7.569 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (- x (/ 1.0 3.0)) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.019 * * [simplify]: iteration 2 : 10 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (- x (/ 1.0 3.0)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.035 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.047 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.055 * * * [progress]: simplifying candidates 0.055 * [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) 0.058 * * [simplify]: iteration 0 : 81 enodes (cost 77 ) 0.060 * * [simplify]: iteration 1 : 178 enodes (cost 72 ) 0.063 * * [simplify]: iteration 2 : 428 enodes (cost 72 ) 0.070 * * [simplify]: iteration 3 : 1204 enodes (cost 72 ) 0.091 * * [simplify]: iteration 4 : 4291 enodes (cost 72 ) 0.159 * * [simplify]: iteration 5 : 5001 enodes (cost 72 ) 0.160 * [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) 0.160 * * * [progress]: adding candidates to table 0.184 * * [progress]: iteration 2 / 4 0.184 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.192 * * * [progress]: generating rewritten candidates 0.192 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.215 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.236 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.243 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.244 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.248 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.257 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) 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 0.257 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) 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 0.265 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.265 * [approximate]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in x 0.266 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.267 * [taylor]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in x 0.267 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.279 * [approximate]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.280 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.281 * [approximate]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of 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 0.282 * [taylor]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of 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 0.283 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.284 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.284 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.288 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.297 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.297 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.297 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.305 * * * [progress]: simplifying candidates 0.306 * [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) 0.309 * * [simplify]: iteration 0 : 154 enodes (cost 251 ) 0.312 * * [simplify]: iteration 1 : 411 enodes (cost 228 ) 0.318 * * [simplify]: iteration 2 : 1098 enodes (cost 225 ) 0.339 * * [simplify]: iteration 3 : 4428 enodes (cost 225 ) 0.437 * * [simplify]: iteration 4 : 5001 enodes (cost 225 ) 0.439 * [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) 0.439 * * * [progress]: adding candidates to table 0.543 * [progress]: [Phase 3 of 3] Extracting. 0.543 * * [regime]: Finding splitpoints for: (# #) 0.543 * * * [regime-changes]: Trying 2 branch expressions: ((- x (/ 1.0 3.0)) x) 0.543 * * * * [regimes]: Trying to branch on (- x (/ 1.0 3.0)) from (# #) 0.552 * * * * [regimes]: Trying to branch on x from (# #) 0.561 * * * [regime]: Found split indices: #