17.050 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.076 * [simplify]: Simplifying using # : (sin (pow (sqrt (atan2 b b)) (- b a))) 0.078 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.079 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.080 * * [simplify]: iteration 2 : 44 enodes (cost 5 ) 0.082 * * [simplify]: iteration 3 : 114 enodes (cost 5 ) 0.084 * * [simplify]: iteration 4 : 315 enodes (cost 5 ) 0.091 * * [simplify]: iteration 5 : 1609 enodes (cost 5 ) 0.127 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.127 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.140 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.144 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.144 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.144 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.144 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.147 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.147 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.148 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.148 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.151 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.151 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.151 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.151 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.151 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.154 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.154 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in (b a) around 0 0.154 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in a 0.154 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in a 0.154 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in a 0.154 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in a 0.154 * [taylor]: Taking taylor expansion of (- b a) in a 0.154 * [taylor]: Taking taylor expansion of b in a 0.154 * [taylor]: Taking taylor expansion of a in a 0.154 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.154 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.154 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.155 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.155 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.155 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.155 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.155 * [taylor]: Taking taylor expansion of (- b a) in b 0.155 * [taylor]: Taking taylor expansion of b in b 0.155 * [taylor]: Taking taylor expansion of a in b 0.155 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.155 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.155 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.156 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.156 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.156 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.156 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.156 * [taylor]: Taking taylor expansion of (- b a) in b 0.156 * [taylor]: Taking taylor expansion of b in b 0.156 * [taylor]: Taking taylor expansion of a in b 0.156 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.156 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.156 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.157 * [taylor]: Taking taylor expansion of (sin (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.157 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.157 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.157 * [taylor]: Taking taylor expansion of -1 in a 0.157 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.157 * [taylor]: Taking taylor expansion of a in a 0.157 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.157 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.157 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.163 * [taylor]: Taking taylor expansion of (* (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))))) in a 0.163 * [taylor]: Taking taylor expansion of (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.163 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.163 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.163 * [taylor]: Taking taylor expansion of -1 in a 0.163 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.163 * [taylor]: Taking taylor expansion of a in a 0.163 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.163 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.163 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.165 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b)))) in a 0.166 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.166 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.166 * [taylor]: Taking taylor expansion of -1 in a 0.166 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.166 * [taylor]: Taking taylor expansion of a in a 0.166 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.166 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.166 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.167 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.167 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.167 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.173 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.173 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a 0.173 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a 0.173 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in a 0.173 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in a 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.173 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.173 * [taylor]: Taking taylor expansion of b in a 0.173 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.173 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.173 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.175 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.175 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.175 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.175 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.175 * [taylor]: Taking taylor expansion of b in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.175 * [taylor]: Taking taylor expansion of a in b 0.175 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.175 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.176 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.176 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.176 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.176 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.176 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.176 * [taylor]: Taking taylor expansion of b in b 0.176 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.177 * [taylor]: Taking taylor expansion of a in b 0.177 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.177 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.177 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.178 * [taylor]: Taking taylor expansion of (sin (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))))) in a 0.178 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a 0.178 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a 0.178 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.178 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.178 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.178 * [taylor]: Taking taylor expansion of b in a 0.178 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.179 * [taylor]: Taking taylor expansion of a in a 0.182 * [taylor]: Taking taylor expansion