14.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.008 * * * [progress]: [2/2] Setting up program. 0.009 * [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)) 0.013 * * [progress]: iteration 1 / 4 0.013 * * * [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) 0.022 * * * [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 0.023 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.023 * [taylor]: Taking taylor expansion of x in x 0.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.023 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.023 * [taylor]: Taking taylor expansion of x in x 0.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.025 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.025 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.025 * [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 0.039 * * * [progress]: simplifying candidates 0.040 * [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) 0.042 * * [simplify]: iteration 0 : 77 enodes (cost 55 ) 0.044 * * [simplify]: iteration 1 : 201 enodes (cost 50 ) 0.048 * * [simplify]: iteration 2 : 475 enodes (cost 50 ) 0.055 * * [simplify]: iteration 3 : 1282 enodes (cost 50 ) 0.078 * * [simplify]: iteration 4 : 3893 enodes (cost 50 ) 0.145 * * [simplify]: iteration 5 : 5002 enodes (cost 50 ) 0.146 * [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) 0.146 * * * [progress]: adding candidates to table 0.167 * * [progress]: iteration 2 / 4 0.167 * * * [progress]: picking best candidate 0.170 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.177 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.191 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.196 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.201 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.209 * [approximate]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in (x) around 0 0.210 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in x 0.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 0.3333333333333333) 2)))) in x 0.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 0.3333333333333333) 2))) in x 0.210 * [taylor]: Taking taylor expansion of 1/3 in x 0.210 * [taylor]: Taking taylor expansion of (log (pow (+ x 0.3333333333333333) 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 2) in x 0.210 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.212 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in x 0.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 0.3333333333333333) 2)))) in x 0.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 0.3333333333333333) 2))) in x 0.212 * [taylor]: Taking taylor expansion of 1/3 in x 0.212 * [taylor]: Taking taylor expansion of (log (pow (+ x 0.3333333333333333) 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 2) in x 0.212 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.257 * [approximate]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)))) in x 0.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2))) in x 0.257 * [taylor]: Taking taylor expansion of 1/3 in x 0.257 * [taylor]: Taking taylor expansion of (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 2) in x 0.257 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)))) in x 0.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2))) in x 0.259 * [taylor]: Taking taylor expansion of 1/3 in x 0.259 * [taylor]: Taking taylor expansion of (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 2) in x 0.259 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.282 * [approximate]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2)))) in x 0.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2))) in x 0.283 * [taylor]: Taking taylor expansion of 1/3 in x 0.283 * [taylor]: Taking taylor expansion of (log (pow (- 0.3333333333333333 (/ 1 x)) 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 2) in x 0.283 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2)))) in x 0.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2))) in x 0.284 * [taylor]: Taking taylor expansion of 1/3 in x 0.284 * [taylor]: Taking taylor expansion of (log (pow (- 0.3333333333333333 (/ 1 x)) 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 2) in x 0.284 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.311 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.311 * [taylor]: Taking taylor expansion of 1/3 in x 0.311 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.311 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.318 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.318 * [taylor]: Taking taylor expansion of 1/3 in x 0.318 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.318 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.353 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of 1/3 in x 0.353 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.354 * [taylor]: Taking taylor