7.385 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (- x (/ 1.0 3.0)) 0.016 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (- x (/ 1.0 3.0)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.029 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.034 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.042 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.042 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.042 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.050 * * * [progress]: simplifying candidates 0.051 * [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)))) (- (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 0.054 * * [simplify]: iteration 0 : 81 enodes (cost 77 ) 0.056 * * [simplify]: iteration 1 : 178 enodes (cost 72 ) 0.059 * * [simplify]: iteration 2 : 428 enodes (cost 72 ) 0.065 * * [simplify]: iteration 3 : 1204 enodes (cost 72 ) 0.086 * * [simplify]: iteration 4 : 4291 enodes (cost 72 ) 0.155 * * [simplify]: iteration 5 : 5001 enodes (cost 72 ) 0.156 * [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)) (- (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 0.156 * * * [progress]: adding candidates to table 0.184 * * [progress]: iteration 2 / 4 0.184 * * * [progress]: picking best candidate 0.188 * * * * [pick]: Picked # 0.188 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.215 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.238 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.246 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.246 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.251 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.260 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.261 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.269 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.269 * [approximate]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in x 0.269 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.270 * [taylor]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in x 0.270 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.281 * [approximate]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.281 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.283 * [approximate]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) 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 (exp (- (+ 0.3333333333333333 (/ 1 x)))) in x 0.284 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) 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 0.285 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.285 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.285 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.290 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.299 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.299 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.299 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.310 * * * [progress]: simplifying candidates 0.311 * [simplify]: Simplifying using # : (log (exp x)) (log (exp (- (/ 1.0 3.0)))) (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)) (log (exp (/ 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 (+ (sqrt x) (sqrt (/ 1.0 3.0))))) (log (exp (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))))) (log (exp 1)) (log (log (exp (- x (/ 1.0 3.0))))) (exp (log (exp (- x (/ 1.0 3.0))))) (* (cbrt (log (exp (- x (/ 1.0 3.0))))) (cbrt (log (exp (- x (/ 1.0 3.0)))))) (cbrt (log (exp (- x (/ 1.0 3.0))))) (* (* (log (exp (- x (/ 1.0 3.0)))) (log (exp (- x (/ 1.0 3.0))))) (log (exp (- x (/ 1.0 3.0))))) (sqrt (log (exp (- x (/ 1.0 3.0))))) (sqrt (log (exp (- x (/ 1.0 3.0))))) (exp (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))) (exp (sqrt (- x (/ 1.0 3.0)))) (exp 1) (exp (+ (sqrt x) (sqrt (/ 1.0 3.0)))) (exp (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))) (exp 1) (exp x) (exp (- (/ 1.0 3.0))) (exp x) (exp (- (/ 1.0 3.0))) (exp x) (exp (/ 1.0 3.0)) (log (exp (- x (/ 1.0 3.0)))) (exp (exp (- x (/ 1.0 3.0)))) (* (cbrt (exp (- x (/ 1.0 3.0)))) (cbrt (exp (- x (/ 1.0 3.0))))) (cbrt (exp (- x (/ 1.0 3.0)))) (* (* (exp (- x (/ 1.0 3.0))) (exp (- x (/ 1.0 3.0)))) (exp (- x (/ 1.0 3.0)))) (sqrt (exp (- x (/ 1.0 3.0)))) (sqrt (exp (- x (/ 1.0 3.0)))) (/ (exp x) (exp (/ 1.0 3.0))) (log (- x (/ 1.0 3.0))) (exp (- x (/ 1.0 3.0))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) (+ (exp (- 0.3333333333333333)) (+ (* (exp (- 0.3333333333333333)) x) (* 1/2 (* (exp (- 0.3333333333333333)) (pow x 2))))) (exp (- x 0.3333333333333333)) (exp (- x 0.3333333333333333)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 0.316 * * [simplify]: iteration 0 : 154 enodes (cost 251 ) 0.319 * * [simplify]: iteration 1 : 411 enodes (cost 228 ) 0.326 * * [simplify]: iteration 2 : 1098 enodes (cost 225 ) 0.350 * * [simplify]: iteration 3 : 4428 enodes (cost 225 ) 0.445 * * [simplify]: iteration 4 : 5001 enodes (cost 225 ) 0.447 * [simplify]: Simplified to: x (- (/ 1.0 3.0)) 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) (- x (/ 1.0 3.0)) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (sqrt (- x (/ 1.0 3.0))) 1 (+ (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) 1 (log (- x (/ 1.0 3.0))) (exp (- x (/ 1.0 3.0))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (pow (- x (/ 1.0 3.0)) 3) (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (exp (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))) (exp (sqrt (- x (/ 1.0 3.0)))) E (exp (+ (sqrt x) (sqrt (/ 1.0 3.0)))) (exp (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))) E (exp x) (exp (- (/ 1.0 3.0))) (exp x) (exp (- (/ 1.0 3.0))) (exp x) (exp (/ 1.0 3.0)) (- x (/ 1.0 3.0)) (exp (exp (- x (/ 1.0 3.0)))) (* (cbrt (exp (- x (/ 1.0 3.0)))) (cbrt (exp (- x (/ 1.0 3.0))))) (cbrt (exp (- x (/ 1.0 3.0)))) (pow (exp (- x (/ 1.0 3.0))) 3) (sqrt (exp (- x (/ 1.0 3.0)))) (sqrt (exp (- x (/ 1.0 3.0)))) (exp (- x (/ 1.0 3.0))) (log (- x (/ 1.0 3.0))) (exp (- x (/ 1.0 3.0))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (pow (- x (/ 1.0 3.0)) 3) (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* (/ 1.0 3.0) (+ (/ 1.0 3.0) x)) (pow x 2)) (- (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) (* (exp (- 0.3333333333333333)) (+ (+ x 1) (* 1/2 (pow x 2)))) (exp (- x 0.3333333333333333)) (exp (- x 0.3333333333333333)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 0.447 * * * [progress]: adding candidates to table 0.552 * * [progress]: iteration 3 / 4 0.552 * * * [progress]: picking best candidate 0.554 * * * * [pick]: Picked # 0.554 * * * [progress]: localizing error 0.562 * * * [progress]: generating rewritten candidates 0.562 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.568 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.578 * * * [progress]: generating series expansions 0.579 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.580 * [approximate]: Taking taylor expansion of (log (/ (exp x) (exp 0.3333333333333333))) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (log (/ (exp x) (exp 0.3333333333333333))) in x 0.580 * [taylor]: Taking taylor expansion of (/ (exp x) (exp 0.3333333333333333)) in x 0.580 * [taylor]: Taking taylor expansion of (exp x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 0.580 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.582 * [taylor]: Taking taylor expansion of (log (/ (exp x) (exp 0.3333333333333333))) in x 0.582 * [taylor]: Taking