: No monadic form"),str("≤: No monadic form"),str("´: Identity not found"),str("𝕨⥊𝕩: 𝕨 must have rank at most 1"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers"),str("𝕨⥊𝕩: Can\'t compute axis length when rest of shape is empty"),str("𝕨⥊𝕩: 𝕨 must consist of natural numbers or ∘ ⌊ ⌽ ↑"),str("𝕨⥊𝕩: Shape must be exact when reshaping with ∘"),str("↕𝕩: 𝕩 must consist of natural numbers"),str("↕𝕩: 𝕩 must be a number or list"),str("⎉ or ⚇: 𝔽 result must have rank at most 1"),str("⎉ or ⚇: 𝔽 result must have 1 to 3 elements"),str("⎉ or ⚇: 𝔽 result must consist of integers"),str("˝: 𝕩 must have rank at least 1"),str("𝕨∾𝕩: Rank of 𝕨 and 𝕩 must differ by at most 1"),str("𝕨∾𝕩: Cell shapes of 𝕨 and 𝕩 must match"),str("𝕨/𝕩: Lengths of components of 𝕨 must match 𝕩"),str("⊔: Grouping argument must consist of integers"),str("⊔: Grouping argument values cannot be less than ¯1"),str("⊔𝕩: 𝕩 must be a list"),str("𝕨⊔𝕩: 𝕩 must be an array"),str("𝕨⊔𝕩: Compound 𝕨 must be a list"),str("𝕨⊔𝕩: Total rank of 𝕨 must be at most rank of 𝕩"),str("𝕨⊔𝕩: Lengths of components of 𝕨 must be compatible with 𝕩"),str("𝕨⊑𝕩: Indices in compound 𝕨 must be lists"),str("𝕨⊑𝕩: Index length in 𝕨 must match rank of 𝕩"),str("𝕨⊑𝕩: Indices in 𝕨 must consist of integers"),str("𝕨⊑𝕩: Index out of range"),str("⍋ or ⍒: Rank of 𝕨 must be at least 1"),str("⍋ or ⍒: Rank of 𝕩 must be at least cell rank of 𝕨"),str("⍋ or ⍒: 𝕨 must be sorted"),str("p⊐𝕩 or 𝕨∊p: p must have rank at least 1"),str("∊𝕩 or ⊐𝕩: 𝕩 must have rank at least 1"),str("⍷𝕩: Rank of 𝕨 cannot exceed rank of 𝕩"),str("𝕨⍉𝕩: 𝕨 must have rank at most 1"),str("𝕨⍉𝕩: Length of 𝕨 must not exceed rank of 𝕩"),str("𝕨⍉𝕩: 𝕨 must consist of natural numbers"),str("𝕨⍉𝕩: Skipped result axis"),str("⍟: Repetition numbers in 𝕨 must be integers"),str("⁼: Inverse failed"),str("⁼: Inverse does not exist"),str("⁼: Inverse not found"),str("Cannot currently invert blocks"),str("Cannot invert modifier")])
- ,[[0,1,0,163],[2,0,3716,6],[0,0,3743,3],[0,0,3747,3],[0,0,3751,3],[1,0,3755,5],[1,0,3763,5],[2,0,3781,6],[2,0,3796,6],[2,0,3815,6],[2,0,3837,6],[2,0,3859,6],[0,0,3891,3],[0,0,3897,3],[0,0,3906,3],[0,0,3912,3],[0,0,3923,3],[0,0,3932,3],[1,0,3941,9],[0,0,4054,3],[0,0,4094,4],[0,0,4170,5],[0,0,4245,3],[1,1,4262,4],[1,1,4335,3],[0,0,4401,3],[0,0,4412,5],[2,0,4496,12],[0,0,4702,4],[0,0,4751,6],[0,0,4841,7],[0,0,4970,4],[0,0,5031,4],[0,0,5133,3],[0,0,5186,4],[1,1,5247,2],[0,0,5280,3],[0,0,5330,4],[2,0,5472,16],[1,0,5703,5],[0,0,5734,3],[0,0,5761,3],[0,0,5787,3],[0,0,5826,4],[0,0,5923,3],[0,0,5953,7],[0,0,6000,14],[1,1,6234,8