5.713 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 8 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.031 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.031 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.031 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.031 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 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 (sqrt (fabs (- (/ 1 x) (/ 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 (sqrt (fabs (- (/ 1 x) (/ 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 (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.034 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 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 0.037 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) 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 0.040 * [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))) 0.042 * * [simplify]: iteration 0 : 28 enodes (cost 72 ) 0.044 * * [simplify]: iteration 1 : 32 enodes (cost 70 ) 0.045 * * [simplify]: iteration 2 : 35 enodes (cost 70 ) 0.046 * * [simplify]: iteration 3 : 40 enodes (cost 70 ) 0.048 * * [simplify]: iteration 4 : 59 enodes (cost 70 ) 0.049 * * [simplify]: iteration 5 : 113 enodes (cost 70 ) 0.054 * * [simplify]: iteration 6 : 540 enodes (cost 70 ) 0.069 * * [simplify]: iteration 7 : 1779 enodes (cost 69 ) 0.136 * * [simplify]: iteration 8 : 5002 enodes (cost 69 ) 0.137 * [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))) 0.137 * * * [progress]: adding candidates to table 0.167 * * [progress]: iteration 2 / 4 0.167 * * * [progress]: picking best candidate 0.170 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.180 * * * [progress]: generating rewritten candidates 0.180 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.193 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.200 * * * [progress]: generating series expansions 0.200 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.201 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.201 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.201 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.201 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.201 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.201 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.203 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.204 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.204 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.204 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.204 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.207 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.207 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.207 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.207 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.207 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.209 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.210 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.210 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.210 * [taylor]: Taking taylor expansion of 1/4 in y 0.210 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.210 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.210 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.210 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.210 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.210 * [taylor]: Taking taylor expansion of 1/4 in x 0.210 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.210 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.210 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.210 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.210 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.210 * [taylor]: Taking taylor expansion of 1/4 in x 0.210 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.210 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.210 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.210 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.210 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.210 * [taylor]: Taking taylor expansion of 1/4 in y 0.210 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.210 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.222 * [taylor]: Taking taylor expansion of 1/4 in y 0.222 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.222 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.222 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.222 * [taylor]: Taking taylor expansion of 1/4 in x 0.222 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.222 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.223 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.223 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.223 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.223 * [taylor]: Taking taylor expansion of 1/4 in x 0.223 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.223 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.223 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.223 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.223 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.223 * [taylor]: Taking taylor expansion of 1/4 in y 0.223 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.223 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.236 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.236 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.236 * [taylor]: Taking taylor expansion of 1/4 in y 0.236 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.236 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.236 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.236 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.236 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.236 * [taylor]: Taking taylor expansion of 1/4 in x 0.236 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.236 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.237 * [taylor]: Taking taylor expansion of 1/4 in x 0.237 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.237 * [taylor]: Taking taylor expansion of 1/4 in y 0.237 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.237 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.250 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.250 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.250 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.250 * [taylor]: Taking taylor expansion of 1/4 in y 0.250 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.250 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.250 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.250 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.250 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.250 * [taylor]: Taking taylor expansion of 1/4 in x 0.250 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.250 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.250 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.250 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.250 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.250 * [taylor]: Taking taylor expansion of 1/4 in x 0.250 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.250 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.251 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.251 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.251 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.251 * [taylor]: Taking taylor expansion of 1/4 in y 0.251 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.251 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.267 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.267 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.267 * [taylor]: Taking taylor expansion of 1/4 in y 0.267 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.267 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.267 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.267 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.267 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.267 * [taylor]: Taking taylor expansion of 1/4 in x 0.267 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.267 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.267 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.267 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.267 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.267 * [taylor]: Taking taylor expansion of 1/4 in x 0.267 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.267 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.268 