17.245 * [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 ) 0.081 * * [simplify]: iteration 2 : 44 enodes (cost 5 ) 0.082 * * [simplify]: iteration 3 : 114 enodes (cost 5 ) 0.085 * * [simplify]: iteration 4 : 321 enodes (cost 5 ) 0.092 * * [simplify]: iteration 5 : 1627 enodes (cost 5 ) 0.128 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.128 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.128 * * [progress]: iteration 1 / 4 0.128 * * * [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) 0.146 * * * [progress]: generating series expansions 0.146 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.146 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.146 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.146 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.146 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.146 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.150 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.150 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.150 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.150 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.153 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.153 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.153 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.153 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.156 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.156 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in (b a) around 0 0.156 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in a 0.156 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in a 0.156 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in a 0.156 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in a 0.156 * [taylor]: Taking taylor expansion of (- b a) in a 0.156 * [taylor]: Taking taylor expansion of b in a 0.156 * [taylor]: Taking taylor expansion of a in a 0.156 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.156 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.157 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.157 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.157 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.157 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.157 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.157 * [taylor]: Taking taylor expansion of (- b a) in b 0.157 * [taylor]: Taking taylor expansion of b in b 0.157 * [taylor]: Taking taylor expansion of a in b 0.157 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.157 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.157 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.158 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.158 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.158 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.158 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.158 * [taylor]: Taking taylor expansion of (- b a) in b 0.158 * [taylor]: Taking taylor expansion of b in b 0.158 * [taylor]: Taking taylor expansion of a in b 0.158 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.158 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.158 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.159 * [taylor]: Taking taylor expansion of (sin (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.159 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.159 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.159 * [taylor]: Taking taylor expansion of -1 in a 0.159 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.159 * [taylor]: Taking taylor expansion of a in a 0.159 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.159 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.159 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.166 * [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 0.166 * [taylor]: Taking taylor expansion of (cos (exp (* -1 (* a (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 0.168 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b)))) in a 0.168 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.168 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.168 * [taylor]: Taking taylor expansion of -1 in a 0.168 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.168 * [taylor]: Taking taylor expansion of a in a 0.168 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.168 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.170 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.170 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.175 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.175 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a 0.175 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a 0.175 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in a 0.175 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in a 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.175 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.175 * [taylor]: Taking taylor expansion of b in a 0.175 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.175 * [taylor]: Taking taylor expansion of a in a 0.176 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.176 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.177 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.177 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.177 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.177 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.177 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.177 * [taylor]: Taking taylor expansion of b in b 0.177 * [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 0.179 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.179 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.179 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.179 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.179 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.179 * [taylor]: Taking taylor expansion of b in b 0.179 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.179 * [taylor]: Taking taylor expansion of a in b 0.179 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.179 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.181 * [taylor]: Taking taylor expansion of (sin (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))))) in a 0.181 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a 0.181 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a 0.181 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.181 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.181 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.181 * [taylor]: Taking taylor expansion of b in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.181 * [taylor]: Taking taylor expansion of a in a 0.185 * [taylor]: Taking taylor expansion of 0 in a 0.189 * [taylor]: Taking taylor expansion of 0 in a 0.193 * [taylor]: Taking taylor expansion of 