12.678 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* x x))) 0.022 * * [simplify]: iteration 0 : 12 enodes (cost 6 ) 0.022 * * [simplify]: iteration 1 : 12 enodes (cost 6 ) 0.022 * [simplify]: Simplified to: (sqrt (* x (+ x x))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (* x (sqrt 2)) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.037 * [taylor]: Taking taylor expansion of 2 in x 0.037 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.037 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.039 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.039 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.039 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.039 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.039 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.040 * [taylor]: Taking taylor expansion of 2 in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.040 * [taylor]: Taking taylor expansion of 2 in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * * * [progress]: simplifying candidates 0.042 * [simplify]: Simplifying using # : (log (sqrt (* x (+ x x)))) (exp (sqrt (* x (+ x x)))) (* (cbrt (sqrt (* x (+ x x)))) (cbrt (sqrt (* x (+ x x))))) (cbrt (sqrt (* x (+ x x)))) (* (* (sqrt (* x (+ x x))) (sqrt (* x (+ x x)))) (sqrt (* x (+ x x)))) (sqrt x) (sqrt (+ x x)) (sqrt (* x (+ (pow x 3) (pow x 3)))) (sqrt (+ (* x x) (- (* x x) (* x x)))) (sqrt (* x (- (* x x) (* x x)))) (sqrt (- x x)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (+ x x)))) (sqrt (sqrt (* x (+ x x)))) (* x (sqrt 2)) (* x (sqrt 2)) (* -1 (* x (sqrt 2))) 0.091 * * [simplify]: iteration 0 : 4818 enodes (cost 91 ) 0.091 * * [simplify]: iteration 1 : 4818 enodes (cost 91 ) 0.092 * [simplify]: Simplified to: (log (sqrt (* x (+ x x)))) (exp (sqrt (* x (+ x x)))) (* (cbrt (sqrt (* x (+ x x)))) (cbrt (sqrt (* x (+ x x))))) (cbrt (sqrt (* x (+ x x)))) (pow (sqrt (* x (+ x x))) 3) (sqrt x) (sqrt (+ x x)) (sqrt (* 2 (pow x 4))) (fabs x) (sqrt 0) (sqrt 0) 1/2 1/2 (sqrt (sqrt (* x (+ x x)))) (sqrt (sqrt (* x (+ x x)))) (* x (sqrt 2)) (* x (sqrt 2)) (* x (neg (sqrt 2))) 0.092 * * * [progress]: adding candidates to table 0.118 * * [progress]: iteration 2 / 4 0.118 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.138 * [approximate]: Taking taylor expansion of (* x (sqrt 2)) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.138 * [taylor]: Taking taylor expansion of 2 in x 0.138 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.138 * [taylor]: Taking taylor expansion of 2 in x 0.139 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.139 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.139 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.139 * [taylor]: Taking taylor expansion of 2 in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.139 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.139 * [taylor]: Taking taylor expansion of 2 in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.140 * [taylor]: Taking taylor expansion of -1 in x 0.140 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.140 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.140 * [taylor]: Taking taylor expansion of 2 in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.140 * [taylor]: Taking taylor expansion of -1 in x 0.140 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.140 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.140 * [taylor]: Taking taylor expansion of 2 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * * * [progress]: simplifying candidates 0.142 * [simplify]: Simplifying using # : (* x (sqrt 2)) (+ (log x) (log (sqrt 2))) (log (* x (sqrt 2))) (exp (* x (sqrt 2))) (* (* (* x x) x) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (cbrt (* x (sqrt 2))) (cbrt (* x (sqrt 2)))) (cbrt (* x (sqrt 2))) (* (* (* x (sqrt 2)) (* x (sqrt 2))) (* x (sqrt 2))) (sqrt (* x (sqrt 2))) (sqrt (* x (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (sqrt (* (cbrt 2) (cbrt 2)))) (* x (sqrt (sqrt 2))) (* x (sqrt 1)) (* x (sqrt (sqrt 2))) (* x 1) (* (cbrt x) (sqrt 2)) (* (sqrt x) (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) 0.169 * * [simplify]: iteration 0 : 4888 enodes (cost 133 ) 0.169 * * [simplify]: iteration 1 : 4888 enodes (cost 133 ) 0.170 * [simplify]: Simplified to: (* x (sqrt 2)) (log (* x (sqrt 2))) (log (* x (sqrt 2))) (pow (exp x) (sqrt 2)) (pow (* x (sqrt 2)) 3) (* (cbrt (* x (sqrt 2))) (cbrt (* x (sqrt 2)))) (cbrt (* x (sqrt 2))) (pow (* x (sqrt 2)) 3) (sqrt (* x (sqrt 2))) (sqrt (* x (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (fabs (cbrt 2))) (* x (sqrt (sqrt 2))) x (* x (sqrt (sqrt 2))) x (* (sqrt 2) (cbrt x)) (* (sqrt 2) (sqrt x)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) 0.170 * * * [progress]: adding candidates to table 0.210 * * [progress]: iteration 3 / 4 0.210 * * * [progress]: picking best candidate 0.227 * * * * [pick]: Picked # 0.227 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.234 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.255 * * * [progress]: