23.945 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.014 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.016 * * [simplify]: iteration 2 : 8 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.027 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.027 * [taylor]: Taking taylor expansion of 0 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.029 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.030 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.032 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * * * [progress]: simplifying candidates 0.035 * [simplify]: Simplifying using # : (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.038 * * [simplify]: iteration 0 : 28 enodes (cost 72 ) 0.039 * * [simplify]: iteration 1 : 32 enodes (cost 70 ) 0.040 * * [simplify]: iteration 2 : 35 enodes (cost 70 ) 0.042 * * [simplify]: iteration 3 : 40 enodes (cost 70 ) 0.043 * * [simplify]: iteration 4 : 59 enodes (cost 70 ) 0.045 * * [simplify]: iteration 5 : 113 enodes (cost 70 ) 0.049 * * [simplify]: iteration 6 : 540 enodes (cost 70 ) 0.063 * * [simplify]: iteration 7 : 1779 enodes (cost 69 ) 0.128 * * [simplify]: iteration 8 : 5002 enodes (cost 69 ) 0.128 * [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))) 0.128 * * * [progress]: adding candidates to table 0.152 * * [progress]: iteration 2 / 4 0.152 * * * [progress]: picking best candidate 0.156 * * * * [pick]: Picked # 0.156 * * * [progress]: localizing error 0.164 * * * [progress]: generating rewritten candidates 0.164 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.167 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.169 * * * [progress]: generating series expansions 0.169 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.169 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.169 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.169 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.169 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.170 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.170 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.172 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.172 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.172 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.172 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.172 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.173 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.173 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.175 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.175 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.175 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.175 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.175 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.178 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.178 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.178 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.178 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.178 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.178 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.180 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.180 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.180 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.180 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.180 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.181 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.183 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.183 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.184 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.184 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.186 * * * [progress]: simplifying candidates 0.189 * [simplify]: Simplifying using # : (expm1 (exp (log (sqrt (fabs (- x y)))))) (log1p (exp (log (sqrt (fabs (- x y)))))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (fabs (- x y))))) (cbrt (log (sqrt (fabs (- x y))))))) (exp (sqrt (log (sqrt (fabs (- x y)))))) (exp 1) (exp (log (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))))) (exp (log (cbrt (sqrt (fabs (- x y)))))) (exp (log (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))))) (exp (log (sqrt (cbrt (fabs (- x y)))))) (exp (log (sqrt (sqrt (fabs (- x y)))))) (exp (log (sqrt (sqrt (fabs (- x y)))))) (exp (log (sqrt 1))) (exp (log (sqrt (fabs (- x y))))) (exp (log (sqrt (sqrt (fabs (- x y)))))) (exp (log (sqrt (sqrt (fabs (- x y)))))) (exp (log 1)) (exp (log (sqrt (fabs (- x y))))) (log (exp (log (sqrt (fabs (- x y)))))) (exp (exp (log (sqrt (fabs (- x y)))))) (* (cbrt (exp (log (sqrt (fabs (- x y)))))) (cbrt (exp (log (sqrt (fabs (- x y))))))) (cbrt (exp (log (sqrt (fabs (- x y)))))) (* (* (exp (log (sqrt (fabs (- x y))))) (exp (log (sqrt (fabs (- x y)))))) (exp (log (sqrt (fabs (- x y)))))) (sqrt (exp (log (sqrt (fabs (- x y)))))) (sqrt (exp (log (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))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.192 * * [simplify]: iteration 0 : 69 enodes (cost 188 ) 0.193 * * [simplify]: iteration 1 : 91 