0 in a 0.194 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 0.194 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.194 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.194 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.194 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.194 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.194 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.194 * [taylor]: Taking taylor expansion of a in a 0.194 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.194 * [taylor]: Taking taylor expansion of b in a 0.194 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.194 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.194 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.195 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.196 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.196 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.196 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.196 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.196 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.196 * [taylor]: Taking taylor expansion of a in b 0.196 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.196 * [taylor]: Taking taylor expansion of b in b 0.196 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.196 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.196 * [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 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 0.197 * [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 0.199 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.199 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.199 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.199 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.199 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.199 * [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 0.206 * [taylor]: Taking taylor expansion of 0 in a 0.210 * [taylor]: Taking taylor expansion of 0 in a 0.215 * [taylor]: Taking taylor expansion of 0 in a 0.215 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying using # : (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (sin (pow (sqrt (atan2 b b)) (- b a)))) (log1p (sin (pow (sqrt (atan2 b b)) (- b a)))) (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))) 0.219 * * [simplify]: iteration 0 : 65 enodes (cost 150 ) 0.220 * * [simplify]: iteration 1 : 112 enodes (cost 137 ) 0.223 * * [simplify]: iteration 2 : 200 enodes (cost 132 ) 0.226 * * [simplify]: iteration 3 : 372 enodes (cost 131 ) 0.231 * * [simplify]: iteration 4 : 681 enodes (cost 131 ) 0.243 * * [simplify]: iteration 5 : 2254 enodes (cost 131 ) 0.281 * * [simplify]: iteration 6 : 5001 enodes (cost 130 ) 0.282 * [simplify]: Simplified to: (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (sin (pow (sqrt (atan2 b b)) (- b a)))) (log1p (sin (pow (sqrt (atan2 b b)) (- b a)))) (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)) (fma (* (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))) 0.282 * * * [progress]: adding candidates to table 0.353 * * [progress]: iteration 2 / 4 0.353 * * * [progress]: picking best candidate 0.356 * * * * [pick]: Picked # 0.356 * * * [progress]: localizing error 0.368 * * * [progress]: generating rewritten candidates 0.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.370 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.378 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.380 * * * [progress]: generating series expansions 0.380 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.380 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 0.380 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.380 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.380 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.380 * [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 0.402 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 0.402 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.402 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.402 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.402 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.402 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.402 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.423 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 0.423 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.423 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.424 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.424 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.424 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.424 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.446 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.446 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.446 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.446 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.446 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.449 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.449 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.449 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.449 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.449 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.452 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.452 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.452 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.453 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.453 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.456 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.456 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 0.456 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.456 * [taylor]: Taking taylor expansion of (cos 1) in b 0.456 * [taylor]: Taking taylor expansion of 1 in b 0.457 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.457 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.457 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.457 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.457 * [taylor]: Taking taylor expansion of (cos 1) in b 0.457 * [taylor]: Taking taylor expansion of 1 in b 0.457 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.457 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.457 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.509 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 0.509 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.509 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.509 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.509 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.509 * [taylor]: Taking taylor expansion of (cos 1) in b 0.509 * [taylor]: Taking taylor expansion of 1 in b 0.510 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.510 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.510 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.510 