7.330 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 8 enodes (cost 3 ) 0.018 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.026 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.027 * [taylor]: Taking taylor expansion of 0 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.029 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.032 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * * * [progress]: simplifying candidates 0.035 * [simplify]: Simplifying using # : (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)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.038 * * [simplify]: iteration 0 : 28 enodes (cost 72 ) 0.039 * * [simplify]: iteration 1 : 32 enodes (cost 70 ) 0.041 * * [simplify]: iteration 2 : 35 enodes (cost 70 ) 0.042 * * [simplify]: iteration 3 : 40 enodes (cost 70 ) 0.043 * * [simplify]: iteration 4 : 59 enodes (cost 70 ) 0.045 * * [simplify]: iteration 5 : 113 enodes (cost 70 ) 0.050 * * [simplify]: iteration 6 : 540 enodes (cost 70 ) 0.064 * * [simplify]: iteration 7 : 1779 enodes (cost 69 ) 0.128 * * [simplify]: iteration 8 : 5002 enodes (cost 69 ) 0.128 * [simplify]: Simplified to: (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)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.128 * * * [progress]: adding candidates to table 0.160 * * [progress]: iteration 2 / 4 0.161 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.179 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.181 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.182 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.188 * * * [progress]: generating series expansions 0.188 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.188 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.188 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.189 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.189 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.189 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.189 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.191 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.191 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.191 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.192 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.192 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.198 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.200 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.200 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.200 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.200 * [taylor]: Taking taylor expansion of 1/4 in y 0.200 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.200 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.200 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.200 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.200 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.200 * [taylor]: Taking taylor expansion of 1/4 in x 0.200 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.200 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.201 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.201 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.201 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.201 * [taylor]: Taking taylor expansion of 1/4 in x 0.201 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.201 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.201 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.201 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.201 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.201 * [taylor]: Taking taylor expansion of 1/4 in y 0.201 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.201 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.212 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.212 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.212 * [taylor]: Taking taylor expansion of 1/4 in y 0.212 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.212 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.213 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.213 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.213 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.213 * [taylor]: Taking taylor expansion of 1/4 in x 0.213 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.213 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.213 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.213 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.213 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.213 * [taylor]: Taking taylor expansion of 1/4 in x 0.213 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.213 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.213 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.213 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.213 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.213 * [taylor]: Taking taylor expansion of 1/4 in y 0.214 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.214 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.226 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.226 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.226 * [taylor]: Taking taylor expansion of 1/4 in y 0.226 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.226 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.226 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.226 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.226 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.226 * [taylor]: Taking taylor expansion of 1/4 in x 0.226 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.226 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.226 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.226 * [taylor]: Taking taylor expansion of 1/4 in x 0.226 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.227 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.227 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.227 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.227 * [taylor]: Taking taylor expansion of 1/4 in y 0.227 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.227 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.239 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.239 * [taylor]: Taking taylor expansion of 1/4 in y 0.239 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.239 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.239 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.240 * [taylor]: Taking taylor expansion of 1/4 in x 0.240 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.240 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.240 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.240 * [taylor]: Taking taylor expansion of 1/4 in x 0.240 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.240 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.240 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.240 * [taylor]: Taking taylor expansion of 1/4 in y 0.240 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.240 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.251 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.251 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.251 * [taylor]: Taking taylor expansion of 1/4 in y 0.251 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.251 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.252 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.252 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.252 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.252 * [taylor]: Taking taylor expansion of 1/4 in x 0.252 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.252 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.252 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.252 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.252 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.252 * [taylor]: Taking taylor expansion of 1/4 in x 0.252 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.252 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.252 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.252 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.253 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.253 * [taylor]: Taking taylor expansion of 1/4 in y 0.253 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.253 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.265 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.265 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.265 * [taylor]: Taking taylor expansion of 1/4 in y 0.265 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.265 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.265 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.265 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.265 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.265 * [taylor]: Taking taylor expansion of 1/4 in x 0.265 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.265 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.265 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.265 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.265 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.265 * [taylor]: Taking taylor expansion of 1/4 in x 0.265 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.265 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.266 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.266 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.266 * [taylor]: Taking taylor expansion of 1/4 in y 0.266 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.266 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.280 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.280 