expansion of 1/3 in x 0.354 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.373 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.373 * [taylor]: Taking taylor expansion of 1/3 in x 0.373 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.375 * [taylor]: Taking taylor expansion of 1/3 in x 0.375 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.405 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.406 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.406 * [taylor]: Taking taylor expansion of 1/3 in x 0.406 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.406 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.408 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.408 * [taylor]: Taking taylor expansion of 1/3 in x 0.408 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.408 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.442 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.442 * [taylor]: Taking taylor expansion of 1/3 in x 0.442 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.443 * [taylor]: Taking taylor expansion of 1/3 in x 0.443 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.443 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.462 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.462 * [taylor]: Taking taylor expansion of 1/3 in x 0.462 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.462 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.464 * [taylor]: Taking taylor expansion of 1/3 in x 0.464 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.495 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.495 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.495 * [taylor]: Taking taylor expansion of 1/3 in x 0.495 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.495 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.497 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.497 * [taylor]: Taking taylor expansion of 1/3 in x 0.497 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.497 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.531 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of 1/3 in x 0.531 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of 1/3 in x 0.532 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.551 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.551 * [taylor]: Taking taylor expansion of 1/3 in x 0.551 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.553 * [taylor]: Taking taylor expansion of 1/3 in x 0.553 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.553 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.582 * * * [progress]: simplifying candidates 0.584 * [simplify]: Simplifying using # : (+ 1/3 1/3) (+ 1 1) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (+ 1 1) (+ (log (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0))))) (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (* (* (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (* (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))) (cbrt (+ x (/ 1.0 3.0))))) (* (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- x (/ 1.0 3.0)))) (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ 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 1) (cbrt 1)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0)))))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* 1 1) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ 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 (sqrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* 2 1/3) (* 2 1) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt 1)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt 1)) (* (cbrt (+ x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (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))) 1) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (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)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ x (/ 1.0 3.0)))) (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (* (* (cbrt (+ x (/ 1.0 3.0))) (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)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (* (* (cbrt (+ x (/ 1.0 3.0))) (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)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt 1) (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (* (* (cbrt (+ x (/ 1.0 3.0))) (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)))) (- (+ (pow 0.1111111111111111 1/3) (+ (* 2.0 (* x (pow 0.1111111111111111 1/3))) (* 5.0 (* (pow x 2) (pow 0.1111111111111111 1/3))))) (* 0.07407407407407407 (* (pow x 2) (pow (/ 1 (pow 0.1111111111111111 5)) 1/3)))) (- (+ (* 0.2222222222222222 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.2222222222222222 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (pow 0.3333333333333333 1/3) (+ (* 1.0 (* x (pow 0.3333333333333333 1/3))) (* 0.5 (* (pow x 2) (pow 0.3333333333333333 1/3))))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 0.3333333333333333 5)) 1/3)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.1111111111111111 (/ 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(pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.012345679012345678 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 0.591 * * [simplify]: iteration 0 : 338 enodes (cost 995 ) 0.597 * * [simplify]: iteration 1 : 1139 enodes (cost 936 ) 0.622 * * [simplify]: iteration 2 : 4913 enodes (cost 841 ) 0.732 * * [simplify]: iteration 3 : 5001 enodes (cost 841 ) 0.737 * [simplify]: Simplified to: 2/3 2 (pow (cbrt (+ x (/ 1.0 3.0))) 6) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 4) 2 (* 2 (log (cbrt (+ x (/ 1.0 3.0))))) (* 2 (log (cbrt (+ x (/ 1.0 3.0))))) (pow (exp 1) (pow (sqrt (cbrt (+ x (/ 1.0 3.0)))) 4)) (pow (cbrt (+ x (/ 1.0 3.0))) 6) (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (pow (cbrt (+ x (/ 1.0 3.0))) 6) (fabs (cbrt (+ x (/ 1.0 3.0)))) 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3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) 1 (cbrt (+ x (/ 1.0 3.0))) 1 (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) 1 (cbrt (+ x (/ 1.0 3.0))) 1 (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (log (cbrt (+ x (/ 1.0 3.0)))) (exp (cbrt (+ x (/ 1.0 3.0)))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) 1 (cbrt (+ x (/ 1.0 3.0))) 1 (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (cbrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (cbrt (cbrt (+ x (/ 1.0 3.0)))) (cbrt (cbrt (+ x (/ 1.0 3.0))))) (cbrt (cbrt (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (+ (* (pow x 2) (- (* (pow 0.1111111111111111 1/3) 5.0) (* (pow (/ 1 (pow 0.1111111111111111 5)) 1/3) 0.07407407407407407))) (* (+ (* 2.0 x) 1) (pow 0.1111111111111111 1/3))) (- (+ (* 0.2222222222222222 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.2222222222222222 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 4)) 1/3))) (+ (* (pow x 2) (- (* (pow 0.3333333333333333 1/3) 0.5) (* (pow (/ 1 (pow 0.3333333333333333 5)) 1/3) 1/6))) (* (+ (* 1.0 x) 1) (pow 0.3333333333333333 1/3))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.1111111111111111 (/ 0.012345679012345678 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (+ (* (pow x 2) (- (* (pow 0.3333333333333333 1/3) 0.5) (* (pow (/ 1 (pow 0.3333333333333333 5)) 1/3) 1/6))) (* (+ (* 1.0 x) 1) (pow 0.3333333333333333 1/3))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.1111111111111111 (/ 0.012345679012345678 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (+ (* (pow x 2) (- (* (pow 0.3333333333333333 1/3) 0.5) (* (pow (/ 1 (pow 0.3333333333333333 5)) 1/3) 1/6))) (* (+ (* 1.0 x) 1) (pow 0.3333333333333333 1/3))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.012345679012345678 (pow (/ 1 (pow x 5)) 1/3))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.1111111111111111 (/ 0.012345679012345678 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) 0.738 * * * [progress]: adding candidates to table 0.940 * * [progress]: iteration 3 / 4 0.940 * * * [progress]: picking best candidate 0.941 * * * * [pick]: Picked # 0.941 * * * [progress]: localizing error 0.948 * * * [progress]: generating rewritten candidates 0.948 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.954 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.959 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.965 * * * [progress]: generating series expansions 0.965 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.966 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.966 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.966 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.969 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.969 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.975 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.975 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.975 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.975 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.982 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.983 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.983 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.983 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.985 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.986 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.991 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.999 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.999 * [approximate]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in (x) around 0 0.999 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.999 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.000 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.000 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.016 * [approximate]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 1.016 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.016 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.016 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.029 * [approximate]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in (x) around 0 1.029 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.029 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.030 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.044 * * * [progress]: simplifying candidates 1.044 * [simplify]: Simplifying using # : (exp 1) (exp (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0)))))) (exp (sqrt (log (+ x (/ 1.0 3.0))))) (exp 1) (exp (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (exp (log (cbrt (+ x (/ 1.0 3.0))))) (exp (log (sqrt (+ x (/ 1.0 3.0))))) (exp (log (sqrt (+ x (/ 1.0 3.0))))) (exp (log 1)) (exp (log (+ x (/ 1.0 3.0)))) (exp (log 1)) (exp (log (+ x (/ 1.0 3.0)))) (exp (log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (exp (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (exp (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (exp (log (- x (/ 1.0 3.0)))) (log (exp (log (+ x (/ 1.0 3.0))))) (exp (exp (log (+ x (/ 1.0 3.0))))) (* (cbrt (exp (log (+ x (/ 1.0 3.0))))) (cbrt (exp (log (+ x (/ 1.0 3.0)))))) (cbrt (exp (log (+ x (/ 1.0 3.0))))) (* (* (exp (log (+ x (/ 1.0 3.0)))) (exp (log (+ x (/ 1.0 3.0))))) (exp (log (+ x (/ 1.0 3.0))))) (sqrt (exp (log (+ x (/ 1.0 3.0))))) (sqrt (exp (log (+ 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)) (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (log (cbrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log 1) (log (+ x (/ 1.0 3.0))) (log 1) (log (+ x (/ 1.0 3.0))) (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (log (- x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (log (+ x (/ 1.0 3.0)))) (exp (log (+ x (/ 1.0 3.0)))) (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0)))) (* (* (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0)))) (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (* 3.0 x) (log 0.3333333333333333)) (* 1/2 (/ (pow x 2) (pow 0.3333333333333333 2)))) (- (* 0.3333333333333333 (/ 1 x)) (+ (* 0.05555555555555555 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 0.3333333333333333 (/ 1 x))) (+ (* 0.05555555555555555 (/ 1 (pow x 2))) (log (/ -1 x)))) 1.048 * * [simplify]: iteration 0 : 183 enodes (cost 260 ) 1.052 * * [simplify]: iteration 1 : 499 enodes (cost 238 ) 1.058 * * [simplify]: iteration 2 : 1548 enodes (cost 230 ) 1.084 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 1.086 * [simplify]: Simplified to: E (exp (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0)))))) (exp (sqrt (log (+ x (/ 1.0 3.0))))) E (pow (cbrt (+ x (/ 1.0 3.0))) 2) (cbrt (+ 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)) (+ (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)) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (cbrt (+ x (/ 1.0 3.0))) 2) (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 (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (cbrt (+ x (/ 1.0 3.0))) 2) (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)) (* 2 (log (cbrt (+ x (/ 1.0 3.0))))) (log (cbrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) 0 (log (+ x (/ 1.0 3.0))) 0 (log (+ x (/ 1.0 3.0))) (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (log (- x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (log (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0)))) (pow (log (+ x (/ 1.0 3.0))) 3) (sqrt (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (* 3.0 x) (log 0.3333333333333333)) (* 1/2 (/ (pow x 2) (pow 0.3333333333333333 2)))) (- (/ 0.3333333333333333 x) (- (/ (/ 0.05555555555555555 x) x) (log x))) (- (/ 0.3333333333333333 x) (- (/ (/ 0.05555555555555555 x) x) (log x))) 1.087 * * * [progress]: adding candidates to table 1.168 * * [progress]: iteration 4 / 4 1.168 * * * [progress]: picking best candidate 1.169 * * * * [pick]: Picked # 1.169 * * * [progress]: localizing error 1.179 * * * [progress]: generating rewritten candidates 1.179 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.191 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.201 * * * [progress]: generating series expansions 1.201 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.202 * [approximate]: Taking taylor expansion of (pow E (log (+ x 0.3333333333333333))) in (x) around 0 1.202 * [taylor]: Taking taylor expansion of (pow E (log (+ x 0.3333333333333333))) in x 1.202 * [taylor]: Taking taylor expansion of (exp (* (log (+ x 0.3333333333333333)) (log E))) in x 1.202 * [taylor]: Taking taylor expansion of (* (log (+ x 0.3333333333333333)) (log E)) in x 1.202 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.202 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.202 * [taylor]: Taking taylor expansion of (log E) in x 1.203 * [taylor]: Taking taylor expansion of E in x 1.204 * [taylor]: Taking taylor expansion of (pow E (log (+ x 0.3333333333333333))) in x 1.204 * [taylor]: Taking taylor expansion of (exp (* (log (+ x 0.3333333333333333)) (log E))) in x 1.204 * [taylor]: Taking taylor expansion of (* (log (+ x 0.3333333333333333)) (log E)) in x 1.204 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.204 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.204 * [taylor]: Taking taylor expansion of (log E) in x 1.204 * [taylor]: Taking taylor expansion of E in x 1.236 * [approximate]: Taking taylor expansion of (pow E (log (+ 0.3333333333333333 (/ 1 x)))) in (x) around 0 1.236 * [taylor]: Taking taylor expansion of (pow E (log (+ 0.3333333333333333 (/ 1 x)))) in x 1.236 * [taylor]: Taking taylor expansion of (exp (* (log (+ 0.3333333333333333 (/ 1 x))) (log E))) in x 1.236 * [taylor]: Taking taylor expansion of (* (log (+ 0.3333333333333333 (/ 1 x))) (log E)) in x 1.236 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.236 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.236 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (log E) in x 1.237 * [taylor]: Taking taylor expansion of E in x 1.237 * [taylor]: Taking taylor expansion of (pow E (log (+ 0.3333333333333333 (/ 1 x)))) in x 1.237 * [taylor]: Taking taylor expansion of (exp (* (log (+ 0.3333333333333333 (/ 1 x))) (log E))) in x 1.237 * [taylor]: Taking taylor expansion of (* (log (+ 0.3333333333333333 (/ 1 x))) (log E)) in x 1.237 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.237 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (log E) in x 1.238 * [taylor]: Taking taylor expansion of E in x 1.318 * [approximate]: Taking taylor expansion of (pow E (log (- 0.3333333333333333 (/ 1 x)))) in (x) around 0 1.318 * [taylor]: Taking taylor expansion of (pow E (log (- 0.3333333333333333 (/ 1 x)))) in x 1.318 * [taylor]: Taking taylor expansion of (exp (* (log (- 0.3333333333333333 (/ 1 x))) (log E))) in x 1.319 * [taylor]: Taking taylor expansion of (* (log (- 0.3333333333333333 (/ 1 x))) (log E)) in x 1.319 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.319 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (log E) in x 1.320 * [taylor]: Taking taylor expansion of E in x 1.321 * [taylor]: Taking taylor expansion of (pow E (log (- 0.3333333333333333 (/ 1 x)))) in x 1.321 * [taylor]: Taking taylor expansion of (exp (* (log (- 0.3333333333333333 (/ 1 x))) (log E))) in x 1.321 * [taylor]: Taking taylor expansion of (* (log (- 0.3333333333333333 (/ 1 x))) (log E)) in x 1.321 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.321 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.321 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (log E) in x 1.322 * [taylor]: Taking taylor expansion of E in x 1.413 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.414 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 1.414 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.414 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.416 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.422 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 1.422 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.436 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.436 * [approximate]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in (x) around 0 1.436 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.436 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.437 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 1.437 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.448 * [approximate]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.449 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.449 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 1.449 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.449 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.462 * [approximate]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in (x) around 0 1.462 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.462 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 1.463 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.463 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.476 * * * [progress]: simplifying candidates 1.477 * [simplify]: Simplifying using # : (* 1 (log (+ x (/ 1.0 3.0)))) (* (log E) (log (+ x (/ 1.0 3.0)))) (* (log E) (log (+ x (/ 1.0 3.0)))) (* 1 (log (+ x (/ 1.0 3.0)))) (pow E (log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (pow E (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (pow E (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (pow E (log (- x (/ 1.0 3.0)))) (pow E 1) (pow E (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0)))))) (pow E (sqrt (log (+ x (/ 1.0 3.0))))) (pow E 1) (pow E (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (pow