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.510 * [taylor]: Taking taylor expansion of (cos 1) in b 0.510 * [taylor]: Taking taylor expansion of 1 in b 0.561 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 0.561 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.561 * [taylor]: Taking taylor expansion of (cos 1) in b 0.561 * [taylor]: Taking taylor expansion of 1 in b 0.562 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.562 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.562 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.562 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.562 * [taylor]: Taking taylor expansion of (cos 1) in b 0.562 * [taylor]: Taking taylor expansion of 1 in b 0.563 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.563 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.563 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.613 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.613 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in (b a) around 0 0.614 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in a 0.614 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.614 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in a 0.614 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.614 * [taylor]: Taking taylor expansion of (cos 1) in a 0.614 * [taylor]: Taking taylor expansion of 1 in a 0.614 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.614 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.614 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.614 * [taylor]: Taking taylor expansion of (- b a) in a 0.614 * [taylor]: Taking taylor expansion of b in a 0.614 * [taylor]: Taking taylor expansion of a in a 0.615 * [taylor]: Taking taylor expansion of (sin 1) in a 0.615 * [taylor]: Taking taylor expansion of 1 in a 0.615 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 0.615 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.615 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 0.615 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.615 * [taylor]: Taking taylor expansion of (cos 1) in b 0.615 * [taylor]: Taking taylor expansion of 1 in b 0.616 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.616 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.616 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.616 * [taylor]: Taking taylor expansion of (- b a) in b 0.616 * [taylor]: Taking taylor expansion of b in b 0.616 * [taylor]: Taking taylor expansion of a in b 0.616 * [taylor]: Taking taylor expansion of (sin 1) in b 0.616 * [taylor]: Taking taylor expansion of 1 in b 0.616 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 0.617 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.617 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 0.617 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.617 * [taylor]: Taking taylor expansion of (cos 1) in b 0.617 * [taylor]: Taking taylor expansion of 1 in b 0.617 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.617 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.617 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.620 * [taylor]: Taking taylor expansion of (- b a) in b 0.620 * [taylor]: Taking taylor expansion of b in b 0.620 * [taylor]: Taking taylor expansion of a in b 0.620 * [taylor]: Taking taylor expansion of (sin 1) in b 0.620 * [taylor]: Taking taylor expansion of 1 in b 0.625 * [taylor]: Taking taylor expansion of (- (sin 1) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 0.625 * [taylor]: Taking taylor expansion of (sin 1) in a 0.625 * [taylor]: Taking taylor expansion of 1 in a 0.625 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.625 * [taylor]: Taking taylor expansion of a in a 0.625 * [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 0.626 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.626 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.626 * [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 0.637 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.637 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.637 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.647 * [approximate]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in (b a) around 0 0.647 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in a 0.647 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.647 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in a 0.647 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.647 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.647 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.647 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.647 * [taylor]: Taking taylor expansion of (cos 1) in a 0.647 * [taylor]: Taking taylor expansion of 1 in a 0.648 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.648 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.648 * [taylor]: Taking taylor expansion of b in a 0.648 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.648 * [taylor]: Taking taylor expansion of a in a 0.648 * [taylor]: Taking taylor expansion of (sin 1) in a 0.649 * [taylor]: Taking taylor expansion of 1 in a 0.649 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 0.649 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.649 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 0.649 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.649 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.649 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.649 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.650 * [taylor]: Taking taylor expansion of (cos 1) in b 0.650 * [taylor]: Taking taylor expansion of 1 in b 0.650 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.650 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.650 * [taylor]: Taking taylor expansion of b in b 0.650 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.650 * [taylor]: Taking taylor expansion of a in b 0.650 * [taylor]: Taking taylor expansion of (sin 1) in b 0.650 * [taylor]: Taking taylor expansion of 1 in b 0.651 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 0.651 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.651 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 0.651 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.651 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.651 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.651 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.651 * [taylor]: Taking taylor expansion of (cos 1) in b 0.651 * [taylor]: Taking taylor expansion of 1 in b 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.652 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.652 * [taylor]: Taking taylor expansion of b in b 0.652 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.652 * [taylor]: Taking taylor expansion of a in b 0.652 * [taylor]: Taking taylor expansion of (sin 1) in