25.429 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.095 * [progress]: [Phase 2 of 3] Improving. 0.095 * [simplify]: Simplifying using # : (sin (pow (sqrt (atan2 b b)) (- b a))) 0.097 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.099 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.100 * * [simplify]: iteration 2 : 44 enodes (cost 5 ) 0.101 * * [simplify]: iteration 3 : 114 enodes (cost 5 ) 0.104 * * [simplify]: iteration 4 : 321 enodes (cost 5 ) 0.111 * * [simplify]: iteration 5 : 1627 enodes (cost 5 ) 0.145 * * [simplify]: iteration 6 : 5001 enodes (cost 5 ) 0.145 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.158 * * * [progress]: generating rewritten candidates 0.158 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.159 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.166 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.166 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.166 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.166 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.167 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.167 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.167 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.167 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.168 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.168 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.168 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.169 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.169 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in (b a) around 0 0.169 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in a 0.169 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in a 0.169 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in a 0.169 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in a 0.169 * [taylor]: Taking taylor expansion of (- b a) in a 0.169 * [taylor]: Taking taylor expansion of b in a 0.169 * [taylor]: Taking taylor expansion of a in a 0.169 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.169 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.169 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.170 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.170 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.170 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.170 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.170 * [taylor]: Taking taylor expansion of (- b a) in b 0.170 * [taylor]: Taking taylor expansion of b in b 0.170 * [taylor]: Taking taylor expansion of a in b 0.170 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.170 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.170 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 b b)) (- b a))) in b 0.170 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 b b)) (- b a)) in b 0.170 * [taylor]: Taking taylor expansion of (exp (* (- b a) (log (sqrt (atan2 b b))))) in b 0.170 * [taylor]: Taking taylor expansion of (* (- b a) (log (sqrt (atan2 b b)))) in b 0.170 * [taylor]: Taking taylor expansion of (- b a) in b 0.170 * [taylor]: Taking taylor expansion of b in b 0.170 * [taylor]: Taking taylor expansion of a in b 0.170 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.170 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.171 * [taylor]: Taking taylor expansion of (sin (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.171 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.171 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.171 * [taylor]: Taking taylor expansion of -1 in a 0.171 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.171 * [taylor]: Taking taylor expansion of a in a 0.171 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.171 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.171 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.173 * [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 0.173 * [taylor]: Taking taylor expansion of (cos (exp (* -1 (* a (log (sqrt (atan2 b b))))))) in a 0.173 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.173 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.173 * [taylor]: Taking taylor expansion of -1 in a 0.173 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.173 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.173 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.174 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* a (log (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b)))) in a 0.174 * [taylor]: Taking taylor expansion of (exp (* -1 (* a (log (sqrt (atan2 b b)))))) in a 0.174 * [taylor]: Taking taylor expansion of (* -1 (* a (log (sqrt (atan2 b b))))) in a 0.174 * [taylor]: Taking taylor expansion of -1 in a 0.174 * [taylor]: Taking taylor expansion of (* a (log (sqrt (atan2 b b)))) in a 0.174 * [taylor]: Taking taylor expansion of a in a 0.174 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.174 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.174 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.174 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.174 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.174 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.176 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 0.176 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a 0.176 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a 0.176 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in a 0.176 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in a 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.176 * [taylor]: Taking taylor expansion of b in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.176 * [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 0.178 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b 0.178 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ 1 b) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b 0.178 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b)))))) in b 0.178 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (log (sqrt (atan2 (/ 1 b) (/ 1 b))))) in b 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.178 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.178 * [taylor]: Taking taylor expansion of b in b 0.178 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.178 * [taylor]: Taking taylor expansion of a in b 0.178 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.178 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.179 * [taylor]: Taking taylor expansion of (sin (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))))) in a 0.179 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a 0.179 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a 0.179 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.179 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.179 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.180 * [taylor]: Taking taylor expansion of b in a 0.180 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.180 * [taylor]: Taking taylor expansion of a in a 0.181 * [taylor]: Taking taylor expansion of 0 in a 0.182 * [taylor]: Taking taylor expansion of 0 in a 0.183 * [taylor]: Taking taylor expansion of 0 in a 0.183 * [approximate]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 0.183 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.183 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.183 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.183 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.183 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.183 * [taylor]: Taking taylor expansion of a in a 0.183 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.183 * [taylor]: Taking taylor expansion of b in a 0.183 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.184 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.184 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.184 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.184 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.184 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.184 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.184 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.184 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.184 * [taylor]: Taking taylor expansion of a in b 0.184 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.184 * [taylor]: Taking taylor expansion of b in b 0.184 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.184 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.184 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.185 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in b 0.185 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in b 0.185 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in b 0.185 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.185 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.185 * [taylor]: Taking taylor expansion of a in b 0.185 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.185 * [taylor]: Taking taylor expansion of b in b 0.185 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.185 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.185 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.187 * [taylor]: Taking taylor expansion of (sin (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b)))) in a 0.187 * [taylor]: Taking taylor expansion of (pow (sqrt (atan2 (/ -1 b) (/ -1 b))) (- (/ 1 a) (/ 1 b))) in a 0.187 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.187 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.187 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.187 * [taylor]: Taking taylor expansion of a in a 0.187 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.187 * [taylor]: Taking taylor expansion of b in a 0.187 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.187 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.187 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.188 * [taylor]: Taking taylor expansion of 0 in a 0.189 * [taylor]: Taking taylor expansion of 0 in a 0.190 * [taylor]: Taking taylor expansion of 0 in a 0.191 * * * [progress]: simplifying candidates 0.191 * [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))) 0.194 * * [simplify]: iteration 0 : 65 enodes (cost 150 ) 0.195 * * [simplify]: iteration 1 : 112 enodes (cost 137 ) 0.197 * * [simplify]: iteration 2 : 200 enodes (cost 132 ) 0.201 * * [simplify]: iteration 3 : 372 enodes (cost 131 ) 0.206 * * [simplify]: iteration 4 : 681 enodes (cost 131 ) 0.217 * * [simplify]: iteration 5 : 2254 enodes (cost 131 ) 0.253 * * [simplify]: iteration 6 : 5001 enodes (cost 130 ) 0.254 * [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))) 0.254 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 2 / 4 0.399 * * * [progress]: picking best candidate 0.407 * * * * [pick]: Picked # 0.407 * * * [progress]: localizing error 0.419 * * * [progress]: generating rewritten candidates 0.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.420 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.421 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.427 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.429 * * * [progress]: generating series expansions 0.429 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.429 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 0.429 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.429 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.429 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.429 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.429 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.429 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.433 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 0.433 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.433 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.433 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.434 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.434 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.434 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.439 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 0.439 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.439 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.439 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.439 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.439 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.439 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.444 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 0.444 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.444 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.444 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.444 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.445 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.445 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.445 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.445 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.446 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.446 