10.748 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.012 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.013 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.013 * [simplify]: Simplified to: (+ x (/ 1.0 3.0)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.014 * * * * [pick]: Picked # 0.014 * * * [progress]: localizing error 0.017 * * * [progress]: generating rewritten candidates 0.017 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.023 * * * [progress]: generating series expansions 0.023 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.023 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.024 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.024 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.026 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.026 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.026 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.026 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.032 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.043 * * * [progress]: simplifying candidates 0.044 * [simplify]: Simplifying using # : (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.046 * * [simplify]: iteration 0 : 77 enodes (cost 55 ) 0.048 * * [simplify]: iteration 1 : 201 enodes (cost 50 ) 0.051 * * [simplify]: iteration 2 : 475 enodes (cost 50 ) 0.058 * * [simplify]: iteration 3 : 1282 enodes (cost 50 ) 0.083 * * [simplify]: iteration 4 : 3893 enodes (cost 50 ) 0.152 * * [simplify]: iteration 5 : 5002 enodes (cost 50 ) 0.152 * [simplify]: Simplified to: (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.152 * * * [progress]: adding candidates to table 0.169 * * [progress]: iteration 2 / 4 0.169 * * * [progress]: picking best candidate 0.172 * * * * [pick]: Picked # 0.172 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.177 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.192 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.198 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.207 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.207 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.209 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.220 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.220 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.227 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.227 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.228 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.230 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.236 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.243 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.244 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.244 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.246 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.252 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.260 * * * [progress]: simplifying candidates 0.261 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ 1 1) (+ (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0))))) (log (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (exp (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0)))) (* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 1 1) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x (/ 1.0 3.0))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) 1) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.266 * * [simplify]: iteration 0 : 170 enodes (cost 460 ) 0.270 * * [simplify]: iteration 1 : 639 enodes (cost 415 ) 0.286 * * [simplify]: iteration 2 : 3748 enodes (cost 401 ) 0.422 * * [simplify]: iteration 3 : 5001 enodes (cost 388 ) 0.425 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ x (/ 1.0 3.0))) 4) (+ x (/ 1.0 3.0)) (pow (sqrt (+ x (/ 1.0 3.0))) 4) 2 (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 4) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (pow (sqrt (+ x (/ 1.0 3.0))) 4) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (* x x)) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 4) (cbrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 2 1 (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 5) (* (fabs (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (+ x (/ 1.0 3.0))) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (+ x (/ 1.0 3.0)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 4) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 4) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.426 * * * [progress]: adding candidates to table 0.525 * * [progress]: iteration 3 / 4 0.525 * * * [progress]: picking best candidate 0.527 * * * * [pick]: Picked # 0.527 * * * [progress]: localizing error 0.532 * * * [progress]: generating rewritten candidates 0.532 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.539 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.545 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.551 * * * [progress]: generating series expansions 0.551 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.551 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.551 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.554 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.567 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.568 * [approximate]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 0.568 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.568 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 0.568 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.575 * [approximate]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 0.575 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 0.576 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.577 * [approximate]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 0.577 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.577 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.579 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.579 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.581 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.582 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.587 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.599 * * * [progress]: simplifying candidates 0.600 * [simplify]: Simplifying using # : (log (exp x)) (log (exp (/ 1.0 3.0))) (log (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0)))))) (log (cbrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log 1) (log (exp (+ x (/ 1.0 3.0)))) (log (exp (+ x (/ 1.0 3.0)))) (log (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (log (exp (sqrt (+ x (/ 1.0 3.0))))) (log (exp 1)) (log (exp 1)) (log (log (exp (+ x (/ 1.0 3.0))))) (exp (log (exp (+ x (/ 1.0 3.0))))) (* (cbrt (log (exp (+ x (/ 1.0 3.0))))) (cbrt (log (exp (+ x (/ 1.0 3.0)))))) (cbrt (log (exp (+ x (/ 1.0 3.0))))) (* (* (log (exp (+ x (/ 1.0 3.0)))) (log (exp (+ x (/ 1.0 3.0))))) (log (exp (+ x (/ 1.0 3.0))))) (sqrt (log (exp (+ x (/ 1.0 3.0))))) (sqrt (log (exp (+ x (/ 1.0 3.0))))) (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (exp (sqrt (+ x (/ 1.0 3.0)))) (exp 1) (exp 1) (exp x) (exp (/ 1.0 3.0)) (log (exp (+ x (/ 1.0 3.0)))) (exp (exp (+ x (/ 1.0 3.0)))) (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0))))) (cbrt (exp (+ x (/ 1.0 3.0)))) (* (* (exp (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0)))) (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ (exp 0.3333333333333333) (+ (* (exp 0.3333333333333333) x) (* 1/2 (* (exp 0.3333333333333333) (pow x 2))))) (exp (+ x 0.3333333333333333)) (exp (+ x 0.3333333333333333)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.603 * * [simplify]: iteration 0 : 136 enodes (cost 194 ) 0.606 * * [simplify]: iteration 1 : 432 enodes (cost 172 ) 0.611 * * [simplify]: iteration 2 : 1093 enodes (cost 170 ) 0.627 * * [simplify]: iteration 3 : 3091 enodes (cost 170 ) 0.688 * * [simplify]: iteration 4 : 5001 enodes (cost 170 ) 0.689 * [simplify]: Simplified to: x (/ 1.0 3.0) (* 2 (log (cbrt (exp (+ x (/ 1.0 3.0)))))) (log (cbrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) 0 (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))) 1 1 (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (exp (sqrt (+ x (/ 1.0 3.0)))) E E (exp x) (exp (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (exp (exp (+ x (/ 1.0 3.0)))) (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0))))) (cbrt (exp (+ x (/ 1.0 3.0)))) (pow (exp (+ x (/ 1.0 3.0))) 3) (sqrt (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (- (/ 1.0 3.0) x)) (pow x 2)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (* (exp 0.3333333333333333) (+ (+ x 1) (* 1/2 (pow x 2)))) (exp (+ x 0.3333333333333333)) (exp (+ x 0.3333333333333333)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.689 * * * [progress]: adding candidates to table 0.753 * [progress]: [Phase 3 of 3] Extracting. 0.754 * * [regime]: Finding splitpoints for: (# # #) 0.754 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 0.754 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# # #) 0.764 * * * * [regimes]: Trying to branch on x from (# # #) 0.774 * * * [regime]: Found split indices: #