of 0 in a 0.186 * [taylor]: Taking taylor expansion of 0 in a 0.191 * [taylor]: Taking taylor expansion of 0 in a 0.192 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 0.192 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.192 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.192 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.192 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.192 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.192 * [taylor]: Taking taylor expansion of a in a 0.192 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.192 * [taylor]: Taking taylor expansion of b in a 0.192 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.192 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.192 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.193 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.193 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.193 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.193 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.193 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.193 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.193 * [taylor]: Taking taylor expansion of a in b 0.193 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.193 * [taylor]: Taking taylor expansion of b in b 0.194 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.194 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.194 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.195 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.195 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.195 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.195 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.195 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.195 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.195 * [taylor]: Taking taylor expansion of a in b 0.195 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.195 * [taylor]: Taking taylor expansion of b in b 0.195 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.195 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.195 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.197 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.197 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.197 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.197 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.197 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.197 * [taylor]: Taking taylor expansion of a in a 0.197 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.197 * [taylor]: Taking taylor expansion of b in a 0.198 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.198 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.198 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.201 * [taylor]: Taking taylor expansion of 0 in a 0.209 * [taylor]: Taking taylor expansion of 0 in a 0.215 * [taylor]: Taking taylor expansion of 0 in a 0.215 * * * [progress]: simplifying candidates 0.215 * [simplify]: Simplifying using # : (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sin (pow (sqrt (atan2 b b)) (- b a)))) (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a))))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (* (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a)))) (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a))) 0.218 * * [simplify]: iteration 0 : 60 enodes (cost 132 ) 0.220 * * [simplify]: iteration 1 : 102 enodes (cost 120 ) 0.222 * * [simplify]: iteration 2 : 172 enodes (cost 114 ) 0.225 * * [simplify]: iteration 3 : 291 enodes (cost 114 ) 0.229 * * [simplify]: iteration 4 : 566 enodes (cost 114 ) 0.240 * * [simplify]: iteration 5 : 2095 enodes (cost 114 ) 0.278 * * [simplify]: iteration 6 : 5002 enodes (cost 113 ) 0.279 * [simplify]: Simplified to: (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sin (pow (sqrt (atan2 b b)) (- b a)))) (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) (* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a))))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) (sin (pow (sqrt (atan2 b b)) (- b a))) (sin (pow (sqrt (atan2 b b)) (- b a))) 0.279 * * * [progress]: adding candidates to table 0.341 * * [progress]: iteration 2 / 4 0.341 * * * [progress]: picking best candidate 0.344 * * * * [pick]: Picked # 0.344 * * * [progress]: localizing error 0.357 * * * [progress]: generating rewritten candidates 0.357 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.359 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.381 * * * [progress]: generating series expansions 0.381 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.381 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 0.381 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.381 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.381 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.381 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.406 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 0.406 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.406 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.406 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.407 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.407 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.407 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.429 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 0.429 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.429 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.429 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.429 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.429 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.429 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.451 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 0.451 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.451 * [taylor]: Taking taylor expansion of (cos 1) in b 0.451 * [taylor]: Taking taylor expansion of 1 in b 0.452 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.452 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.452 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.452 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.452 * [taylor]: Taking taylor expansion of (cos 1) in b 0.452 * [taylor]: Taking taylor expansion of 1 in b 0.452 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.452 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.452 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.507 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 0.507 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.507 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.507 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.507 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.508 * [taylor]: Taking taylor expansion of (cos 1) in b 0.508 * [taylor]: Taking taylor expansion of 1 in b 0.508 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.508 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.508 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.508 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.508 * [taylor]: Taking taylor expansion of (cos 1) in b 0.508 * [taylor]: Taking taylor expansion of 1 in b 0.557 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 0.557 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.557 * [taylor]: Taking taylor expansion of (cos 1) in b 0.557 * [taylor]: Taking taylor expansion of 1 in b 0.558 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.558 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.558 