5.665 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 8 enodes (cost 3 ) 0.017 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.029 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.030 * [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 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.033 * [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 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.036 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.036 * [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 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * * * [progress]: simplifying candidates 0.039 * [simplify]: Simplifying using # : (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 : 26 enodes (cost 64 ) 0.043 * * [simplify]: iteration 1 : 30 enodes (cost 62 ) 0.044 * * [simplify]: iteration 2 : 33 enodes (cost 62 ) 0.046 * * [simplify]: iteration 3 : 38 enodes (cost 62 ) 0.047 * * [simplify]: iteration 4 : 57 enodes (cost 62 ) 0.049 * * [simplify]: iteration 5 : 111 enodes (cost 62 ) 0.054 * * [simplify]: iteration 6 : 538 enodes (cost 62 ) 0.068 * * [simplify]: iteration 7 : 1770 enodes (cost 61 ) 0.133 * * [simplify]: iteration 8 : 5001 enodes (cost 61 ) 0.134 * [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))) 0.134 * * * [progress]: adding candidates to table 0.159 * * [progress]: iteration 2 / 4 0.159 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.184 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.186 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.192 * * * [progress]: generating series expansions 0.192 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.192 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.192 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.192 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.192 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.193 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.193 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.195 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.195 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.195 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.196 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.196 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.198 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.199 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.201 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.201 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.201 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.201 * [taylor]: Taking taylor expansion of 1/4 in y 0.201 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.201 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.202 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.202 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.202 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.202 * [taylor]: Taking taylor expansion of 1/4 in x 0.202 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.202 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.202 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.202 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.202 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.202 * [taylor]: Taking taylor expansion of 1/4 in x 0.202 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.202 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.202 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.202 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.202 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.202 * [taylor]: Taking taylor expansion of 1/4 in y 0.202 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.202 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.214 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.214 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.214 * [taylor]: Taking taylor expansion of 1/4 in y 0.214 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.214 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.215 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.215 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.215 * [taylor]: Taking taylor expansion of 1/4 in x 0.215 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.215 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.215 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.215 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.215 * [taylor]: Taking taylor expansion of 1/4 in x 0.215 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.215 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.216 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.216 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.216 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.216 * [taylor]: Taking taylor expansion of 1/4 in y 0.216 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.216 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.229 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.229 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.229 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.229 * [taylor]: Taking taylor expansion of 1/4 in y 0.229 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.229 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.229 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.229 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.229 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.229 * [taylor]: Taking taylor expansion of 1/4 in x 0.229 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.229 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.229 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.229 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.230 * [taylor]: Taking taylor expansion of 1/4 in x 0.230 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.230 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.230 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.230 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.230 * [taylor]: Taking taylor expansion of 1/4 in y 0.230 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.230 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.243 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.243 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.243 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.243 * [taylor]: Taking taylor expansion of 1/4 in y 0.243 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.243 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.243 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.243 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.243 * [taylor]: Taking taylor expansion of 1/4 in x 0.243 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.243 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.244 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.244 * [taylor]: Taking taylor expansion of 1/4 in x 0.244 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.244 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.244 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.244 * [taylor]: Taking taylor expansion of 1/4 in y 0.244 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.244 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.256 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.256 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.256 * [taylor]: Taking taylor expansion of 1/4 in y 0.256 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.256 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.257 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.257 * [taylor]: Taking taylor expansion of 1/4 in x 0.257 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.257 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.257 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.257 * [taylor]: Taking taylor expansion of 1/4 in x 0.257 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.257 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.257 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.257 * [taylor]: Taking taylor expansion of 1/4 in y 0.257 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.258 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.275 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.275 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.275 * [taylor]: Taking taylor expansion of 1/4 in y 0.275 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.275 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.275 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.275 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.275 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.275 * [taylor]: Taking taylor expansion of 1/4 in x 0.275 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.276 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.276 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.276 * [taylor]: Taking taylor expansion of 1/4 in x 0.276 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.276 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.276 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.276 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.276 * [taylor]: Taking taylor expansion of 1/4 in y 0.276 