enodes (cost 184 ) 0.195 * * [simplify]: iteration 2 : 110 enodes (cost 178 ) 0.197 * * [simplify]: iteration 3 : 151 enodes (cost 172 ) 0.199 * * [simplify]: iteration 4 : 280 enodes (cost 172 ) 0.203 * * [simplify]: iteration 5 : 689 enodes (cost 170 ) 0.214 * * [simplify]: iteration 6 : 2267 enodes (cost 170 ) 0.261 * * [simplify]: iteration 7 : 5001 enodes (cost 168 ) 0.262 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (fabs (- x y))))) (cbrt (log (sqrt (fabs (- x y))))))) (exp (sqrt (log (sqrt (fabs (- x y)))))) E (pow (cbrt (sqrt (fabs (- x y)))) 2) (cbrt (sqrt (fabs (- x y)))) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (pow (cbrt (sqrt (fabs (- x y)))) 2) (cbrt (sqrt (fabs (- x y)))) (pow (fabs (- x y)) 3/2) (sqrt (sqrt (fabs (- x y)))) (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 (cbrt (sqrt (fabs (- x y)))) 2) (cbrt (sqrt (fabs (- x y)))) (pow (fabs (- x y)) 3/2) (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))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.262 * * * [progress]: adding candidates to table 0.322 * * [progress]: iteration 3 / 4 0.322 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.335 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.337 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.341 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.341 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.341 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.341 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.341 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.341 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.343 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.344 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.344 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.344 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.344 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.346 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.347 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.347 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.347 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.347 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.349 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in y 0.349 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.349 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.349 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in x 0.349 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.350 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.350 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.350 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (- x y)) 3)) in y 0.350 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 3) in y 0.350 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in y 0.355 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.355 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.356 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.356 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.356 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.356 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (- (/ 1 x) (/ 1 y))) 3)) in y 0.356 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 3) in y 0.357 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in y 0.363 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.363 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.363 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.363 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.363 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.364 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (- (/ 1 y) (/ 1 x))) 3)) in y 0.364 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 3) in y 0.364 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.370 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.370 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.370 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.370 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.370 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.370 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.372 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.373 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.373 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.373 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.373 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.375 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.375 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.375 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.376 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * * * [progress]: simplifying candidates 0.379 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (sqrt (fabs (- x y))) 3))) (log1p (cbrt (pow (sqrt (fabs (- x y))) 3))) (log (cbrt (pow (sqrt (fabs (- x y))) 3))) (exp (cbrt (pow (sqrt (fabs (- x y))) 3))) (cbrt (pow (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) 3)) (cbrt (pow (cbrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) 