b 0.652 * [taylor]: Taking taylor expansion of 1 in b 0.656 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.656 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.656 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.656 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.656 * [taylor]: Taking taylor expansion of (cos 1) in a 0.656 * [taylor]: Taking taylor expansion of 1 in a 0.662 * [taylor]: Taking taylor expansion of (- (sin 1) (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 0.662 * [taylor]: Taking taylor expansion of (sin 1) in a 0.662 * [taylor]: Taking taylor expansion of 1 in a 0.663 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 0.663 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.663 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.663 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.663 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.663 * [taylor]: Taking taylor expansion of (cos 1) in a 0.663 * [taylor]: Taking taylor expansion of 1 in a 0.664 * [taylor]: Taking taylor expansion of a in a 0.677 * [taylor]: Taking taylor expansion of 0 in a 0.685 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in (b a) around 0 0.685 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in a 0.685 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.685 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in a 0.685 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.685 * [taylor]: Taking taylor expansion of (cos 1) in a 0.685 * [taylor]: Taking taylor expansion of 1 in a 0.685 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.685 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.685 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.686 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.686 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.686 * [taylor]: Taking taylor expansion of a in a 0.686 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.686 * [taylor]: Taking taylor expansion of b in a 0.686 * [taylor]: Taking taylor expansion of (sin 1) in a 0.686 * [taylor]: Taking taylor expansion of 1 in a 0.687 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 0.687 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.687 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 0.687 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.687 * [taylor]: Taking taylor expansion of (cos 1) in b 0.687 * [taylor]: Taking taylor expansion of 1 in b 0.687 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.687 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.687 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.688 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.688 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.688 * [taylor]: Taking taylor expansion of a in b 0.688 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.688 * [taylor]: Taking taylor expansion of b in b 0.688 * [taylor]: Taking taylor expansion of (sin 1) in b 0.688 * [taylor]: Taking taylor expansion of 1 in b 0.688 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 0.689 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.689 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 0.689 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.689 * [taylor]: Taking taylor expansion of (cos 1) in b 0.689 * [taylor]: Taking taylor expansion of 1 in b 0.689 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.689 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.689 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.689 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.689 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.689 * [taylor]: Taking taylor expansion of a in b 0.689 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.689 * [taylor]: Taking taylor expansion of b in b 0.690 * [taylor]: Taking taylor expansion of (sin 1) in b 0.690 * [taylor]: Taking taylor expansion of 1 in b 0.693 * [taylor]: Taking taylor expansion of (- (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.693 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.693 * [taylor]: Taking taylor expansion of (cos 1) in a 0.693 * [taylor]: Taking taylor expansion of 1 in a 0.694 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.694 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.694 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.700 * [taylor]: Taking taylor expansion of (+ (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) (sin 1)) in a 0.700 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 0.700 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.700 * [taylor]: Taking taylor expansion of (cos 1) in a 0.700 * [taylor]: Taking taylor expansion of 1 in a 0.701 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.701 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.701 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.701 * [taylor]: Taking taylor expansion of a in a 0.703 * [taylor]: Taking taylor expansion of (sin 1) in a 0.703 * [taylor]: Taking taylor expansion of 1 in a 0.718 * [taylor]: Taking taylor expansion of 0 in a 0.725 * * * [progress]: simplifying candidates 0.726 * [simplify]: Simplifying using # : (expm1 (log (sqrt (atan2 b b)))) (log1p (log (sqrt (atan2 b b)))) (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)))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (sqrt (atan2 b b))))) (log1p (* (cos 1) (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)))) (expm1 (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (* (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (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 (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 0.730 * * [simplify]: iteration 0 : 152 enodes (cost 636 ) 0.733 * * [simplify]: iteration 1 : 487 enodes (cost 554 ) 0.742 * * [simplify]: iteration 2 : 1554 enodes (cost 539 ) 0.763 * * [simplify]: iteration 3 : 4729 enodes (cost 539 ) 0.852 * * [simplify]: iteration 4 : 5001 enodes (cost 539 ) 0.855 * [simplify]: Simplified to: (expm1 (log (sqrt (atan2 b b)))) (log1p (log (sqrt (atan2 b b)))) (* 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)))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (sqrt (atan2 b b))))) (log1p (* (cos 1) (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)))) (expm1 (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (pow (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 3) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (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)))) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 0.855 * * * [progress]: adding candidates to table 1.060 * * [progress]: iteration 3 / 4 1.060 * * * [progress]: picking best candidate 1.063 * * * * [pick]: Picked # 1.064 * * * [progress]: localizing error 1.082 * * * [progress]: generating rewritten candidates 1.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.085 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1) 1.