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.268 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.268 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.268 * [taylor]: Taking taylor expansion of 1/4 in y 0.268 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.268 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.281 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.281 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.281 * [taylor]: Taking taylor expansion of 1/4 in y 0.281 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.281 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.281 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.281 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.281 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.281 * [taylor]: Taking taylor expansion of 1/4 in x 0.281 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.281 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.281 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.281 * [taylor]: Taking taylor expansion of 1/4 in x 0.281 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.282 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.282 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.282 * [taylor]: Taking taylor expansion of 1/4 in y 0.282 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.282 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.294 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.295 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.295 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.295 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.295 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.295 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.297 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.297 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.297 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.297 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.297 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.298 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.298 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.300 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.301 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.303 * * * [progress]: simplifying candidates 0.304 * [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))) 0.310 * * [simplify]: iteration 0 : 137 enodes (cost 754 ) 0.313 * * [simplify]: iteration 1 : 525 enodes (cost 694 ) 0.327 * * [simplify]: iteration 2 : 3007 enodes (cost 678 ) 0.447 * * [simplify]: iteration 3 : 5002 enodes (cost 663 ) 0.450 * [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))) 0.451 * * * [progress]: adding candidates to table 0.657 * * [progress]: iteration 3 / 4 0.657 * * * [progress]: picking best candidate 0.660 * * * * [pick]: Picked # 0.660 * * * [progress]: localizing error 0.670 * * * [progress]: generating rewritten candidates 0.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.674 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.675 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.676 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.699 * * * [progress]: generating series expansions 0.699 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.699 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in y 0.699 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.699 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.699 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.699 * [taylor]: Taking taylor expansion of 1/12 in y 0.699 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.699 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.699 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in x 0.699 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.699 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.699 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.699 * [taylor]: Taking taylor expansion of 1/12 in x 0.699 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.699 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.700 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in x 0.700 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.700 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.700 * [taylor]: Taking taylor expansion of 1/12 in x 0.700 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.700 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.700 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/3) in y 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- x y))))) in y 0.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- x y)))) in y 0.700 * [taylor]: Taking taylor expansion of 1/3 in y 0.700 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.700 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in (x y) around 0 0.718 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in y 0.719 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.719 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.719 * [taylor]: Taking taylor expansion of 1/12 in y 0.719 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.719 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.719 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in x 0.719 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.719 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.719 * [taylor]: Taking taylor expansion of 1/12 in x 0.719 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.719 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.719 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in x 0.719 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.719 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.719 * [taylor]: Taking taylor expansion of 1/12 in x 0.719 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.719 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.720 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/3) in y 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.720 * [taylor]: Taking taylor expansion of 1/3 in y 0.720 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.720 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.723 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in (x y) around 0 0.736 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in y 0.736 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.736 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.736 * [taylor]: Taking taylor expansion of 1/12 in y 0.736 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.736 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.736 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in x 0.736 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.736 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.736 * [taylor]: Taking taylor expansion of 1/12 in x 0.736 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.736 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in x 0.737 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.737 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.737 * [taylor]: Taking taylor expansion of 1/12 in x 0.737 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.737 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/3) in y 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.738 * [taylor]: Taking taylor expansion of 1/3 in y 0.738 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.738 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.753 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.753 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in (x y) around 0 0.753 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.753 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.753 * [taylor]: Taking taylor expansion of 1/6 in y 0.753 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.753 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.753 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.753 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.753 * [taylor]: Taking taylor expansion of 1/6 in x 0.753 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.753 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.754 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.754 * [taylor]: Taking taylor expansion of 1/6 in x 0.754 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.754 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.754 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.754 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.754 * [taylor]: Taking taylor expansion of 1/6 in y 0.754 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.754 