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.558 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.558 * [taylor]: Taking taylor expansion of (cos 1) in b 0.558 * [taylor]: Taking taylor expansion of 1 in b 0.558 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.559 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.559 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.614 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.614 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.614 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.614 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.615 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.615 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.617 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.617 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.617 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.618 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.618 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.621 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.621 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.621 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.621 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.621 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.624 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.624 * [approximate]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in (b a) around 0 0.624 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.624 * [taylor]: Taking taylor expansion of (- b a) in a 0.624 * [taylor]: Taking taylor expansion of b in a 0.624 * [taylor]: Taking taylor expansion of a in a 0.624 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.625 * [taylor]: Taking taylor expansion of (cos 1) in a 0.625 * [taylor]: Taking taylor expansion of 1 in a 0.625 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.625 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.625 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.625 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.625 * [taylor]: Taking taylor expansion of (- b a) in b 0.625 * [taylor]: Taking taylor expansion of b in b 0.625 * [taylor]: Taking taylor expansion of a in b 0.625 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.625 * [taylor]: Taking taylor expansion of (cos 1) in b 0.625 * [taylor]: Taking taylor expansion of 1 in b 0.626 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.626 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.626 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.626 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.626 * [taylor]: Taking taylor expansion of (- b a) in b 0.626 * [taylor]: Taking taylor expansion of b in b 0.626 * [taylor]: Taking taylor expansion of a in b 0.626 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.626 * [taylor]: Taking taylor expansion of (cos 1) in b 0.626 * [taylor]: Taking taylor expansion of 1 in b 0.627 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.627 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.627 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.629 * [taylor]: Taking taylor expansion of (* -1 (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 0.629 * [taylor]: Taking taylor expansion of -1 in a 0.629 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.629 * [taylor]: Taking taylor expansion of a in a 0.629 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.629 * [taylor]: Taking taylor expansion of (cos 1) in a 0.629 * [taylor]: Taking taylor expansion of 1 in a 0.630 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.630 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.630 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.636 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.636 * [taylor]: Taking taylor expansion of (cos 1) in a 0.636 * [taylor]: Taking taylor expansion of 1 in a 0.636 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.636 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.636 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.653 * [taylor]: Taking taylor expansion of 0 in a 0.669 * [taylor]: Taking taylor expansion of 0 in a 0.675 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.675 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in a 0.675 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.675 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.675 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.675 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in a 0.675 * [taylor]: Taking taylor expansion of (cos 1) in a 0.675 * [taylor]: Taking taylor expansion of 1 in a 0.676 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.676 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.676 * [taylor]: Taking taylor expansion of b in a 0.676 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.676 * [taylor]: Taking taylor expansion of a in a 0.676 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.676 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.676 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.676 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.677 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.677 * [taylor]: Taking taylor expansion of (cos 1) in b 0.677 * [taylor]: Taking taylor expansion of 1 in b 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.677 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.677 * [taylor]: Taking taylor expansion of b in b 0.678 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.678 * [taylor]: Taking taylor expansion of a in b 0.678 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.678 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.678 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.678 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.678 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.678 * [taylor]: Taking taylor expansion of (cos 1) in b 0.678 * [taylor]: Taking taylor expansion of 1 in b 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.679 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.679 * [taylor]: Taking taylor expansion of b in b 0.679 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.679 * [taylor]: Taking taylor expansion of a in b 0.682 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.682 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.682 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.682 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.682 * [taylor]: Taking taylor expansion of (cos 1) in a 0.682 * [taylor]: Taking taylor expansion of 1 in a 0.687 * [taylor]: Taking taylor expansion of (- (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 0.687 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 0.687 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.687 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.687 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.687 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.687 * [taylor]: Taking taylor expansion of (cos 1) in a 0.687 * [taylor]: Taking taylor expansion of 1 in a 0.687 * [taylor]: Taking taylor expansion of a in a 0.699 * [taylor]: Taking taylor expansion of 0 in a 0.714 * [taylor]: Taking taylor expansion of 0 in a 0.741 * [taylor]: Taking taylor expansion of 0 in a 0.743 * [approximate]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in (b a) around 0 0.743 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.743 * [taylor]: Taking taylor expansion