7.258 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (- (exp x) 1.0) 0.041 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.042 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.043 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.043 * [simplify]: Simplified to: (- (exp x) 1.0) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.062 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (exp x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (exp x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.071 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.072 * [taylor]: Taking taylor expansion of -1 in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * * * [progress]: simplifying candidates 0.076 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 1.0) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) 0.079 * * [simplify]: iteration 0 : 81 enodes (cost 72 ) 0.081 * * [simplify]: iteration 1 : 185 enodes (cost 67 ) 0.085 * * [simplify]: iteration 2 : 499 enodes (cost 66 ) 0.093 * * [simplify]: iteration 3 : 1399 enodes (cost 66 ) 0.130 * * [simplify]: iteration 4 : 5002 enodes (cost 66 ) 0.131 * [simplify]: Simplified to: (exp (- (exp x) 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- 0 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 0 1.0) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) 0.131 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.167 * * * * [pick]: Picked # 0.167 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1) 0.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.214 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.231 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1) 0.232 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.232 * [taylor]: Taking taylor expansion of 1/6 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.232 * [taylor]: Taking taylor expansion of 1/6 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.237 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.237 * [taylor]: Taking taylor expansion of 1/6 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.238 * [taylor]: Taking taylor expansion of 1/6 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.241 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.242 * [taylor]: Taking taylor expansion of -1/6 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.242 * [taylor]: Taking taylor expansion of -1/6 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.249 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.249 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.249 * [taylor]: Taking taylor expansion of 1/6 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of 1/2 in x 0.249 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.249 * [taylor]: Taking taylor expansion of 1/6 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of 1/2 in x 0.265 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.265 * [taylor]: Taking taylor expansion of 1/2 in x 0.265 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of 1/6 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of 1/2 in x 0.267 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of 1/6 in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.285 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.285 * [taylor]: Taking taylor expansion of 1/2 in x 0.285 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of 1/6 in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of 1/2 in x 0.287 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 1/6 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.307 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.308 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of 1/2 in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.308 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.308 * [taylor]: Taking taylor expansion of 1/6 in x 0.308 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of 1/2 in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.308 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.308 * [taylor]: Taking taylor expansion of 1/6 in x 0.308 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.312 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.312 * [taylor]: Taking taylor expansion of 1/2 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.313 * [taylor]: Taking taylor expansion of 1/6 in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.314 * [taylor]: Taking taylor expansion of 1/2 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.314 * [taylor]: Taking taylor expansion of 1/6 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.321 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.322 * [taylor]: Taking taylor expansion of 1/6 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.323 * [taylor]: Taking taylor expansion of 1/2 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) 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 (* 1/6 (/ 1 (pow x 3))) in x 0.324 * [taylor]: Taking taylor expansion of 1/6 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.337 * * * [progress]: simplifying candidates 0.338 * [simplify]: Simplifying using # : (* x 1/6) (+ (log x) (log 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (* (* (* x x) x) (* (* 1/6 1/6) 1/6)) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (* (* (* x 1/6) (* x 1/6)) (* x 1/6)) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) (* x 1) (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (log (pow x 2)) (log (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) 1) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (pow (sqrt x) 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (sqrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x (/ 2 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (* (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (exp x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (* (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) 1/2) x) (+ (* 1/2 (pow x 2)) x) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) 0.343 * * [simplify]: iteration 0 : 310 enodes (cost 356 ) 0.350 * * [simplify]: iteration 1 : 1545 enodes (cost 328 ) 0.387 * * [simplify]: iteration 2 : 5001 enodes (cost 327 ) 0.390 * [simplify]: Simplified to: (* x 1/6) (log (* x 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (pow (* x 1/6) 3) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (pow (* x 1/6) 3) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) x (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (pow x 2) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (fabs x) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) 1/4)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (* (pow x 2) (+ (* (+ (* x 1/6) 1/2) (* (pow x 2) (+ (* x 1/6) 1/2))) (- 1 (* (+ (* x 1/6) 1/2) x)))) (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* 1/2 (pow x 2)) x) (+ (* 1/2 (pow x 2)) x) (* x 1/6) (* x 1/6) (* x 1/6) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 0.390 * * * [progress]: adding candidates to table 0.514 * * [progress]: iteration 3 / 4 0.514 * * * [progress]: picking best candidate 0.516 * * * * [pick]: Picked # 0.516 * * * [progress]: localizing error 0.522 * * * [progress]: generating rewritten candidates 0.522 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.535 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.560 * * * [progress]: generating series expansions 0.560 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.560 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.560 * [taylor]: Taking taylor expansion of (exp x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.560 * [taylor]: Taking taylor expansion of (exp x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.566 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.566 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.570 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.570 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.574 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.574 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.574 * [taylor]: Taking taylor expansion of (exp x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.574 * [taylor]: Taking taylor expansion of (exp x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.579 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.579 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.583 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * * * [progress]: simplifying candidates 0.587 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 1.0) (log (exp (exp x))) (log (exp (- 1.0))) (log (exp (exp x))) (log (exp (- 1.0))) (log (* (cbrt (exp (- (exp x) 1.0))) (cbrt (exp (- (exp x) 1.0))))) (log (cbrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log 1) (log (exp (- (exp x) 1.0))) (log (exp (exp x))) (log (exp 1.0)) (log (exp (- (exp x) 1.0))) (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) (log (exp (sqrt (- (exp x) 1.0)))) (log (exp 1)) (log (exp (+ (sqrt (exp x)) (sqrt 1.0)))) (log (exp 1)) (log (log (exp (- (exp x) 1.0)))) (exp (log (exp (- (exp x) 1.0)))) (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0))))) (cbrt (log (exp (- (exp x) 1.0)))) (* (* (log (exp (- (exp x) 1.0))) (log (exp (- (exp x) 1.0)))) (log (exp (- (exp x) 1.0)))) (sqrt (log (exp (- (exp x) 1.0)))) (sqrt (log (exp (- (exp x) 1.0)))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) 0.591 * * [simplify]: iteration 0 : 120 enodes (cost 161 ) 0.593 * * [simplify]: iteration 1 : 277 enodes (cost 146 ) 0.597 * * [simplify]: iteration 2 : 652 enodes (cost 144 ) 0.608 * * [simplify]: iteration 3 : 1859 enodes (cost 144 ) 0.650 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.651 * [simplify]: Simplified to: (exp (- (exp x) 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 1.0) (exp x) (- 1.0) (exp x) (- 1.0) (* 2 (log (cbrt (exp (- (exp x) 1.0))))) (log (cbrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) 0 (- (exp x) 1.0) (exp x) 1.0 (- (exp x) 1.0) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (sqrt (- (exp x) 1.0)) 1 (+ (sqrt (exp x)) (sqrt 1.0)) 1 (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) 0.652 * * * [progress]: adding candidates to table 0.712 * [progress]: [Phase 3 of 3] Extracting. 0.712 * * [regime]: Finding splitpoints for: (# # #) 0.712 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (- (exp x) 1.0) x) 0.712 * * * * [regimes]: Trying to branch on (exp x) from (# # #) 0.724 * * * * [regimes]: Trying to branch on (exp x) from (# #) 0.738 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# # #) 0.750 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# #) 0.762 * * * * [regimes]: Trying to branch on x from (# # #) 0.774 * * * [regime]: Found split indices: #