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.281 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.281 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.281 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.281 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.283 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.283 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.283 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.283 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.284 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.284 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.287 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * * * [progress]: simplifying candidates 0.290 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (log1p (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (fabs (- x y)) (fabs (- x y))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (fabs (- x y)) (fabs (- x y))) (+ 1 1) (+ (log (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y)))))) (log (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (exp (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt 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(sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (fabs (- x y)))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt 1)) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) 1) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (sqrt (fabs (- x y))))) (log1p (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y))))) (exp (sqrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (sqrt (fabs (- x y))))) (log1p (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y))))) (exp (sqrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (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)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.295 * * [simplify]: iteration 0 : 137 enodes (cost 754 ) 0.299 * * [simplify]: iteration 1 : 525 enodes (cost 694 ) 0.313 * * [simplify]: iteration 2 : 3007 enodes (cost 678 ) 0.428 * * [simplify]: iteration 3 : 5002 enodes (cost 663 ) 0.432 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (fabs (- x y)) (sqrt (fabs (- x y))) (pow (sqrt (fabs (- x y))) 4) (fabs (- x y)) (pow (sqrt (fabs (- x y))) 4) 2 (log (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (- x y)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (cbrt (sqrt 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(sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (fabs (- x y)))) 3) (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (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)))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.432 * * * [progress]: adding candidates to table 0.626 * * [progress]: iteration 3 / 4 0.626 * * * [progress]: picking best candidate 0.631 * * * * [pick]: Picked # 0.631 * * * [progress]: localizing error 0.641 * * * [progress]: generating rewritten candidates 0.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.648 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.664 * * * [progress]: generating series expansions 0.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.664 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in (x y) around 0 0.664 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in y 0.664 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.664 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.664 * [taylor]: Taking taylor expansion of 1/12 in y 0.664 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.664 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.665 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in x 0.665 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.665 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.665 * [taylor]: Taking taylor expansion of 1/12 in x 0.665 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.665 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.665 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in x 0.665 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.665 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.665 * [taylor]: Taking taylor expansion of 1/12 in x 0.665 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.665 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.666 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/3) in y 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- x y))))) in y 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- x y)))) in y 0.666 * [taylor]: Taking taylor expansion of 1/3 in y 0.666 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.666 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in (x y) around 0 0.681 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in y 0.681 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.681 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.681 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.681 * [taylor]: Taking taylor expansion of 1/12 in y 0.681 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.681 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.681 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in x 0.681 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.681 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.681 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.681 * [taylor]: Taking taylor expansion of 1/12 in x 0.681 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.681 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.682 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in x 0.682 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.682 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.682 * [taylor]: Taking taylor expansion of 1/12 in x 0.682 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.682 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.683 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/3) in y 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.683 * [taylor]: Taking taylor expansion of 1/3 in y 0.683 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.683 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in y 0.699 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.699 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.699 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.699 * [taylor]: Taking taylor expansion of 1/12 in y 0.699 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.699 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.699 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in x 0.699 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.699 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.699 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.699 * [taylor]: Taking taylor expansion of 1/12 in x 0.699 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.699 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.699 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in x 0.699 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.699 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.699 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.699 * [taylor]: Taking taylor expansion of 1/12 in x 0.699 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.699 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.700 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/3) in y 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.700 * [taylor]: Taking taylor expansion of 1/3 in y 0.700 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.700 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.720 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.720 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.720 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.720 * [taylor]: Taking taylor expansion of 1/6 in y 0.720 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.720 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.720 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.720 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.720 * [taylor]: Taking taylor expansion of 1/6 in x 0.720 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.720 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.720 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.720 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.720 * [taylor]: Taking taylor expansion of 1/6 in x 0.720 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.720 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.721 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.721 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.721 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.721 * [taylor]: Taking taylor expansion of 1/6 in y 0.721 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.721 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.722 * [taylor]: Taking taylor expansion of 0 in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in (x y) around 0 0.732 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.732 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.732 * [taylor]: Taking taylor expansion of 1/6 in y 0.732 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.732 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.732 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.733 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.733 * [taylor]: Taking taylor expansion of 1/6 in x 0.733 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.733 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.733 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.733 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.733 * [taylor]: Taking taylor expansion of 1/6 in x 0.733 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.733 