5.720 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (* (* 2.0 x) x)) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 6 ) 0.018 * * [simplify]: iteration 1 : 10 enodes (cost 6 ) 0.018 * [simplify]: Simplified to: (sqrt (* 2.0 (* x x))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 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 0.031 * [taylor]: Taking taylor expansion of x in x 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 0.031 * [taylor]: Taking taylor expansion of x in x 0.032 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 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 0.032 * [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 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.033 * [taylor]: Taking taylor expansion of 2.0 in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.033 * [taylor]: Taking taylor expansion of 2.0 in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * * * [progress]: simplifying candidates 0.035 * [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)) 0.141 * * [simplify]: iteration 0 : 4675 enodes (cost 80 ) 0.141 * * [simplify]: iteration 1 : 4675 enodes (cost 80 ) 0.142 * [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))) 0.142 * * * [progress]: adding candidates to table 0.172 * * [progress]: iteration 2 / 4 0.172 * * * [progress]: picking best candidate 0.181 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.190 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.190 * [taylor]: Taking taylor expansion of 2.0 in x 0.190 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.190 * [taylor]: Taking taylor expansion of 2.0 in x 0.192 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.192 * [taylor]: Taking taylor expansion of 2.0 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.192 * [taylor]: Taking taylor expansion of 2.0 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.193 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.193 * [taylor]: Taking taylor expansion of -1 in x 0.193 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.193 * [taylor]: Taking taylor expansion of 2.0 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.193 * [taylor]: Taking taylor expansion of -1 in x 0.193 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.193 * [taylor]: Taking taylor expansion of 2.0 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * * * [progress]: simplifying candidates 0.195 * [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) 0.235 * * [simplify]: iteration 0 : 4990 enodes (cost 133 ) 0.235 * * [simplify]: iteration 1 : 4990 enodes (cost 133 ) 0.236 * [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)) 0.236 * * * [progress]: adding candidates to table 0.280 * * [progress]: iteration 3 / 4 0.280 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.315 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.324 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.325 * [taylor]: Taking taylor expansion of 2.0 in x 0.325 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.325 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.327 * [taylor]: Taking taylor expansion of -1 in x 0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.327 * [taylor]: Taking taylor expansion of 2.0 in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.327 * [taylor]: Taking taylor expansion of -1 in x 0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.327 * [taylor]: Taking taylor expansion of 2.0 in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.329 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.329 * [approximate]: Taking taylor expansion of (* x (pow (pow (sqrt 2.0) 2) 1/3)) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (* x (pow (pow (sqrt 2.0) 2) 1/3)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in x 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in x 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in x 0.329 * [taylor]: Taking taylor expansion of 1/3 in x 0.329 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.329 * [taylor]: Taking taylor expansion of 2.0 in x 0.329 * [taylor]: Taking taylor expansion of (* x (pow (pow (sqrt 2.0) 2) 1/3)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in x 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in x 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in x 0.329 * [taylor]: Taking taylor expansion of 1/3 in x 0.329 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.329 * [taylor]: Taking taylor expansion of 2.0 in x 0.342 * [approximate]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3)) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in x 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in x 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in x 0.342 * [taylor]: Taking taylor expansion of 1/3 in x 0.343 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.343 * [taylor]: Taking taylor expansion of 2.0 in x 0.343 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in x 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in x 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in x 0.343 * [taylor]: Taking taylor expansion of 1/3 in x 0.343 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.343 * [taylor]: Taking taylor expansion of 2.0 in x 0.354 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3))) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in x 0.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in x 0.355 * [taylor]: Taking taylor expansion of 1/3 in x 0.355 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.355 * [taylor]: Taking taylor expansion of 2.0 in x 0.355 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3))) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2.0) 2) 1/3)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in x 0.