generating series expansions 0.255 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.255 * [approximate]: Taking taylor expansion of (* x (sqrt 2)) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.255 * [taylor]: Taking taylor expansion of 2 in x 0.255 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.255 * [taylor]: Taking taylor expansion of 2 in x 0.256 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.256 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.256 * [taylor]: Taking taylor expansion of 2 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.256 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.256 * [taylor]: Taking taylor expansion of 2 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.258 * [taylor]: Taking taylor expansion of -1 in x 0.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.258 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.258 * [taylor]: Taking taylor expansion of 2 in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.258 * [taylor]: Taking taylor expansion of -1 in x 0.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.258 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.258 * [taylor]: Taking taylor expansion of 2 in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.259 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.259 * [approximate]: Taking taylor expansion of (* x (pow (pow (sqrt 2) 2) 1/3)) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (* x (pow (pow (sqrt 2) 2) 1/3)) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2) 2) 1/3) in x 0.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2) 2)))) in x 0.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2) 2))) in x 0.259 * [taylor]: Taking taylor expansion of 1/3 in x 0.259 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2) 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 0.259 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.259 * [taylor]: Taking taylor expansion of 2 in x 0.260 * [taylor]: Taking taylor expansion of (* x (pow (pow (sqrt 2) 2) 1/3)) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2) 2) 1/3) in x 0.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2) 2)))) in x 0.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2) 2))) in x 0.260 * [taylor]: Taking taylor expansion of 1/3 in x 0.260 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2) 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 0.260 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.260 * [taylor]: Taking taylor expansion of 2 in x 0.274 * [approximate]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3)) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2) 2) 1/3) in x 0.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2) 2)))) in x 0.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2) 2))) in x 0.274 * [taylor]: Taking taylor expansion of 1/3 in x 0.274 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2) 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.274 * [taylor]: Taking taylor expansion of 2 in x 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2) 2) 1/3) in x 0.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2) 2)))) in x 0.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2) 2))) in x 0.274 * [taylor]: Taking taylor expansion of 1/3 in x 0.274 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2) 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.274 * [taylor]: Taking taylor expansion of 2 in x 0.284 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3))) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3))) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2) 2) 1/3) in x 0.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2) 2)))) in x 0.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2) 2))) in x 0.284 * [taylor]: Taking taylor expansion of 1/3 in x 0.284 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2) 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 0.284 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.284 * [taylor]: Taking taylor expansion of 2 in x 0.284 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3))) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (sqrt 2) 2) 1/3)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2) 2) 1/3) in x 0.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2) 2)))) in x 0.