That seems to be a point for you and Houdini, Marc.

Even if in 2MV SF still was at
r4rk1/pb3pp1/1p1qpR2/2ppN3/3P4/2P4P/PP1pQ1P1/3R2K1 w - - 0 1
Analysis by Stockfish 240116 64 POPCNT:
1. +- (2.72): 1.Ng4 Rfc8 2.Qxd2 Kf8 3.Rxf7+ Kxf7 4.Rf1+ Ke8 5.Qg5 Ba6 6.Rf2 Kd7 7.Ne5+ Kc7 8.Rf7+ Kb8 9.Rd7 Qxd7 10.Nxd7+ Kb7 11.Qe7 Rc7 12.Qxe6 Bb5 13.Ne5 cxd4 14.Qxd5+ Bc6 15.Qxd4 Rh8 16.b4 Rh6 17.c4 a6 18.c5 b5 19.Nxc6 Rhxc6 20.Qe4 Kc8 21.g4 Kd7 22.Qh7 Kc8 23.Qf5+ Kb7 24.Qe5 Rf7 25.Qe4 Rff6 26.Qe7+ Rc7 27.Qe5 Rfc6 28.Kg2 Rd7 29.Qe4 Kc7 30.a3 g6 31.Kg3 Rd8 32.h4 Kd7 33.h5 gxh5 34.gxh5 Rf6 35.Kg4 Rg8+ 36.Kh4
2. +/- (1.36): 1.Qxd2 Ba6 2.Ng4 Qe7 3.Qf2 Rac8 4.Qh4 Be2 5.Nh6+ gxh6 6.Rd2 Bh5 7.Rdf2 Kg7 8.dxc5 bxc5 9.Rg6+ Bxg6 10.Qxe7 a5 11.g4 Rg8 12.Kh2 Rh8 13.h4 h5 14.Qf6+ Kh7 15.gxh5 Bxh5 16.Qe5 Bg6 17.h5 Bf5 18.Rxf5 exf5 19.Qxd5 Rhg8 20.Qxf5+ Kh6 21.Kh3 Rce8 22.Kh4 Re2 23.Qf6+ Kh7 24.Qxf7+ Rg7 25.Qf5+ Kh8 26.Kh3 Rxb2 27.h6 Rg1
in depth 42, just after jumping to the second move after 1.Qxd2 2...Qe7 SF comes up with 3.Re1 on ist own:
r4rk1/p3qpp1/bp2pR2/2pp4/3P2N1/2P4P/PP1Q2P1/3R2K1 w - - 0 1
Analysis by Stockfish 240116 64 POPCNT:
3.Re1 Rfd8 4.Re5 Qxf6 5.Nxf6+ gxf6 6.Rh5 Kf8 7.Qf4 Ke7 8.Rh6 Rd7 9.Qxf6+ Kd6 10.Qf4+ Ke7 11.Qg5+ Kd6 12.Rf6 Rf8 13.Qg7 Rc8 14.Rxf7 Rxf7 15.Qxf7 Rc7 16.Qf4+ Kc6 17.Qg4 Kd7 18.dxc5 bxc5 19.Qa4+ Rc6 20.h4 e5 21.h5 d4 22.h6 Bd3 23.cxd4 exd4 24.Qb3 c4 25.Qb7+ Rc7 26.Qd5+ Ke8 27.Qxd4 Re7 28.Kf2
+- (4.20) Depth: 34/64 00:01:30 2139MN
So we have at the position of interest (very fine one, thanks Marc!) after new Backward, this time given in 1.Ng4 after 1.Qxd2:
[d]r4rk1/pb3pp1/1p1qpR2/2ppN3/3P4/2P4P/PP1pQ1P1/3R2K1 w - - 0 1
Analysis by Stockfish 240116 64 POPCNT:
1. +- (3.24): 1.Qxd2 cxd4 2.Qg5 dxc3 3.bxc3 Qe7 4.Rdf1 d4 5.R1f4 Be4 6.Rg4 Bg6 7.Rxg6 Qxg5 8.R6xg5 g6 9.Rxd4 Rfd8 10.Rgg4 Rd5 11.Rxd5 exd5 12.Ra4 a5 13.Nd7 b5 14.Rd4 Rc8 15.Rxd5 Rxc3 16.Rxb5 Ra3 17.Rb2 Kg7 18.Nb6 a4 19.Rc2 g5 20.Nc4 Rd3 21.Ne5 Ra3 22.Rf2 f5 23.Nf3 g4 24.hxg4 fxg4 25.Ne5 g3 26.Rf7+ Kh6
2. +- (2.10): 1.Ng4 Rfc8 2.Qxd2 Kf8 3.Rxf7+ Kxf7 4.Rf1+ Ke8 5.Qg5 Ba6 6.Rf3 Kd7 7.Ne5+ Kc7 8.Rf7+ Kb8 9.Rd7 Qxd7 10.Nxd7+ Kb7 11.Qe7 Rc7 12.Qxe6 Rd8 13.Qxd5+ Kc8 14.Nxb6+ axb6 15.Qa8+ Kd7 16.Qxa6 cxd4 17.cxd4 Kc6 18.Qd3 Rcd7 19.Qg6+ Kb7 20.Kh2 Rxd4 21.Qxg7+ R8d7 22.Qf6 R7d6 23.Qf3+ R6d5 24.Qf7+ Rd7 25.Qe6 R7d6 26.Qe3 R6d5 27.Qf2 Ka6 28.Qf3 Ka7 29.Qf6 Rd6 30.Qe7+ Rd7 31.Qe5
Depth 36/67
Best move 1.Qxd2!, second best 1.Ng4!?