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.446 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.446 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.447 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.447 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 0.447 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.447 * [taylor]: Taking taylor expansion of (cos 1) in b 0.447 * [taylor]: Taking taylor expansion of 1 in b 0.447 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.447 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.447 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.447 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.447 * [taylor]: Taking taylor expansion of (cos 1) in b 0.447 * [taylor]: Taking taylor expansion of 1 in b 0.447 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.447 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.447 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.453 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 0.453 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.453 * [taylor]: Taking taylor expansion of (log (sqrt (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 0.454 * [taylor]: Taking taylor expansion of (cos 1) in b 0.454 * [taylor]: Taking taylor expansion of 1 in b 0.454 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.454 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.454 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.454 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.454 * [taylor]: Taking taylor expansion of (cos 1) in b 0.454 * [taylor]: Taking taylor expansion of 1 in b 0.461 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 0.461 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.461 * [taylor]: Taking taylor expansion of (cos 1) in b 0.461 * [taylor]: Taking taylor expansion of 1 in b 0.461 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.461 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.461 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.461 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.461 * [taylor]: Taking taylor expansion of (cos 1) in b 0.461 * [taylor]: Taking taylor expansion of 1 in b 0.461 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.461 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.461 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.468 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.469 * [approximate]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in (b a) around 0 0.469 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in a 0.469 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.469 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in a 0.469 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.469 * [taylor]: Taking taylor expansion of (cos 1) in a 0.469 * [taylor]: Taking taylor expansion of 1 in a 0.469 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.469 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.469 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.469 * [taylor]: Taking taylor expansion of (- b a) in a 0.469 * [taylor]: Taking taylor expansion of b in a 0.469 * [taylor]: Taking taylor expansion of a in a 0.469 * [taylor]: Taking taylor expansion of (sin 1) in a 0.469 * [taylor]: Taking taylor expansion of 1 in a 0.469 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 0.469 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.469 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 0.469 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.469 * [taylor]: Taking taylor expansion of (cos 1) in b 0.469 * [taylor]: Taking taylor expansion of 1 in b 0.469 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.469 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.469 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.469 * [taylor]: Taking taylor expansion of (- b a) in b 0.469 * [taylor]: Taking taylor expansion of b in b 0.470 * [taylor]: Taking taylor expansion of a in b 0.470 * [taylor]: Taking taylor expansion of (sin 1) in b 0.470 * [taylor]: Taking taylor expansion of 1 in b 0.470 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 b b)))) (- b a) (sin 1)) in b 0.470 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) (sin 1)) 0.470 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 b b)))) (- b a)) in b 0.470 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 0.470 * [taylor]: Taking taylor expansion of (cos 1) in b 0.470 * [taylor]: Taking taylor expansion of 1 in b 0.470 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 0.470 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 0.470 * [taylor]: Taking taylor expansion of (atan2 b b) in b 0.470 * [taylor]: Taking taylor expansion of (- b a) in b 0.470 * [taylor]: Taking taylor expansion of b in b 0.470 * [taylor]: Taking taylor expansion of a in b 0.470 * [taylor]: Taking taylor expansion of (sin 1) in b 0.470 * [taylor]: Taking taylor expansion of 1 in b 0.471 * [taylor]: Taking taylor expansion of (- (sin 1) (* a (* (cos 1) (log (sqrt (atan2 b b)))))) in a 0.471 * [taylor]: Taking taylor expansion of (sin 1) in a 0.471 * [taylor]: Taking taylor expansion of 1 in a 0.471 * [taylor]: Taking taylor expansion of (* a (* (cos 1) (log (sqrt (atan2 b b))))) in a 0.471 * [taylor]: Taking taylor expansion of a in a 0.471 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.471 * [taylor]: Taking taylor expansion of (cos 1) in a 0.471 * [taylor]: Taking taylor expansion of 1 in a 0.471 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.471 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.471 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.472 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in a 0.472 * [taylor]: Taking taylor expansion of (cos 1) in a 0.472 * [taylor]: Taking taylor expansion of 1 in a 0.472 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in a 0.472 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in a 0.472 * [taylor]: Taking taylor expansion of (atan2 b b) in a 0.474 * [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 0.474 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in a 0.474 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.474 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in a 0.474 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.474 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.474 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.474 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.474 * [taylor]: Taking taylor expansion of (cos 1) in a 0.474 * [taylor]: Taking taylor expansion of 1 in a 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.474 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.474 * [taylor]: Taking taylor expansion of b in a 0.474 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.474 * [taylor]: Taking taylor expansion of a in a 0.474 * [taylor]: Taking taylor expansion of (sin 1) in a 0.474 * [taylor]: Taking taylor expansion of 1 in a 0.474 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 0.474 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.474 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 0.474 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.474 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.474 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.474 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.475 * [taylor]: Taking taylor expansion of (cos 1) in b 0.475 * [taylor]: Taking taylor expansion of 1 in b 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.475 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.475 * [taylor]: Taking taylor expansion of b in b 0.475 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.475 * [taylor]: Taking taylor expansion of a in b 0.475 * [taylor]: Taking taylor expansion of (sin 1) in b 0.475 * [taylor]: Taking taylor expansion of 1 in b 0.475 * [taylor]: Taking taylor expansion of (fma (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a)) (sin 1)) in b 0.475 * [taylor]: Rewrote expression to (+ (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) (sin 1)) 0.475 * [taylor]: Taking taylor expansion of (* (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) (- (/ 1 b) (/ 1 a))) in b 0.475 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 0.475 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 0.475 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 0.475 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 0.475 * [taylor]: Taking taylor expansion of (cos 1) in b 0.475 * [taylor]: Taking taylor expansion of 1 in b 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.475 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.475 * [taylor]: Taking taylor expansion of b in b 0.475 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.475 * [taylor]: Taking taylor expansion of a in b 0.476 * [taylor]: Taking taylor expansion of (sin 1) in b 0.476 * [taylor]: Taking taylor expansion of 1 in b 0.476 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.476 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.476 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.476 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.476 * [taylor]: Taking taylor expansion of (cos 1) in a 0.476 * [taylor]: Taking taylor expansion of 1 in a 0.477 * [taylor]: Taking taylor expansion of (- (sin 1) (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a)) in a 0.477 * [taylor]: Taking taylor expansion of (sin 1) in a 0.477 * [taylor]: Taking taylor expansion of 1 in a 0.477 * [taylor]: Taking taylor expansion of (/ (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) a) in a 0.477 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in a 0.477 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in a 0.477 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in a 0.477 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in a 0.478 * [taylor]: Taking taylor expansion of (cos 1) in a 0.478 * [taylor]: Taking taylor expansion of 1 in a 0.478 * [taylor]: Taking taylor expansion of a in a 0.479 * [taylor]: Taking taylor expansion of 0 in a 0.481 * [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 0.481 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in a 0.481 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.481 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in a 0.481 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.481 * [taylor]: Taking taylor expansion of (cos 1) in a 0.481 * [taylor]: Taking taylor expansion of 1 in a 0.481 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.481 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.481 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.481 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.481 * [taylor]: Taking taylor expansion of a in a 0.481 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.481 * [taylor]: Taking taylor expansion of b in a 0.481 * [taylor]: Taking taylor expansion of (sin 1) in a 0.481 * [taylor]: Taking taylor expansion of 1 in a 0.481 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 0.481 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.481 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 0.481 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.481 * [taylor]: Taking taylor expansion of (cos 1) in b 0.481 * [taylor]: Taking taylor expansion of 1 in b 0.482 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.482 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.482 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.482 * [taylor]: Taking taylor expansion of a in b 0.482 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.482 * [taylor]: Taking taylor expansion of b in b 0.482 * [taylor]: Taking taylor expansion of (sin 1) in b 0.482 * [taylor]: Taking taylor expansion of 1 in b 0.482 * [taylor]: Taking taylor expansion of (fma (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b)) (sin 1)) in b 0.482 * [taylor]: Rewrote expression to (+ (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) (sin 1)) 0.482 * [taylor]: Taking taylor expansion of (* (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) (- (/ 1 a) (/ 1 b))) in b 0.482 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 0.482 * [taylor]: Taking taylor expansion of (cos 1) in b 0.482 * [taylor]: Taking taylor expansion of 1 in b 0.482 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 0.