15.147 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 8 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.027 * [taylor]: Taking taylor expansion of 0 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.029 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.029 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.029 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.032 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * * * [progress]: simplifying candidates 0.035 * [simplify]: Simplifying using # : (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.038 * * [simplify]: iteration 0 : 28 enodes (cost 72 ) 0.039 * * [simplify]: iteration 1 : 32 enodes (cost 70 ) 0.040 * * [simplify]: iteration 2 : 35 enodes (cost 70 ) 0.042 * * [simplify]: iteration 3 : 40 enodes (cost 70 ) 0.043 * * [simplify]: iteration 4 : 59 enodes (cost 70 ) 0.045 * * [simplify]: iteration 5 : 113 enodes (cost 70 ) 0.049 * * [simplify]: iteration 6 : 540 enodes (cost 70 ) 0.064 * * [simplify]: iteration 7 : 1779 enodes (cost 69 ) 0.133 * * [simplify]: iteration 8 : 5002 enodes (cost 69 ) 0.134 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.134 * * * [progress]: adding candidates to table 0.167 * * [progress]: iteration 2 / 4 0.167 * * * [progress]: picking best candidate 0.169 * * * * [pick]: Picked # 0.169 * * * [progress]: localizing error 0.176 * * * [progress]: generating rewritten candidates 0.176 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.190 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.191 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.196 * * * [progress]: generating series expansions 0.196 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.197 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.197 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.197 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.200 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.200 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.200 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.200 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.202 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.203 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.203 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.203 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.205 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.205 * [taylor]: Taking taylor expansion of 1/4 in y 0.205 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.205 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.205 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.206 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.206 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.206 * [taylor]: Taking taylor expansion of 1/4 in x 0.206 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.206 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.206 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.206 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.206 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.206 * [taylor]: Taking taylor expansion of 1/4 in x 0.206 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.206 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.206 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.206 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.206 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.206 * [taylor]: Taking taylor expansion of 1/4 in y 0.206 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.206 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.218 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.218 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.218 * [taylor]: Taking taylor expansion of 1/4 in y 0.218 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.218 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.218 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.218 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.218 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.218 * [taylor]: Taking taylor expansion of 1/4 in x 0.218 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.218 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.218 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.218 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.218 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.218 * [taylor]: Taking taylor expansion of 1/4 in x 0.218 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.218 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.219 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.219 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.219 * [taylor]: Taking taylor expansion of 1/4 in y 0.219 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.219 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [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 0.232 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 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 0.232 * [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 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.249 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.249 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.249 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.249 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.249 * [taylor]: Taking taylor expansion of 1/4 in y 0.249 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.249 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.249 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.249 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.249 * [taylor]: Taking taylor expansion of 1/4 in x 0.249 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.249 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.249 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.249 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.249 * [taylor]: Taking taylor expansion of 1/4 in x 0.249 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.249 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.250 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.250 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.250 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.250 * [taylor]: Taking taylor expansion of 1/4 in y 0.250 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.250 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.261 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.261 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.261 * [taylor]: Taking taylor expansion of 1/4 in y 0.261 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.261 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.261 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.261 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.261 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.261 * [taylor]: Taking taylor expansion of 1/4 in x 0.261 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.261 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.262 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.262 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.262 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.262 * [taylor]: Taking taylor expansion of 1/4 in x 0.262 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.262 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.262 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.262 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.262 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.262 * [taylor]: Taking taylor expansion of 1/4 in y 0.262 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.262 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.274 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.274 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.274 * [taylor]: Taking taylor expansion of 1/4 in y 0.274 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.274 * [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 0.275 * [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 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 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.288 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.288 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.288 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.288 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.288 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.288 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 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 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.290 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.291 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.291 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.291 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.291 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.293 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.293 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.293 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.294 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.294 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * * * [progress]: simplifying candidates 0.298 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (log1p (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (fabs (- x y)) (fabs (- x y))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (fabs (- x y)) (fabs (- x y))) (+ 1 1) (+ (log (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y)))))) (log (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (exp (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt 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(sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt 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(cbrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (sqrt (fabs (- x y))))) (log1p (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y))))) (exp (sqrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (sqrt (fabs (- x y))))) (log1p (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y))))) (exp (sqrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.303 * * [simplify]: iteration 0 : 137 enodes (cost 754 ) 0.307 * * [simplify]: iteration 1 : 525 enodes (cost 694 ) 0.321 * * [simplify]: iteration 2 : 3007 enodes (cost 678 ) 0.441 * * [simplify]: iteration 3 : 5002 enodes (cost 663 ) 0.445 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (fabs (- x y)) (sqrt (fabs (- x y))) (pow (sqrt (fabs (- x y))) 4) (fabs (- x y)) (pow (sqrt (fabs (- x y))) 4) 2 (log (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (- x y)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (cbrt (sqrt 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(sqrt (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))) 0.445 * * * [progress]: adding candidates to table 0.646 * [progress]: [Phase 3 of 3] Extracting. 0.646 * * [regime]: Finding splitpoints for: (# #) 0.646 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 0.646 * * * * [regimes]: Trying to branch on (- x y) from (# #) 0.657 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# #) 0.675 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# #) 0.694 * * * * [regimes]: Trying to branch on y from (# #) 0.708 * * * * [regimes]: Trying to branch on x from (# #) 0.719 * * * [regime]: Found split indices: #