3)) (cbrt (pow (sqrt (cbrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (cbrt (* (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (pow (sqrt (fabs (- x y))) 3)))) (cbrt (cbrt (pow (sqrt (fabs (- x y))) 3))) (cbrt (pow (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) 3)) (cbrt (pow (cbrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) 3)) (cbrt (pow (sqrt (cbrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (sqrt (fabs (- x y)))) (cbrt (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y))))) (cbrt (sqrt (pow (sqrt (fabs (- x y))) 3))) (cbrt (sqrt (pow (sqrt (fabs (- x y))) 3))) (cbrt 1) (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (pow (sqrt (fabs (- x y))) (/ 3 2))) (cbrt (pow (sqrt (fabs (- x y))) (/ 3 2))) (* (cbrt (cbrt (pow (sqrt (fabs (- x y))) 3))) (cbrt (cbrt (pow (sqrt (fabs (- x y))) 3)))) (cbrt (cbrt (pow (sqrt (fabs (- x y))) 3))) (* (* (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (pow (sqrt (fabs (- x y))) 3))) (cbrt (pow (sqrt (fabs (- x y))) 3))) (sqrt (cbrt (pow (sqrt (fabs (- x y))) 3))) (sqrt (cbrt (pow (sqrt (fabs (- x y))) 3))) (expm1 (pow (sqrt (fabs (- x y))) 3)) (log1p (pow (sqrt (fabs (- x y))) 3)) (* (log (sqrt (fabs (- x y)))) 3) (* (log (sqrt (fabs (- x y)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (fabs (- x y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (fabs (- x y))) (sqrt 3)) (pow (sqrt (fabs (- x y))) 1) (pow (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) 3) (pow (cbrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) 3) (pow (sqrt (cbrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow 1 3) (pow (sqrt (fabs (- x y))) 3) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (log (pow (sqrt (fabs (- x y))) 3)) (exp (pow (sqrt (fabs (- x y))) 3)) (* (cbrt (pow (sqrt (fabs (- x y))) 3)) (cbrt (pow (sqrt (fabs (- x y))) 3))) (cbrt (pow (sqrt (fabs (- x y))) 3)) (* (* (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (fabs (- x y))) 3)) (pow (sqrt (fabs (- x y))) 3)) (pow (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) 3) (pow (cbrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) 3) (pow (sqrt (cbrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow (sqrt (sqrt (fabs (- x y)))) 3) (pow 1 3) (pow (sqrt (fabs (- x y))) 3) (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (/ 3 2) (sqrt (pow (sqrt (fabs (- x y))) 3)) (sqrt (pow (sqrt (fabs (- x y))) 3)) (pow (sqrt (fabs (- x y))) (/ 3 2)) (pow (sqrt (fabs (- x y))) (/ 3 2)) (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))) (sqrt (pow (fabs (- x y)) 3)) (sqrt (pow (fabs (- x y)) 3)) (sqrt (pow (fabs (- x y)) 3)) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.383 * * [simplify]: iteration 0 : 142 enodes (cost 421 ) 0.387 * * [simplify]: iteration 1 : 514 enodes (cost 402 ) 0.401 * * [simplify]: iteration 2 : 3908 enodes (cost 392 ) 0.552 * * [simplify]: iteration 3 : 5001 enodes (cost 392 ) 0.555 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (pow (sqrt (fabs (- x y))) 3))) (cbrt (sqrt (pow (sqrt (fabs (- x y))) 3))) 1 (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (expm1 (pow (sqrt (fabs (- x y))) 3)) (log1p (pow (sqrt (fabs (- x y))) 3)) (log (pow (sqrt (fabs (- x y))) 3)) (log (pow (sqrt (fabs (- x y))) 3)) 3/2 3 3/2 (pow (sqrt (fabs (- x y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (fabs (- x y))) (sqrt 3)) (sqrt (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (- x y))) (pow (fabs (cbrt (fabs (- x y)))) 3) (pow (sqrt (cbrt (fabs (- x y)))) 3) (pow (sqrt (fabs (- x y))) 3/2) (pow (sqrt (fabs (- x y))) 3/2) 1 (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (fabs (- x y))) 3/2) (pow (sqrt (fabs (- x y))) 3/2) 1 (pow (sqrt (fabs (- x y))) 3) (fabs (- x y)) (log (pow (sqrt (fabs (- x y))) 3)) (exp (pow (sqrt (fabs (- x y))) 3)) (fabs (- x y)) (sqrt (fabs (- x y))) (pow (pow (sqrt (fabs (- x y))) 3) 3) (fabs (- x y)) (sqrt (fabs (- x y))) (pow (fabs (cbrt (fabs (- x y)))) 3) (pow (sqrt (cbrt (fabs (- x y)))) 3) (pow (sqrt (fabs (- x y))) 3/2) (pow (sqrt (fabs (- x y))) 3/2) 1 (pow (sqrt (fabs (- x y))) 3) (pow (sqrt (fabs (- x y))) 3/2) (pow (sqrt (fabs (- x y))) 3/2) 1 (pow (sqrt (fabs (- x y))) 3) (fabs (- x y)) 3/2 (sqrt (pow (sqrt (fabs (- x y))) 3)) (sqrt (pow (sqrt (fabs (- x y))) 3)) (pow (sqrt (fabs (- x y))) 3/2) (pow (sqrt (fabs (- x y))) 3/2) (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (pow (fabs (- x y)) 3)) (sqrt (pow (fabs (- x y)) 3)) (sqrt (pow (fabs (- x y)) 3)) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.555 * * * [progress]: adding candidates to table 0.658 * [progress]: [Phase 3 of 3] Extracting. 0.658 * * [regime]: Finding splitpoints for: (# # #) 0.658 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 0.658 * * * * [regimes]: Trying to branch on (- x y) from (# # #) 0.673 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# # #) 0.692 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# # #) 0.713 * * * * [regimes]: Trying to branch on y from (# # #) 0.729 * * * * [regimes]: Trying to branch on x from (# # #) 0.743 * * * [regime]: Found split indices: #