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 0.482 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.483 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.483 * [taylor]: Taking taylor expansion of a in b 0.483 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.483 * [taylor]: Taking taylor expansion of b in b 0.483 * [taylor]: Taking taylor expansion of (sin 1) in b 0.483 * [taylor]: Taking taylor expansion of 1 in b 0.483 * [taylor]: Taking taylor expansion of (- (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b)))))) in a 0.483 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.483 * [taylor]: Taking taylor expansion of (cos 1) in a 0.483 * [taylor]: Taking taylor expansion of 1 in a 0.483 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.483 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.483 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.484 * [taylor]: Taking taylor expansion of (+ (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) (sin 1)) in a 0.484 * [taylor]: Taking taylor expansion of (/ (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) a) in a 0.484 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in a 0.484 * [taylor]: Taking taylor expansion of (cos 1) in a 0.484 * [taylor]: Taking taylor expansion of 1 in a 0.484 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in a 0.484 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in a 0.484 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in a 0.485 * [taylor]: Taking taylor expansion of a in a 0.485 * [taylor]: Taking taylor expansion of (sin 1) in a 0.485 * [taylor]: Taking taylor expansion of 1 in a 0.486 * [taylor]: Taking taylor expansion of 0 in a 0.488 * * * [progress]: simplifying candidates 0.489 * [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)))))) 0.493 * * [simplify]: iteration 0 : 152 enodes (cost 636 ) 0.496 * * [simplify]: iteration 1 : 487 enodes (cost 554 ) 0.504 * * [simplify]: iteration 2 : 1554 enodes (cost 539 ) 0.524 * * [simplify]: iteration 3 : 4729 enodes (cost 539 ) 0.609 * * [simplify]: iteration 4 : 5001 enodes (cost 539 ) 0.613 * [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 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(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)) 0.614 * * * [progress]: adding candidates to table 1.100 * * [progress]: iteration 3 / 4 1.100 * * * [progress]: picking best candidate 1.109 * * * * [pick]: Picked # 1.109 * * * [progress]: localizing error 1.123 * * * [progress]: generating rewritten candidates 1.123 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.131 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1) 1.132 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 1.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.169 * * * [progress]: generating series expansions 1.169 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.169 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 1.169 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.170 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.170 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.170 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.174 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 1.174 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.174 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.174 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.174 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.174 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.174 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.179 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 1.179 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.179 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.180 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.180 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.180 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.185 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1) 1.185 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.185 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.185 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.185 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.185 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.185 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.186 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.186 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.186 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.186 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.187 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.187 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.187 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.187 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.187 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.188 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 1.188 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 1.188 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.188 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.188 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.188 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.188 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 1.188 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.188 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.189 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.189 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.189 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 1.189 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.190 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.190 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.190 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.190 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.191 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in (b) around 0 1.191 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.191 * [taylor]: Taking taylor expansion of (cos 1) in b 1.191 * [taylor]: Taking taylor expansion of 1 in b 1.191 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.191 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.191 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.191 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 b b)))) in b 1.191 * [taylor]: Taking taylor expansion of (cos 1) in b 1.191 * [taylor]: Taking taylor expansion of 1 in b 1.191 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 1.191 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 1.191 * [taylor]: Taking taylor expansion of (atan2 b b) in b 1.197 * [approximate]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in (b) around 0 1.197 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.197 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.197 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.197 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.197 * [taylor]: Taking taylor expansion of (cos 1) in b 1.197 * [taylor]: Taking taylor expansion of 1 in b 1.197 * [taylor]: Taking taylor expansion of (* (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) (cos 1)) in