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2) 2))) in x 0.284 * [taylor]: Taking taylor expansion of 1/3 in x 0.284 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2) 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 0.284 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.284 * [taylor]: Taking taylor expansion of 2 in x 0.294 * * * [progress]: simplifying candidates 0.295 * [simplify]: Simplifying using # : (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (+ (+ (log x) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) (+ (+ (log x) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) (+ (log (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) (log (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (exp (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (* (* (* x x) x) (* (sqrt 2) (sqrt 2))) (sqrt 2)) (* (* (* (* x x) x) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2)) (* (* (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2)) (* (cbrt (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (* (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (sqrt (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (sqrt (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 1))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt 1)) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (log x) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log x) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (exp (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* (* x x) x) (* (sqrt 2) (sqrt 2))) (* (* (* x x) x) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (sqrt x) (cbrt (sqrt 2))) (* (sqrt x) (cbrt (sqrt 2))) (* x (cbrt (sqrt 2))) (* (cbrt x) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (sqrt x) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (pow (pow (sqrt 2) 2) 1/3)) (* x (pow (pow (sqrt 2) 2) 1/3)) (* x (pow (pow (sqrt 2) 2) 1/3)) 0.341 * * [simplify]: iteration 0 : 5150 enodes (cost 361 ) 0.343 * [simplify]: Simplified to: (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (log (* x (sqrt 2))) (log (* x (sqrt 2))) (log (* x (sqrt 2))) (log (* x (sqrt 2))) (pow (exp x) (sqrt 2)) (pow (* x (sqrt 2)) 3) (pow (* x (sqrt 2)) 3) (pow (* x (sqrt 2)) 3) (* (cbrt (* x (sqrt 2))) (cbrt (* x (sqrt 2)))) (cbrt (* x (sqrt 2))) (pow (* x (sqrt 2)) 3) (sqrt (* x (sqrt 2))) (sqrt (* x (sqrt 2))) (* x (* (pow (cbrt (sqrt 2)) 2) (cbrt (pow (cbrt (sqrt 2)) 2)))) (* x (* (pow (cbrt (sqrt 2)) 2) (cbrt (fabs (cbrt 2))))) (* x (* (pow (cbrt (sqrt 2)) 2) (cbrt (sqrt (sqrt 2))))) (* x (* (pow (cbrt (sqrt 2)) 2) (cbrt 1))) (* x (* (pow (cbrt (sqrt 2)) 2) (cbrt (sqrt (sqrt 2))))) (* x (* (pow (cbrt (sqrt 2)) 2) (cbrt 1))) (* x (* (pow (cbrt (sqrt 2)) 2) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* x (* (pow (cbrt (sqrt 2)) 2) (sqrt (cbrt (sqrt 2))))) (* x (pow (cbrt (sqrt 2)) 2)) (sqrt 2) (* x (pow (cbrt (sqrt 2)) 2)) (* x (pow (cbrt (sqrt 2)) 2)) (log (* x (pow (cbrt (sqrt 2)) 2))) (log (* x (pow (cbrt (sqrt 2)) 2))) (log (* x (pow (cbrt (sqrt 2)) 2))) (pow (exp x) (pow (cbrt (sqrt 2)) 2)) (* 2 (pow x 3)) (* 2 (pow x 3)) (* (cbrt (* x (pow (cbrt (sqrt 2)) 2))) (cbrt (* x (pow (cbrt (sqrt 2)) 2)))) (cbrt (* x (pow (cbrt (sqrt 2)) 2))) (* 2 (pow x 3)) (sqrt (* x (pow (cbrt (sqrt 2)) 2))) (sqrt (* x (pow (cbrt (sqrt 2)) 2))) (* (cbrt (sqrt 2)) (sqrt x)) (* (cbrt (sqrt 2)) (sqrt x)) (* x (cbrt (sqrt 2))) (* (pow (cbrt (sqrt 2)) 2) (cbrt x)) (* (pow (cbrt (sqrt 2)) 2) (sqrt x)) (* x (pow (cbrt (sqrt 2)) 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (cbrt 2)) (* x (cbrt 2)) (* x (cbrt 2)) 0.343 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 4 / 4 0.458 * * * [progress]: picking best candidate 0.474 * * * * [pick]: Picked # 0.474 * * * [progress]: localizing error 0.482 * * * [progress]: generating rewritten candidates 0.482 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.492 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.499 * * * [progress]: generating series expansions 0.500 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.500 * [approximate]: Taking taylor expansion of (* x (sqrt 2)) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.500 * [taylor]: Taking taylor expansion of 2 in x 0.500 * [taylor]: Taking taylor expansion of (* x (sqrt 2)) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.500 * [taylor]: Taking taylor expansion of 2 in x 0.501 * [approximate]: Taking taylor expansion of (/ (sqrt 2) x) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.501 * [taylor]: Taking taylor expansion of 2 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.501 * [taylor]: Taking taylor expansion of 2 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.503 * [taylor]: Taking taylor expansion of 2 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) x)) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of (/ (sqrt 2) x) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.503 * [taylor]: Taking taylor expansion of 2 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.504 * [approximate]: Taking taylor expansion of (* x (sqrt (sqrt 2))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (* x (sqrt (sqrt 2))) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2)) in x 0.504 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.504 * [taylor]: Taking taylor expansion of 2 in x 0.504 * [taylor]: Taking taylor expansion of (* x (sqrt (sqrt 2))) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2)) in x 0.504 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.504 * [taylor]: Taking taylor expansion of 2 in x 0.506 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2)) in x 0.506 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.506 * [taylor]: Taking taylor expansion of 2 in x 0.