of (cos 1) in a 0.743 * [taylor]: Taking taylor expansion of 1 in a 0.743 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.743 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.743 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.743 * [taylor]: Taking taylor expansion of a in a 0.744 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.744 * [taylor]: Taking taylor expansion of b in a 0.744 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.744 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.744 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.744 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.744 * [taylor]: Taking taylor expansion of (cos 1) in b 0.744 * [taylor]: Taking taylor expansion of 1 in b 0.745 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.745 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.745 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.745 * [taylor]: Taking taylor expansion of a in b 0.745 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.745 * [taylor]: Taking taylor expansion of b in b 0.745 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.745 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.745 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.745 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.745 * [taylor]: Taking taylor expansion of (cos 1) in b 0.745 * [taylor]: Taking taylor expansion of 1 in b 0.746 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.746 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.746 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.746 * [taylor]: Taking taylor expansion of a in b 0.746 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.746 * [taylor]: Taking taylor expansion of b in b 0.746 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.746 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.746 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.749 * [taylor]: Taking taylor expansion of (* -1 (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.749 * [taylor]: Taking taylor expansion of -1 in a 0.749 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.749 * [taylor]: Taking taylor expansion of (cos 1) in a 0.749 * [taylor]: Taking taylor expansion of 1 in a 0.749 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.749 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.749 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.754 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 0.754 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.754 * [taylor]: Taking taylor expansion of (cos 1) in a 0.754 * [taylor]: Taking taylor expansion of 1 in a 0.754 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.754 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.755 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.755 * [taylor]: Taking taylor expansion of a in a 0.766 * [taylor]: Taking taylor expansion of 0 in a 0.781 * [taylor]: Taking taylor expansion of 0 in a 0.802 * [taylor]: Taking taylor expansion of 0 in a 0.803 * * * [progress]: simplifying candidates 0.804 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt 1)) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log 1) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (sqrt (atan2 b b)))) (exp (log (sqrt (atan2 b b)))) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b))))) (cbrt (log (sqrt (atan2 b b)))) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (+ (log (cos 1)) (log (log (sqrt (atan2 b b))))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (exp (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))))) (* (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b)))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt 1))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log 1)) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))) (cos 1)) (* (log (cbrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (cos 1)) (* (log (sqrt (cbrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt 1)) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log 1) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (cos 1) 1/2) (* (cos 1) 1) (* (cos 1) (/ 1 2)) (* (cos 1) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b)))))) (* (cos 1) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (sqrt (atan2 b b)))) (* (sqrt (cos 1)) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (+ (+ (log (cos 1)) (log (log (sqrt (atan2 b b))))) (log (- b a))) (+ (log (* (cos 1) (log (sqrt (atan2 b b))))) (log (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (exp (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))))) (* (* (- b a) (- b a)) (- b a))) (* (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (- b a) (- b a)) (- b a))) (* (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* b (* (cos 1) (log (sqrt (atan2 b b))))) (* (- a) (* (cos 1) (log (sqrt (atan2 b b))))) (* b (* (cos 1) (log (sqrt (atan2 b b))))) (* (- a) (* (cos 1) (log (sqrt (atan2 b b))))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) 1) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) 1) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (* (cos 1) (* b (log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 0.809 * * [simplify]: iteration 0 : 240 enodes (cost 758 ) 0.814 * * [simplify]: iteration 1 : 1120 enodes (cost 651 ) 0.836 * * [simplify]: iteration 2 : 4795 enodes (cost 634 ) 0.906 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.908 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b))))) (cbrt (log (sqrt (atan2 b b)))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (sqrt (atan2 b b)))) (sqrt (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (pow (sqrt (atan2 b b)) (cos 1)) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (* (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b)))))) (cbrt (* (cos 1) (log (sqrt (atan2 b b))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (sqrt (* (cos 1) (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (sqrt (cos 1)) (sqrt (log (sqrt (atan2 b b))))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/2) (* (cos 1) (* (cbrt (log (sqrt (atan2 b b)))) (cbrt (log (sqrt (atan2 b b)))))) (* (cos 1) (sqrt (log (sqrt (atan2 b b))))) (cos 1) (* (cbrt (cos 1)) (log (sqrt (atan2 b b)))) (* (sqrt (cos 1)) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (log (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (pow (sqrt (atan2 b b)) (* (cos 1) (- b a))) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (* (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)))) (cbrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (pow (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 3) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (sqrt (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) b) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) 0.909 * * * [progress]: adding candidates to table 1.127 * * [progress]: iteration 3 / 4 1.127 * * * [progress]: picking best candidate 1.131 * * * * [pick]: Picked # 1.131 * * * [progress]: localizing error 1.148 * * * [progress]: generating rewritten candidates 1.148 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.151 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.159 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.174 * * * [progress]: generating series expansions 1.174 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.175 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.175 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.175 