15.951 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (fabs (- x y)) (fabs y)) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 9 enodes (cost 4 ) 0.019 * * [simplify]: iteration 2 : 9 enodes (cost 4 ) 0.020 * [simplify]: Simplified to: (/ (fabs (- x y)) (fabs y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.032 * [taylor]: Taking taylor expansion of (fabs y) in y 0.032 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.032 * [taylor]: Taking taylor expansion of (fabs y) in x 0.032 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.032 * [taylor]: Taking taylor expansion of (fabs y) in x 0.032 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.032 * [taylor]: Taking taylor expansion of (fabs y) in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.034 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.034 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.034 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.034 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.034 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.034 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.034 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.034 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.034 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.034 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.034 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.036 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.036 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.037 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.037 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * * * [progress]: simplifying candidates 0.039 * [simplify]: Simplifying using # : (expm1 (/ (fabs (- x y)) (fabs y))) (log1p (/ (fabs (- x y)) (fabs y))) (- (log (fabs (- x y))) (log (fabs y))) (log (/ (fabs (- x y)) (fabs y))) (exp (/ (fabs (- x y)) (fabs y))) (/ (* (* (fabs (- x y)) (fabs (- x y))) (fabs (- x y))) (* (* (fabs y) (fabs y)) (fabs y))) (* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y)))) (cbrt (/ (fabs (- x y)) (fabs y))) (* (* (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y))) (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (- (fabs (- x y))) (- (fabs y)) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (cbrt (fabs (- x y))) (cbrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (sqrt (fabs y))) (/ (cbrt (fabs (- x y))) (sqrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) 1) (/ (cbrt (fabs (- x y))) (fabs y)) (/ (sqrt (fabs (- x y))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (cbrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) 1) (/ (sqrt (fabs (- x y))) (fabs y)) (/ 1 (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (cbrt (fabs y))) (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))) (/ 1 1) (/ (fabs (- x y)) (fabs y)) (/ 1 (fabs y)) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (sqrt (fabs y))) (/ (fabs (- x y)) 1) (/ (fabs y) (cbrt (fabs (- x y)))) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) 0.043 * * [simplify]: iteration 0 : 88 enodes (cost 236 ) 0.045 * * [simplify]: iteration 1 : 237 enodes (cost 218 ) 0.048 * * [simplify]: iteration 2 : 598 enodes (cost 218 ) 0.057 * * [simplify]: iteration 3 : 1539 enodes (cost 218 ) 0.081 * * [simplify]: iteration 4 : 4397 enodes (cost 218 ) 0.123 * * [simplify]: iteration 5 : 5001 enodes (cost 218 ) 0.124 * [simplify]: Simplified to: (expm1 (/ (fabs (- x y)) (fabs y))) (log1p (/ (fabs (- x y)) (fabs y))) (log (/ (fabs (- x y)) (fabs y))) (log (/ (fabs (- x y)) (fabs y))) (exp (/ (fabs (- x y)) (fabs y))) (pow (/ (fabs (- x y)) (fabs y)) 3) (* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y)))) (cbrt (/ (fabs (- x y)) (fabs y))) (pow (/ (fabs (- x y)) (fabs y)) 3) (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))) (- (fabs (- x y))) (- (fabs y)) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (cbrt (fabs (- x y))) (cbrt (fabs y))) (/ (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (sqrt (fabs y))) (/ (cbrt (fabs (- x y))) (sqrt (fabs y))) (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))) (/ (cbrt (fabs (- x y))) (fabs y)) (/ (sqrt (fabs (- x y))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (cbrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)) (/ 1 (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (cbrt (fabs y))) (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))) 1 (/ (fabs (- x y)) (fabs y)) (/ 1 (fabs y)) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (fabs (- x y)) (sqrt (fabs y))) (fabs (- x y)) (/ (fabs y) (cbrt (fabs (- x y)))) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (fabs y) (fabs (- x y))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) 0.124 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.204 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.206 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.212 * [approximate]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.212 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.212 * [taylor]: Taking taylor expansion of (fabs y) in y 0.212 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.212 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.212 * [taylor]: Taking taylor expansion of (fabs y) in x 0.212 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in x 0.212 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.212 * [taylor]: Taking taylor expansion of (fabs y) in x 0.213 * [taylor]: Taking taylor expansion of (/ (fabs (- x y)) (fabs y)) in y 0.213 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.213 * [taylor]: Taking taylor expansion of (fabs y) in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.214 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.214 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.214 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.214 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.214 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.215 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in x 0.215 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.215 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.215 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 x) (/ 1 y))) (fabs (/ 1 y))) in y 0.215 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.215 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [approximate]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.217 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.217 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.217 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.217 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.217 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in x 0.217 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.218 * [taylor]: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) (fabs (/ -1 y))) in y 0.218 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.218 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.220 * [approximate]: Taking taylor expansion of (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) in y 0.220 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.220 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (fabs y)) in y 0.220 * [taylor]: Taking taylor expansion of (fabs y) in y 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.220 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (fabs y)) in x 0.220 * [taylor]: Taking taylor expansion of (fabs y) in x 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.220 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (fabs y)) in x 0.220 * [taylor]: Taking taylor expansion of (fabs y) in x 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) in y 0.220 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.221 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (fabs y)) in y 0.221 * [taylor]: Taking taylor expansion of (fabs y) in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [approximate]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 (fabs (/ 1 y)))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 (fabs (/ 1 y)))) in y 0.225 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.225 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 y))) in y 0.225 