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.765 * [taylor]: Taking taylor expansion of 0 in y 0.766 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in (x y) around 0 0.766 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.766 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.766 * [taylor]: Taking taylor expansion of 1/6 in y 0.766 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.766 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.766 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.766 * [taylor]: Taking taylor expansion of 1/6 in x 0.766 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.766 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.767 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.767 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.767 * [taylor]: Taking taylor expansion of 1/6 in x 0.767 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.767 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.767 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.767 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.767 * [taylor]: Taking taylor expansion of 1/6 in y 0.767 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.767 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.773 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in (x y) around 0 0.779 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.780 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.780 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.780 * [taylor]: Taking taylor expansion of 1/6 in y 0.780 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.780 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.780 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.780 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.780 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.780 * [taylor]: Taking taylor expansion of 1/6 in x 0.780 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.780 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.780 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.780 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.780 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.780 * [taylor]: Taking taylor expansion of 1/6 in x 0.780 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.780 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.781 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.781 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.781 * [taylor]: Taking taylor expansion of 1/6 in y 0.781 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.781 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.793 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.793 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in (x y) around 0 0.793 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.793 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.793 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.793 * [taylor]: Taking taylor expansion of 1/6 in y 0.793 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.793 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.794 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.794 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.794 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.794 * [taylor]: Taking taylor expansion of 1/6 in x 0.794 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.794 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.794 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.794 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.794 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.794 * [taylor]: Taking taylor expansion of 1/6 in x 0.794 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.794 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.794 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.794 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.794 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.794 * [taylor]: Taking taylor expansion of 1/6 in y 0.794 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.794 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in (x y) around 0 0.811 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.811 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.811 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.811 * [taylor]: Taking taylor expansion of 1/6 in y 0.811 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.811 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.811 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.811 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.811 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.811 * [taylor]: Taking taylor expansion of 1/6 in x 0.811 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.811 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.812 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.812 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.812 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.812 * [taylor]: Taking taylor expansion of 1/6 in x 0.812 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.812 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.812 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.812 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.812 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.812 * [taylor]: Taking taylor expansion of 1/6 in y 0.812 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.812 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.825 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.825 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.825 * [taylor]: Taking taylor expansion of 1/6 in y 0.825 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.825 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.825 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.825 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.825 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.825 * [taylor]: Taking taylor expansion of 1/6 in x 0.825 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.825 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.826 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.826 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.826 * [taylor]: Taking taylor expansion of 1/6 in x 0.826 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.826 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.826 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.826 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.826 * [taylor]: Taking taylor expansion of 1/6 in y 0.826 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.826 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.839 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.839 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.839 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.839 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.839 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.839 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.839 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.841 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.841 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.842 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.842 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.842 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.842 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.845 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.845 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.845 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.845 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.845 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.845 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.848 * * * [progress]: simplifying candidates 0.849 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (cbrt (sqrt (fabs (- x 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[simplify]: iteration 0 : 230 enodes (cost 1504 ) 0.861 * * [simplify]: iteration 1 : 858 enodes (cost 1326 ) 0.886 * * [simplify]: iteration 2 : 5001 enodes (cost 1158 ) 0.891 * [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))))) 1 (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))) 1 (cbrt (sqrt (fabs (- x y)))) (pow (fabs (cbrt (cbrt (sqrt (fabs (- x y)))))) 2) (cbrt (cbrt (sqrt (fabs (- x y))))) (sqrt (fabs (- x y))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (expm1 (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))) (log1p (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))) (* 3 (log (cbrt (sqrt (fabs (- x y)))))) (* 3 (log (cbrt (sqrt (fabs (- x y)))))) (* 3 (log (cbrt (sqrt (fabs (- x y)))))) (* 3 (log (cbrt (sqrt (fabs (- x y)))))) (pow (exp 1) (pow (cbrt (sqrt (fabs (- x y)))) 3)) (pow (pow (cbrt (sqrt (fabs (- x y)))) 3) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (pow (cbrt (sqrt (fabs (- x y)))) 3) 3) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (* (sqrt (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y))))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4))) (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (* (pow (sqrt (cbrt (sqrt (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) (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))) 0.892 * * * [progress]: adding candidates to table 1.176 * * [progress]: iteration 4 / 4 1.176 * * * [progress]: picking best candidate 1.179 * * * * [pick]: Picked # 1.179 * * * [progress]: localizing error 1.195 * * * [progress]: generating rewritten candidates 1.196 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.205 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.206 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.211 * * * [progress]: generating series expansions 1.211 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.211 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in (x y) around 0 1.211 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in y 1.211 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/24) in y 1.211 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- x y))))) in y 1.211 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- x y)))) in y 1.211 * [taylor]: Taking taylor expansion of 1/24 in y 1.211 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.211 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.212 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in x 1.212 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/24) in x 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- x y))))) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- x y)))) in x 1.212 * [taylor]: Taking taylor expansion of 1/24 in x 1.212 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.212 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.212 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in x 1.212 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/24) in x 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- x y))))) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- x y)))) in x 1.212 * [taylor]: Taking taylor expansion of 1/24 in x 1.212 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.212 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.213 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 1.213 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 1.213 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 1.213 * [taylor]: Taking taylor expansion of 1/6 in y 1.213 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.213 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.219 * [taylor]: Taking taylor expansion of 0 in y 1.230 * [taylor]: Taking taylor expansion of 0 in y 1.230 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in (x y) around 0 1.230 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in y 1.230 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) in y 1.230 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.230 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.230 * [taylor]: Taking taylor expansion of 1/24 in y 1.231 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.231 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in x 1.231 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) in x 1.231 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.231 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.231 * [taylor]: Taking taylor expansion of 1/24 in x 1.231 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.231 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in x 1.231 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) in x 1.231 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.231 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.231 * [taylor]: Taking taylor expansion of 1/24 in x 1.231 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.232 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 1.232 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.232 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.232 * [taylor]: Taking taylor expansion of 1/6 in y 1.232 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.232 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.235 * [taylor]: Taking taylor expansion of 0 in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.247 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in (x y) around 0 1.247 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in y 1.247 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) in y 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.247 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.247 * [taylor]: Taking taylor expansion of 1/24 in y 1.247 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.247 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.248 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in x 1.248 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) in x 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.248 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.248 * [taylor]: Taking taylor expansion of 1/24 in x 1.248 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.248 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in x 1.248 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) in x 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.248 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.248 * [taylor]: Taking taylor expansion of 1/24 in x 1.248 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.249 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 1.249 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.249 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.249 * [taylor]: Taking taylor expansion of 1/6 in y 1.249 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.251 * [taylor]: Taking taylor expansion of 0 in y 1.256 * [taylor]: Taking taylor expansion of 0 in y 1.264 * [taylor]: Taking taylor expansion of 0 in y 1.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.265 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in (x y) around 0 1.265 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in y 1.265 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/24) in y 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- x y))))) in y 1.265 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- x y)))) in y 1.265 * [taylor]: Taking taylor expansion of 1/24 in y 1.265 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.265 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.265 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in x 1.265 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/24) in x 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- x y))))) in x 1.265 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- x y)))) in x 1.265 * [taylor]: Taking taylor expansion of 1/24 in x 1.265 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.265 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.265 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/24) 4) in x 1.265 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/24) in x 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- x y))))) in x 1.265 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- x y)))) in x 1.265 * [taylor]: Taking taylor expansion of 1/24 in x 1.265 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.265 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.266 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 1.266 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 1.266 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 1.266 * [taylor]: Taking taylor expansion of 1/6 in y 1.266 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.266 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.268 * [taylor]: Taking taylor expansion of 0 in y 1.272 * [taylor]: Taking taylor expansion of 0 in y 1.279 * [taylor]: Taking taylor expansion of 0 in y 1.280 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in (x y) around 0 1.280 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in y 1.280 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) in y 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.280 