b 1.198 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 1.198 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 1.198 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 1.198 * [taylor]: Taking taylor expansion of (cos 1) in b 1.198 * [taylor]: Taking taylor expansion of 1 in b 1.205 * [approximate]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in (b) around 0 1.205 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.205 * [taylor]: Taking taylor expansion of (cos 1) in b 1.205 * [taylor]: Taking taylor expansion of 1 in b 1.205 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.205 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.205 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.205 * [taylor]: Taking taylor expansion of (* (cos 1) (log (sqrt (atan2 (/ -1 b) (/ -1 b))))) in b 1.205 * [taylor]: Taking taylor expansion of (cos 1) in b 1.205 * [taylor]: Taking taylor expansion of 1 in b 1.205 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 1.205 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 1.205 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 1.212 * * * [progress]: simplifying candidates 1.213 * [simplify]: Simplifying using # : (expm1 (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log1p (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log 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b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (cos 1) (log (sqrt (sqrt (atan2 b b))))) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (log (sqrt (sqrt (atan2 b b)))) (cos 1)) (* (cos 1) (+ 1/2 1/2)) (* (cos 1) (+ 1/2 (/ 1 2))) (* (cos 1) (+ 1 1)) (* (cos 1) (+ (/ 1/2 2) (/ 1/2 2))) (* (cos 1) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cos 1) (+ (/ 1 2) 1/2)) (* (cos 1) (+ (/ 1 2) (/ 1 2))) (* (cos 1) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cos 1) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cos 1) 1/2) (* (cos 1) 1) (* (cos 1) (/ 1/2 2)) (* (cos 1) (/ 1 2)) (* (cos 1) (/ (/ 1 2) 2)) (* (cos 1) 2) (* (cos 1) (+ 1 1)) (* (cos 1) 1) (* (cos 1) (* 2 1/2)) (* (cos 1) (* 2 1)) (* (cos 1) (* 2 (/ 1/2 2))) (* (cos 1) (* 2 (/ 1 2))) (* (cos 1) (* 2 (/ (/ 1 2) 2))) (* (cos 1) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) 1) (* (cbrt (cos 1)) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (sqrt (cos 1)) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) 1.218 * * [simplify]: iteration 0 : 192 enodes (cost 627 ) 1.221 * * [simplify]: iteration 1 : 690 enodes (cost 542 ) 1.245 * * [simplify]: iteration 2 : 5001 enodes (cost 510 ) 1.247 * [simplify]: Simplified to: (expm1 (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log1p (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (log (atan2 b b)) 1/4) (* (log (atan2 b b)) 1/4) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (log (atan2 b b)) 1/4) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (* (log (atan2 b b)) 1/4) (* (log (atan2 b b)) 1/4) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (* (log (atan2 b b)) 1/4) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (* (log (sqrt (atan2 b b))) 1)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (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 (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 (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (log1p (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (log (* (cos 1) (log (sqrt (atan2 b b))))) (pow (sqrt (atan2 b b)) (cos 1)) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (* (cbrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (cbrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (pow (* (cos 1) (log (sqrt (atan2 b b)))) 3) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (sqrt (* (cos 1) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (sqrt (cos 1)) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (* (cos 1) (* (log (atan2 b b)) 1/4)) (cos 1) (cos 1) (* (cos 1) 2) (* (cos 1) 1/2) (* (cos 1) 1/2) (cos 1) (cos 1) (* (cos 1) 1/2) (* (cos 1) 1/2) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/4) (* (cos 1) 1/2) (* (cos 1) 1/4) (* (cos 1) 2) (* (cos 1) 2) (cos 1) (cos 1) (* (cos 1) 2) (* (cos 1) 1/2) (cos 1) (* (cos 1) 1/2) (* (cos 1) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))))) (* (cos 1) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cos 1) (* 2 (* (cbrt (cos 1)) (log (sqrt (sqrt (atan2 b b)))))) (* 2 (* (sqrt (cos 1)) (log (sqrt (sqrt (atan2 b b)))))) (* (cos 1) (log (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) (* (cos 1) (log (sqrt (atan2 b b)))) 1.248 * * * [progress]: adding candidates to table 1.997 * * [progress]: iteration 4 / 4 1.998 * * * [progress]: picking best candidate 2.012 * * * * [pick]: Picked # 2.012 * * * [progress]: localizing error 2.030 * * * [progress]: generating rewritten candidates 2.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.038 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1) 2.046 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 2.053 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 1) 2.058 * * * [progress]: generating series expansions 2.058 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.058 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.058 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.059 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.059 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.059 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.059 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.059 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.063 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.063 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.063 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.063 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.063 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.063 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.063 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.068 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.068 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.068 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.068 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.069 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.069 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.069 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.074 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1) 2.074 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.074 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.074 