25.280 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.014 * * [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))) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.025 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.025 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.025 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.025 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.026 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.026 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.026 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.026 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.026 * [taylor]: Taking taylor expansion of 0 in y 0.027 * [taylor]: Taking taylor expansion of 0 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.028 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.028 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.028 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.028 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.028 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.028 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 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 0 in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.031 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.031 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.031 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 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 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.034 * * * [progress]: simplifying candidates 0.034 * [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))) 0.037 * * [simplify]: iteration 0 : 28 enodes (cost 72 ) 0.038 * * [simplify]: iteration 1 : 32 enodes (cost 70 ) 0.040 * * [simplify]: iteration 2 : 35 enodes (cost 70 ) 0.041 * * [simplify]: iteration 3 : 40 enodes (cost 70 ) 0.043 * * [simplify]: iteration 4 : 59 enodes (cost 70 ) 0.045 * * [simplify]: iteration 5 : 113 enodes (cost 70 ) 0.050 * * [simplify]: iteration 6 : 540 enodes (cost 70 ) 0.064 * * [simplify]: iteration 7 : 1779 enodes (cost 69 ) 0.129 * * [simplify]: iteration 8 : 5002 enodes (cost 69 ) 0.130 * [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))) 0.130 * * * [progress]: adding candidates to table 0.161 * * [progress]: iteration 2 / 4 0.161 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.171 * * * [progress]: generating rewritten candidates 0.171 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.181 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.191 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.191 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.191 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.191 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.191 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.194 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.194 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.194 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.194 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.194 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.198 * [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 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.199 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.199 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.199 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.199 * [taylor]: Taking taylor expansion of 1/4 in y 0.200 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.200 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.200 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.200 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.200 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.200 * [taylor]: Taking taylor expansion of 1/4 in x 0.200 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.200 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.200 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.200 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.200 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.200 * [taylor]: Taking taylor expansion of 1/4 in x 0.200 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.200 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.200 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.200 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.200 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.200 * [taylor]: Taking taylor expansion of 1/4 in y 0.200 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.200 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.212 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.212 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.212 * [taylor]: Taking taylor expansion of 1/4 in y 0.212 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.212 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.212 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.212 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.212 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.212 * [taylor]: Taking taylor expansion of 1/4 in x 0.212 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.212 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.213 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.213 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.213 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.213 * [taylor]: Taking taylor expansion of 1/4 in x 0.213 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.213 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.213 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.213 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.213 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.213 * [taylor]: Taking taylor expansion of 1/4 in y 0.213 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.213 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [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 0.230 * [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 0.230 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.230 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.230 * [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 x 0.230 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.230 * [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 0.231 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.231 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.231 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.231 * [taylor]: Taking taylor expansion of 1/4 in y 0.231 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [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 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.255 * [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 0.256 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.256 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.256 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.256 * [taylor]: Taking taylor expansion of 1/4 in x 0.256 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.256 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.256 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.256 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.256 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.256 * [taylor]: Taking taylor expansion of 1/4 in x 0.256 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.256 * [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 0.257 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.269 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.269 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.269 * [taylor]: Taking taylor expansion of 1/4 in y 0.269 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.269 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.270 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.270 * [taylor]: Taking taylor expansion of 1/4 in x 0.270 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.270 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.270 * [taylor]: Taking taylor expansion of 1/4 in x 0.270 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.270 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.270 * [taylor]: Taking taylor expansion of 1/4 in y 0.270 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.283 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.283 