6.539 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (* (* 2.0 x) x)) 0.015 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 10 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 10 enodes (cost 3 ) 0.017 * [simplify]: Simplified to: (sqrt (* (* 2.0 x) x)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.027 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.027 * [taylor]: Taking taylor expansion of 2.0 in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.027 * [taylor]: Taking taylor expansion of 2.0 in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.028 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.028 * [taylor]: Taking taylor expansion of 2.0 in x 0.028 * [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 * * * [progress]: simplifying candidates 0.031 * [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)) 0.033 * * [simplify]: iteration 0 : 33 enodes (cost 45 ) 0.034 * * [simplify]: iteration 1 : 60 enodes (cost 43 ) 0.036 * * [simplify]: iteration 2 : 86 enodes (cost 43 ) 0.037 * * [simplify]: iteration 3 : 100 enodes (cost 43 ) 0.039 * * [simplify]: iteration 4 : 119 enodes (cost 43 ) 0.041 * * [simplify]: iteration 5 : 173 enodes (cost 43 ) 0.046 * * [simplify]: iteration 6 : 600 enodes (cost 43 ) 0.062 * * [simplify]: iteration 7 : 1831 enodes (cost 43 ) 0.131 * * [simplify]: iteration 8 : 5001 enodes (cost 43 ) 0.132 * [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)) 0.132 * * * [progress]: adding candidates to table 0.157 * * [progress]: iteration 2 / 4 0.157 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.172 * * * [progress]: generating rewritten candidates 0.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.176 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.179 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.205 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.205 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.206 * [taylor]: Taking taylor expansion of 2.0 in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.206 * [taylor]: Taking taylor expansion of 2.0 in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.207 * [taylor]: Taking taylor expansion of 2.0 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.207 * [taylor]: Taking taylor expansion of 2.0 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.208 * [taylor]: Taking taylor expansion of 2.0 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.208 * [taylor]: Taking taylor expansion of 2.0 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.209 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.209 * [taylor]: Taking taylor expansion of 2.0 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.209 * [taylor]: Taking taylor expansion of 2.0 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.213 * [taylor]: Taking taylor expansion of 2.0 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.213 * [taylor]: Taking taylor expansion of 2.0 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.215 * [taylor]: Taking taylor expansion of 2.0 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.215 * [taylor]: Taking taylor expansion of 2.0 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.216 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.216 * [taylor]: Taking taylor expansion of 2.0 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.216 * [taylor]: Taking taylor expansion of 2.0 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.217 * [taylor]: Taking taylor expansion of 2.0 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.217 * [taylor]: Taking taylor expansion of 2.0 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.218 * [taylor]: Taking taylor expansion of 2.0 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.218 * [taylor]: Taking taylor expansion of 2.0 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.219 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) x)) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) x)) in x 0.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.220 * [taylor]: Taking taylor expansion of 2.0 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) x)) in x 0.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.220 * [taylor]: Taking taylor expansion of 2.0 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.222 * [approximate]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in (x) around 0 0.222 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.222 * [taylor]: Taking taylor expansion of 2.0 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.222 * [taylor]: Taking taylor expansion of 2.0 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.224 * [approximate]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.224 * [taylor]: Taking taylor expansion of 2.0 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.224 * [taylor]: Taking taylor expansion of 2.0 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * * * [progress]: simplifying candidates 0.227 * [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))) (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))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (* (* (* 2.0 x) x) (* (* 2.0 x) x)) (+ 1 1) (+ (log (sqrt (sqrt (* (* 2.0 x) x)))) (log (sqrt (sqrt (* (* 2.0 x) x))))) (log (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (exp (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (* (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x))))) (* (cbrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (cbrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))))) (cbrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (* (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (* (* 2.0 x) x)) (sqrt (* (* 2.0 x) x))) (sqrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (sqrt (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))))) (* (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))))) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))) (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x)))))) (* (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (cbrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt (* 2.0 x)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* 1 1) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (* (* 2.0 x) x))) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x)))))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* 2.0 x)))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt 1)) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (sqrt (sqrt (* (* 2.0 x) x))) 1) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt x)) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (log (sqrt (sqrt (* (* 2.0 x) x)))) (exp (sqrt (sqrt (* (* 2.0 x) x)))) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (* (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (* (cbrt (sqrt (* (* 2.0 x) x))) (cbrt (sqrt (* (* 2.0 x) x))))) (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x)) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt 1) (sqrt (sqrt (* (* 2.0 x) x))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (+ (* (sqrt 2.0) (* NAN x)) (+ (* (pow (sqrt 2.0) 2) (* (pow NAN 3) (pow x 2))) (* (pow (sqrt 2.0) 3) (* (pow NAN 5) (pow x 3))))) (+ (/ (* (pow (sqrt 2.0) 3) (pow NAN 5)) (pow x 2)) (+ (/ (* (pow (sqrt 2.0) 2) (pow NAN 3)) x) (* (sqrt 2.0) NAN))) (- (+ (/ (* (pow (sqrt 2.0) 3) (pow NAN 5)) (pow x 2)) (* (sqrt 2.0) NAN)) (/ (* (pow (sqrt 2.0) 2) (pow NAN 3)) x)) 0.232 * * [simplify]: iteration 0 : 213 enodes (cost 559 ) 0.237 * * [simplify]: iteration 1 : 889 enodes (cost 517 ) 0.262 * * [simplify]: iteration 2 : 5001 enodes (cost 478 ) 0.265 * [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)) (pow x 1/2) 1/2 1/2 1/2 (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (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)) (pow x 1/2) 1/2 1/2 1/2 (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) 1 1 2 1/2 1/2 1/2 1/2 1 1 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 (* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) (* (pow x 4) (* 2.0 2.0)) (* (* 2.0 x) x) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) (* (pow x 4) (* 2.0 2.0)) 2 (log (sqrt (* (* 2.0 x) x))) (log (sqrt (* (* 2.0 x) x))) (exp (sqrt (* (* 2.0 x) x))) (pow (sqrt (* (* 2.0 x) x)) 3) (* (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) (* (* 2.0 x) x) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (pow (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) 4) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (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)) (pow x 1/2) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) 1 (sqrt (* (* 2.0 x) x)) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) 1 (sqrt (* (* 2.0 x) x)) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* (* 2.0 x) x))) 1 2 1/2 1 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 (* (pow (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) 4) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))) (* (fabs (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt (* (* 2.0 x) x))) (sqrt (sqrt (* 2.0 x)))) (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3) (sqrt (sqrt (* (* 2.0 x) x))) (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3) (sqrt (sqrt (* (* 2.0 x) x))) (pow (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) 4) (* (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt (sqrt x)) (sqrt (sqrt (* (* 2.0 x) x)))) (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3) (sqrt (* (* 2.0 x) x)) (pow (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 3) (sqrt (* (* 2.0 x) x)) (log (sqrt (sqrt (* (* 2.0 x) x)))) (exp (sqrt (sqrt (* (* 2.0 x) x)))) (* (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (cbrt (sqrt (sqrt (* (* 2.0 x) x))))) (cbrt (sqrt (sqrt (* (* 2.0 x) x)))) (pow (sqrt (sqrt (* (* 2.0 x) x))) 3) (fabs (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (cbrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (* 2.0 x))) (sqrt (sqrt x)) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) 1 (sqrt (sqrt (* (* 2.0 x) x))) 1/4 1/2 1/4 1/4 1/4 (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (sqrt (sqrt (sqrt (* (* 2.0 x) x)))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (+ (* (sqrt 2.0) (+ (* 2.0 (* (pow NAN 5) (pow x 3))) (* NAN x))) (* (* 2.0 (pow x 2)) (pow NAN 3))) (+ (/ (* (pow (sqrt 2.0) 3) (pow NAN 5)) (pow x 2)) (+ (/ (* (pow (sqrt 2.0) 2) (pow NAN 3)) x) (* (sqrt 2.0) NAN))) (- (* (sqrt 2.0) NAN) (- (/ (pow NAN 3) (/ x 2.0)) (/ (* (pow (sqrt 2.0) 3) (pow NAN 5)) (pow x 2)))) 0.266 * * * [progress]: adding candidates to table 0.393 * * [progress]: iteration 3 / 4 0.393 * * * [progress]: picking best candidate 0.408 * * * * [pick]: Picked # 0.408 * * * [progress]: localizing error 0.422 * * * [progress]: generating rewritten candidates 0.422 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.426 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 0.429 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 0.433 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.438 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.438 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.438 * [taylor]: Taking taylor expansion of 2.0 in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.438 * [taylor]: Taking taylor expansion of 2.0 in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.439 * [taylor]: Taking taylor expansion of 2.0 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.439 * [taylor]: Taking taylor expansion of 2.0 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.440 * [taylor]: Taking taylor expansion of 2.0 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.440 * [taylor]: Taking taylor expansion of 2.0 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 