E (log (cbrt (+ x (/ 1.0 3.0))))) (pow E (log (sqrt (+ x (/ 1.0 3.0))))) (pow E (log (sqrt (+ x (/ 1.0 3.0))))) (pow E (log 1)) (pow E (log (+ x (/ 1.0 3.0)))) (pow E (log 1)) (pow E (log (+ x (/ 1.0 3.0)))) (pow (* (cbrt E) (cbrt E)) (log (+ x (/ 1.0 3.0)))) (pow (cbrt E) (log (+ x (/ 1.0 3.0)))) (pow (sqrt E) (log (+ x (/ 1.0 3.0)))) (pow (sqrt E) (log (+ x (/ 1.0 3.0)))) (pow 1 (log (+ x (/ 1.0 3.0)))) (pow E (log (+ x (/ 1.0 3.0)))) (log (pow E (log (+ x (/ 1.0 3.0))))) (exp (pow E (log (+ x (/ 1.0 3.0))))) (* (cbrt (pow E (log (+ x (/ 1.0 3.0))))) (cbrt (pow E (log (+ x (/ 1.0 3.0)))))) (cbrt (pow E (log (+ x (/ 1.0 3.0))))) (* (* (pow E (log (+ x (/ 1.0 3.0)))) (pow E (log (+ x (/ 1.0 3.0))))) (pow E (log (+ x (/ 1.0 3.0))))) (sqrt (pow E (log (+ x (/ 1.0 3.0))))) (sqrt (pow E (log (+ x (/ 1.0 3.0))))) (pow E (/ (log (+ x (/ 1.0 3.0))) 2)) (pow E (/ (log (+ x (/ 1.0 3.0))) 2)) (* (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)) (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (log (cbrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log 1) (log (+ x (/ 1.0 3.0))) (log 1) (log (+ x (/ 1.0 3.0))) (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (log (- x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (log (+ x (/ 1.0 3.0)))) (exp (log (+ x (/ 1.0 3.0)))) (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0)))) (* (* (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0)))) (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (- (+ (* 1.5 (pow x 2)) (+ (* 1.0 x) 0.3333333333333333)) (* 0.16666666666666666 (/ (pow x 2) (pow 0.3333333333333333 2)))) (- (+ 0.3333333333333333 (pow (/ 1 x) -1)) (* 4.336808689942018e-19 (/ 1 (pow x 3)))) (- (+ (exp (- (log -1) (log (/ -1 x)))) (* 0.3333333333333333 (/ (exp (- (log -1) (log (/ -1 x)))) x))) (* 4.336808689942018e-19 (/ (exp (- (log -1) (log (/ -1 x)))) (pow x 4)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (* 3.0 x) (log 0.3333333333333333)) (* 1/2 (/ (pow x 2) (pow 0.3333333333333333 2)))) (- (* 0.3333333333333333 (/ 1 x)) (+ (* 0.05555555555555555 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 0.3333333333333333 (/ 1 x))) (+ (* 0.05555555555555555 (/ 1 (pow x 2))) (log (/ -1 x)))) 1.482 * * [simplify]: iteration 0 : 309 enodes (cost 384 ) 1.487 * * [simplify]: iteration 1 : 1063 enodes (cost 338 ) 1.507 * * [simplify]: iteration 2 : 4905 enodes (cost 322 ) 1.643 * * [simplify]: iteration 3 : 5001 enodes (cost 322 ) 1.646 * [simplify]: Simplified to: (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (pow E (log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (pow E (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (pow E (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (pow E (log (- x (/ 1.0 3.0)))) E (pow E (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0)))))) (pow E (sqrt (log (+ x (/ 1.0 3.0))))) E (pow E (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (pow E (log (cbrt (+ x (/ 1.0 3.0))))) (pow E (log (sqrt (+ x (/ 1.0 3.0))))) (pow E (log (sqrt (+ x (/ 1.0 3.0))))) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) (pow (* (cbrt E) (cbrt E)) (log (+ x (/ 1.0 3.0)))) (pow (cbrt E) (log (+ x (/ 1.0 3.0)))) (pow (sqrt E) (log (+ x (/ 1.0 3.0)))) (pow (sqrt E) (log (+ x (/ 1.0 3.0)))) 1 (+ 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 E (/ (log (+ x (/ 1.0 3.0))) 2)) (pow E (/ (log (+ x (/ 1.0 3.0))) 2)) (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)) (* 2 (log (cbrt (+ x (/ 1.0 3.0))))) (log (cbrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) 0 (log (+ x (/ 1.0 3.0))) 0 (log (+ x (/ 1.0 3.0))) (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (log (- x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (log (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0)))) (pow (log (+ x (/ 1.0 3.0))) 3) (sqrt (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (+ (* x (+ 1.0 (* x 1.5))) (- 0.3333333333333333 (* 0.16666666666666666 (/ (pow x 2) (pow 0.3333333333333333 2))))) (- (+ x 0.3333333333333333) (/ 4.336808689942018e-19 (pow x 3))) (+ (+ (* (neg 4.336808689942018e-19) (/ -1 (* (pow x 4) (/ -1 x)))) (* 0.3333333333333333 (/ (exp (- (log -1) (log (/ -1 x)))) x))) (neg (/ 1 (/ -1 x)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (* 3.0 x) (log 0.3333333333333333)) (* 1/2 (/ (pow x 2) (pow 0.3333333333333333 2)))) (+ (- (log x) (/ (/ 0.05555555555555555 x) x)) (/ 0.3333333333333333 x)) (+ (- (log x) (/ (/ 0.05555555555555555 x) x)) (/ 0.3333333333333333 x)) 1.646 * * * [progress]: adding candidates to table 1.758 * [progress]: [Phase 3 of 3] Extracting. 1.758 * * [regime]: Finding splitpoints for: (# # #) 1.758 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 1.758 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# # #) 1.769 * * * * [regimes]: Trying to branch on x from (# # #) 1.781 * * * [regime]: Found split indices: #