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.283 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.283 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.283 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.284 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.288 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.289 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) 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 0.291 * * * [progress]: simplifying candidates 0.293 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (log1p (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (fabs (- x y)) (fabs (- x y))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (* (fabs (- x y)) (fabs (- x y))) (+ 1 1) (+ (log (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y)))))) (log (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (exp (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))))) (cbrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (sqrt (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))) (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt 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(sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (fabs (- x y)))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt 1)) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) 1) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (sqrt (fabs (- x y))))) (log1p (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y))))) (exp (sqrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (sqrt (fabs (- x y))))) (log1p (sqrt (sqrt (fabs (- x y))))) (log (sqrt (sqrt (fabs (- x y))))) (exp (sqrt (sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y))))) (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt 1)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 1) (sqrt (sqrt (fabs (- x y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.299 * * [simplify]: iteration 0 : 137 enodes (cost 754 ) 0.303 * * [simplify]: iteration 1 : 525 enodes (cost 694 ) 0.317 * * [simplify]: iteration 2 : 3007 enodes (cost 678 ) 0.432 * * [simplify]: iteration 3 : 5002 enodes (cost 663 ) 0.436 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (fabs (- x y)) (sqrt (fabs (- x y))) (pow (sqrt (fabs (- x y))) 4) (fabs (- x y)) (pow (sqrt (fabs (- x y))) 4) 2 (log (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (- x y)) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (cbrt (sqrt 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(sqrt (fabs (- x y))))) (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (fabs (- x y)))) 3) (fabs (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) (sqrt (sqrt (cbrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.437 * * * [progress]: adding candidates to table 0.621 * * [progress]: iteration 3 / 4 0.621 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.636 * * * [progress]: generating rewritten candidates 0.636 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.641 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.669 * * * [progress]: generating series expansions 0.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.670 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/4) 3) in (x y) around 0 0.670 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/4) 3) in y 0.670 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.670 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.670 * [taylor]: Taking taylor expansion of 1/4 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)) 1/4) 3) in x 0.670 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.670 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.670 * [taylor]: Taking taylor expansion of 1/4 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)) 1/4) 3) in x 0.670 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.670 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.670 * [taylor]: Taking taylor expansion of 1/4 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 (pow (fabs (- x y)) 3) 1/4) in y 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (fabs (- x y)) 3)))) in y 0.671 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (fabs (- x y)) 3))) in y 0.671 * [taylor]: Taking taylor expansion of 1/4 in y 0.671 * [taylor]: Taking taylor expansion of (log (pow (fabs (- x y)) 3)) in y 0.671 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 3) 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 0.687 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) 3) in (x y) around 0 0.687 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) 3) in y 0.687 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.687 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.687 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.687 * [taylor]: Taking taylor expansion of 1/4 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))) 1/4) 3) in x 0.687 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.687 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.687 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.687 * [taylor]: Taking taylor expansion of 1/4 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 (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) 3) in x 0.688 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.688 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.688 * [taylor]: Taking taylor expansion of 1/4 in x 0.688 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.688 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.688 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 3) 1/4) in y 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (fabs (- (/ 1 x) (/ 1 y))) 3)))) in y 0.688 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (fabs (- (/ 1 x) (/ 1 y))) 3))) in y 0.688 * [taylor]: Taking taylor expansion of 1/4 in y 0.688 * [taylor]: Taking taylor expansion of (log (pow (fabs (- (/ 1 x) (/ 1 y))) 3)) in y 0.688 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 3) 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 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) 3) in (x y) around 0 0.705 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) 3) in y 0.705 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.705 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.705 * [taylor]: Taking taylor expansion of 1/4 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 0.706 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) 3) in x 0.706 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.706 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.706 * [taylor]: Taking taylor expansion of 1/4 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 0.706 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) 3) in x 0.706 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.706 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.706 * [taylor]: Taking taylor expansion of 1/4 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 (pow (fabs (- (/ 1 y) (/ 1 x))) 3) 1/4) in y 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (fabs (- (/ 1 y) (/ 1 x))) 3)))) in y 0.707 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (fabs (- (/ 1 y) (/ 1 x))) 3))) in y 0.707 * [taylor]: Taking taylor expansion of 1/4 in y 0.707 * [taylor]: Taking taylor expansion of (log (pow (fabs (- (/ 1 y) (/ 1 x))) 3)) in y 0.707 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 3) in y 0.707 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.724 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.724 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.724 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.724 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.724 * [taylor]: Taking taylor expansion of 1/4 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 0.724 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.724 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.724 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.724 * [taylor]: Taking taylor expansion of 1/4 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 0.725 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.725 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.725 * [taylor]: Taking taylor expansion of 1/4 in x 0.725 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.725 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.725 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.725 