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.175 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.175 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.200 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.201 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.201 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.201 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.201 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.201 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.201 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.223 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.223 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.223 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.223 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.223 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.223 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.223 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.245 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1 1) 1.245 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.245 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.245 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.245 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.245 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.248 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.248 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.248 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.248 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.248 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.251 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.251 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.252 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.252 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.252 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.255 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.255 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 1.255 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.255 * [taylor]: Taking taylor expansion of (cos 1) in b 1.255 * [taylor]: Taking taylor expansion of 1 in b 1.256 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.256 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.256 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.256 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.256 * [taylor]: Taking taylor expansion of (cos 1) in b 1.256 * [taylor]: Taking taylor expansion of 1 in b 1.257 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.257 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.257 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.313 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 1.313 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.313 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.313 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.313 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.313 * [taylor]: Taking taylor expansion of (cos 1) in b 1.313 * [taylor]: Taking taylor expansion of 1 in b 1.314 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.314 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.314 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.314 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.314 * [taylor]: Taking taylor expansion of (cos 1) in b 1.314 * [taylor]: Taking taylor expansion of 1 in b 1.370 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 1.370 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.370 * [taylor]: Taking taylor expansion of (cos 1) in b 1.370 * [taylor]: Taking taylor expansion of 1 in b 1.370 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.370 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.370 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.371 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.371 * [taylor]: Taking taylor expansion of (cos 1) in b 1.371 * [taylor]: Taking taylor expansion of 1 in b 1.371 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.371 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.371 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.422 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.423 * [approximate]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in (b a) around 0 1.423 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in a 1.423 * [taylor]: Taking taylor expansion of (- b a) in a 1.423 * [taylor]: Taking taylor expansion of b in a 1.423 * [taylor]: Taking taylor expansion of a in a 1.423 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.423 * [taylor]: Taking taylor expansion of (cos 1) in a 1.423 * [taylor]: Taking taylor expansion of 1 in a 1.423 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.423 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.423 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.423 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 1.423 * [taylor]: Taking taylor expansion of (- b a) in b 1.424 * [taylor]: Taking taylor expansion of b in b 1.424 * [taylor]: Taking taylor expansion of a in b 1.424 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.424 * [taylor]: Taking taylor expansion of (cos 1) in b 1.424 * [taylor]: Taking taylor expansion of 1 in b 1.424 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.424 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.424 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.424 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 1.424 * [taylor]: Taking taylor expansion of (- b a) in b 1.424 * [taylor]: Taking taylor expansion of b in b 1.424 * [taylor]: Taking taylor expansion of a in b 1.424 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.424 * [taylor]: Taking taylor expansion of (cos 1) in b 1.424 * [taylor]: Taking taylor expansion of 1 in b 1.425 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.425 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.425 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.427 * [taylor]: Taking taylor expansion of (* -1 (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 1.427 * [taylor]: Taking taylor expansion of -1 in a 1.427 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 1.427 * [taylor]: Taking taylor expansion of a in a 1.427 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.427 * [taylor]: Taking taylor expansion of (cos 1) in a 1.427 * [taylor]: Taking taylor expansion of 1 in a 1.428 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.428 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.428 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.434 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.435 * [taylor]: Taking taylor expansion of (cos 1) in a 1.435 * [taylor]: Taking taylor expansion of 1 in a 1.435 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.435 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.435 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.452 * [taylor]: Taking taylor expansion of 0 in a 1.468 * [taylor]: Taking taylor expansion of 0 in a 1.474 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 1.474 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in a 1.474 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.474 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.474 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.474 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in a 1.474 * [taylor]: Taking taylor expansion of (cos 1) in a 1.474 * [taylor]: Taking taylor expansion of 1 in a 1.475 