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.733 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.733 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.733 * [taylor]: Taking taylor expansion of 1/6 in y 0.733 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.733 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in (x y) around 0 0.746 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.746 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.746 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.746 * [taylor]: Taking taylor expansion of 1/6 in y 0.746 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.746 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.746 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.746 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.746 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.746 * [taylor]: Taking taylor expansion of 1/6 in x 0.746 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.746 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.747 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.747 * [taylor]: Taking taylor expansion of 1/6 in x 0.747 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.747 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.747 * [taylor]: Taking taylor expansion of 1/6 in y 0.747 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.747 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [taylor]: Taking taylor expansion of 0 in y 0.759 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.759 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in (x y) around 0 0.759 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.760 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.760 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.760 * [taylor]: Taking taylor expansion of 1/6 in y 0.760 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.760 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.760 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.760 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.760 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.760 * [taylor]: Taking taylor expansion of 1/6 in x 0.760 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.760 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.760 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.760 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.760 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.760 * [taylor]: Taking taylor expansion of 1/6 in x 0.760 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.760 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.760 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.760 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.760 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.760 * [taylor]: Taking taylor expansion of 1/6 in y 0.760 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.760 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.766 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in (x y) around 0 0.772 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.772 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.772 * [taylor]: Taking taylor expansion of 1/6 in y 0.772 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.772 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.772 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.772 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.773 * [taylor]: Taking taylor expansion of 1/6 in x 0.773 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.773 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.773 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.773 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.773 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.773 * [taylor]: Taking taylor expansion of 1/6 in x 0.773 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.773 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.773 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.773 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.773 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.773 * [taylor]: Taking taylor expansion of 1/6 in y 0.773 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.773 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.786 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in (x y) around 0 0.786 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.786 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.786 * [taylor]: Taking taylor expansion of 1/6 in y 0.786 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.786 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.786 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.786 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.786 * [taylor]: Taking taylor expansion of 1/6 in x 0.786 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.786 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.787 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.787 * [taylor]: Taking taylor expansion of 1/6 in x 0.787 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.787 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.787 * [taylor]: Taking taylor expansion of 1/6 in y 0.787 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.787 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.800 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.800 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.800 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.800 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.801 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.801 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.801 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.801 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.801 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.801 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.806 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.806 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.806 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.807 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.807 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.807 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.809 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.809 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.810 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.810 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.810 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.810 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * * * [progress]: simplifying candidates 0.814 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (cbrt (sqrt (fabs (- x 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[simplify]: iteration 0 : 230 enodes (cost 1504 ) 0.826 * * [simplify]: iteration 1 : 858 enodes (cost 1326 ) 0.854 * * [simplify]: iteration 2 : 5001 enodes (cost 1158 ) 0.859 * [simplify]: Simplified to: (expm1 (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (log1p (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (* 2 (log (cbrt (sqrt (fabs (- x y)))))) (* 2 (log (cbrt (sqrt (fabs (- x y)))))) 2 4 2/3 2 (pow (sqrt (cbrt (sqrt (fabs (- x y))))) (* (cbrt 4) (cbrt 4))) (cbrt (sqrt (fabs (- x y)))) (sqrt (cbrt (sqrt (fabs (- x y))))) (pow (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) 8) (pow (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) 4) (pow (fabs (cbrt (cbrt (sqrt (fabs (- x y)))))) 2) (pow (sqrt (cbrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (cbrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) 1 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(fabs (- x y))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (pow (fabs (cbrt (cbrt (sqrt (fabs (- x y)))))) 2)) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 5) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (* (pow (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (fabs (- x y))))) (* (pow (sqrt (cbrt (cbrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (fabs (- x y))))) (* (pow (sqrt (cbrt (sqrt (cbrt (fabs (- x y)))))) 4) (cbrt (sqrt (fabs (- x y))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (fabs (- x y))))) (sqrt (fabs (- x y))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (fabs (- x y))))) (sqrt (fabs (- x y))) (* (pow (sqrt (cbrt (cbrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (fabs (- x y))))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (sqrt (fabs (- x y))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (sqrt (fabs (- x y))) (* (cbrt (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (cbrt (sqrt (fabs (- x y))))) (* (sqrt (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (cbrt (sqrt (fabs (- x y))))) (sqrt (fabs (- x y))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (pow (fabs (- x y)) 1/3) (pow (fabs (- x y)) 1/3) (pow (fabs (- x y)) 1/3) (pow (fabs (- x y)) 1/6) (pow (fabs (- x y)) 1/6) (pow (fabs (- x y)) 1/6) (pow (fabs (- x y)) 1/6) (pow (fabs (- x y)) 1/6) (pow (fabs (- x y)) 1/6) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.859 * * * [progress]: adding candidates to table 1.121 * [progress]: [Phase 3 of 3] Extracting. 1.121 * * [regime]: Finding splitpoints for: (# # #) 1.121 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 1.121 * * * * [regimes]: Trying to branch on (- x y) from (# # #) 1.138 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# # #) 1.155 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# # #) 1.176 * * * * [regimes]: Trying to branch on y from (# # #) 1.190 * * * * [regimes]: Trying to branch on x from (# # #) 1.206 * * * [regime]: Found split indices: #