],[1,0,6287,6],[1,1,6395,2],[0,0,6453,5],[0,0,6615,5],[0,0,6752,7],[0,0,6921,3],[0,0,6980,4],[1,0,7054,5],[2,1,7071,4],[0,0,7107,3],[0,0,7134,3],[0,0,7156,3],[0,0,7178,3],[0,0,7215,9],[0,0,7366,5],[0,0,7400,3],[1,1,7495,2],[2,0,7564,10],[2,0,7623,8],[1,0,7816,5],[0,0,7858,8],[0,0,8094,5],[0,0,8160,3],[1,0,8194,8],[0,0,8293,4],[0,0,8376,6],[0,0,8700,4],[0,0,8913,3],[0,0,8931,4],[1,0,9003,9],[1,1,9072,3],[1,0,9096,14],[1,1,9534,4],[1,0,9583,6],[0,0,9722,4],[0,0,9790,3],[0,0,9864,3],[0,0,9919,4],[0,0,10048,4],[0,0,10168,3],[2,0,10225,6],[1,1,10253,2],[2,0,10261,14],[2,0,10448,7],[0,0,10489,6],[0,0,10639,3],[2,1,10709,4],[0,0,10792,3],[0,0,10830,5],[0,0,10974,3],[0,0,11021,3],[0,0,11047,3],[1,0,11134,5],[2,0,11155,6],[0,0,11170,3],[0,0,11178,3],[1,1,11199,2],[0,0,11228,3],[0,0,11264,3],[0,0,11312,3],[0,0,11348,3],[1,1,11435,2],[0,0,11468,3],[0,0,11479,4],[0,0,11516,3],[0,0,11531,3],[0,0,11560,3],[0,0,11575,3],[0,0,11593,3],[0,0,11608,3],[0,0,11618,3],[0,0,11649,7],[0,0,11728,3],[1,1,11753,2],[1,1,11835,2],[1,1,11839,2],[0,0,11843,3],[0,0,11855,3],[0,0,11878,3],[1,0,11899,6],[1,0,12016,11],[1,0,12237,5],[0,0,12252,3],[0,0,12266,3],[0,0,12280,3],[1,0,12325,8],[0,0,12463,8],[0,0,12630,3],[0,0,12656,3],[0,0,12662,4],[0,0,12711,3],[0,0,12721,3],[1,0,12765,7],[0,0,12791,9],[1,0,13077,5],[0,0,13093,7],[0,0,13260,11],[0,0,13496,8],[0,0,13808,3],[0,0,13836,5],[0,0,13931,8],[0,0,14186,3],[0,0,14226,3],[0,0,14246,3],[1,0,14300,6],[0,0,14453,6],[0,0,14575,3],[0,0,14586,3],[0,0,14607,3],[0,0,14638,3],[0,0,14676,6],[0,0,14781,6],[0,0,14830,4],[0,0,14859,3],[0,0,14878,4],[1,1,15035,2],[0,0,15039,3],[0,0,15082,3],[0,0,15093,3],[0,0,15101,3],[0,0,15123,3],[0,0,15131,3],[0,0,15143,3],[0,0,15166,3],[0,0,15193,3],[1,0,15211,5],[1,0,15222,5],[0,0,15233,14],[0,0,15403,3],[0,0,15423,3],[0,0,15452,4],[0,0,15475,3],[1,0,15508,5],[0,0,15534,3],[0,0,15604,3],[0,1,15618,0],[0,0,15625,5],[0,0,15758,3],[0,0,15788,3],[0,0,15808,3],[0,0,15862,3],[0,0,15897,3],[0,0,15921,3],[0,0,15938,5],[0,0,16048,3],[0,0,16103,3],[0,0,16126,5],[1,0,16255,5],[0,0,16266,3],[0,0,16305,3],[0,0,16388,3],[0,0,16422,3],[0,0,16451,3],[0,0,16469,3],[0,0,16486,3],[0,0,16515,3],[0,0,16533,3],[0,0,16565,3],[0,0,16608,6],[0,0,16687,3]]