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.475 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.475 * [taylor]: Taking taylor expansion of b in a 1.475 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.475 * [taylor]: Taking taylor expansion of a in a 1.475 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 1.475 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.475 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.475 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.476 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 1.476 * [taylor]: Taking taylor expansion of (cos 1) in b 1.476 * [taylor]: Taking taylor expansion of 1 in b 1.476 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.476 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.476 * [taylor]: Taking taylor expansion of b in b 1.477 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.477 * [taylor]: Taking taylor expansion of a in b 1.477 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 1.477 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.477 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.477 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.477 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 1.477 * [taylor]: Taking taylor expansion of (cos 1) in b 1.477 * [taylor]: Taking taylor expansion of 1 in b 1.478 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.478 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.478 * [taylor]: Taking taylor expansion of b in b 1.478 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.478 * [taylor]: Taking taylor expansion of a in b 1.481 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.481 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.481 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.481 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.481 * [taylor]: Taking taylor expansion of (cos 1) in a 1.481 * [taylor]: Taking taylor expansion of 1 in a 1.486 * [taylor]: Taking taylor expansion of (- (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 1.486 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 1.486 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.486 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.486 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.486 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.486 * [taylor]: Taking taylor expansion of (cos 1) in a 1.486 * [taylor]: Taking taylor expansion of 1 in a 1.487 * [taylor]: Taking taylor expansion of a in a 1.498 * [taylor]: Taking taylor expansion of 0 in a 1.514 * [taylor]: Taking taylor expansion of 0 in a 1.540 * [taylor]: Taking taylor expansion of 0 in a 1.542 * [approximate]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in (b a) around 0 1.542 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.542 * [taylor]: Taking taylor expansion of (cos 1) in a 1.542 * [taylor]: Taking taylor expansion of 1 in a 1.542 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.542 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.542 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.542 * [taylor]: Taking taylor expansion of a in a 1.542 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.542 * [taylor]: Taking taylor expansion of b in a 1.542 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.542 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.543 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.543 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 1.543 * [taylor]: Taking taylor expansion of (cos 1) in b 1.543 * [taylor]: Taking taylor expansion of 1 in b 1.543 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.543 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.543 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.543 * [taylor]: Taking taylor expansion of a in b 1.543 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.543 * [taylor]: Taking taylor expansion of b in b 1.544 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.544 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.544 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.544 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 1.544 * [taylor]: Taking taylor expansion of (cos 1) in b 1.544 * [taylor]: Taking taylor expansion of 1 in b 1.545 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.545 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.545 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.545 * [taylor]: Taking taylor expansion of a in b 1.545 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.545 * [taylor]: Taking taylor expansion of b in b 1.545 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.545 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.545 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.548 * [taylor]: Taking taylor expansion of (* -1 (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.548 * [taylor]: Taking taylor expansion of -1 in a 1.548 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.548 * [taylor]: Taking taylor expansion of (cos 1) in a 1.548 * [taylor]: Taking taylor expansion of 1 in a 1.548 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.548 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.548 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.553 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 1.553 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.553 * [taylor]: Taking taylor expansion of (cos 1) in a 1.553 * [taylor]: Taking taylor expansion of 1 in a 1.553 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.553 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.553 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.553 * [taylor]: Taking taylor expansion of a in a 1.564 * [taylor]: Taking taylor expansion of 0 in a 1.579 * [taylor]: Taking taylor expansion of 0 in a 1.601 * [taylor]: Taking taylor expansion of 0 in a 1.602 * * * [progress]: simplifying candidates 1.604 * [simplify]: Simplifying using # : (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (+ (log (cos 1)) 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(log (sqrt (atan2 b b))))) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 1.610 * * [simplify]: iteration 0 : 272 enodes (cost 1002 ) 1.615 * * [simplify]: iteration 1 : 1189 enodes (cost 805 ) 1.637 * * [simplify]: iteration 2 : 4618 enodes (cost 768 ) 1.706 * * [simplify]: iteration 3 : 5001 enodes (cost 768 ) 1.709 * [simplify]: Simplified to: 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b 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b)))))) (* (cos 1) (* b (log (sqrt (atan2 b b))))) (- (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (* (cos 1) (* b (log (sqrt (atan2 b b))))) (- (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (* (* (* (cos 1) (log (sqrt (atan2 b b)))) (cbrt (- b a))) (cbrt (- b a))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (sqrt (- b a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (+ (sqrt b) (sqrt a))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (log (sqrt (atan2 b b))) (- b a)) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (pow b 3) (pow a 3))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- (* b b) (* a a))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (* (cos 1) (- b a)) (log (sqrt (atan2 b b)))) (* (* (cos 1) (- b a)) (log (sqrt (atan2 b b)))) (* (* (cos 1) (- b a)) (log (sqrt (atan2 b b)))) 1.715 * * * [progress]: adding candidates to table 1.977 * * [progress]: iteration 4 / 4 1.977 * * * [progress]: picking best candidate 