26.145 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.032 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 0.033 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.033 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.048 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.050 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.050 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.050 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.050 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.052 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.052 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.052 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.053 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.054 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.054 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.055 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (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))) 0.175 * * [simplify]: iteration 0 : 4722 enodes (cost 96 ) 0.175 * * [simplify]: iteration 1 : 4722 enodes (cost 96 ) 0.176 * [simplify]: Simplified to: (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))) 0.176 * * * [progress]: adding candidates to table 0.190 * * [progress]: iteration 2 / 4 0.190 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.217 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.217 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.217 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.217 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.218 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.218 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.219 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.219 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.219 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.219 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.219 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.220 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.220 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.220 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.220 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.221 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.221 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.222 * [taylor]: Taking taylor expansion of 1/4 in y 0.222 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.222 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.222 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.222 * [taylor]: Taking taylor expansion of 1/4 in x 0.222 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.222 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.222 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.222 * [taylor]: Taking taylor expansion of 1/4 in x 0.222 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.222 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.222 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.222 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.222 * [taylor]: Taking taylor expansion of 1/4 in y 0.222 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.222 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.225 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.225 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.225 * [taylor]: Taking taylor expansion of 1/4 in y 0.225 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.225 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.225 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.225 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.225 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.225 * [taylor]: Taking taylor expansion of 1/4 in x 0.225 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.225 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.226 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.226 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.226 * [taylor]: Taking taylor expansion of 1/4 in x 0.226 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.226 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.226 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.226 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.226 * [taylor]: Taking taylor expansion of 1/4 in y 0.226 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.226 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.232 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.232 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.232 * [taylor]: Taking taylor expansion of 1/4 in y 0.232 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.232 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.232 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.232 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.232 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.232 * [taylor]: Taking taylor expansion of 1/4 in x 0.232 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.233 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.233 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.233 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.233 * [taylor]: Taking taylor expansion of 1/4 in x 0.233 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.233 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.233 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.233 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.233 * [taylor]: Taking taylor expansion of 1/4 in y 0.233 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.233 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.236 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.236 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.236 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.236 * [taylor]: Taking taylor expansion of 1/4 in y 0.236 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.236 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.236 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.237 * [taylor]: Taking taylor expansion of 1/4 in x 0.237 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.237 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.237 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.237 * [taylor]: Taking taylor expansion of 1/4 in x 0.237 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.237 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.237 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.237 * [taylor]: Taking taylor expansion of 1/4 in y 0.237 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.237 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.239 * [taylor]: Taking taylor expansion of 1/4 in y 0.239 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.239 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.240 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.240 * [taylor]: Taking taylor expansion of 1/4 in x 0.240 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.240 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.240 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.240 * [taylor]: Taking taylor expansion of 1/4 in x 0.240 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.240 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.240 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.240 * [taylor]: Taking taylor expansion of 1/4 in y 0.240 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.240 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.243 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.243 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.243 * [taylor]: Taking taylor expansion of 1/4 in y 0.244 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.244 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.244 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.244 * [taylor]: Taking taylor expansion of 1/4 in x 0.244 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.244 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.244 * [taylor]: Taking taylor expansion of 1/4 in x 0.244 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.244 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.244 * [taylor]: Taking taylor expansion of 1/4 in y 0.244 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.245 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.248 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.248 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.248 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.248 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.248 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.248 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.248 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.248 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.248 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.249 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.250 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.250 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.250 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.251 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.252 * * * [progress]: simplifying candidates 0.253 * [simplify]: Simplifying using # : (+ 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 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y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (fabs (- x y)))) (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 1) (sqrt 1)) (* (sqrt (sqrt (fabs (- x y)))) (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)))))) (* 1 1) (* (sqrt (sqrt (fabs (- x y)))) (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))))) (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 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(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))))) (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))))) (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))) 0.312 * * [simplify]: iteration 0 : 4941 enodes (cost 906 ) 0.313 * * [simplify]: iteration 1 : 4941 enodes (cost 906 ) 0.317 * [simplify]: Simplified to: 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) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (- x y)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 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(fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (cbrt (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))) (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))) 0.318 * * * [progress]: adding candidates to table 0.378 * [progress]: [Phase 3 of 3] Extracting. 0.378 * * [regime]: Finding splitpoints for: (# #) 0.378 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 0.378 * * * * [regimes]: Trying to branch on (- x y) from (# #) 0.410 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# #) 0.445 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# #) 0.485 * * * * [regimes]: Trying to branch on y from (# #) 0.515 * * * * [regimes]: Trying to branch on x from (# #) 0.547 * * * [regime]: Found split indices: #