taylor expansion of (/ (exp x) (exp 0.3333333333333333)) in x 0.582 * [taylor]: Taking taylor expansion of (exp x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 0.582 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.124 * [approximate]: Taking taylor expansion of (log (/ (exp (/ 1 x)) (exp 0.3333333333333333))) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (log (/ (exp (/ 1 x)) (exp 0.3333333333333333))) in x 1.124 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (exp 0.3333333333333333)) in x 1.124 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.125 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.126 * [taylor]: Taking taylor expansion of (log (/ (exp (/ 1 x)) (exp 0.3333333333333333))) in x 1.126 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (exp 0.3333333333333333)) in x 1.126 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.126 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.179 * [approximate]: Taking taylor expansion of (log (/ (exp (/ -1 x)) (exp 0.3333333333333333))) in (x) around 0 1.179 * [taylor]: Taking taylor expansion of (log (/ (exp (/ -1 x)) (exp 0.3333333333333333))) in x 1.179 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (exp 0.3333333333333333)) in x 1.179 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.179 * [taylor]: Taking taylor expansion of -1 in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.180 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.180 * [taylor]: Taking taylor expansion of (log (/ (exp (/ -1 x)) (exp 0.3333333333333333))) in x 1.180 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (exp 0.3333333333333333)) in x 1.180 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.180 * [taylor]: Taking taylor expansion of -1 in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.181 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.230 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.231 * [approximate]: Taking taylor expansion of (/ (exp x) (exp 0.3333333333333333)) in (x) around 0 1.231 * [taylor]: Taking taylor expansion of (/ (exp x) (exp 0.3333333333333333)) in x 1.231 * [taylor]: Taking taylor expansion of (exp x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.232 * [taylor]: Taking taylor expansion of (/ (exp x) (exp 0.3333333333333333)) in x 1.232 * [taylor]: Taking taylor expansion of (exp x) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.232 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.248 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (exp 0.3333333333333333)) in (x) around 0 1.248 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (exp 0.3333333333333333)) in x 1.248 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.248 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.249 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (exp 0.3333333333333333)) in x 1.249 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.249 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.273 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (exp 0.3333333333333333)) in (x) around 0 1.273 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (exp 0.3333333333333333)) in x 1.273 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.273 * [taylor]: Taking taylor expansion of -1 in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.273 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.274 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (exp 0.3333333333333333)) in x 1.274 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.274 * [taylor]: Taking taylor expansion of -1 in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (exp 0.3333333333333333) in x 1.274 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.297 * * * [progress]: simplifying candidates 1.298 * [simplify]: Simplifying using # : (log (* (cbrt (/ (exp x) (exp (/ 1.0 3.0)))) (cbrt (/ (exp x) (exp (/ 1.0 3.0)))))) (log (cbrt (/ (exp x) (exp (/ 1.0 3.0))))) (log (sqrt (/ (exp x) (exp (/ 1.0 3.0))))) (log (sqrt (/ (exp x) (exp (/ 1.0 3.0))))) (log (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0)))))) (log (/ (cbrt (exp x)) (cbrt (exp (/ 1.0 3.0))))) (log (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (exp (/ 1.0 3.0))))) (log (/ (cbrt (exp x)) (sqrt (exp (/ 1.0 3.0))))) (log (/ (* (cbrt (exp x)) (cbrt (exp x))) 1)) (log (/ (cbrt (exp x)) (exp (/ 1.0 3.0)))) (log (/ (sqrt (exp x)) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0)))))) (log (/ (sqrt (exp x)) (cbrt (exp (/ 1.0 3.0))))) (log (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0))))) (log (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0))))) (log (/ (sqrt (exp x)) 1)) (log (/ (sqrt (exp x)) (exp (/ 1.0 3.0)))) (log (/ 1 (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0)))))) (log (/ (exp x) (cbrt (exp (/ 1.0 3.0))))) (log (/ 1 (sqrt (exp (/ 1.0 3.0))))) (log (/ (exp x) (sqrt (exp (/ 1.0 3.0))))) (log (/ 1 1)) (log (/ (exp x) (exp (/ 1.0 3.0)))) (log 1) (log (/ (exp x) (exp (/ 1.0 3.0)))) (log (exp x)) (log (/ 1 (exp (/ 1.0 3.0)))) (log (exp x)) (log (exp (/ 1.0 3.0))) (log (exp 1)) (log (/ (exp x) (exp (/ 1.0 3.0)))) (log (log (/ (exp x) (exp (/ 1.0 3.0))))) (exp (log (/ (exp x) (exp (/ 1.0 3.0))))) (* (cbrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (cbrt (log (/ (exp x) (exp (/ 1.0 3.0)))))) (cbrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (* (* (log (/ (exp x) (exp (/ 1.0 3.0)))) (log (/ (exp x) (exp (/ 1.0 3.0))))) (log (/ (exp x) (exp (/ 1.0 3.0))))) (sqrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (sqrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)) (log (/ (exp x) (exp (/ 1.0 3.0)))) (exp (/ (exp x) (exp (/ 1.0 3.0)))) (/ (* (* (exp x) (exp x)) (exp x)) (* (* (exp (/ 1.0 3.0)) (exp (/ 1.0 3.0))) (exp (/ 1.0 3.0)))) (* (cbrt (/ (exp x) (exp (/ 1.0 3.0)))) (cbrt (/ (exp x) (exp (/ 1.0 3.0))))) (cbrt (/ (exp x) (exp (/ 1.0 3.0)))) (* (* (/ (exp x) (exp (/ 1.0 3.0))) (/ (exp x) (exp (/ 1.0 3.0)))) (/ (exp x) (exp (/ 1.0 3.0)))) (sqrt (/ (exp x) (exp (/ 1.0 3.0)))) (sqrt (/ (exp x) (exp (/ 1.0 3.0)))) (- (exp x)) (- (exp (/ 1.0 3.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (cbrt (exp x)) (cbrt (exp (/ 1.0 3.0)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (exp (/ 1.0 3.0)))) (/ (cbrt (exp x)) (sqrt (exp (/ 1.0 3.0)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (exp (/ 1.0 3.0))) (/ (sqrt (exp x)) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (sqrt (exp x)) (cbrt (exp (/ 1.0 3.0)))) (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0)))) (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0)))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (exp (/ 1.0 3.0))) (/ 1 (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (exp x) (cbrt (exp (/ 1.0 3.0)))) (/ 1 (sqrt (exp (/ 1.0 3.0)))) (/ (exp x) (sqrt (exp (/ 1.0 3.0)))) (/ 1 1) (/ (exp x) (exp (/ 1.0 3.0))) (/ 1 (exp (/ 1.0 3.0))) (/ (exp (/ 1.0 3.0)) (exp x)) (/ (exp x) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (exp x) (sqrt (exp (/ 1.0 3.0)))) (/ (exp x) 1) (/ (exp (/ 1.0 3.0)) (cbrt (exp x))) (/ (exp (/ 1.0 3.0)) (sqrt (exp x))) (/ (exp (/ 1.0 3.0)) (exp x)) (+ x (log (/ 1 (exp 0.3333333333333333)))) (log (/ (exp x) (exp 0.3333333333333333))) (log (/ (exp x) (exp 0.3333333333333333))) (+ (/ 1 (exp 0.3333333333333333)) (+ (/ x (exp 0.3333333333333333)) (* 1/2 (/ (pow x 2) (exp 0.3333333333333333))))) (/ (exp x) (exp 0.3333333333333333)) (/ (exp