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in x 0.355 * [taylor]: Taking taylor expansion of 1/3 in x 0.355 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.355 * [taylor]: Taking taylor expansion of 2.0 in x 0.365 * * * [progress]: simplifying candidates 0.366 * [simplify]: Simplifying using # : (* (* 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))) (+ (+ (log x) (+ (log (cbrt (sqrt 2.0))) (log (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)))) (+ (log (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (log (cbrt (sqrt 2.0)))) (log (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (exp (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (* (* (* (* x x) x) (* (sqrt 2.0) (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))))) (sqrt 2.0)) (* (* (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 2.0)) (* (cbrt (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (cbrt (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))) (cbrt (* (* 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 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (sqrt (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (sqrt (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 1))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt 1)) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (+ (log x) (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0))))) (+ (log x) (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (log (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (exp (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* (* x x) x) (* (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 (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (cbrt (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (sqrt x) (cbrt (sqrt 2.0))) (* (sqrt x) (cbrt (sqrt 2.0))) (* x (cbrt (sqrt 2.0))) (* (cbrt x) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt x) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (sqrt 2.0) x) (* (pow (pow (sqrt 2.0) 2) 1/3) x) (* (pow (pow (sqrt 2.0) 2) 1/3) x) (* (pow (pow (sqrt 2.0) 2) 1/3) x) 0.415 * * [simplify]: iteration 0 : 5049 enodes (cost 289 ) 0.417 * [simplify]: Simplified to: (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (log (* 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) (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 (* (cbrt 2.0) (cbrt (cbrt 2.0)))) (* x (* (cbrt 2.0) (cbrt (fabs (cbrt 2.0))))) (* x (* (cbrt 2.0) (cbrt (sqrt (sqrt 2.0))))) (* x (* (cbrt 2.0) (cbrt 1))) (* x (* (cbrt 2.0) (cbrt (sqrt (sqrt 2.0))))) (* x (* (cbrt 2.0) (cbrt 1))) (* x (* (cbrt 2.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))) (* x (* (cbrt 2.0) (sqrt (cbrt (sqrt 2.0))))) (* x (cbrt 2.0)) (sqrt 2.0) (* x (cbrt 2.0)) (* x (cbrt 2.0)) (log (* x (cbrt 2.0))) (log (* x (cbrt 2.0))) (log (* x (cbrt 2.0))) (pow (exp x) (cbrt 2.0)) (* 2.0 (pow x 3)) (* 2.0 (pow x 3)) (* (cbrt (* x (cbrt 2.0))) (cbrt (* x (cbrt 2.0)))) (cbrt (* x (cbrt 2.0))) (* 2.0 (pow x 3)) (sqrt (* x (cbrt 2.0))) (sqrt (* x (cbrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt x)) (* (cbrt (sqrt 2.0)) (sqrt x)) (* x (cbrt (sqrt 2.0))) (* (cbrt 2.0) (cbrt x)) (* (cbrt 2.0) (sqrt x)) (* x (cbrt 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* x (cbrt 2.0)) (* x (cbrt 2.0)) (* x (cbrt 2.0)) 0.417 * * * [progress]: adding candidates to table 0.521 * * [progress]: iteration 4 / 4 0.521 * * * [progress]: picking best candidate 0.539 * * * * [pick]: Picked # 0.539 * * * [progress]: localizing error 0.545 * * * [progress]: generating rewritten candidates 0.545 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.554 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.561 * * * [progress]: generating series expansions 0.561 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.562 * [approximate]: Taking taylor expansion of (* x (sqrt 2.0)) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.562 * [taylor]: Taking taylor expansion of 2.0 in x 0.562 * [taylor]: Taking taylor expansion of (* x (sqrt 2.0)) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.562 * [taylor]: Taking taylor expansion of 2.0 in x 0.563 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) x) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.563 * [taylor]: Taking taylor expansion of 2.0 in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.563 * [taylor]: Taking taylor expansion of 2.0 in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.564 * [taylor]: Taking taylor expansion of 2.0 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2.0) x)) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) x) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.564 * [taylor]: Taking taylor expansion of 2.0 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.566 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.566 * [approximate]: Taking taylor expansion of (* x (sqrt (sqrt 2.0))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (* x (sqrt (sqrt 2.0))) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.566 * [taylor]: Taking taylor expansion of 2.0 in x 0.566 * [taylor]: Taking taylor expansion of (* x (sqrt (sqrt 2.0))) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.566 * [taylor]: Taking taylor expansion of 2.0 in x 0.568 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.568 * [taylor]: Taking taylor expansion of 2.0 in x 0.568 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.568 * [taylor]: Taking taylor expansion of 2.0 in x 0.570 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2.0)))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2.0)))) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.570 * [taylor]: Taking taylor expansion of 2.0 in x 0.570 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2.0)))) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2.0))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.570 * [taylor]: Taking taylor expansion of 2.0 in x 0.572 * * * [progress]: simplifying candidates 0.573 * [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) 0.622 * * [simplify]: iteration 0 : 5078 enodes (cost 343 ) 0.624 * [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))) 0.624 * * * [progress]: adding candidates to table 0.745 * [progress]: [Phase 3 of 3] Extracting. 0.745 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.745 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 x) x) (sqrt (* (* 2.0 x) x)) x) 0.745 * * * * [regimes]: Trying to branch on (* (* 2.0 x) x) from (# # # # # # #) 0.795 * * * * [regimes]: Trying to branch on (sqrt (* (* 2.0 x) x)) from (# # # # # # #) 0.849 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 0.897 * * * [regime]: Found split indices: #