4.565 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (* (* 2.0 x) x)) 0.016 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 10 enodes (cost 3 ) 0.018 * [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)) 0.035 * * [simplify]: iteration 0 : 33 enodes (cost 45 ) 0.036 * * [simplify]: iteration 1 : 60 enodes (cost 43 ) 0.038 * * [simplify]: iteration 2 : 86 enodes (cost 43 ) 0.039 * * [simplify]: iteration 3 : 100 enodes (cost 43 ) 0.041 * * [simplify]: iteration 4 : 119 enodes (cost 43 ) 0.043 * * [simplify]: iteration 5 : 173 enodes (cost 43 ) 0.048 * * [simplify]: iteration 6 : 600 enodes (cost 43 ) 0.063 * * [simplify]: iteration 7 : 1831 enodes (cost 43 ) 0.129 * * [simplify]: iteration 8 : 5001 enodes (cost 43 ) 0.130 * [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))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) 0.130 * * * [progress]: adding candidates to table 0.152 * * [progress]: iteration 2 / 4 0.152 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.163 * * * [progress]: generating rewritten candidates 0.163 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.168 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.168 * [taylor]: Taking taylor expansion of 2.0 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.168 * [taylor]: Taking taylor expansion of 2.0 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.169 * [taylor]: Taking taylor expansion of 2.0 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.169 * [taylor]: Taking taylor expansion of 2.0 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.172 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.172 * [taylor]: Taking taylor expansion of -1 in x 0.172 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.172 * [taylor]: Taking taylor expansion of 2.0 in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.173 * [taylor]: Taking taylor expansion of 2.0 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * * * [progress]: simplifying candidates 0.174 * [simplify]: Simplifying using # : (* (sqrt 2.0) x) (+ (log (sqrt 2.0)) (log x)) (log (* (sqrt 2.0) x)) (exp (* (sqrt 2.0) x)) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* x x) x)) (* (cbrt (* (sqrt 2.0) x)) (cbrt (* (sqrt 2.0) x))) (cbrt (* (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)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt 2.0) (* (cbrt x) (cbrt x))) (* (sqrt 2.0) (sqrt x)) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) x) (* (sqrt (cbrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) 0.176 * * [simplify]: iteration 0 : 64 enodes (cost 84 ) 0.178 * * [simplify]: iteration 1 : 224 enodes (cost 80 ) 0.182 * * [simplify]: iteration 2 : 521 enodes (cost 80 ) 0.187 * * [simplify]: iteration 3 : 809 enodes (cost 80 ) 0.198 * * [simplify]: iteration 4 : 1933 enodes (cost 80 ) 0.228 * * [simplify]: iteration 5 : 5001 enodes (cost 80 ) 0.229 * [simplify]: Simplified to: (* (sqrt 2.0) x) (log (* (sqrt 2.0) x)) (log (* (sqrt 2.0) x)) (exp (* (sqrt 2.0) x)) (pow (* (sqrt 2.0) x) 3) (* (cbrt (* (sqrt 2.0) x)) (cbrt (* (sqrt 2.0) x))) (cbrt (* (sqrt 2.0) x)) (pow (* (sqrt 2.0) x) 3) (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 2.0)) (sqrt x)) (* (sqrt 2.0) (* (cbrt x) (cbrt x))) (* (sqrt 2.0) (sqrt x)) (sqrt 2.0) (* (cbrt (sqrt 2.0)) x) (* (sqrt (cbrt 2.0)) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) 0.229 * * * [progress]: adding candidates to table 0.256 * * [progress]: iteration 3 / 4 0.256 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.267 * * * [progress]: localizing error 0.273 * * * [progress]: generating rewritten candidates 0.273 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.281 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.288 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.288 * [taylor]: Taking taylor expansion of 2.0 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) 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 x in x 0.290 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.290 * [taylor]: Taking taylor expansion of 2.0 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.290 * [taylor]: Taking taylor expansion of 2.0 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) 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 x in x 0.291 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) 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 x in x 0.294 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.294 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) x) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) x) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.294 * [taylor]: Taking taylor expansion of 2.0 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) x) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.294 * [taylor]: Taking taylor expansion of 2.0 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.298 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (sqrt 2.0)) (/ 1 x))) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (sqrt 2.0)) (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of -1 in x 0.299 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.299 * [taylor]: Taking taylor expansion of 2.