0.441 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.441 * [taylor]: Taking taylor expansion of 2.0 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.441 * [taylor]: Taking taylor expansion of 2.0 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.442 * [taylor]: Taking taylor expansion of 2.0 in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.443 * [taylor]: Taking taylor expansion of 2.0 in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.444 * [taylor]: Taking taylor expansion of 2.0 in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.444 * [taylor]: Taking taylor expansion of 2.0 in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 0.445 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.445 * [taylor]: Taking taylor expansion of 2.0 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.445 * [taylor]: Taking taylor expansion of 2.0 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.446 * [taylor]: Taking taylor expansion of 2.0 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.446 * [taylor]: Taking taylor expansion of 2.0 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.447 * [taylor]: Taking taylor expansion of 2.0 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.448 * [taylor]: Taking taylor expansion of 2.0 in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.449 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.449 * [taylor]: Taking taylor expansion of 2.0 in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.449 * [taylor]: Taking taylor expansion of 2.0 in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.450 * [taylor]: Taking taylor expansion of 2.0 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.450 * [taylor]: Taking taylor expansion of 2.0 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.451 * [taylor]: Taking taylor expansion of 2.0 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.451 * [taylor]: Taking taylor expansion of 2.0 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * * * [progress]: simplifying candidates 0.453 * [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))) (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))) (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))) (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)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) 0.455 * * [simplify]: iteration 0 : 33 enodes (cost 180 ) 0.456 * * [simplify]: iteration 1 : 60 enodes (cost 172 ) 0.458 * * [simplify]: iteration 2 : 86 enodes (cost 172 ) 0.459 * * [simplify]: iteration 3 : 100 enodes (cost 172 ) 0.461 * * [simplify]: iteration 4 : 119 enodes (cost 172 ) 0.463 * * [simplify]: iteration 5 : 173 enodes (cost 172 ) 0.469 * * [simplify]: iteration 6 : 600 enodes (cost 172 ) 0.484 * * [simplify]: iteration 7 : 1831 enodes (cost 172 ) 0.552 * * [simplify]: iteration 8 : 5001 enodes (cost 172 ) 0.553 * [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))) (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))) (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))) (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)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* -1 (* (sqrt 2.0) x)) 0.553 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 4 / 4 0.697 * * * [progress]: picking best candidate 0.708 * * * * [pick]: Picked # 0.708 * * * [progress]: localizing error 0.711 * * * [progress]: generating rewritten candidates 0.711 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.716 * * * [progress]: generating series expansions 0.716 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.716 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) x) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.716 * [taylor]: Taking taylor expansion of 2.0 in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) x) in x 0.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.716 * [taylor]: Taking taylor expansion of 2.0 in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.717 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.717 * [taylor]: Taking taylor expansion of 2.0 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.717 * [taylor]: Taking taylor expansion of 2.0 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.718 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.718 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.718 * [taylor]: Taking taylor expansion of -1 in x 0.718 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.718 * [taylor]: Taking taylor expansion of 2.0 in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.718 * [taylor]: Taking taylor expansion of -1 in x 0.718 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.718 * [taylor]: Taking taylor expansion of 2.0 in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.720 * * * [progress]: simplifying candidates 0.720 * [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) 0.722 * * [simplify]: iteration 0 : 64 enodes (cost 84 ) 0.724 * * [simplify]: iteration 1 : 224 enodes (cost 80 ) 0.728 * * [simplify]: iteration 2 : 521 enodes (cost 80 ) 0.733 * * [simplify]: iteration 3 : 809 enodes (cost 80 ) 0.744 * * [simplify]: iteration 4 : 1933 enodes (cost 80 ) 0.775 * * [simplify]: iteration 5 : 5001 enodes (cost 80 ) 0.776 * [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) 0.776 * * * [progress]: adding candidates to table 0.802 * [progress]: [Phase 3 of 3] Extracting. 0.802 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.803 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) x) 0.803 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (# # # # # # # #) 0.852 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (# #) 0.875 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (# # # # # # # #) 0.927 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (# #) 0.956 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.003 * * * [regime]: Found split indices: #