41.842 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (sqrt (fabs (- x y))) 0.026 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.027 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.029 * * [simplify]: iteration 2 : 8 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.043 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.043 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.043 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.043 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.044 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.044 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.047 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.048 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.048 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.049 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.052 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.053 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.056 * [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))) 0.058 * * [simplify]: iteration 0 : 28 enodes (cost 72 ) 0.059 * * [simplify]: iteration 1 : 32 enodes (cost 70 ) 0.061 * * [simplify]: iteration 2 : 35 enodes (cost 70 ) 0.062 * * [simplify]: iteration 3 : 40 enodes (cost 70 ) 0.063 * * [simplify]: iteration 4 : 59 enodes (cost 70 ) 0.065 * * [simplify]: iteration 5 : 113 enodes (cost 70 ) 0.070 * * [simplify]: iteration 6 : 540 enodes (cost 70 ) 0.083 * * [simplify]: iteration 7 : 1779 enodes (cost 69 ) 0.148 * * [simplify]: iteration 8 : 5002 enodes (cost 69 ) 0.149 * [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))) 0.149 * * * [progress]: adding candidates to table 0.177 * * [progress]: iteration 2 / 4 0.177 * * * [progress]: picking best candidate 0.181 * * * * [pick]: Picked # 0.181 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.192 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.194 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.194 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.195 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.195 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.195 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.195 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.197 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.198 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.200 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.200 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.200 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.201 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.203 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.203 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.203 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.203 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.203 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.205 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.206 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.206 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.206 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.206 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.208 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.208 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.208 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.208 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.209 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * * * [progress]: simplifying candidates 0.211 * [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))) 0.214 * * [simplify]: iteration 0 : 69 enodes (cost 188 ) 0.216 * * [simplify]: iteration 1 : 91 enodes (cost 184 ) 0.218 * * [simplify]: iteration 2 : 110 enodes (cost 178 ) 0.219 * * [simplify]: iteration 3 : 151 enodes (cost 172 ) 0.222 * * [simplify]: iteration 4 : 280 enodes (cost 172 ) 0.225 * * [simplify]: iteration 5 : 689 enodes (cost 170 ) 0.237 * * [simplify]: iteration 6 : 2267 enodes (cost 170 ) 0.284 * * [simplify]: iteration 7 : 5001 enodes (cost 168 ) 0.285 * [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))) 0.285 * * * [progress]: adding candidates to table 0.363 * * [progress]: iteration 3 / 4 0.363 * * * [progress]: picking best candidate 0.366 * * * * [pick]: Picked # 0.366 * * * [progress]: localizing error 0.373 * * * [progress]: generating rewritten candidates 0.373 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.376 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.379 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.382 * * * [progress]: generating series expansions 0.382 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.382 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.382 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.383 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.383 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.383 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.383 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.385 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.385 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.385 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.386 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.386 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.388 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.388 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.388 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.389 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.389 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.391 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in y 0.391 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.391 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.391 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.391 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.391 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- x y))) 3) in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.391 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (- x y)) 3)) in y 0.392 * [taylor]: Taking taylor expansion of (pow (fabs (- x y)) 3) in y 0.392 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in y 0.397 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.397 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.397 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.397 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.397 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 3) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.397 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (- (/ 1 x) (/ 1 y))) 3)) in y 0.398 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 x) (/ 1 y))) 3) in y 0.398 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in y 0.407 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.407 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.407 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in x 0.407 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.407 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (pow (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 3) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.408 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (pow (fabs (- (/ 1 y) (/ 1 x))) 3)) in y 0.408 * [taylor]: Taking taylor expansion of (pow (fabs (- (/ 1 y) (/ 1 x))) 3) in y 0.408 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.414 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.414 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.415 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.415 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.415 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.415 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.415 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.415 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.417 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.417 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.417 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.417 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.418 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.420 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.420 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.420 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.420 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.420 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * * * [progress]: simplifying candidates 0.423 * [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))) 0.428 * * [simplify]: iteration 0 : 142 enodes (cost 421 ) 0.431 * * [simplify]: iteration 1 : 514 enodes (cost 402 ) 0.446 * * [simplify]: iteration 2 : 3908 enodes (cost 392 ) 0.595 * * [simplify]: iteration 3 : 5001 enodes (cost 392 ) 0.598 * [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))) 0.598 * * * [progress]: adding candidates to table 0.703 * [progress]: [Phase 3 of 3] Extracting. 0.703 * * [regime]: Finding splitpoints for: (# # #) 0.703 * * * [regime-changes]: Trying 5 branch expressions: ((- x y) (fabs (- x y)) (sqrt (fabs (- x y))) y x) 0.703 * * * * [regimes]: Trying to branch on (- x y) from (# # #) 0.720 * * * * [regimes]: Trying to branch on (fabs (- x y)) from (# # #) 0.738 * * * * [regimes]: Trying to branch on (sqrt (fabs (- x y))) from (# # #) 0.763 * * * * [regimes]: Trying to branch on y from (# # #) 0.777 * * * * [regimes]: Trying to branch on x from (# # #) 0.791 * * * [regime]: Found split indices: #