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.725 * [taylor]: Taking taylor expansion of 1/4 in y 0.725 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.725 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.740 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.740 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.740 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.740 * [taylor]: Taking taylor expansion of 1/4 in y 0.740 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.740 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.741 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.741 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.741 * [taylor]: Taking taylor expansion of 1/4 in x 0.741 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.741 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.741 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.741 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.741 * [taylor]: Taking taylor expansion of 1/4 in x 0.741 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.741 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.741 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.741 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.741 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.742 * [taylor]: Taking taylor expansion of 1/4 in y 0.742 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.742 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.754 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.754 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.754 * [taylor]: Taking taylor expansion of 1/4 in y 0.754 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.754 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.754 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.754 * [taylor]: Taking taylor expansion of 1/4 in x 0.754 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.754 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.755 * [taylor]: Taking taylor expansion of 1/4 in x 0.755 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.755 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.755 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.755 * [taylor]: Taking taylor expansion of 1/4 in y 0.755 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.755 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.757 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.767 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.767 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.767 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.767 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.768 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.768 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.768 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.768 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.768 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.768 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.770 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.770 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.770 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.770 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.770 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.770 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.771 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.771 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.771 * [taylor]: Taking taylor expansion of 0 in y 0.771 * [taylor]: Taking taylor expansion of 0 in y 0.773 * [taylor]: Taking taylor expansion of 0 in y 0.773 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.773 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.773 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.773 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.773 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.773 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.773 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.774 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.774 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.774 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.776 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.776 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in (x y) around 0 0.776 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.776 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.776 * [taylor]: Taking taylor expansion of 1/4 in y 0.776 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.776 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.776 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.776 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.776 * [taylor]: Taking taylor expansion of 1/4 in x 0.776 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.776 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.776 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in x 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in x 0.776 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in x 0.776 * [taylor]: Taking taylor expansion of 1/4 in x 0.776 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 0.776 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.777 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/4) in y 0.777 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- x y))))) in y 0.777 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- x y)))) in y 0.777 * [taylor]: Taking taylor expansion of 1/4 in y 0.777 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 0.777 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in (x y) around 0 0.788 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.788 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.788 * [taylor]: Taking taylor expansion of 1/4 in y 0.788 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.788 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.789 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.789 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.789 * [taylor]: Taking taylor expansion of 1/4 in x 0.789 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.789 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.789 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in x 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 0.789 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 0.789 * [taylor]: Taking taylor expansion of 1/4 in x 0.789 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 0.789 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.789 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/4) in y 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 0.789 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 0.790 * [taylor]: Taking taylor expansion of 1/4 in y 0.790 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 0.790 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in (x y) around 0 0.802 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.802 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.802 * [taylor]: Taking taylor expansion of 1/4 in y 0.802 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.802 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.802 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.802 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.802 * [taylor]: Taking taylor expansion of 1/4 in x 0.802 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.802 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in x 0.803 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 0.803 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 0.803 * [taylor]: Taking taylor expansion of 1/4 in x 0.803 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 0.803 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.803 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/4) in y 0.803 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 0.803 * [taylor]: Taking taylor expansion of (* 1/4 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 0.803 * [taylor]: Taking taylor expansion of 1/4 in y 0.803 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 0.803 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.820 * * * [progress]: simplifying candidates 0.822 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (sqrt (fabs (- x y)))) 3)) (log1p (pow (sqrt (sqrt (fabs (- x y)))) 3)) (* (log (sqrt (sqrt (fabs (- x y))))) 3) (* (log (sqrt (sqrt (fabs (- x y))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (fabs (- x y)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (fabs (- x y)))) (sqrt 3)) (pow (sqrt (sqrt (fabs (- x y)))) 1) (pow (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (cbrt (fabs (- x y))))) 3) (pow 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(log1p (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y))))) (+ (log (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (log (sqrt (sqrt (fabs (- x y)))))) (log (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (exp (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (* (pow (sqrt (sqrt (fabs (- x y)))) 3) (* (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (cbrt (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y))))))) (cbrt (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (* (* (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y))))) (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (pow (sqrt (sqrt 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y)))) 3))) (sqrt (sqrt (fabs (- x y))))) (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (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))))) (pow (pow (fabs (- x y)) 3) 1/4) (pow (pow (fabs (- x y)) 3) 1/4) (pow (pow (fabs (- x y)) 3) 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))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) 0.830 * * [simplify]: iteration 0 : 259 enodes (cost 1723 ) 0.836 * * [simplify]: iteration 1 : 1099 enodes (cost 1267 ) 0.864 * * [simplify]: iteration 2 : 5001 enodes (cost 1180 ) 0.870 * [simplify]: Simplified to: (expm1 (pow (sqrt (sqrt (fabs (- x y)))) 3)) (log1p (pow (sqrt (sqrt (fabs (- x y)))) 3)) (* (log (sqrt (fabs (- x y)))) 3/2) (* (log (sqrt (fabs (- x y)))) 3/2) 3/2 3 3/4 3/2 3/4 (pow (sqrt (sqrt (fabs (- x y)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (fabs (- x y)))) (sqrt 3)) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))) (pow (fabs (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (cbrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) 1 (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) 1 (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) 1 (pow (sqrt (sqrt (fabs (- x y)))) 3) (sqrt (fabs (- x y))) (* (log (sqrt (fabs (- x y)))) 3/2) (exp (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))) (pow (pow (sqrt (sqrt (fabs (- x y)))) 3) 3) (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))) (pow (fabs (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (cbrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) 1 (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) 1 (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) 1 (pow (sqrt (sqrt (fabs (- x y)))) 3) (sqrt (fabs (- x y))) 3/2 (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (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 (fabs (- x y)))) (cbrt (sqrt (sqrt (fabs (- x y))))) (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)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (sqrt (fabs (- x y))))) (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)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) 1 (sqrt (sqrt (fabs (- x y)))) (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) 1 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (fabs (- x y)))) 3) (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y))))) (expm1 (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (log1p (* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))) (sqrt (fabs (- x y))) (log (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (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)))) (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)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (* (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (sqrt (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)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 5) (* (fabs (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))))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (sqrt (fabs (- x y)))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (sqrt (fabs (- x y)))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (cbrt (fabs (- x y)))))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (fabs (- x y))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (fabs (- x y))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (fabs (- x y))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (cbrt (sqrt (fabs (- x y)))))) (* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (cbrt (fabs (- x y)))))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (fabs (- x y))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (fabs (- x y))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (sqrt (fabs (- x y))) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 5) (* (cbrt (sqrt (pow (sqrt (sqrt (fabs (- x y)))) 3))) (sqrt (sqrt (fabs (- x y))))) (sqrt (fabs (- x y))) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (pow (cbrt (sqrt (sqrt (fabs (- x y))))) 4) (pow (sqrt (sqrt (fabs (- x y)))) 3/2) (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 (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))))) (pow (pow (fabs (- x y)) 3) 1/4) (pow (pow (fabs (- x y)) 3) 1/4) (pow (pow (fabs (- x y)) 3) 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))) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) (pow (fabs (- x y)) 1/4) 0.871 * * * [progress]: adding candidates to table 1.125 * * [progress]: iteration 4 / 4 1.125 * * * [progress]: picking best candidate 1.128 * * * * [pick]: Picked # 1.128 * * * [progress]: localizing error 1.138 * * * [progress]: generating rewritten candidates 1.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.162 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.176 * * * [progress]: generating series expansions 1.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.176 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/8) 3) in (x y) around 0 1.176 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/8) 3) in y 1.176 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in y 1.176 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in y 1.176 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in y 1.176 * [taylor]: Taking taylor expansion of 1/8 in y 1.176 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.176 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.176 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/8) 3) in x 1.176 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in x 1.176 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in x 1.176 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in x 1.176 * [taylor]: Taking taylor expansion of 1/8 in x 1.176 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.176 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.177 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 1/8) 3) in x 1.177 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in x 1.177 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in x 1.177 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in x 1.177 * [taylor]: Taking taylor expansion of 1/8 in x 1.177 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.177 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.177 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- x y)) 3) 1/8) in y 1.177 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (pow (fabs (- x y)) 3)))) in y 1.177 * [taylor]: Taking taylor expansion of (* 1/8 (log (pow (fabs (- x y)) 3))) in y 1.177 * [taylor]: Taking taylor expansion of 1/8 in y 1.177 * [taylor]: Taking taylor expansion of (log (pow (fabs (- x y)) 3)) in y 1.177 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 3) in y 1.177 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.180 * [taylor]: Taking taylor expansion of 0 in y 1.185 * [taylor]: Taking taylor expansion of 0 in y 1.193 * [taylor]: Taking taylor expansion of 0 in y 1.193 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) 3) in (x y) around 0 1.193 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) 3) in y 1.193 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in y 1.193 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.193 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.193 * [taylor]: Taking taylor expansion of 1/8 in y 1.193 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.193 