+ ,[[0,1,0,164],[2,0,3724,6],[0,0,3751,3],[0,0,3755,3],[0,0,3759,3],[1,0,3763,5],[1,0,3771,5],[2,0,3789,6],[2,0,3804,6],[2,0,3823,6],[2,0,3845,6],[2,0,3867,6],[0,0,3899,3],[0,0,3905,3],[0,0,3914,3],[0,0,3920,3],[0,0,3931,3],[0,0,3940,3],[1,0,3949,9],[0,0,4062,3],[0,0,4102,4],[0,0,4178,5],[0,0,4253,3],[1,1,4270,4],[1,1,4343,3],[0,0,4409,3],[0,0,4420,5],[2,0,4504,12],[0,0,4710,4],[0,0,4759,6],[0,0,4849,7],[0,0,4978,4],[0,0,5039,4],[0,0,5141,3],[0,0,5194,4],[1,1,5255,2],[0,0,5288,3],[0,0,5338,4],[2,0,5480,16],[1,0,5711,5],[0,0,5742,3],[0,0,5769,3],[0,0,5795,3],[0,0,5834,4],[0,0,5931,3],[0,0,5961,7],[0,0,6008,14],[1,1,6242,8],[1,0,6295,6],[1,1,6403,2],[0,0,6461,5],[0,0,6623,5],[0,0,6760,7],[0,0,6929,3],[0,0,6988,4],[1,0,7062,5],[2,1,7079,4],[0,0,7115,3],[0,0,7142,3],[0,0,7164,3],[0,0,7186,3],[0,0,7223,9],[0,0,7374,5],[0,0,7408,3],[1,1,7503,2],[2,0,7572,10],[2,0,7631,8],[1,0,7824,7],[0,0,7891,8],[0,0,8127,5],[0,0,8193,3],[1,0,8227,8],[0,0,8326,4],[0,0,8409,6],[0,0,8733,4],[0,0,8946,3],[0,0,8964,4],[1,0,9036,9],[1,1,9105,3],[1,0,9129,14],[1,1,9567,4],[1,0,9616,6],[0,0,9755,4],[0,0,9823,3],[0,0,9897,3],[0,0,9952,4],[0,0,10081,4],[0,0,10201,3],[2,0,10258,6],[1,1,10286,2],[2,0,10294,14],[2,0,10481,7],[0,0,10522,6],[0,0,10672,3],[2,1,10742,4],[0,0,10825,3],[0,0,10863,5],[0,0,11007,3],[0,0,11054,3],[0,0,11080,3],[1,0,11167,5],[2,0,11188,6],[0,0,11203,3],[0,0,11211,3],[1,1,11232,2],[0,0,11261,3],[0,0,11297,3],[0,0,11345,3],[0,0,11381,3],[1,1,11468,2],[0,0,11501,3],[0,0,11512,4],[0,0,11549,3],[0,0,11564,3],[0,0,11593,3],[0,0,11608,3],[0,0,11626,3],[0,0,11641,3],[0,0,11651,3],[0,0,11682,7],[0,0,11761,3],[1,1,11786,2],[1,1,11868,2],[1,1,11872,2],[0,0,11876,3],[0,0,11888,3],[0,0,11911,3],[1,0,11932,6],[1,0,12049,11],[1,0,12270,5],[0,0,12285,3],[0,0,12299,3],[0,0,12313,3],[1,0,12358,8],[0,0,12496,8],[0,0,12663,3],[0,0,12689,3],[0,0,12695,4],[0,0,12744,3],[0,0,12754,3],[1,0,12798,7],[0,0,12824,9],[1,0,13110,5],[0,0,13126,7],[0,0,13293,11],[0,0,13529,8],[0,0,13841,3],[0,0,13869,5],[0,0,13964,8],[0,0,14219,3],[0,0,14259,3],[0,0,14279,3],[1,0,14333,6],[0,0,14486,6],[0,0,14608,4],[0,0,14699,3],[0,0,14722,3],[0,0,14733,3],[0,0,14754,3],[0,0,14785,3],[0,0,14823,6],[0,0,14928,6],[0,0,14977,4],[0,0,15006,3],[0,0,15025,4],[1,1,15182,2],[0,0,15186,3],[0,0,15229,3],[0,0,15240,3],[0,0,15248,3],[0,0,15270,3],[0,0,15278,3],[0,0,15290,3],[0,0,15313,3],[0,0,15340,3],[1,0,15358,5],[1,0,15369,5],[0,0,15380,14],[0,0,15550,3],[0,0,15570,3],[0,0,15599,4],[0,0,15622,3],[1,0,15655,5],[0,0,15681,3],[0,0,15751,3],[0,1,15765,0],[0,0,15772,5],[0,0,15905,3],[0,0,15935,3],[0,0,15955,3],[0,0,16009,3],[0,0,16044,3],[0,0,16068,3],[0,0,16085,5],[0,0,16195,3],[0,0,16250,3],[0,0,16273,5],[1,0,16402,5],[0,0,16413,3],[0,0,16452,3],[0,0,16535,3],[0,0,16569,3],[0,0,16598,3],[0,0,16616,3],[0,0,16633,3],[0,0,16662,3],[0,0,16680,3],[0,0,16712,3],[0,0,16755,6],[0,0,16834,3]]
 );
 
 // Compiler