8.327 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (sqrt (* (* 2.0 x) x)) 0.017 * * [simplify]: iteration 0 : 10 enodes (cost 6 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 6 ) 0.017 * [simplify]: Simplified to: (sqrt (* 2.0 (* x x))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.029 * [taylor]: Taking taylor expansion of 2.0 in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.029 * [taylor]: Taking taylor expansion of 2.0 in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.030 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.030 * [taylor]: Taking taylor expansion of 2.0 in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.030 * [taylor]: Taking taylor expansion of 2.0 in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.031 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.031 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.031 * [taylor]: Taking taylor expansion of 2.0 in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.032 * [taylor]: Taking taylor expansion of 2.0 in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * * * [progress]: simplifying candidates 0.033 * [simplify]: Simplifying using # : (log (sqrt (* (* 2.0 x) x))) (exp (sqrt (* (* 2.0 x) x))) (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (* (* 2.0 x) x))) (* (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (sqrt (* (* 2.0 x) x))) (sqrt (* 2.0 x)) (sqrt x) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) 0.142 * * [simplify]: iteration 0 : 4675 enodes (cost 80 ) 0.142 * * [simplify]: iteration 1 : 4675 enodes (cost 80 ) 0.143 * [simplify]: Simplified to: (log (sqrt (* 2.0 (* x x)))) (exp (sqrt (* 2.0 (* x x)))) (* (cbrt (sqrt (* 2.0 (* x x)))) (cbrt (sqrt (* 2.0 (* x x))))) (cbrt (sqrt (* 2.0 (* x x)))) (pow (sqrt (* 2.0 (* x x))) 3) (sqrt (* 2.0 x)) (sqrt x) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* x x)))) (sqrt (sqrt (* 2.0 (* x x)))) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (neg (sqrt 2.0))) 0.143 * * * [progress]: adding candidates to table 0.169 * * [progress]: iteration 2 / 4 0.169 * * * [progress]: picking best candidate 0.175 * * * * [pick]: Picked # 0.175 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.183 * * * [progress]: generating series expansions 0.183 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.183 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.183 * [taylor]: Taking taylor expansion of 2.0 in x 0.183 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.183 * [taylor]: Taking taylor expansion of 2.0 in x 0.184 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.185 * [taylor]: Taking taylor expansion of 2.0 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.185 * [taylor]: Taking taylor expansion of 2.0 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.186 * [taylor]: Taking taylor expansion of 2.0 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.186 * [taylor]: Taking taylor expansion of 2.0 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * * * [progress]: simplifying candidates 0.188 * [simplify]: Simplifying using # : (* x (sqrt 2.0)) (+ (log x) (log (sqrt 2.0))) (log (* x (sqrt 2.0))) (exp (* x (sqrt 2.0))) (* (* (* x x) x) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* x (sqrt 2.0))) (cbrt (* x (sqrt 2.0)))) (cbrt (* x (sqrt 2.0))) (* (* (* x (sqrt 2.0)) (* x (sqrt 2.0))) (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* x (sqrt (sqrt 2.0))) (* x (sqrt 1)) (* x (sqrt (sqrt 2.0))) (* x 1) (* (cbrt x) (sqrt 2.0)) (* (sqrt x) (sqrt 2.0)) (* x (sqrt 2.0)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) 0.229 * * [simplify]: iteration 0 : 4990 enodes (cost 133 ) 0.229 * * [simplify]: iteration 1 : 4990 enodes (cost 133 ) 0.230 * [simplify]: Simplified to: (* x (sqrt 2.0)) (log (* x (sqrt 2.0))) (log (* x (sqrt 2.0))) (pow (exp x) (sqrt 2.0)) (pow (* x (sqrt 2.0)) 3) (* (cbrt (* x (sqrt 2.0))) (cbrt (* x (sqrt 2.0)))) (cbrt (* x (sqrt 2.0))) (pow (* x (sqrt 2.0)) 3) (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (fabs (cbrt 2.0))) (* x (sqrt (sqrt 2.0))) x (* x (sqrt (sqrt 2.0))) x (* (sqrt 2.0) (cbrt x)) (* (sqrt 2.0) (sqrt x)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) 0.230 * * * [progress]: adding candidates to table 0.256 * * [progress]: iteration 3 / 4 0.256 * * * [progress]: picking best candidate 0.262 * * * * [pick]: Picked # 0.262 * * * [progress]: localizing error 0.267 * * * [progress]: generating rewritten candidates 0.267 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.276 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.283 * * * [progress]: generating series expansions 0.283 