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.194 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) 3) in x 1.197 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in x 1.197 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.197 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.197 * [taylor]: Taking taylor expansion of 1/8 in x 1.197 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.198 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) 3) in x 1.198 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in x 1.198 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.198 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.198 * [taylor]: Taking taylor expansion of 1/8 in x 1.198 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.198 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.199 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 x) (/ 1 y))) 3) 1/8) in y 1.199 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (pow (fabs (- (/ 1 x) (/ 1 y))) 3)))) in y 1.199 * [taylor]: Taking taylor expansion of (* 1/8 (log (pow (fabs (- (/ 1 x) (/ 1 y))) 3))) in y 1.199 * [taylor]: Taking taylor expansion of 1/8 in y 1.199 * [taylor]: Taking taylor expansion of (log (pow (fabs (- (/ 1 x) (/ 1 y))) 3)) in y 1.199 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 3) in y 1.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.202 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.216 * [approximate]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) 3) in (x y) around 0 1.216 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) 3) in y 1.216 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in y 1.216 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.216 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.216 * [taylor]: Taking taylor expansion of 1/8 in y 1.216 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.216 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.216 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) 3) in x 1.216 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in x 1.216 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.216 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.216 * [taylor]: Taking taylor expansion of 1/8 in x 1.216 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.216 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) 3) in x 1.217 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in x 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.217 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.217 * [taylor]: Taking taylor expansion of 1/8 in x 1.217 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.217 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.218 * [taylor]: Taking taylor expansion of (pow (pow (fabs (- (/ 1 y) (/ 1 x))) 3) 1/8) in y 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (pow (fabs (- (/ 1 y) (/ 1 x))) 3)))) in y 1.218 * [taylor]: Taking taylor expansion of (* 1/8 (log (pow (fabs (- (/ 1 y) (/ 1 x))) 3))) in y 1.218 * [taylor]: Taking taylor expansion of 1/8 in y 1.218 * [taylor]: Taking taylor expansion of (log (pow (fabs (- (/ 1 y) (/ 1 x))) 3)) in y 1.218 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 3) in y 1.218 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.220 * [taylor]: Taking taylor expansion of 0 in y 1.226 * [taylor]: Taking taylor expansion of 0 in y 1.234 * [taylor]: Taking taylor expansion of 0 in y 1.235 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.235 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 1.235 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 1.235 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.235 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 1.235 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 1.235 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 1.235 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.236 * [taylor]: Taking taylor expansion of 0 in y 1.236 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 1.237 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 1.237 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.238 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 1.238 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.238 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 1.238 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.238 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 1.238 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.238 * [taylor]: Taking taylor expansion of 0 in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.240 * [taylor]: Taking taylor expansion of 0 in y 1.240 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.240 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 1.240 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.241 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 1.241 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 1.241 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 1.241 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.241 * [taylor]: Taking taylor expansion of 0 in y 1.242 * [taylor]: Taking taylor expansion of 0 in y 1.243 * [taylor]: Taking taylor expansion of 0 in y 1.243 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.243 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in (x y) around 0 1.243 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in y 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in y 1.243 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in y 1.243 * [taylor]: Taking taylor expansion of 1/8 in y 1.243 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.243 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.244 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in x 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in x 1.244 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in x 1.244 * [taylor]: Taking taylor expansion of 1/8 in x 1.244 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.244 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.244 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in x 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in x 1.244 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in x 1.244 * [taylor]: Taking taylor expansion of 1/8 in x 1.244 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.244 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.244 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in y 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in y 1.244 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in y 1.244 * [taylor]: Taking taylor expansion of 1/8 in y 1.244 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.244 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.246 * [taylor]: Taking taylor expansion of 0 in y 1.250 * [taylor]: Taking taylor expansion of 0 in y 1.256 * [taylor]: Taking taylor expansion of 0 in y 1.256 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in (x y) around 0 1.256 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in y 1.256 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.256 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.256 * [taylor]: Taking taylor expansion of 1/8 in y 1.256 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.256 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.256 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in x 1.256 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.256 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.256 * [taylor]: Taking taylor expansion of 1/8 in x 1.256 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.256 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.257 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in x 1.257 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.257 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.257 * [taylor]: Taking taylor expansion of 1/8 in x 1.257 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.257 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.257 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in y 1.257 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.257 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.257 * [taylor]: Taking taylor expansion of 1/8 in y 1.257 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.257 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.263 * [taylor]: Taking taylor expansion of 0 in y 1.269 * [taylor]: Taking taylor expansion of 0 in y 1.269 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in (x y) around 0 1.269 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in y 1.269 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.269 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.269 * [taylor]: Taking taylor expansion of 1/8 in y 1.269 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.269 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in x 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.270 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.270 * [taylor]: Taking taylor expansion of 1/8 in x 1.270 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in x 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.270 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.270 * [taylor]: Taking taylor expansion of 1/8 in x 1.270 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in y 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.270 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.270 * [taylor]: Taking taylor expansion of 1/8 in y 1.270 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.270 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.272 * [taylor]: Taking taylor expansion of 0 in y 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.285 * [taylor]: Taking taylor expansion of 0 in y 1.285 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.285 * [approximate]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in (x y) around 0 1.285 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in y 1.285 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in y 1.285 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in y 1.285 * [taylor]: Taking taylor expansion of 1/8 in y 1.285 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.285 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.286 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in x 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in x 1.286 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in x 1.286 * [taylor]: Taking taylor expansion of 1/8 in x 1.286 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.286 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.286 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in x 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in x 1.286 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in x 1.286 * [taylor]: Taking taylor expansion of 1/8 in x 1.286 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in x 1.286 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 1.286 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 1/8) in y 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- x y))))) in y 1.286 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- x y)))) in y 1.286 * [taylor]: Taking taylor expansion of 1/8 in y 1.286 * [taylor]: Taking taylor expansion of (log (fabs (- x y))) in y 1.286 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 1.288 * [taylor]: Taking taylor expansion of 0 in y 1.291 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in (x y) around 0 1.297 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in y 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.297 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.298 * [taylor]: Taking taylor expansion of 1/8 in y 1.298 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.298 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.298 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in x 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.298 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.298 * [taylor]: Taking taylor expansion of 1/8 in x 1.298 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.298 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.298 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in x 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in x 1.298 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in x 1.298 * [taylor]: Taking taylor expansion of 1/8 in x 1.298 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in x 1.298 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.299 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 1/8) in y 1.299 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y)))))) in y 1.299 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 x) (/ 1 y))))) in y 1.299 * [taylor]: Taking taylor expansion of 1/8 in y 1.299 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 x) (/ 1 y)))) in y 1.299 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.304 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [approximate]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in (x y) around 0 1.311 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in y 1.311 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.311 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.311 * [taylor]: Taking taylor expansion of 1/8 in y 1.311 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.311 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.311 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in x 1.312 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.312 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.312 * [taylor]: Taking taylor expansion of 1/8 in x 1.312 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.312 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.312 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in x 1.312 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in x 1.312 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in x 1.312 * [taylor]: Taking taylor expansion of 1/8 in x 1.312 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in x 1.312 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.312 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 1/8) in y 1.312 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x)))))) in y 1.312 * [taylor]: Taking taylor expansion of (* 1/8 (log (fabs (- (/ 1 y) (/ 1 x))))) in y 1.312 * [taylor]: Taking taylor expansion of 1/8 in y 1.312 * [taylor]: Taking taylor expansion of (log (fabs (- (/ 1 y) (/ 1 x)))) in y 1.312 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.314 * [taylor]: Taking taylor expansion of 0 in y 1.318 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.324 * * * [progress]: simplifying candidates 1.327 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (log1p (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (* (log (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (* (log (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1/2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (log (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (exp (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (pow (* (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (sqrt (fabs (- x y))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (fabs (- x y)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) (/ 3 2)) (expm1 (* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (log1p (* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (+ 1 3) (+ (log (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (log (sqrt (sqrt (sqrt (fabs (- x y)))))) 3)) (+ (log (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (log (sqrt (sqrt (sqrt (fabs (- x y)))))) 3)) (+ (log (sqrt (sqrt (sqrt (fabs (- x y)))))) (log (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (log (* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (exp (* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (* (* (* (sqrt (sqrt (sqrt (fabs (- x y))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (sqrt (fabs (- x y)))))) (* (* (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (* (cbrt (* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (cbrt (* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)))) (cbrt (* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))) (* (* (* 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(- x y))) y x) 1.680 * * * * [regimes]: Trying to branch on (- x y) from (# # #) 1.695 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# # #) 1.713 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# # #) 1.736 * * * * [regimes]: Trying to branch on y from (# # #) 1.750 * * * * [regimes]: Trying to branch on x from (# # #) 1.767 * * * [regime]: Found split indices: #