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (sqrt 2.0)) (/ 1 x))) in x 0.299 * [taylor]: Taking taylor expansion of -1 in x 0.299 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.299 * [taylor]: Taking taylor expansion of 2.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.301 * * * [progress]: simplifying candidates 0.301 * [simplify]: Simplifying using # : (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log x))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) x))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) 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 x) x))) (* (* (* (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))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)))) (cbrt (* (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)) x))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) x) (+ (log (sqrt (sqrt 2.0))) (log x)) (log (* (sqrt (sqrt 2.0)) x)) (exp (* (sqrt (sqrt 2.0)) x)) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* x x) x)) (* (cbrt (* (sqrt (sqrt 2.0)) x)) (cbrt (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) x)) (* (* (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt 2.0)) x)) (sqrt (* (sqrt (sqrt 2.0)) x)) (sqrt (* (sqrt (sqrt 2.0)) 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))) (sqrt x)) (* (sqrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (sqrt (sqrt 2.0)) (sqrt x)) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (sqrt (sqrt (cbrt 2.0))) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) 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)) x) 0.304 * * [simplify]: iteration 0 : 124 enodes (cost 289 ) 0.307 * * [simplify]: iteration 1 : 514 enodes (cost 247 ) 0.317 * * [simplify]: iteration 2 : 1459 enodes (cost 247 ) 0.334 * * [simplify]: iteration 3 : 2280 enodes (cost 247 ) 0.363 * * [simplify]: iteration 4 : 5001 enodes (cost 247 ) 0.365 * [simplify]: Simplified to: (* (sqrt 2.0) x) (* (sqrt 2.0) x) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (pow (exp (sqrt 2.0)) x) (pow (* (sqrt 2.0) x) 3) (pow (* (sqrt 2.0) x) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x)))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (pow (* (sqrt 2.0) x) 3) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) x))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt 2.0) x) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt 2.0) x) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) x)) (* (sqrt 2.0) x) (* (sqrt (sqrt 2.0)) x) (log (* (sqrt (sqrt 2.0)) x)) (log (* (sqrt (sqrt 2.0)) x)) (exp (* (sqrt (sqrt 2.0)) x)) (pow (* (sqrt (sqrt 2.0)) x) 3) (* (cbrt (* (sqrt (sqrt 2.0)) x)) (cbrt (* (sqrt (sqrt 2.0)) x))) (cbrt (* (sqrt (sqrt 2.0)) x)) (pow (* (sqrt (sqrt 2.0)) x) 3) (sqrt (* (sqrt (sqrt 2.0)) x)) (sqrt (* (sqrt (sqrt 2.0)) 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))) (sqrt x)) (* (sqrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (sqrt (sqrt 2.0)) (sqrt x)) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (sqrt (sqrt (cbrt 2.0))) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) x) (* (sqrt (sqrt 2.0)) x) (* (sqrt (sqrt (sqrt 2.0))) 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)) x) 0.365 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 4 / 4 0.445 * * * [progress]: picking best candidate 0.453 * * * * [pick]: Picked # 0.453 * * * [progress]: localizing error 0.461 * * * [progress]: generating rewritten candidates 0.461 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.472 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.480 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.480 * [taylor]: Taking taylor expansion of 2.0 in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.480 * [taylor]: Taking taylor expansion of 2.0 in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.481 * [taylor]: Taking taylor expansion of 2.0 in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.481 * [taylor]: Taking taylor expansion of 2.0 in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.482 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.482 * [taylor]: Taking taylor expansion of 2.0 in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.483 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.483 * [taylor]: Taking taylor expansion of 2.0 in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.484 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) x) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) x) in x 0.484 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.484 * [taylor]: Taking taylor expansion of 1/3 in x 0.484 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.484 * [taylor]: Taking taylor expansion of 2.0 in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) x) in x 0.484 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.484 * [taylor]: Taking taylor expansion of 1/3 in x 0.484 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.484 * [taylor]: Taking taylor expansion of 2.0 in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.496 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.496 * [taylor]: Taking taylor expansion of 1/3 in x 0.496 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.496 * [taylor]: Taking taylor expansion of 2.