34.300 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.094 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.099 * [simplify]: Simplifying using # : (sin (pow (sqrt (atan2 b b)) (- b a))) 0.101 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.102 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.104 * * [simplify]: iteration 2 : 44 enodes (cost 5 ) 0.105 * * [simplify]: iteration 3 : 114 enodes (cost 5 ) 0.108 * * [simplify]: iteration 4 : 315 enodes (cost 5 ) 0.115 * * [simplify]: iteration 5 : 1609 enodes (cost 5 ) 0.151 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.152 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.157 * * * * [pick]: Picked # 0.157 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.170 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.174 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.175 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.175 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.175 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.176 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.176 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.176 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.177 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 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 0.177 * [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 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.178 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in (b a) around 0 0.178 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in a 0.178 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in a 0.178 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in a 0.178 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in a 0.178 * [taylor]: Taking taylor expansion of (- b a) in a 0.179 * [taylor]: Taking taylor expansion of b in a 0.179 * [taylor]: Taking taylor expansion of a in a 0.179 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.179 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.179 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.179 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.179 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.179 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.179 * [taylor]: Taking taylor expansion of (- b a) in b 0.179 * [taylor]: Taking taylor expansion of b in b 0.179 * [taylor]: Taking taylor expansion of a in b 0.179 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.179 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.180 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.180 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.180 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.180 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.180 * [taylor]: Taking taylor expansion of (- b a) in b 0.180 * [taylor]: Taking taylor expansion of b in b 0.180 * [taylor]: Taking taylor expansion of a in b 0.180 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.180 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.180 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.181 * [taylor]: Taking taylor expansion of (sin (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.181 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.181 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.181 * [taylor]: Taking taylor expansion of -1 in a 0.181 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.181 * [taylor]: Taking taylor expansion of a in a 0.181 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.181 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.181 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.185 * [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 0.185 * [taylor]: Taking taylor expansion of (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.185 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.185 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.185 * [taylor]: Taking taylor expansion of -1 in a 0.185 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.185 * [taylor]: Taking taylor expansion of a in a 0.185 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.185 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.185 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.185 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b)))) in a 0.185 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.185 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.186 * [taylor]: Taking taylor expansion of -1 in a 0.186 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.186 * [taylor]: Taking taylor expansion of a in a 0.186 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.186 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.186 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.186 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.186 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.186 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.188 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.188 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a 0.188 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a 0.188 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in a 0.188 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in a 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.188 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.188 * [taylor]: Taking taylor expansion of b in a 0.189 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.189 * [taylor]: Taking taylor expansion of a in a 0.189 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.189 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.189 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.189 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.189 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.189 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.190 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.190 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.190 * [taylor]: Taking taylor expansion of b in b 0.190 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.190 * [taylor]: Taking taylor expansion of a in b 0.190 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.190 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.190 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.190 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.190 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.190 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.190 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.191 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.191 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.191 * [taylor]: Taking taylor expansion of b in b 0.191 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.191 * [taylor]: Taking taylor expansion of a in b 0.191 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.191 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.191 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.192 * [taylor]: Taking taylor expansion of (sin (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))))) in a 0.192 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a 0.192 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) 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 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 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 (/ 1 a) in a 0.192 * [taylor]: Taking taylor expansion of a in a 0.194 * [taylor]: Taking taylor expansion of 0 in a 0.195 * [taylor]: Taking taylor expansion of 0 in a 0.196 * [taylor]: Taking taylor expansion of 0 in a 0.196 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 0.196 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.196 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.196 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.196 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.196 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.196 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.196 * [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 0.197 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.197 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.197 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.197 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.197 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.197 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.197 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.197 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.197 * [taylor]: Taking taylor expansion of a in b 0.197 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.198 * [taylor]: Taking taylor expansion of b in b 0.198 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.198 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.198 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.198 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.198 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.198 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.198 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.198 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.198 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.198 * [taylor]: Taking taylor expansion of a in b 0.198 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.198 * [taylor]: Taking taylor expansion of b in b 0.199 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.199 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.199 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.200 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.200 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.200 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.200 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.200 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.200 * [taylor]: Taking taylor expansion of a in a 0.200 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.200 * [taylor]: Taking taylor expansion of b in a 0.200 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.200 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.200 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.202 * [taylor]: Taking taylor expansion of 0 in a 0.203 * [taylor]: Taking taylor expansion of 0 in a 0.204 * [taylor]: Taking taylor expansion of 0 in a 0.204 * * * [progress]: simplifying candidates 0.205 * [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))) 0.207 * * [simplify]: iteration 0 : 60 enodes (cost 132 ) 0.209 * * [simplify]: iteration 1 : 102 enodes (cost 120 ) 0.211 * * [simplify]: iteration 2 : 172 enodes (cost 114 ) 0.214 * * [simplify]: iteration 3 : 291 enodes (cost 114 ) 0.219 * * [simplify]: iteration 4 : 566 enodes (cost 114 ) 0.231 * * [simplify]: iteration 5 : 2095 enodes (cost 114 ) 0.271 * * [simplify]: iteration 6 : 5002 enodes (cost 113 ) 0.272 * [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))) 0.272 * * * [progress]: adding candidates to table 0.392 * * [progress]: iteration 2 / 4 0.392 * * * [progress]: picking best candidate 0.398 * * * * [pick]: Picked # 0.398 * * * [progress]: localizing error 0.411 * * * [progress]: generating rewritten candidates 0.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.412 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.418 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.419 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.435 * * * [progress]: generating series expansions 0.435 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.435 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 0.435 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.435 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.435 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.435 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.436 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.436 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.441 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 0.441 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.441 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.441 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.441 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.441 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.441 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.446 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 0.447 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.447 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.447 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.447 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.447 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.447 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.452 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.452 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 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 0.452 * [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 0.459 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 0.459 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.459 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.459 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.459 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.459 * [taylor]: Taking taylor expansion of (cos 1) in b 0.459 * [taylor]: Taking taylor expansion of 1 in b 0.459 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.459 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.459 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.459 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.459 * [taylor]: Taking taylor expansion of (cos 1) in b 0.459 * [taylor]: Taking taylor expansion of 1 in b 0.469 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 0.469 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.469 * [taylor]: Taking taylor expansion of (cos 1) in b 0.469 * [taylor]: Taking taylor expansion of 1 in b 0.469 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.469 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.469 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.469 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.469 * [taylor]: Taking taylor expansion of (cos 1) in b 0.469 * [taylor]: Taking taylor expansion of 1 in b 0.469 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.469 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.470 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.477 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.477 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.477 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.477 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.477 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.477 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.478 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.478 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.478 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.478 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.478 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.479 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.479 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.479 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.479 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.479 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.480 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.480 * [approximate]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in (b a) around 0 0.480 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.480 * [taylor]: Taking taylor expansion of (- b a) in a 0.480 * [taylor]: Taking taylor expansion of b in a 0.480 * [taylor]: Taking taylor expansion of a in a 0.480 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.480 * [taylor]: Taking taylor expansion of (cos 1) in a 0.480 * [taylor]: Taking taylor expansion of 1 in a 0.480 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.480 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.480 