Here is the corrected .pgn:
[Event "Tata Steel 2016, CCC"]
[Site "?"]
[Date "2016.01.25"]
[Round "?"]
[White "Carlsen"]
[Black "Tomashevsky"]
[Result "1-0"]
[Annotator "Martan,Peter"]
[SetUp "1"]
[FEN "r4rk1/pb3pp1/1p1qpR2/2ppN3/3P4/2P4P/PP1pQ1P1/3R2K1 w - - 0 1"]
[PlyCount "11"]
1. Qxd2 $1 (1. Rxd2 $6 Qd8 2. Rf4 Qg5 3. Rg4 Qh6 4. dxc5 bxc5 5. Qf2 d4 6. cxd4 ) (1. Ng4 $5 Rfc8 (1... cxd4 2. Rdf1 Qc5 3. Nh6+ {[%eval 228,28]}) (1... Rfe8 2. Qxd2 {[%eval 278,29]}) 2. Qxd2 Kf8 (2... Ba6 3. Qg5 {[%eval 265,27]}) 3. Rxf7+ Kxf7 4. Rf1+ Ke8 5. Qg5 Ba6 6. Rf2 {[%eval 210,30]}) (1. Rf4 $6 f6 2. Ng6 Rfe8 3. Qh5 e5 4. dxe5 Rxe5 5. Nxe5 Qxe5 6. Qxe5 fxe5 {[%eval 29,27]}) 1... Ba6 (1... Qe7 2. Rdf1) (1... cxd4 $2 2. Qg5 {[%eval 284,28]}) 2. Ng4 Rfc8 (2... Rfb8 $6 3. Qg5 Kf8 4. Rf2 Rb7 5. Qg6 cxd4 6. cxd4 Rc8 7. Qh7 {[%eval 339,31]}) (2... Qe7 $6 3. Re1 (3. Qf2 $6 Bb5 (3... Bc4 $2 4. dxc5 bxc5 5. b3 Ba6 6. Qh4 { [%eval 174,27]}) (3... Rfd8 4. Qg3) (3... Rac8 $6 4. Qh4 Be2 5. Nh6+ {[%eval 132,30]}) (3... Rfc8 $2 4. Qg3 {[%eval 161,27]}) 4. dxc5 bxc5 (4... Rfc8 $2 5. Rd4 {[%eval 281,27]}) (4... Rfd8 $2 5. Qh4 {[%eval 186,28]}) 5. Qh4 Be2 6. Nh6+ {[%eval 127,31]}) 3... gxf6 (3... Rfd8 4. Re5 Qxf6 5. Nxf6+ gxf6 6. Rh5 Kf8 7. Qf4 {[%eval 458,27]}) 4. Qh6 Bd3 5. Nxf6+ Qxf6 6. Qxf6 Kh7 7. dxc5 {[%eval 427, 27]}) 3. Qg5 Kf8 (3... Qe7 4. Rd2 Rc7 5. Rdf2 cxd4 6. Nh6+) 4. Rf2 Rc7 5. Qg6 cxd4 (5... Bb5 6. Re1 {[%eval 365,33]}) 6. cxd4 {[%eval 350,30]} 1-0
BTW SF dev. has become noticable better in Resolving such since SF7 on many cores as for my pov
Peter.