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.497 * [taylor]: Taking taylor expansion of 1/3 in x 0.497 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.497 * [taylor]: Taking taylor expansion of 2.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (* -1 (* (pow (sqrt 2.0) 1/3) (/ 1 x))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sqrt 2.0) 1/3) (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.504 * [taylor]: Taking taylor expansion of 1/3 in x 0.504 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.504 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.504 * [taylor]: Taking taylor expansion of 2.0 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sqrt 2.0) 1/3) (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in x 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in x 0.504 * [taylor]: Taking taylor expansion of 1/3 in x 0.504 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in x 0.504 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.504 * [taylor]: Taking taylor expansion of 2.0 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.512 * * * [progress]: simplifying candidates 0.513 * [simplify]: Simplifying using # : (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log x))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) x))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log x))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) x))) (log (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (exp (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (* (* x x) x))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (* (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt 2.0) (* (* x x) x))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x))) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x) (+ (log (cbrt (sqrt 2.0))) (log x)) (log (* (cbrt (sqrt 2.0)) x)) (exp (* (cbrt (sqrt 2.0)) x)) (* (sqrt 2.0) (* (* x x) x)) (* (cbrt (* (cbrt (sqrt 2.0)) x)) (cbrt (* (cbrt (sqrt 2.0)) x))) (cbrt (* (cbrt (sqrt 2.0)) x)) (* (* (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt 2.0)) x)) (sqrt (* (cbrt (sqrt 2.0)) x)) (sqrt (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (cbrt (sqrt 2.0)) (sqrt x)) (* (cbrt (sqrt 2.0)) 1) (* (cbrt (cbrt (sqrt 2.0))) x) (* (cbrt (sqrt (cbrt 2.0))) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (cbrt (sqrt 2.0)) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (cbrt (sqrt 2.0)) x) (* (cbrt (cbrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (cbrt (sqrt 2.0)) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) 0.516 * * [simplify]: iteration 0 : 155 enodes (cost 394 ) 0.520 * * [simplify]: iteration 1 : 670 enodes (cost 289 ) 0.539 * * [simplify]: iteration 2 : 4049 enodes (cost 252 ) 0.637 * * [simplify]: iteration 3 : 5002 enodes (cost 240 ) 0.638 * [simplify]: Simplified to: (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (+ (log (sqrt 2.0)) (log x)) (pow (exp x) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x)))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (* (* 2.0 (pow x 3)) (sqrt 2.0)) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) x))) (sqrt 2.0) (* x (pow (sqrt 2.0) 2/3)) (* (pow (sqrt 2.0) 1/3) x) (log (* (cbrt (sqrt 2.0)) x)) (log (* (cbrt (sqrt 2.0)) x)) (exp (* (cbrt (sqrt 2.0)) x)) (pow (* (pow (sqrt 2.0) 1/3) x) 3) (* (cbrt (* (cbrt (sqrt 2.0)) x)) (cbrt (* (cbrt (sqrt 2.0)) x))) (cbrt (* (cbrt (sqrt 2.0)) x)) (pow (* (pow (sqrt 2.0) 1/3) x) 3) (sqrt (* (cbrt (sqrt 2.0)) x)) (sqrt (* (cbrt (sqrt 2.0)) x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (sqrt (cbrt (sqrt 2.0))) (sqrt x)) (* (cbrt (sqrt 2.0)) (* (cbrt x) (cbrt x))) (* (cbrt (sqrt 2.0)) (sqrt x)) (pow (sqrt 2.0) 1/3) (* (cbrt (cbrt (sqrt 2.0))) x) (* (cbrt (sqrt (cbrt 2.0))) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (pow (sqrt 2.0) 1/3) x) (* (cbrt (sqrt (sqrt 2.0))) x) (* (pow (sqrt 2.0) 1/3) x) (* (cbrt (cbrt (sqrt 2.0))) x) (* (sqrt (cbrt (sqrt 2.0))) x) (* (pow (sqrt 2.0) 1/3) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) (* (pow (sqrt 2.0) 1/3) x) 0.639 * * * [progress]: adding candidates to table 0.730 * [progress]: [Phase 3 of 3] Extracting. 0.730 * * [regime]: Finding splitpoints for: (# # # # # #) 0.731 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) x) 0.731 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (# # # # # #) 0.776 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (# # # # # #) 0.826 * * * * [regimes]: Trying to branch on x from (# # # # # #) 0.870 * * * [regime]: Found split indices: #