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.093 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.095 * * * [progress]: generating series expansions 1.095 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.096 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.096 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.096 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.096 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.096 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.096 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.096 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.117 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.117 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.117 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.117 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.117 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.117 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.117 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.139 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.139 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.139 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.139 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.140 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.140 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.140 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.165 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1) 1.165 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.165 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.165 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.165 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.165 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.168 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.168 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.168 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.171 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.171 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.171 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.172 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.172 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.175 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.175 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 1.175 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.175 * [taylor]: Taking taylor expansion of (cos 1) in b 1.175 * [taylor]: Taking taylor expansion of 1 in b 1.176 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.176 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.176 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.176 * [taylor]: Taking taylor expansion of (cos 1) in b 1.176 * [taylor]: Taking taylor expansion of 1 in b 1.176 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.176 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.226 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 1.226 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.226 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.227 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.227 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.227 * [taylor]: Taking taylor expansion of (cos 1) in b 1.227 * [taylor]: Taking taylor expansion of 1 in b 1.227 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.227 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.227 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.227 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.228 * [taylor]: Taking taylor expansion of (cos 1) in b 1.228 * [taylor]: Taking taylor expansion of 1 in b 1.279 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 1.279 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.279 * [taylor]: Taking taylor expansion of (cos 1) in b 1.279 * [taylor]: Taking taylor expansion of 1 in b 1.279 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.279 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.279 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.280 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.280 * [taylor]: Taking taylor expansion of (cos 1) in b 1.280 * [taylor]: Taking taylor expansion of 1 in b 1.280 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.280 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.280 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.333 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.334 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in (b a) around 0 1.334 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in a 1.334 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 1.334 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in a 1.334 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.334 * [taylor]: Taking taylor expansion of (cos 1) in a 1.334 * [taylor]: Taking taylor expansion of 1 in a 1.335 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.335 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.335 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.335 * [taylor]: Taking taylor expansion of (- b a) in a 1.335 * [taylor]: Taking taylor expansion of b in a 1.335 * [taylor]: Taking taylor expansion of a in a 1.335 * [taylor]: Taking taylor expansion of (sin 1) in a 1.335 * [taylor]: Taking taylor expansion of 1 in a 1.336 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 1.336 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 1.336 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 1.336 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.336 * [taylor]: Taking taylor expansion of (cos 1) in b 1.336 * [taylor]: Taking taylor expansion of 1 in b 1.336 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.336 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.336 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.337 * [taylor]: Taking taylor expansion of (- b a) in b 1.337 * [taylor]: Taking taylor expansion of b in b 1.337 * [taylor]: Taking taylor expansion of a in b 1.337 * [taylor]: Taking taylor expansion of (sin 1) in b 1.337 * [taylor]: Taking taylor expansion of 1 in b 1.337 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 1.337 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 1.337 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 1.337 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.337 * [taylor]: Taking taylor expansion of (cos 1) in b 1.337 * [taylor]: Taking taylor expansion of 1 in b 1.338 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.338 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.338 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.338 * [taylor]: Taking taylor expansion of (- b a) in b 1.338 * [taylor]: Taking taylor expansion of b in b 1.338 * [taylor]: Taking taylor expansion of a in b 1.338 * [taylor]: Taking taylor expansion of (sin 1) in b 1.338 * [taylor]: Taking taylor expansion of 1 in b 1.343 * [taylor]: Taking taylor expansion of (- (sin 1) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 1.343 * [taylor]: Taking taylor expansion of (sin 1) in a 1.343 * [taylor]: Taking taylor expansion of 1 in a 1.343 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 1.343 * [taylor]: Taking taylor expansion of a in a 1.343 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.343 * [taylor]: Taking taylor expansion of (cos 1) in a 1.343 * [taylor]: Taking taylor expansion of 1 in a 1.344 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.344 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.344 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.354 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 1.354 * [taylor]: Taking taylor expansion of (cos 1) in a 1.354 * [taylor]: Taking taylor expansion of 1 in a 1.354 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 1.354 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 1.354 * [taylor]: Taking taylor expansion of (atan2 b b) in a 1.364 * [approximate]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in (b a) around 0 1.364 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in a 1.364 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 1.364 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in a 1.364 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.364 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.364 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.364 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.365 * [taylor]: Taking taylor expansion of (cos 1) in a 1.365 * [taylor]: Taking taylor expansion of 1 in a 1.365 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.365 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.365 * [taylor]: Taking taylor expansion of b in a 1.365 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.365 * [taylor]: Taking taylor expansion of a in a 1.366 * [taylor]: Taking taylor expansion of (sin 1) in a 1.366 * [taylor]: Taking taylor expansion of 1 in a 1.366 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 1.366 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 1.366 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 1.366 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.366 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.366 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.366 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.367 * [taylor]: Taking taylor expansion of (cos 1) in b 1.367 * [taylor]: Taking taylor expansion of 1 in b 1.367 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.367 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.367 * [taylor]: Taking taylor expansion of b in b 1.367 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.367 * [taylor]: Taking taylor expansion of a in b 1.367 * [taylor]: Taking taylor expansion of (sin 1) in b 1.367 * [taylor]: Taking taylor expansion of 1 in b 1.368 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 1.368 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 1.368 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 1.368 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.368 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.368 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.368 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.368 * [taylor]: Taking taylor expansion of (cos 1) in b 1.368 * [taylor]: Taking taylor expansion of 1 in b 1.369 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.369 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.369 * [taylor]: Taking taylor expansion of b in b 1.369 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.369 * [taylor]: Taking taylor expansion of a in b 1.369 * [taylor]: Taking taylor expansion of (sin 1) in b 1.369 * [taylor]: Taking taylor expansion of 1 in b 1.372 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.372 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.373 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.373 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.373 * [taylor]: Taking taylor expansion of (cos 1) in a 1.373 * [taylor]: Taking taylor expansion of 1 in a 1.379 * [taylor]: Taking taylor expansion of (- (sin 1) (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 1.379 * [taylor]: Taking taylor expansion of (sin 1) in a 1.379 * [taylor]: Taking taylor expansion of 1 in a 1.380 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 1.380 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 1.380 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 1.380 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 1.380 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 1.380 * [taylor]: Taking taylor expansion of (cos 1) in a 1.380 * [taylor]: Taking taylor expansion of 1 in a 1.381 * [taylor]: Taking taylor expansion of a in a 1.394 * [taylor]: Taking taylor expansion of 0 in a 1.405 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in (b a) around 0 1.405 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in a 1.405 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 1.405 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in a 1.405 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.405 * [taylor]: Taking taylor expansion of (cos 1) in a 1.405 * [taylor]: Taking taylor expansion of 1 in a 1.406 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.406 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.406 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.406 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.406 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.406 * [taylor]: Taking taylor expansion of a in a 1.406 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.406 * [taylor]: Taking taylor expansion of b in a 1.406 * [taylor]: Taking taylor expansion of (sin 1) in a 1.406 * [taylor]: Taking taylor expansion of 1 in a 1.407 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 1.407 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 1.407 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 1.407 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.407 * [taylor]: Taking taylor expansion of (cos 1) in b 1.407 * [taylor]: Taking taylor expansion of 1 in b 1.407 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.407 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.407 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.408 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.408 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.408 * [taylor]: Taking taylor expansion of a in b 1.408 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.408 * [taylor]: Taking taylor expansion of b in b 1.408 * [taylor]: Taking taylor expansion of (sin 1) in b 1.408 * [taylor]: Taking taylor expansion of 1 in b 1.408 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 1.409 