x) (exp 0.3333333333333333)) 1.303 * * [simplify]: iteration 0 : 189 enodes (cost 445 ) 1.306 * * [simplify]: iteration 1 : 534 enodes (cost 398 ) 1.315 * * [simplify]: iteration 2 : 1993 enodes (cost 385 ) 1.353 * * [simplify]: iteration 3 : 5001 enodes (cost 384 ) 1.355 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (exp x) (exp (/ 1.0 3.0)))))) (log (cbrt (/ (exp x) (exp (/ 1.0 3.0))))) (log (sqrt (/ (exp x) (exp (/ 1.0 3.0))))) (log (sqrt (/ (exp x) (exp (/ 1.0 3.0))))) (* 2 (log (/ (cbrt (exp x)) (cbrt (exp (/ 1.0 3.0)))))) (log (/ (cbrt (exp x)) (cbrt (exp (/ 1.0 3.0))))) (log (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (exp (/ 1.0 3.0))))) (log (/ (cbrt (exp x)) (sqrt (exp (/ 1.0 3.0))))) (* 2 (log (cbrt (exp x)))) (- (log (cbrt (exp x))) (/ 1.0 3.0)) (- (log (sqrt (exp x))) (+ 0 (* 2 (log (cbrt (exp (/ 1.0 3.0))))))) (log (/ (sqrt (exp x)) (cbrt (exp (/ 1.0 3.0))))) (log (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0))))) (log (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0))))) (log (sqrt (exp x))) (- (log (sqrt (exp x))) (/ 1.0 3.0)) (- 0 (+ 0 (* 2 (log (cbrt (exp (/ 1.0 3.0))))))) (- x (log (cbrt (exp (/ 1.0 3.0))))) (log (/ 1 (sqrt (exp (/ 1.0 3.0))))) (- x (log (sqrt (exp (/ 1.0 3.0))))) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) x (- (/ 1.0 3.0)) x (/ 1.0 3.0) 1 (- x (/ 1.0 3.0)) (log (log (/ (exp x) (exp (/ 1.0 3.0))))) (exp (- x (/ 1.0 3.0))) (* (cbrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (cbrt (log (/ (exp x) (exp (/ 1.0 3.0)))))) (cbrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (pow (- x (/ 1.0 3.0)) 3) (sqrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (sqrt (log (/ (exp x) (exp (/ 1.0 3.0))))) (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0)) (exp (/ (exp x) (exp (/ 1.0 3.0)))) (pow (exp (- x (/ 1.0 3.0))) 3) (* (cbrt (/ (exp x) (exp (/ 1.0 3.0)))) (cbrt (/ (exp x) (exp (/ 1.0 3.0))))) (cbrt (/ (exp x) (exp (/ 1.0 3.0)))) (pow (exp (- x (/ 1.0 3.0))) 3) (sqrt (/ (exp x) (exp (/ 1.0 3.0)))) (sqrt (/ (exp x) (exp (/ 1.0 3.0)))) (- (exp x)) (- (exp (/ 1.0 3.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (cbrt (exp x)) (cbrt (exp (/ 1.0 3.0)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (exp (/ 1.0 3.0)))) (/ (cbrt (exp x)) (sqrt (exp (/ 1.0 3.0)))) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (exp (/ 1.0 3.0))) (/ (sqrt (exp x)) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (sqrt (exp x)) (cbrt (exp (/ 1.0 3.0)))) (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0)))) (/ (sqrt (exp x)) (sqrt (exp (/ 1.0 3.0)))) (sqrt (exp x)) (/ (sqrt (exp x)) (exp (/ 1.0 3.0))) (/ 1 (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (exp x) (cbrt (exp (/ 1.0 3.0)))) (/ 1 (sqrt (exp (/ 1.0 3.0)))) (/ (exp x) (sqrt (exp (/ 1.0 3.0)))) 1 (exp (- x (/ 1.0 3.0))) (/ 1 (exp (/ 1.0 3.0))) (exp (- (/ 1.0 3.0) x)) (/ (exp x) (* (cbrt (exp (/ 1.0 3.0))) (cbrt (exp (/ 1.0 3.0))))) (/ (exp x) (sqrt (exp (/ 1.0 3.0)))) (exp x) (/ (exp (/ 1.0 3.0)) (cbrt (exp x))) (/ (exp (/ 1.0 3.0)) (sqrt (exp x))) (exp (- (/ 1.0 3.0) x)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) (+ (/ 1 (exp 0.3333333333333333)) (+ (/ x (exp 0.3333333333333333)) (* 1/2 (/ (pow x 2) (exp 0.3333333333333333))))) (exp (- x 0.3333333333333333)) (exp (- x 0.3333333333333333)) 1.355 * * * [progress]: adding candidates to table 1.481 * [progress]: [Phase 3 of 3] Extracting. 1.481 * * [regime]: Finding splitpoints for: (# #) 1.481 * * * [regime-changes]: Trying 2 branch expressions: ((- x (/ 1.0 3.0)) x) 1.481 * * * * [regimes]: Trying to branch on (- x (/ 1.0 3.0)) from (# #) 1.492 * * * * [regimes]: Trying to branch on x from (# #) 1.502 * * * [regime]: Found split indices: #