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2)) in x 0.506 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.506 * [taylor]: Taking taylor expansion of 2 in x 0.508 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2)))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2)))) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2)) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.508 * [taylor]: Taking taylor expansion of 2 in x 0.508 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (sqrt 2)))) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (sqrt 2))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2)) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt 2) in x 0.508 * [taylor]: Taking taylor expansion of 2 in x 0.511 * * * [progress]: simplifying candidates 0.511 * [simplify]: Simplifying using # : (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (+ (log x) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) (+ (log (* x (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) (log (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (exp (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (* (* x x) x) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (* (* x (sqrt (sqrt 2))) (* x (sqrt (sqrt 2)))) (* x (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (cbrt (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (cbrt (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (cbrt (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (sqrt (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (sqrt (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* x (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (* x (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (* (* x (sqrt (sqrt 2))) (sqrt 1)) (* (* x (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (* (* x (sqrt (sqrt 2))) 1) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (* x (sqrt (sqrt 2))) (+ (log x) (log (sqrt (sqrt 2)))) (log (* x (sqrt (sqrt 2)))) (exp (* x (sqrt (sqrt 2)))) (* (* (* x x) x) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (cbrt (* x (sqrt (sqrt 2)))) (cbrt (* x (sqrt (sqrt 2))))) (cbrt (* x (sqrt (sqrt 2)))) (* (* (* x (sqrt (sqrt 2))) (* x (sqrt (sqrt 2)))) (* x (sqrt (sqrt 2)))) (sqrt (* x (sqrt (sqrt 2)))) (sqrt (* x (sqrt (sqrt 2)))) (* (sqrt x) (sqrt (sqrt (sqrt 2)))) (* (sqrt x) (sqrt (sqrt (sqrt 2)))) (* (sqrt x) (sqrt (sqrt (sqrt 2)))) (* (sqrt x) (sqrt (sqrt (sqrt 2)))) (* (sqrt x) (sqrt (sqrt (sqrt 2)))) (* (sqrt x) (sqrt (sqrt (sqrt 2)))) (* x (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* x (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* x (sqrt (sqrt (* (cbrt 2) (cbrt 2))))) (* x (sqrt (sqrt (sqrt 2)))) (* x (sqrt (sqrt 1))) (* x (sqrt (sqrt (sqrt 2)))) (* x (sqrt 1)) (* x (sqrt (sqrt (sqrt 2)))) (* x 1) (* (cbrt x) (sqrt (sqrt 2))) (* (sqrt x) (sqrt (sqrt 2))) (* x (sqrt (sqrt 2))) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt (sqrt 2))) (* x (sqrt (sqrt 2))) (* x (sqrt (sqrt 2))) 0.566 * * [simplify]: iteration 0 : 5070 enodes (cost 343 ) 0.569 * [simplify]: Simplified to: (* x (sqrt 2)) (* x (sqrt 2)) (log (* x (sqrt 2))) (log (* x (sqrt 2))) (log (* x (sqrt 2))) (pow (exp x) (sqrt 2)) (pow (* x (sqrt 2)) 3) (pow (* x (sqrt 2)) 3) (* (cbrt (* x (sqrt 2))) (cbrt (* x (sqrt 2)))) (cbrt (* x (sqrt 2))) (pow (* x (sqrt 2)) 3) (sqrt (* x (sqrt 2))) (sqrt (* x (sqrt 2))) (* x (* (sqrt (sqrt 2)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* x (* (sqrt (sqrt 2)) (fabs (cbrt (sqrt 2))))) (* x (* (sqrt (sqrt 2)) (sqrt (fabs (cbrt 2))))) (* x (pow (sqrt (sqrt 2)) 3/2)) (* x (sqrt (sqrt 2))) (* x (pow (sqrt (sqrt 2)) 3/2)) (* x (sqrt (sqrt 2))) (* x (pow (sqrt (sqrt 2)) 3/2)) (* x (sqrt (sqrt 2))) (sqrt 2) (* x (sqrt (sqrt 2))) (log (* x (sqrt (sqrt 2)))) (log (* x (sqrt (sqrt 2)))) (pow (exp x) (sqrt (sqrt 2))) (pow (* x (sqrt (sqrt 2))) 3) (* (cbrt (* x (sqrt (sqrt 2)))) (cbrt (* x (sqrt (sqrt 2))))) (cbrt (* x (sqrt (sqrt 2)))) (pow (* x (sqrt (sqrt 2))) 3) (sqrt (* x (sqrt (sqrt 2)))) (sqrt (* x (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt x)) (* (sqrt (sqrt (sqrt 2))) (sqrt x)) (* (sqrt (sqrt (sqrt 2))) (sqrt x)) (* (sqrt (sqrt (sqrt 2))) (sqrt x)) (* (sqrt (sqrt (sqrt 2))) (sqrt x)) (* (sqrt (sqrt (sqrt 2))) (sqrt x)) (* x (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* x (fabs (cbrt (sqrt 2)))) (* x (sqrt (fabs (cbrt 2)))) (* x (sqrt (sqrt (sqrt 2)))) x (* x (sqrt (sqrt (sqrt 2)))) x (* x (sqrt (sqrt (sqrt 2)))) x (* (sqrt (sqrt 2)) (cbrt x)) (* (sqrt (sqrt 2)) (sqrt x)) (* x (sqrt (sqrt 2))) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt 2)) (* x (sqrt (sqrt 2))) (* x (sqrt (sqrt 2))) (* x (sqrt (sqrt 2))) 0.569 * * * [progress]: adding candidates to table 0.686 * [progress]: [Phase 3 of 3] Extracting. 0.686 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.686 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.686 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 0.733 * * * [regime]: Found split indices: #