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.480 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.480 * [taylor]: Taking taylor expansion of (- b a) in b 0.480 * [taylor]: Taking taylor expansion of b in b 0.480 * [taylor]: Taking taylor expansion of a in b 0.481 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.481 * [taylor]: Taking taylor expansion of (cos 1) in b 0.481 * [taylor]: Taking taylor expansion of 1 in b 0.481 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.481 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.481 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.481 * [taylor]: Taking taylor expansion of (* (- b a) (* (cos 1) (log (sqrt (atan2 b b))))) in b 0.481 * [taylor]: Taking taylor expansion of (- b a) in b 0.481 * [taylor]: Taking taylor expansion of b in b 0.481 * [taylor]: Taking taylor expansion of a in b 0.481 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.481 * [taylor]: Taking taylor expansion of (cos 1) in b 0.481 * [taylor]: Taking taylor expansion of 1 in b 0.481 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.481 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.481 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.481 * [taylor]: Taking taylor expansion of (* -1 (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 0.481 * [taylor]: Taking taylor expansion of -1 in a 0.481 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.481 * [taylor]: Taking taylor expansion of a in a 0.481 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.482 * [taylor]: Taking taylor expansion of (cos 1) in a 0.482 * [taylor]: Taking taylor expansion of 1 in a 0.482 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.482 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.482 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.482 * [taylor]: Taking taylor expansion of (cos 1) in a 0.482 * [taylor]: Taking taylor expansion of 1 in a 0.483 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.483 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.483 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.484 * [taylor]: Taking taylor expansion of 0 in a 0.486 * [taylor]: Taking taylor expansion of 0 in a 0.487 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.487 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in a 0.487 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.487 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.487 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.487 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in a 0.487 * [taylor]: Taking taylor expansion of (cos 1) in a 0.487 * [taylor]: Taking taylor expansion of 1 in a 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.487 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.487 * [taylor]: Taking taylor expansion of b in a 0.487 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.487 * [taylor]: Taking taylor expansion of a in a 0.487 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.487 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.487 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.487 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.488 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.488 * [taylor]: Taking taylor expansion of (cos 1) in b 0.488 * [taylor]: Taking taylor expansion of 1 in b 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.488 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.488 * [taylor]: Taking taylor expansion of b in b 0.488 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.488 * [taylor]: Taking taylor expansion of a in b 0.488 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (* (cos 1) (- (/ 1 b) (/ 1 a)))) in b 0.488 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.488 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.488 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.488 * [taylor]: Taking taylor expansion of (* (cos 1) (- (/ 1 b) (/ 1 a))) in b 0.488 * [taylor]: Taking taylor expansion of (cos 1) in b 0.488 * [taylor]: Taking taylor expansion of 1 in b 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.488 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.488 * [taylor]: Taking taylor expansion of b in b 0.488 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.488 * [taylor]: Taking taylor expansion of a in b 0.489 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.489 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.489 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.489 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.489 * [taylor]: Taking taylor expansion of (cos 1) in a 0.489 * [taylor]: Taking taylor expansion of 1 in a 0.490 * [taylor]: Taking taylor expansion of (- (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 0.490 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 0.490 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.490 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.490 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.490 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.490 * [taylor]: Taking taylor expansion of (cos 1) in a 0.490 * [taylor]: Taking taylor expansion of 1 in a 0.490 * [taylor]: Taking taylor expansion of a in a 0.492 * [taylor]: Taking taylor expansion of 0 in a 0.494 * [taylor]: Taking taylor expansion of 0 in a 0.497 * [taylor]: Taking taylor expansion of 0 in a 0.497 * [approximate]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in (b a) around 0 0.497 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.497 * [taylor]: Taking taylor expansion of (cos 1) in a 0.497 * [taylor]: Taking taylor expansion of 1 in a 0.498 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.498 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.498 * [taylor]: Taking taylor expansion of a in a 0.498 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.498 * [taylor]: Taking taylor expansion of b in a 0.498 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.498 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.498 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.498 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.498 * [taylor]: Taking taylor expansion of (cos 1) in b 0.498 * [taylor]: Taking taylor expansion of 1 in b 0.498 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.498 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.498 * [taylor]: Taking taylor expansion of a in b 0.498 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.498 * [taylor]: Taking taylor expansion of b in b 0.498 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.498 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.498 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.498 * [taylor]: Taking taylor expansion of (* (cos 1) (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.498 * [taylor]: Taking taylor expansion of (cos 1) in b 0.498 * [taylor]: Taking taylor expansion of 1 in b 0.499 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.499 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.499 * [taylor]: Taking taylor expansion of a in b 0.499 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.499 * [taylor]: Taking taylor expansion of b in b 0.499 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.499 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.499 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.499 * [taylor]: Taking taylor expansion of (* -1 (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.499 * [taylor]: Taking taylor expansion of -1 in a 0.499 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.499 * [taylor]: Taking taylor expansion of (cos 1) in a 0.499 * [taylor]: Taking taylor expansion of 1 in a 0.499 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.499 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.499 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.500 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 0.500 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.500 * [taylor]: Taking taylor expansion of (cos 1) in a 0.500 * [taylor]: Taking taylor expansion of 1 in a 0.500 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.500 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.500 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.501 * [taylor]: Taking taylor expansion of a in a 0.502 * [taylor]: Taking taylor expansion of 0 in a 0.504 * [taylor]: Taking taylor expansion of 0 in a 0.507 * [taylor]: Taking taylor expansion of 0 in a 0.508 * * * [progress]: simplifying candidates 0.509 * [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)))))) 0.514 * * [simplify]: iteration 0 : 240 enodes (cost 758 ) 0.519 * * [simplify]: iteration 1 : 1120 enodes (cost 651 ) 0.543 * * [simplify]: iteration 2 : 4795 enodes (cost 634 ) 0.617 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.619 * [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)) 0.620 * * * [progress]: adding candidates to table 1.108 * * [progress]: iteration 3 / 4 1.108 * * * [progress]: picking best candidate 1.117 * * * * [pick]: Picked # 1.117 * * * [progress]: localizing error 1.134 * * * [progress]: generating rewritten candidates 1.134 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 1) 1.142 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.177 * * * [progress]: generating series expansions 1.177 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.178 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.178 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.178 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.178 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.178 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.182 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.182 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.182 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.182 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.182 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.182 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.182 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.188 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.188 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.188 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.188 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.188 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.188 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.188 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.193 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 1) 1.193 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.193 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.193 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.193 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.193 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.194 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.194 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.194 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.194 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.194 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.195 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.195 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.195 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.195 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.195 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.196 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 1.196 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.196 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.196 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.196 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.196 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.197 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.197 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.197 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.197 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.197 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.198 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.198 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.198 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.198 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.198 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.202 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 1.202 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.202 * [taylor]: Taking taylor expansion of (cos 1) in b 1.202 * [taylor]: Taking taylor expansion of 1 in b 1.202 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.202 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.202 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.202 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.202 * [taylor]: Taking taylor expansion of (cos 1) in b 1.202 * [taylor]: Taking taylor expansion of 1 in b 1.202 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.202 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.202 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.208 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 1.208 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.209 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.209 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.209 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.209 * [taylor]: Taking taylor expansion of (cos 1) in b 1.209 * [taylor]: Taking taylor expansion of 1 in b 1.209 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.209 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.209 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.209 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.209 * [taylor]: Taking taylor expansion of (cos 1) in b 1.209 * [taylor]: Taking taylor expansion of 1 in b 1.216 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 1.216 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.216 * [taylor]: Taking taylor expansion of (cos 1) in b 1.216 * [taylor]: Taking taylor expansion of 1 in b 1.216 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.216 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.216 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.216 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.216 * [taylor]: Taking taylor expansion of (cos 1) in b 1.216 * [taylor]: Taking taylor expansion of 1 in b 1.216 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.217 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.217 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.224 * * * [progress]: simplifying candidates 1.225 * [simplify]: Simplifying using # : (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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))) (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 (* 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b))))))) (* (* (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (cos 1) (+ 1/2 1/2)) (* (cos 1) (+ 1/2 (/ 1 2))) (* (cos 1) (+ 1 1)) (* (cos 1) (+ (/ 1/2 2) (/ 1/2 2))) (* (cos 1) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cos 1) (+ (/ 1 2) 1/2)) (* (cos 1) (+ (/ 1 2) (/ 1 2))) (* (cos 1) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cos 1) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cos 1) 1/2) (* (cos 1) 1) (* (cos 1) (/ 1/2 2)) (* (cos 1) (/ 1 2)) (* (cos 1) (/ (/ 1 2) 2)) (* (cos 1) 2) (* (cos 1) (+ 1 1)) (* (cos 1) 1) (* (cos 1) (* 2 1/2)) (* (cos 1) (* 2 1)) (* (cos 1) (* 2 (/ 1/2 2))) (* (cos 1) (* 2 (/ 1 2))) (* (cos 1) (* 2 (/ (/ 1 2) 2))) (* (cos 1) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (sqrt (cos 1)) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (log (* (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))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (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)))) 1.230 * * [simplify]: iteration 0 : 186 enodes (cost 575 ) 1.233 * * [simplify]: iteration 1 : 672 enodes (cost 490 ) 1.257 * * [simplify]: iteration 2 : 4815 enodes (cost 458 ) 