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.276 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.289 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.289 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.289 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.289 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.290 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.292 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.292 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.295 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.295 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.296 * [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 * * * [progress]: simplifying candidates 0.299 * [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 (- 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 (fabs (- x y))))))) (* (sqrt (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))) (cbrt (fabs (- x y))))))) (* (sqrt (sqrt 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(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 (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))))) (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 (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))) 0.304 * * [simplify]: iteration 0 : 131 enodes (cost 718 ) 0.308 * * [simplify]: iteration 1 : 513 enodes (cost 658 ) 0.321 * * [simplify]: iteration 2 : 2953 enodes (cost 642 ) 0.439 * * [simplify]: iteration 3 : 5002 enodes (cost 627 ) 0.442 * [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) (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 (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (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)))) 1 (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)))) 1 (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)))) 1 (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 (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 (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 2 1/2 1 1/2 (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 5) (* (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (sqrt (fabs (- x y)))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (sqrt (fabs (- x y)))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (fabs (- x y))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (fabs (- x y))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (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))))) (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))))) (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))))) (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))))) (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))) 0.442 * * * [progress]: adding candidates to table 0.628 * * [progress]: iteration 3 / 4 0.628 * * * [progress]: picking best candidate 0.631 * * * * [pick]: Picked # 0.631 * * * [progress]: localizing error 0.642 * * * [progress]: generating rewritten candidates 0.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.654 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.669 * * * [progress]: generating series expansions 0.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.669 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in (x y) around 0 0.670 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in y 0.670 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in y 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in y 0.670 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in y 0.670 * [taylor]: Taking taylor expansion of 1/12 in y 0.670 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.670 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.670 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in x 0.670 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.670 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.670 * [taylor]: Taking taylor expansion of 1/12 in x 0.670 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.670 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.670 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/12) 4) in x 0.670 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/12) in x 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- x y))))) in x 0.670 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- x y)))) in x 0.670 * [taylor]: Taking taylor expansion of 1/12 in x 0.670 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.670 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.671 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/3) in y 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- x y))))) in y 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- x y)))) in y 0.671 * [taylor]: Taking taylor expansion of 1/3 in y 0.671 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.671 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in (x y) around 0 0.686 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in y 0.686 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in y 0.686 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.686 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.687 * [taylor]: Taking taylor expansion of 1/12 in y 0.687 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.687 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.687 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in x 0.687 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.687 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.687 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.687 * [taylor]: Taking taylor expansion of 1/12 in x 0.687 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.687 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.687 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) 4) in x 0.687 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/12) in x 0.687 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.687 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.687 * [taylor]: Taking taylor expansion of 1/12 in x 0.687 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.687 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.688 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/3) in y 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.688 * [taylor]: Taking taylor expansion of 1/3 in y 0.688 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.688 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in (x y) around 0 0.705 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in y 0.705 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in y 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.705 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.705 * [taylor]: Taking taylor expansion of 1/12 in y 0.705 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.705 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.705 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in x 0.705 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.705 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.705 * [taylor]: Taking taylor expansion of 1/12 in x 0.705 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.705 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) 4) in x 0.706 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/12) in x 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.706 * [taylor]: Taking taylor expansion of (* 1/12 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.706 * [taylor]: Taking taylor expansion of 1/12 in x 0.706 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.707 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/3) in y 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.707 * [taylor]: Taking taylor expansion of 1/3 in y 0.707 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.707 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [taylor]: Taking taylor expansion of 0 in y 0.723 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.723 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.723 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.723 * [taylor]: Taking taylor expansion of 1/6 in y 0.723 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.723 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.723 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.723 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.723 * [taylor]: Taking taylor expansion of 1/6 in x 0.723 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.723 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.724 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.724 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.724 * [taylor]: Taking taylor expansion of 1/6 in x 0.724 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.724 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.724 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.724 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.724 * [taylor]: Taking taylor expansion of 1/6 in y 0.724 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.724 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [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 (fabs (- (/ 1 x) (/ 1 y))) 1/6) in (x y) around 0 0.736 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.736 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.736 * [taylor]: Taking taylor expansion of 1/6 in y 0.736 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.736 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.736 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.736 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.736 * [taylor]: Taking taylor expansion of 1/6 in x 0.736 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.736 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.737 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.737 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.737 * [taylor]: Taking taylor expansion of 1/6 in x 0.737 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.737 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.737 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.737 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.737 * [taylor]: Taking taylor expansion of 1/6 in y 0.737 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.737 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.756 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.756 * [taylor]: Taking taylor expansion of 1/6 in y 0.756 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.756 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.757 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.757 * [taylor]: Taking taylor expansion of 1/6 in x 0.757 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.757 * [taylor]: Taking taylor expansion of 1/6 in x 0.757 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.758 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.758 * [taylor]: Taking taylor expansion of 1/6 in y 0.758 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.758 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.771 * [taylor]: Taking taylor expansion of 0 in y 0.771 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.771 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.771 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.771 * [taylor]: Taking taylor expansion of 1/6 in y 0.771 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.771 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.771 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.771 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.771 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.771 * [taylor]: Taking taylor expansion of 1/6 in x 0.771 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.771 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.772 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in x 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in x 0.772 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in x 0.772 * [taylor]: Taking taylor expansion of 1/6 in x 0.772 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.772 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.772 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/6) in y 0.772 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- x y))))) in y 0.772 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- x y)))) in y 0.772 * [taylor]: Taking taylor expansion of 1/6 in y 0.772 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.772 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.774 * [taylor]: Taking taylor expansion of 0 in y 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in (x y) around 0 0.784 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.784 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.784 * [taylor]: Taking taylor expansion of 1/6 in y 0.784 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.784 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.784 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.784 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.784 * [taylor]: Taking taylor expansion of 1/6 in x 0.785 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.785 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.785 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in x 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.785 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.785 * [taylor]: Taking taylor expansion of 1/6 in x 0.785 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.785 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.785 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/6) in y 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.785 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.785 * [taylor]: Taking taylor expansion of 1/6 in y 0.785 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.785 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.799 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.799 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.799 * [taylor]: Taking taylor expansion of 1/6 in y 0.799 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.799 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.799 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.799 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.799 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.799 * [taylor]: Taking taylor expansion of 1/6 in x 0.799 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.799 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in x 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.800 * [taylor]: Taking taylor expansion of 1/6 in x 0.800 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/6) in y 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.800 * [taylor]: Taking taylor expansion of (* 1/6 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.800 * [taylor]: Taking taylor expansion of 1/6 in y 0.800 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.800 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.813 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.814 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.814 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.814 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.814 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.814 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.814 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.816 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.816 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.817 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.817 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.817 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.817 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.817 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.817 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.820 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.820 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.820 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.820 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.820 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * * * [progress]: simplifying candidates 0.825 * [simplify]: Simplifying using # : (* (log (sqrt (cbrt (sqrt (fabs (- x y)))))) 4) (* (log (sqrt (cbrt (sqrt (fabs (- x y)))))) 4) (* 1/2 4) (* 1 4) (* (/ 1/3 2) 4) (* (/ 1 2) 4) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) (* (cbrt 4) (cbrt 4))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt 4)) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 1) (pow (* (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (cbrt (sqrt (fabs (- x y))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) 4) (pow (sqrt (cbrt (cbrt (sqrt (fabs (- x y)))))) 4) (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 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y))))) 4) (cbrt (sqrt (fabs (- x y))))) (* (pow (sqrt (sqrt (cbrt (sqrt (fabs (- x y)))))) 4) (cbrt (sqrt (fabs (- x y))))) (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (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))))) (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y))))) (* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) (/ 4 2)) (cbrt (sqrt (fabs (- x y))))) (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))) 0.831 * * [simplify]: iteration 0 : 223 enodes (cost 1446 ) 0.836 * * [simplify]: iteration 1 : 844 enodes (cost 1268 ) 0.862 * * [simplify]: iteration 2 : 5000 enodes (cost 1098 ) 0.872 * [simplify]: Simplified to: (* 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 (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4) 1 (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (pow (fabs (cbrt (cbrt (sqrt (fabs (- x y)))))) 4) (pow (fabs (cbrt (cbrt (sqrt 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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))))) (* (fabs (cbrt (sqrt (fabs (- x y))))) (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))) 0.873 * * * [progress]: adding candidates to table 1.140 * [progress]: [Phase 3 of 3] Extracting. 1.140 * * [regime]: Finding splitpoints for: (# # #) 1.141 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 1.141 * * * * [regimes]: Trying to branch on (- x y) from (# # #) 1.155 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# # #) 1.178 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# # #) 1.201 * * * * [regimes]: Trying to branch on y from (# # #) 1.216 * * * * [regimes]: Trying to branch on x from (# # #) 1.233 * * * [regime]: Found split indices: #