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.280 * [taylor]: Taking taylor expansion of 1/24 in y 1.280 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.280 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.280 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in x 1.280 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) in x 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.280 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.280 * [taylor]: Taking taylor expansion of 1/24 in x 1.280 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.280 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.281 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) 4) in x 1.281 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/24) in x 1.281 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.281 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.281 * [taylor]: Taking taylor expansion of 1/24 in x 1.281 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.281 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.281 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 1.281 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.282 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.282 * [taylor]: Taking taylor expansion of 1/6 in y 1.282 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.282 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.284 * [taylor]: Taking taylor expansion of 0 in y 1.289 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in (x y) around 0 1.297 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in y 1.297 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) in y 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.297 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.297 * [taylor]: Taking taylor expansion of 1/24 in y 1.297 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.297 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.297 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in x 1.297 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) in x 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.297 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.297 * [taylor]: Taking taylor expansion of 1/24 in x 1.297 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.297 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.297 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) 4) in x 1.297 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/24) in x 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.297 * [taylor]: Taking taylor expansion of (* 1/24 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.297 * [taylor]: Taking taylor expansion of 1/24 in x 1.297 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.297 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.298 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.298 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.298 * [taylor]: Taking taylor expansion of 1/6 in y 1.298 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.298 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.306 * [taylor]: Taking taylor expansion of 0 in y 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.318 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in (x y) around 0 1.318 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 1.318 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 1.318 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 1.318 * [taylor]: Taking taylor expansion of 1/12 in y 1.318 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.318 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.318 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 1.318 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 1.318 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 1.318 * [taylor]: Taking taylor expansion of 1/12 in x 1.318 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.318 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.318 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 1.318 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 1.318 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 1.318 * [taylor]: Taking taylor expansion of 1/12 in x 1.318 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.318 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.318 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 1.319 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 1.319 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 1.319 * [taylor]: Taking taylor expansion of 1/12 in y 1.319 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.319 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.320 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.330 * [taylor]: Taking taylor expansion of 0 in y 1.330 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in (x y) around 0 1.330 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 1.330 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.330 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.330 * [taylor]: Taking taylor expansion of 1/12 in y 1.330 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.330 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.330 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 1.330 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.330 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.330 * [taylor]: Taking taylor expansion of 1/12 in x 1.330 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.331 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.331 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 1.331 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.331 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.331 * [taylor]: Taking taylor expansion of 1/12 in x 1.331 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.331 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.331 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 1.331 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.331 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.331 * [taylor]: Taking taylor expansion of 1/12 in y 1.331 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.331 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.333 * [taylor]: Taking taylor expansion of 0 in y 1.337 * [taylor]: Taking taylor expansion of 0 in y 1.343 * [taylor]: Taking taylor expansion of 0 in y 1.343 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in (x y) around 0 1.343 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 1.343 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.343 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.343 * [taylor]: Taking taylor expansion of 1/12 in y 1.343 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.344 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.344 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 1.344 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.344 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.344 * [taylor]: Taking taylor expansion of 1/12 in x 1.344 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.344 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 1.344 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.344 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.344 * [taylor]: Taking taylor expansion of 1/12 in x 1.344 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.344 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.345 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 1.345 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.345 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.345 * [taylor]: Taking taylor expansion of 1/12 in y 1.345 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.345 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.347 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [taylor]: Taking taylor expansion of 0 in y 1.357 * [taylor]: Taking taylor expansion of 0 in y 1.357 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.357 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in (x y) around 0 1.357 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 1.357 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 1.357 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 1.357 * [taylor]: Taking taylor expansion of 1/12 in y 1.357 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.357 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.358 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 1.358 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 1.358 * [taylor]: Taking taylor expansion