16.865 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.022 * [simplify]: Simplified to: (+ x (/ 1.0 3.0)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.045 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.048 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.059 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.072 * * * [progress]: simplifying candidates 0.072 * [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) 0.077 * * [simplify]: iteration 0 : 77 enodes (cost 55 ) 0.080 * * [simplify]: iteration 1 : 201 enodes (cost 50 ) 0.085 * * [simplify]: iteration 2 : 475 enodes (cost 50 ) 0.096 * * [simplify]: iteration 3 : 1282 enodes (cost 50 ) 0.122 * * [simplify]: iteration 4 : 3893 enodes (cost 50 ) 0.188 * * [simplify]: iteration 5 : 5002 enodes (cost 50 ) 0.188 * [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) 0.189 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.252 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.253 * [approximate]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in x 0.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 0.3333333333333333) 2)))) in x 0.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 0.3333333333333333) 2))) in x 0.253 * [taylor]: Taking taylor expansion of 1/3 in x 0.253 * [taylor]: Taking taylor expansion of (log (pow (+ x 0.3333333333333333) 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 2) in x 0.253 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.255 * [taylor]: Taking taylor expansion of (pow (pow (+ x 0.3333333333333333) 2) 1/3) in x 0.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 0.3333333333333333) 2)))) in x 0.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 0.3333333333333333) 2))) in x 0.255 * [taylor]: Taking taylor expansion of 1/3 in x 0.255 * [taylor]: Taking taylor expansion of (log (pow (+ x 0.3333333333333333) 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 2) in x 0.255 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.294 * [approximate]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)))) in x 0.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2))) in x 0.295 * [taylor]: Taking taylor expansion of 1/3 in x 0.295 * [taylor]: Taking taylor expansion of (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 2) in x 0.295 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (pow (pow (+ 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)))) in x 0.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 0.3333333333333333 (/ 1 x)) 2))) in x 0.296 * [taylor]: Taking taylor expansion of 1/3 in x 0.296 * [taylor]: Taking taylor expansion of (log (pow (+ 0.3333333333333333 (/ 1 x)) 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 2) in x 0.296 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.322 * [approximate]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2))) in x 0.322 * [taylor]: Taking taylor expansion of 1/3 in x 0.323 * [taylor]: Taking taylor expansion of (log (pow (- 0.3333333333333333 (/ 1 x)) 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 2) in x 0.323 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (pow (pow (- 0.3333333333333333 (/ 1 x)) 2) 1/3) in x 0.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2)))) in x 0.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 0.3333333333333333 (/ 1 x)) 2))) in x 0.324 * [taylor]: Taking taylor expansion of 1/3 in x 0.324 * [taylor]: Taking taylor expansion of (log (pow (- 0.3333333333333333 (/ 1 x)) 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 2) in x 0.324 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.349 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.350 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.350 * [taylor]: Taking taylor expansion of 1/3 in x 0.350 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.350 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.352 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.352 * [taylor]: Taking taylor expansion of 1/3 in x 0.352 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.352 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.386 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of 1/3 in x 0.387 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.388 * [taylor]: Taking taylor expansion of 1/3 in x 0.388 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.406 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.406 * [taylor]: Taking taylor expansion of 1/3 in x 0.406 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.408 * [taylor]: Taking taylor expansion of 1/3 in x 0.408 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.431 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.431 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.431 * [taylor]: Taking taylor expansion of 1/3 in x 0.431 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.431 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.433 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.433 * [taylor]: Taking taylor expansion of 1/3 in x 0.433 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.433 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.468 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.468 * [taylor]: Taking taylor expansion of 1/3 in x 0.468 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.468 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.469 * [taylor]: Taking taylor expansion of 1/3 in x 0.469 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.487 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.487 * [taylor]: Taking taylor expansion of 1/3 in x 0.487 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of 1/3 in x 0.489 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.489 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.489 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.512 * [approximate]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.512 * [taylor]: Taking taylor expansion of 1/3 in x 0.512 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.512 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.514 * [taylor]: Taking taylor expansion of (pow (+ x 0.3333333333333333) 1/3) in x 0.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 0.3333333333333333)))) in x 0.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 0.3333333333333333))) in x 0.514 * [taylor]: Taking taylor expansion of 1/3 in x 0.514 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.514 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.549 * [approximate]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.549 * [taylor]: Taking taylor expansion of 1/3 in x 0.549 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (pow (+ 0.3333333333333333 (/ 1 x)) 1/3) in x 0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 0.3333333333333333 (/ 1 x))))) in x 0.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 0.3333333333333333 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of 1/3 in x 0.550 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.568 * [approximate]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of 1/3 in x 0.568 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (pow (- 0.3333333333333333 (/ 1 x)) 1/3) in x 0.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 0.3333333333333333 (/ 1 x))))) in x 0.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 0.3333333333333333 (/ 1 x)))) in x 0.570 * [taylor]: Taking taylor expansion of 1/3 in x 0.570 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.593 * * * [progress]: simplifying candidates 0.595 * [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)))) 0.601 * * [simplify]: iteration 0 : 338 enodes (cost 995 ) 0.607 * * [simplify]: iteration 1 : 1139 enodes (cost 936 ) 0.631 * * [simplify]: iteration 2 : 4901 enodes (cost 841 ) 0.741 * * [simplify]: iteration 3 : 5001 enodes (cost 841 ) 0.746 * [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)))))) 0.747 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 3 / 4 0.938 * * * [progress]: picking best candidate 0.940 * * * * [pick]: Picked # 0.940 * * * [progress]: localizing error 0.946 * * * [progress]: generating rewritten candidates 0.946 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.953 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.958 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.968 * * * [progress]: generating series expansions 0.968 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.969 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.969 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.969 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.971 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.971 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.977 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.985 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.985 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.985 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.987 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.987 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.988 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.994 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.994 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.994 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.994 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 1.001 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.001 * [approximate]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 1.001 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.002 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 1.002 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.008 * [approximate]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 1.008 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 1.008 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [approximate]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 1.011 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 1.011 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.012 * * * [progress]: simplifying candidates 1.013 * [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 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 (* (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)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ 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)) 1.019 * * [simplify]: iteration 0 : 136 enodes (cost 194 ) 1.023 * * [simplify]: iteration 1 : 432 enodes (cost 172 ) 1.032 * * [simplify]: iteration 2 : 1093 enodes (cost 170 ) 1.053 * * [simplify]: iteration 3 : 3091 enodes (cost 170 ) 1.112 * * [simplify]: iteration 4 : 5001 enodes (cost 170 ) 1.113 * [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 (+ 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)) (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)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ 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)) 1.114 * * * [progress]: adding candidates to table 1.178 * [progress]: [Phase 3 of 3] Extracting. 1.178 * * [regime]: Finding splitpoints for: (# # #) 1.178 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 1.178 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# # #) 1.189 * * * * [regimes]: Trying to branch on x from (# # #) 1.203 * * * [regime]: Found split indices: #