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.283 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.283 * [taylor]: Taking taylor expansion of 2.0 in x 0.283 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in x 0.285 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.285 * [taylor]: Taking taylor expansion of 2.0 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.285 * [taylor]: Taking taylor expansion of 2.0 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.287 * [approximate]: Taking taylor expansion of (* x (sqrt (sqrt 2.0))) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt (sqrt 2.0))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt (sqrt 2.0))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.288 * [taylor]: Taking taylor expansion of 2.0 in x 0.289 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.289 * [taylor]: Taking taylor expansion of 2.0 in x 0.289 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.289 * [taylor]: Taking taylor expansion of 2.0 in x 0.291 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2.0)))) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2.0)))) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in x 0.291 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2.0)))) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in x 0.293 * * * [progress]: simplifying candidates 0.294 * [simplify]: Simplifying using # : (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (+ (log x) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (+ (log (* x (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* x x) x) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* x (sqrt (sqrt 2.0))) (* x (sqrt (sqrt 2.0)))) (* x (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* x (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (* x (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* x (sqrt (sqrt 2.0))) (sqrt 1)) (* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* x (sqrt (sqrt 2.0))) 1) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* x (sqrt (sqrt 2.0))) (+ (log x) (log (sqrt (sqrt 2.0)))) (log (* x (sqrt (sqrt 2.0)))) (exp (* x (sqrt (sqrt 2.0)))) (* (* (* x x) x) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (* x (sqrt (sqrt 2.0)))) (cbrt (* x (sqrt (sqrt 2.0))))) (cbrt (* x (sqrt (sqrt 2.0)))) (* (* (* x (sqrt (sqrt 2.0))) (* x (sqrt (sqrt 2.0)))) (* x (sqrt (sqrt 2.0)))) (sqrt (* x (sqrt (sqrt 2.0)))) (sqrt (* x (sqrt (sqrt 2.0)))) (* (sqrt x) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt x) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt x) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt x) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt x) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt x) (sqrt (sqrt (sqrt 2.0)))) (* x (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* x (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* x (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* x (sqrt (sqrt (sqrt 2.0)))) (* x (sqrt (sqrt 1))) (* x (sqrt (sqrt (sqrt 2.0)))) (* x (sqrt 1)) (* x (sqrt (sqrt (sqrt 2.0)))) (* x 1) (* (cbrt x) (sqrt (sqrt 2.0))) (* (sqrt x) (sqrt (sqrt 2.0))) (* x (sqrt (sqrt 2.0))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) 0.342 * * [simplify]: iteration 0 : 5078 enodes (cost 343 ) 0.344 * [simplify]: Simplified to: (* x (sqrt 2.0)) (* x (sqrt 2.0)) (log (* x (sqrt 2.0))) (log (* x (sqrt 2.0))) (log (* x (sqrt 2.0))) (pow (exp x) (sqrt 2.0)) (pow (* x (sqrt 2.0)) 3) (pow (* x (sqrt 2.0)) 3) (* (cbrt (* x (sqrt 2.0))) (cbrt (* x (sqrt 2.0)))) (cbrt (* x (sqrt 2.0))) (pow (* x (sqrt 2.0)) 3) (sqrt (* x (sqrt 2.0))) (sqrt (* x (sqrt 2.0))) (* x (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (* x (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0))))) (* x (* (sqrt (sqrt 2.0)) (sqrt (fabs (cbrt 2.0))))) (* x (pow (sqrt (sqrt 2.0)) 3/2)) (* x (sqrt (sqrt 2.0))) (* x (pow (sqrt (sqrt 2.0)) 3/2)) (* x (sqrt (sqrt 2.0))) (* x (pow (sqrt (sqrt 2.0)) 3/2)) (* x (sqrt (sqrt 2.0))) (sqrt 2.0) (* x (sqrt (sqrt 2.0))) (log (* x (sqrt (sqrt 2.0)))) (log (* x (sqrt (sqrt 2.0)))) (pow (exp x) (sqrt (sqrt 2.0))) (pow (* x (sqrt (sqrt 2.0))) 3) (* (cbrt (* x (sqrt (sqrt 2.0)))) (cbrt (* x (sqrt (sqrt 2.0))))) (cbrt (* x (sqrt (sqrt 2.0)))) (pow (* x (sqrt (sqrt 2.0))) 3) (sqrt (* x (sqrt (sqrt 2.0)))) (sqrt (* x (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (sqrt (sqrt 2.0))) (sqrt x)) (* x (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* x (fabs (cbrt (sqrt 2.0)))) (* x (sqrt (fabs (cbrt 2.0)))) (* x (sqrt (sqrt (sqrt 2.0)))) x (* x (sqrt (sqrt (sqrt 2.0)))) x (* x (sqrt (sqrt (sqrt 2.0)))) x (* (sqrt (sqrt 2.0)) (cbrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* x (sqrt (sqrt 2.0))) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (sqrt (sqrt 2.0))) (* x (sqrt (sqrt 2.0))) (* x (sqrt (sqrt 2.0))) 0.345 * * * [progress]: adding candidates to table 0.407 * * [progress]: iteration 4 / 4 0.407 * * * [progress]: picking best candidate 0.411 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.415 * * * [progress]: generating rewritten candidates 0.416 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.423 * * * [progress]: generating series expansions 0.423 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.423 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.423 * [taylor]: Taking taylor expansion of 2.0 in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.423 * [taylor]: Taking taylor expansion of 2.0 in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.424 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.424 * [taylor]: Taking taylor expansion of 2.0 in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.424 * [taylor]: Taking taylor expansion of 2.0 in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [approximate]: Taking taylor expansion of (* (sqrt (/ -2.0 x)) (sqrt (/ -1 x))) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (* (sqrt (/ -2.0 x)) (sqrt (/ -1 x))) in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (/ -2.0 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ -2.0 x) in x 0.425 * [taylor]: Taking taylor expansion of -2.0 in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* (sqrt (/ -2.0 x)) (sqrt (/ -1 x))) in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ -2.0 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ -2.0 x) in x 0.426 * [taylor]: Taking taylor expansion of -2.0 in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.429 * * * [progress]: simplifying candidates 0.431 * [simplify]: Simplifying using # : (* (* 2.0 x) x) (* (sqrt (* 2.0 x)) (sqrt x)) (* (* 2.0 x) x) (* (* 2.0 x) x) (+ (log (sqrt (* 2.0 x))) (log (sqrt x))) (log (* (sqrt (* 2.0 x)) (sqrt x))) (exp (* (sqrt (* 2.0 x)) (sqrt x))) (* (* (* (sqrt (* 2.0 x)) (sqrt (* 2.0 x))) (sqrt (* 2.0 x))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (* 2.0 x)) (sqrt x))) (cbrt (* (sqrt (* 2.0 x)) (sqrt x)))) (cbrt (* (sqrt (* 2.0 x)) (sqrt x))) (* (* (* (sqrt (* 2.0 x)) (sqrt x)) (* (sqrt (* 2.0 x)) (sqrt x))) (* (sqrt (* 2.0 x)) (sqrt x))) (* (* 2.0 x) x) (sqrt (* (sqrt (* 2.0 x)) (sqrt x))) (sqrt (* (sqrt (* 2.0 x)) (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (* 2.0 x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (* 2.0 x)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (* 2.0 x)) (sqrt (sqrt x))) (* (sqrt (* 2.0 x)) (sqrt 1)) (* (sqrt (* 2.0 x)) (sqrt (sqrt x))) (* (sqrt (* 2.0 x)) 1) (* (cbrt (sqrt (* 2.0 x))) (sqrt x)) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt (* 2.0 x))) (sqrt x)) (* (sqrt (* 2.0 x)) (sqrt x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (- (+ (* 3 (/ (pow NAN 6) (pow x 2))) (pow NAN 2)) (* 2 (/ (pow NAN 4) x))) 0.466 * * [simplify]: iteration 0 : 4931 enodes (cost 241 ) 0.466 * * [simplify]: iteration 1 : 4931 enodes (cost 241 ) 0.467 * [simplify]: Simplified to: (* 2.0 (* x x)) (* (sqrt (* 2.0 x)) (sqrt x)) (* 2.0 (* x x)) (* 2.0 (* x x)) (log (* (sqrt (* 2.0 x)) (sqrt x))) (log (* (sqrt (* 2.0 x)) (sqrt x))) (pow (exp (sqrt (* 2.0 x))) (sqrt x)) (pow (* (sqrt (* 2.0 x)) (sqrt x)) 3) (* (cbrt (* (sqrt (* 2.0 x)) (sqrt x))) (cbrt (* (sqrt (* 2.0 x)) (sqrt x)))) (cbrt (* (sqrt (* 2.0 x)) (sqrt x))) (pow (* (sqrt (* 2.0 x)) (sqrt x)) 3) (* 2.0 (* x x)) (sqrt (* (sqrt (* 2.0 x)) (sqrt x))) (sqrt (* (sqrt (* 2.0 x)) (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x))) (* (sqrt (* 2.0 x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (* 2.0 x)) (fabs (cbrt x))) (* (sqrt (* 2.0 x)) (sqrt (sqrt x))) (sqrt (* 2.0 x)) (* (sqrt (* 2.0 x)) (sqrt (sqrt x))) (sqrt (* 2.0 x)) (* (sqrt x) (cbrt (sqrt (* 2.0 x)))) x (* (sqrt x) (sqrt (sqrt (* 2.0 x)))) (* (sqrt (* 2.0 x)) (sqrt x)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (+ (* NAN NAN) (* (/ (pow NAN 4) x) (+ (/ 3 (/ x (* NAN NAN))) -2))) 0.468 * * * [progress]: adding candidates to table 0.496 * [progress]: [Phase 3 of 3] Extracting. 0.496 * * [regime]: Finding splitpoints for: (# # # # #) 0.496 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) x) 0.496 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (# # # # #) 0.534 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (# # # # #) 0.577 * * * * [regimes]: Trying to branch on x from (# # # # #) 0.613 * * * [regime]: Found split indices: #