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 1.409 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 1.409 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.409 * [taylor]: Taking taylor expansion of (cos 1) in b 1.409 * [taylor]: Taking taylor expansion of 1 in b 1.409 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.409 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.409 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.409 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.409 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.410 * [taylor]: Taking taylor expansion of a in b 1.410 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.410 * [taylor]: Taking taylor expansion of b in b 1.410 * [taylor]: Taking taylor expansion of (sin 1) in b 1.410 * [taylor]: Taking taylor expansion of 1 in b 1.413 * [taylor]: Taking taylor expansion of (- (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 1.413 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.413 * [taylor]: Taking taylor expansion of (cos 1) in a 1.413 * [taylor]: Taking taylor expansion of 1 in a 1.414 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.414 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.414 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.420 * [taylor]: Taking taylor expansion of (+ (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) (sin 1)) in a 1.421 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 1.421 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 1.421 * [taylor]: Taking taylor expansion of (cos 1) in a 1.421 * [taylor]: Taking taylor expansion of 1 in a 1.421 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 1.421 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 1.421 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 1.421 * [taylor]: Taking taylor expansion of a in a 1.424 * [taylor]: Taking taylor expansion of (sin 1) in a 1.424 * [taylor]: Taking taylor expansion of 1 in a 1.435 * [taylor]: Taking taylor expansion of 0 in a 1.442 * * * [progress]: simplifying candidates 1.444 * [simplify]: Simplifying using # : (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (log1p (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (+ (log (cos 1)) (log (log (log (exp (sqrt (atan2 b b))))))) (log (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (exp (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (* (* (cos 1) (cos 1)) (cos 1)) (* (* (log (log (exp (sqrt (atan2 b b))))) (log (log (exp (sqrt (atan2 b b)))))) (log (log (exp (sqrt (atan2 b b))))))) (* (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (* (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log 1)) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (log (exp (sqrt 1))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (log (exp 1)))) (* (cos 1) (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b)))))))) (* (cos 1) (log (cbrt (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (log (exp (sqrt (atan2 b b))))))) (* (cos 1) (log 1)) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (* (log 1) (cos 1)) (* (log (log (exp (sqrt (atan2 b b))))) (cos 1)) (* (log (cbrt (sqrt (atan2 b b)))) (cos 1)) (* (log (log (exp (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))))) (cos 1)) (* (log (sqrt (cbrt (atan2 b b)))) (cos 1)) (* (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b))))))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (log (exp (sqrt (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (log (log (exp (sqrt 1)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (log (exp (sqrt (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (atan2 b b))) (cos 1)) (* (log (log (exp 1))) (cos 1)) (* (log (* (cbrt (log (exp (sqrt (atan2 b b))))) (cbrt (log (exp (sqrt (atan2 b b))))))) (cos 1)) (* (log (cbrt (log (exp (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (log (exp (sqrt (atan2 b b)))))) (cos 1)) (* (log (sqrt (log (exp (sqrt (atan2 b b)))))) (cos 1)) (* (log 1) (cos 1)) (* (log (log (exp (sqrt (atan2 b b))))) (cos 1)) (* (cos 1) 1) (* (cos 1) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (log (exp (sqrt (atan2 b b)))))) (* (sqrt (cos 1)) (log (log (exp (sqrt (atan2 b b)))))) (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (expm1 (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a)) (log (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (* (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1)) (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (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 (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) (- (+ (* (cos 1) (* b (log (sqrt (atan2 b b))))) (sin 1)) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) 1.449 * * [simplify]: iteration 0 : 180 enodes (cost 862 ) 1.452 * * [simplify]: iteration 1 : 533 enodes (cost 717 ) 1.460 * * [simplify]: iteration 2 : 1442 enodes (cost 684 ) 1.482 * * [simplify]: iteration 3 : 4670 enodes (cost 684 ) 1.571 * * [simplify]: iteration 4 : 5001 enodes (cost 684 ) 1.574 * [simplify]: Simplified to: (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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))) (expm1 (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (log1p (* (cos 1) (log (log (exp (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 (log (exp (sqrt (atan2 b b))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))))) (cbrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (log (exp (sqrt (atan2 b b))))))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (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)))) 0 (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (cbrt (sqrt (atan2 b b))))) (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (sqrt (cbrt (atan2 b b))))) (* (cos 1) (log (log (exp (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (atan2 b b)))) 0 (* (cos 1) (* 2 (log (cbrt (sqrt (atan2 b b)))))) (* (cos 1) (log (cbrt (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) (* (cos 1) (* (cbrt (log (log (exp (sqrt (atan2 b b)))))) (cbrt (log (log (exp (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (log (exp (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)))) (expm1 (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (log1p (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (log (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (exp (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1))) (* (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1)))) (cbrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (pow (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 3) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (sqrt (fma (* (cos 1) (log (log (exp (sqrt (atan2 b b)))))) (- b a) (sin 1))) (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)))) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) 1.575 * * * [progress]: adding candidates to table 1.827 * * [progress]: iteration 4 / 4 1.827 * * * [progress]: picking best candidate 1.830 * * * * [pick]: Picked # 1.831 * * * [progress]: localizing error 1.855 * * * [progress]: generating rewritten candidates 1.855 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 1.