of 1/12 in x 1.358 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.358 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.358 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 1.358 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 1.358 * [taylor]: Taking taylor expansion of 1/12 in x 1.358 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.358 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.358 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 1.358 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 1.358 * [taylor]: Taking taylor expansion of 1/12 in y 1.358 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.358 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.360 * [taylor]: Taking taylor expansion of 0 in y 1.364 * [taylor]: Taking taylor expansion of 0 in y 1.370 * [taylor]: Taking taylor expansion of 0 in y 1.371 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in (x y) around 0 1.371 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.371 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.371 * [taylor]: Taking taylor expansion of 1/12 in y 1.371 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.371 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.371 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.371 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.371 * [taylor]: Taking taylor expansion of 1/12 in x 1.371 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.371 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.371 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.371 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.371 * [taylor]: Taking taylor expansion of 1/12 in x 1.371 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.371 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.372 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 1.372 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.372 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.372 * [taylor]: Taking taylor expansion of 1/12 in y 1.372 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.372 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.374 * [taylor]: Taking taylor expansion of 0 in y 1.378 * [taylor]: Taking taylor expansion of 0 in y 1.384 * [taylor]: Taking taylor expansion of 0 in y 1.384 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in (x y) around 0 1.384 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 1.384 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.384 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.384 * [taylor]: Taking taylor expansion of 1/12 in y 1.384 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.384 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.385 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.385 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.385 * [taylor]: Taking taylor expansion of 1/12 in x 1.385 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.385 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.385 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.385 * [taylor]: Taking taylor expansion of 1/12 in x 1.385 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.385 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.385 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.385 * [taylor]: Taking taylor expansion of 1/12 in y 1.385 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.385 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.387 * [taylor]: Taking taylor expansion of 0 in y 1.391 * [taylor]: Taking taylor expansion of 0 in y 1.397 * [taylor]: Taking taylor expansion of 0 in y 1.398 * * * [progress]: simplifying candidates 1.403 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (log1p (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (* (log (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (* (log (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (* 1/2 4) (* 1 4) (* (/ 1/3 2) 4) (* (/ 1 2) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt 4) (cbrt 4))) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt 4)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 1) (pow (* (cbrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) (cbrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (sqrt (cbrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (cbrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt 1)))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt 1))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt 1)) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (* (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt 1) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow 1 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (log (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (exp (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (* (cbrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (cbrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4))) (cbrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (* (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (/ 4 2) (sqrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (sqrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (/ 4 2)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (/ 4 2)) (expm1 (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (log1p (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (* (log (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (* (log (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (* 1/2 4) (* 1 4) (* (/ 1/3 2) 4) (* (/ 1 2) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt 4) (cbrt 4))) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt 4)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 1) (pow (* (cbrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) (cbrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (sqrt (cbrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (cbrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt 1)))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt 1))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt 1)) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (* (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))))) 4) (pow (sqrt (cbrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt 1) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (sqrt (cbrt (sqrt (sqrt (fabs (- x y))))))) 4) (pow 1 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (log (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (exp (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (* (cbrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (cbrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4))) (cbrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (* (* (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (/ 4 2) (sqrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (sqrt (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (/ 4 2)) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (/ 4 2)) (expm1 (cbrt (sqrt (sqrt (fabs (- x y)))))) (log1p (cbrt (sqrt (sqrt (fabs (- x y)))))) (log (cbrt (sqrt (sqrt (fabs (- x y)))))) (exp (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (cbrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt 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y))))))) (cbrt (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 (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) (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) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) (pow (fabs (- x y)) 1/12) 1.409 * * [simplify]: iteration 0 : 172 enodes (cost 1162 ) 1.413 * * [simplify]: iteration 1 : 553 enodes (cost 1080 ) 1.427 * * [simplify]: iteration 2 : 2160 enodes (cost 1010 ) 1.494 * * [simplify]: iteration 3 : 5003 enodes (cost 976 ) 1.498 * [simplify]: Simplified to: (expm1 (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (log1p (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)) (log (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x 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to table 1.858 * [progress]: [Phase 3 of 3] Extracting. 1.858 * * [regime]: Finding splitpoints for: (# # # #) 1.858 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 1.858 * * * * [regimes]: Trying to branch on (- x y) from (# # # #) 1.879 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# # # #) 1.901 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# # # #) 1.928 * * * * [regimes]: Trying to branch on y from (# # # #) 1.947 * * * * [regimes]: Trying to branch on x from (# # # #) 1.967 * * * [regime]: Found split indices: #