1.502 * * [simplify]: iteration 3 : 5001 enodes (cost 458 ) 1.506 * [simplify]: Simplified to: (* (log (atan2 b b)) 1/4) (* (log (atan2 b b)) 1/4) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (log (atan2 b b)) 1/4) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (* (log (atan2 b b)) 1/4) (* (log (atan2 b b)) 1/4) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (log (atan2 b b)) 1/4) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (* (log (sqrt (atan2 b b))) 1)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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))) (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)))) (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 (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (cbrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (cos 1) (cos 1) (* (cos 1) 2) (* (cos 1) 1/2) (* (cos 1) 1/2) (cos 1) (cos 1) (* (cos 1) 1/2) (* (cos 1) 1/2) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/4) (* (cos 1) 1/2) (* (cos 1) 1/4) (* (cos 1) 2) (* (cos 1) 2) (cos 1) (cos 1) (* (cos 1) 2) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/2) (* (cos 1) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cos 1) (* 2 (* (cbrt (cos 1)) (log (sqrt (sqrt (atan2 b b)))))) (* 2 (* (sqrt (cos 1)) (log (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (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)) (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)))) 1.506 * * * [progress]: adding candidates to table 2.181 * * [progress]: iteration 4 / 4 2.182 * * * [progress]: picking best candidate 2.195 * * * * [pick]: Picked # 2.195 * * * [progress]: localizing error 2.214 * * * [progress]: generating rewritten candidates 2.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 1) 2.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 1) 2.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 2.238 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 1 2 1) 2.243 * * * [progress]: generating series expansions 2.243 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 1) 2.244 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.244 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.244 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.244 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.244 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.244 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.244 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.248 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.248 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.248 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.248 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.248 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.249 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.249 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.254 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.254 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.254 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.254 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.254 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.254 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.254 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.259 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 1) 2.260 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.260 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.260 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.260 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.260 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.260 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.260 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.264 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.264 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.264 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.264 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.264 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.264 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.264 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.270 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.270 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.270 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.270 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.270 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.270 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.270 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.275 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 2.275 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.275 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.275 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.275 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.275 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.280 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.280 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.280 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.280 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.280 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.280 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.280 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.285 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.285 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.285 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.285 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.285 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.285 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.285 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.291 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 1 2 1) 2.291 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 2.291 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.291 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.291 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.291 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.291 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 2.291 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.291 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.292 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.292 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.292 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 2.293 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.293 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.293 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.293 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.294 * * * [progress]: simplifying candidates 2.295 * [simplify]: Simplifying using # : (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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)) 2.298 * * [simplify]: iteration 0 : 40 enodes (cost 539 ) 2.300 * * [simplify]: iteration 1 : 89 enodes (cost 466 ) 2.302 * * [simplify]: iteration 2 : 273 enodes (cost 460 ) 2.306 * * [simplify]: iteration 3 : 728 enodes (cost 460 ) 2.315 * * [simplify]: iteration 4 : 1750 enodes (cost 460 ) 2.342 * * [simplify]: iteration 5 : 5001 enodes (cost 453 ) 2.344 * [simplify]: Simplified to: (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (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))) (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)) 2.345 * * * [progress]: adding candidates to table 4.037 * [progress]: [Phase 3 of 3] Extracting. 4.037 * * [regime]: Finding splitpoints for: (# #) 4.039 * * * [regime-changes]: Trying 4 branch expressions: ((pow (sqrt (atan2 b b)) (- b a)) (sin (pow (sqrt (atan2 b b)) (- b a))) b a) 4.039 * * * * [regimes]: Trying to branch on (pow (sqrt (atan2 b b)) (- b a)) from (# #) 4.110 * * * * [regimes]: Trying to branch on (sin (pow (sqrt (atan2 b b)) (- b a))) from (# #) 4.191 * * * * [regimes]: Trying to branch on b from (# #) 4.239 * * * * [regimes]: Trying to branch on a from (# #) 4.285 * * * [regime]: Found split indices: #