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 1.860 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2) 1.862 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1 1) 1.865 * * * [progress]: generating series expansions 1.865 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 1.865 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.865 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.865 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.865 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.865 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.865 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.865 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.887 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.887 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.887 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.887 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.888 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.888 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.888 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.910 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.910 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.910 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.910 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.910 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.910 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.910 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.936 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 1.936 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.936 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.936 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.936 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.936 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.936 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.936 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.958 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.958 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.958 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.958 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.958 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.958 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.958 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.980 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.980 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.980 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.980 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.980 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.980 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.980 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.002 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2) 2.002 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.002 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.002 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.002 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.002 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.002 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.002 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.025 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.025 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.025 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.025 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.025 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.025 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.025 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.047 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.047 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.047 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.047 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.047 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.047 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.047 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1 1) 2.069 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 2.069 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.069 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.069 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.069 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.072 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 2.072 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.072 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.072 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.072 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.075 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 2.075 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.075 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.075 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.075 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.078 * * * [progress]: simplifying candidates 2.080 * [simplify]: Simplifying using # : (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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)) 2.083 * * [simplify]: iteration 0 : 65 enodes (cost 545 ) 2.085 * * [simplify]: iteration 1 : 89 enodes (cost 466 ) 2.087 * * [simplify]: iteration 2 : 118 enodes (cost 466 ) 2.088 * * [simplify]: iteration 3 : 156 enodes (cost 466 ) 2.091 * * [simplify]: iteration 4 : 285 enodes (cost 466 ) 2.095 * * [simplify]: iteration 5 : 767 enodes (cost 466 ) 2.111 * * [simplify]: iteration 6 : 3559 enodes (cost 465 ) 2.168 * * [simplify]: iteration 7 : 5001 enodes (cost 459 ) 2.173 * [simplify]: Simplified to: (expm1 (log (log (exp (sqrt (atan2 b b)))))) (log1p (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))) (log (log (exp (sqrt 1)))) (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 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(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)))))) (expm1 (sqrt (atan2 b b))) (log1p (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)) 2.174 * * * [progress]: adding candidates to table 2.544 * [progress]: [Phase 3 of 3] Extracting. 2.544 * * [regime]: Finding splitpoints for: (# #) 2.545 * * * [regime-changes]: Trying 4 branch expressions: ((pow (sqrt (atan2 b b)) (- b a)) (sin (pow (sqrt (atan2 b b)) (- b a))) b a) 2.545 * * * * [regimes]: Trying to branch on (pow (sqrt (atan2 b b)) (- b a)) from (# #) 2.568 * * * * [regimes]: Trying to branch on (sin (pow (sqrt (atan2 b b)) (- b a))) from (# #) 2.592 * * * * [regimes]: Trying to branch on b from (# #) 2.607 * * * * [regimes]: Trying to branch on a from (# #) 2.621 * * * [regime]: Found split indices: #