1.981 * * * * [pick]: Picked # 1.981 * * * [progress]: localizing error 2.003 * * * [progress]: generating rewritten candidates 2.003 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.005 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 1) 2.007 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 2.009 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1 1 1) 2.012 * * * [progress]: generating series expansions 2.012 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.012 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.012 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.012 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.012 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.013 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.013 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.013 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.035 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.035 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.035 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.035 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.035 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.035 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.035 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.063 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.063 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.063 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.063 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.063 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.063 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.063 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.085 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 1) 2.085 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.085 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.085 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.085 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.085 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.085 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.085 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.106 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.106 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.106 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.107 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.107 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.107 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.107 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.129 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.129 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.129 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.129 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.129 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.129 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.129 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.156 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 2.156 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.156 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.156 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.157 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.157 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.157 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.157 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.177 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.177 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.178 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.178 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.178 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.199 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.199 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.199 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.199 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.200 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.200 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.200 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.221 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1 1 1) 2.221 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 2.221 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.222 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.222 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.222 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.224 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 2.224 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.224 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.225 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.225 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.233 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 2.233 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.233 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.233 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.233 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.236 * * * [progress]: simplifying candidates 2.237 * [simplify]: Simplifying using # : (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp (sqrt 1)))) (log (sqrt (sqrt (atan2 b b)))) (log (log (exp (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (log (exp 1))) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (log (cbrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log (sqrt (log (exp (sqrt (atan2 b b)))))) (log 1) (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b))))) (log (log (log (exp (sqrt (atan2 b b)))))) (exp (log (log (exp (sqrt (atan2 b b)))))) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) 2.241 * * [simplify]: iteration 0 : 61 enodes (cost 503 ) 2.242 * * [simplify]: iteration 1 : 85 enodes (cost 424 ) 2.244 * * [simplify]: iteration 2 : 114 enodes (cost 424 ) 2.245 * * [simplify]: iteration 3 : 151 enodes (cost 424 ) 2.248 * * [simplify]: iteration 4 : 278 enodes (cost 424 ) 2.252 * * [simplify]: iteration 5 : 748 enodes (cost 424 ) 2.267 * * [simplify]: iteration 6 : 3455 enodes (cost 423 ) 2.324 * * [simplify]: iteration 7 : 5001 enodes (cost 404 ) 2.326 * [simplify]: Simplified to: 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) 0 (log (sqrt (atan2 b b))) (log (cbrt (sqrt (atan2 b b)))) (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (sqrt (cbrt (atan2 b b)))) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) 0 (* 2 (log (cbrt (sqrt (atan2 b b))))) (log (cbrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) 0 (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (log (sqrt (atan2 b b)))) (sqrt (atan2 b b)) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b))))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (sqrt (log (log (exp (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (atan2 b b) 3/2) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) 2.326 * * * [progress]: adding candidates to table 2.640 * [progress]: [Phase 3 of 3] Extracting. 2.640 * * [regime]: Finding splitpoints for: (# #) 2.641 * * * [regime-changes]: Trying 4 branch expressions: ((pow (sqrt (atan2 b b)) (- b a)) (sin (pow (sqrt (atan2 b b)) (- b a))) b a) 2.641 * * * * [regimes]: Trying to branch on (pow (sqrt (atan2 b b)) (- b a)) from (# #) 2.668 * * * * [regimes]: Trying to branch on (sin (pow (sqrt (atan2 b b)) (- b a))) from (# #) 2.695 * * * * [regimes]: Trying to branch on b from (# #) 2.714 * * * * [regimes]: Trying to branch on a from (# #) 2.730 * * * [regime]: Found split indices: #