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.074 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.074 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.074 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.074 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.078 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.079 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.079 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.079 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.079 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.079 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.079 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.084 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.084 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.084 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.084 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.084 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.084 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.084 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.092 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 2.092 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 b b))) in (b) around 0 2.092 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.092 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.092 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.092 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 b b))) in b 2.092 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.092 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.096 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in (b) around 0 2.096 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.096 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.096 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.096 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ 1 b) (/ 1 b)))) in b 2.096 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.096 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.102 * [approximate]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in (b) around 0 2.102 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.102 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.102 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.102 * [taylor]: Taking taylor expansion of (log (sqrt (atan2 (/ -1 b) (/ -1 b)))) in b 2.102 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.102 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.107 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 1) 2.107 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 2.107 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.107 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.107 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 2.107 * [taylor]: Taking taylor expansion of (atan2 b b) in b 2.108 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 2.108 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.108 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.108 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 2.108 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 2.109 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 2.109 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.109 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.109 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 2.109 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 2.110 * * * [progress]: simplifying candidates 2.111 * [simplify]: Simplifying using # : (expm1 (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log1p (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (atan2 b b) (atan2 b b))) (log (* (sqrt (atan2 b b)) (sqrt (atan2 b b)))) (log (* (atan2 b b) (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (expm1 (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log1p (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (sqrt (atan2 b b)))) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt 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(sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (sqrt (atan2 b b))) (log (sqrt (sqrt (atan2 b b)))) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (exp (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (* (* (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (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)) 2.115 * * [simplify]: iteration 0 : 44 enodes (cost 599 ) 2.116 * * [simplify]: iteration 1 : 93 enodes (cost 526 ) 2.118 * * [simplify]: iteration 2 : 287 enodes (cost 520 ) 2.123 * * [simplify]: iteration 3 : 782 enodes (cost 520 ) 2.131 * * [simplify]: iteration 4 : 1964 enodes (cost 520 ) 2.157 * * [simplify]: iteration 5 : 5001 enodes (cost 513 ) 2.160 * [simplify]: Simplified to: (expm1 (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log1p (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (expm1 (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (log1p (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (log (atan2 b b)) (log (atan2 b b)) (log (atan2 b b)) (log (sqrt (atan2 b b))) (* 2 (log (atan2 b b))) (log (atan2 b b)) (* 2 (log (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (/ (log (sqrt (atan2 b b))) 2) (log (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (/ (log (sqrt (atan2 b b))) 2) (log (atan2 b b)) (log (sqrt (atan2 b b))) (log (atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* 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(atan2 b b)) (- (log (log (atan2 b b))) (log 2)) (sqrt (atan2 b b)) (* (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))))))) (cbrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (pow (log (sqrt (atan2 b b))) 3) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (sqrt (log (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))))) (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)) 2.161 * * * [progress]: adding candidates to table 3.812 * [progress]: [Phase 3 of 3] Extracting. 3.812 * * [regime]: Finding splitpoints for: (# #) 3.813 * * * [regime-changes]: Trying 4 branch expressions: ((pow (sqrt (atan2 b b)) (- b a)) (sin (pow (sqrt (atan2 b b)) (- b a))) b a) 3.813 * * * * [regimes]: Trying to branch on (pow (sqrt (atan2 b b)) (- b a)) from (# #) 3.880 * * * * [regimes]: Trying to branch on (sin (pow (sqrt (atan2 b b)) (- b a))) from (# #) 3.957 * * * * [regimes]: Trying to branch on b from (# #) 4.002 * * * * [regimes]: Trying to branch on a from (# #) 4.047 * * * [regime]: Found split indices: #