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 (fabs (/ 1 y)))) in x 0.225 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.226 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 (fabs (/ 1 y)))) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.226 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in x 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 (fabs (/ 1 y)))) in y 0.226 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.226 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 y))) in y 0.227 * [taylor]: Taking taylor expansion of (fabs (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [approximate]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 (fabs (/ -1 y)))) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 (fabs (/ -1 y)))) in y 0.231 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 y))) in y 0.232 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.232 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 (fabs (/ -1 y)))) in x 0.232 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.232 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 y))) in x 0.232 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.232 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 (fabs (/ -1 y)))) in x 0.232 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.232 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 y))) in x 0.232 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in x 0.233 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 (fabs (/ -1 y)))) in y 0.233 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.233 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 y))) in y 0.233 * [taylor]: Taking taylor expansion of (fabs (/ -1 y)) in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.238 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.238 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.238 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.238 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.238 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.238 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.240 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.241 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.241 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.241 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.241 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.243 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.244 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.244 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.244 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.244 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.246 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.246 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.247 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.247 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.247 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.247 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.249 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.250 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.252 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.252 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.253 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * * * [progress]: simplifying candidates 0.256 * [simplify]: Simplifying using # : (expm1 (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (log1p (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y))) (+ (log (sqrt (fabs (- x y)))) (- (log (sqrt (fabs (- x y)))) (log (fabs y)))) (+ (log (sqrt (fabs (- x y)))) (log (/ (sqrt (fabs (- x y))) (fabs y)))) (log (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (exp (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (* (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (/ (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (* (* (fabs y) (fabs y)) (fabs y)))) (* (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (* (* (/ (sqrt (fabs (- x y))) (fabs y)) (/ (sqrt (fabs (- x y))) (fabs y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (* (cbrt (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (cbrt (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y))))) (cbrt (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (* (* (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y))) (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (sqrt (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (sqrt (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (sqrt (fabs (- x y))) (fabs y)))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (sqrt (fabs (- x y))) (fabs y)))) (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))) (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))) (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))) (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x 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(* (sqrt (fabs (- x y))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (fabs (- x y))) (sqrt 1)) (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (fabs (- x y))) 1) (expm1 (/ (sqrt (fabs (- x y))) (fabs y))) (log1p (/ (sqrt (fabs (- x y))) (fabs y))) (- (log (sqrt (fabs (- x y)))) (log (fabs y))) (log (/ (sqrt (fabs (- x y))) (fabs y))) (exp (/ (sqrt (fabs (- x y))) (fabs y))) (/ (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (* (* (fabs y) (fabs y)) (fabs y))) (* (cbrt (/ (sqrt (fabs (- x y))) (fabs y))) (cbrt (/ (sqrt (fabs (- x y))) (fabs y)))) (cbrt (/ (sqrt (fabs (- x y))) (fabs y))) (* (* (/ (sqrt (fabs (- x y))) (fabs y)) (/ (sqrt (fabs (- x y))) (fabs y))) (/ (sqrt (fabs (- x y))) (fabs y))) (sqrt (/ (sqrt (fabs (- x y))) (fabs y))) (sqrt (/ (sqrt (fabs (- x y))) (fabs y))) (- (sqrt (fabs (- x y)))) (- (fabs y)) (/ (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs 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y)) (/ (sqrt 1) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (cbrt (fabs y))) (/ (sqrt 1) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt 1) 1) (/ (sqrt (fabs (- x y))) (fabs y)) (/ (sqrt (sqrt (fabs (- x y)))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (sqrt (fabs (- x y)))) (cbrt (fabs y))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y))) (/ (sqrt (sqrt (fabs (- x y)))) 1) (/ (sqrt (sqrt (fabs (- x y)))) (fabs y)) (/ 1 (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (cbrt (fabs y))) (/ 1 (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ 1 1) (/ (sqrt (fabs (- x y))) (fabs y)) (/ 1 (fabs y)) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (sqrt (fabs (- x y))) (* (cbrt (fabs y)) (cbrt (fabs y)))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) 1) (/ (fabs y) (cbrt (sqrt (fabs (- x y))))) (/ (fabs y) (sqrt (cbrt (fabs (- x y))))) (/ (fabs y) (sqrt (sqrt (fabs (- x y))))) (/ (fabs y) (sqrt (fabs (- x y)))) (/ (fabs y) (sqrt (sqrt (fabs (- x y))))) (/ (fabs y) (sqrt (fabs (- x y)))) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (/ (fabs (- x y)) (fabs y)) (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) (* (sqrt (fabs (- x y))) (/ 1 (fabs y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.262 * * [simplify]: iteration 0 : 247 enodes (cost 1227 ) 0.268 * * [simplify]: iteration 1 : 1128 enodes (cost 1087 ) 0.291 * * [simplify]: iteration 2 : 4942 enodes (cost 1040 ) 0.348 * * [simplify]: iteration 3 : 5001 enodes (cost 1040 ) 0.356 * [simplify]: Simplified to: (expm1 (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (log1p (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))) (/ (fabs (- x y)) (fabs y)) (- (log (fabs (- x y))) (log (fabs y))) (- (log (fabs (- 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(sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.357 * * * [progress]: adding candidates to table 0.629 * [progress]: [Phase 3 of 3] Extracting. 0.629 * * [regime]: Finding splitpoints for: (# #) 0.629 * * * [regime-changes]: Trying 3 branch expressions: ((/ (fabs (- x y)) (fabs y)) y x) 0.629 * * * * [regimes]: Trying to branch on (/ (fabs (- x y)) (fabs y)) from (# #) 0.647 * * * * [regimes]: Trying to branch on y from (# #) 0.661 * * * * [regimes]: Trying to branch on x from (# #) 0.672 * * * [regime]: Found split indices: #