8.383 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (- (exp x) 1.0) 0.045 * * [simplify]: iteration 0 : 4 enodes (cost 4 ) 0.045 * * [simplify]: iteration 1 : 6 enodes (cost 4 ) 0.046 * * [simplify]: iteration 2 : 7 enodes (cost 4 ) 0.046 * * [simplify]: iteration done : 7 enodes (cost 4 ) 0.047 * [simplify]: Simplified to: (- (exp x) 1.0) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.056 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.062 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 x)) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.066 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.067 * [taylor]: Taking taylor expansion of -1 in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * * * [progress]: simplifying candidates 0.071 * [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) 0.072 * * [simplify]: iteration 0 : 39 enodes (cost 132 ) 0.078 * * [simplify]: iteration 1 : 83 enodes (cost 127 ) 0.094 * * [simplify]: iteration 2 : 184 enodes (cost 119 ) 0.134 * * [simplify]: iteration 3 : 383 enodes (cost 117 ) 0.270 * * [simplify]: iteration 4 : 1058 enodes (cost 117 ) 1.096 * * [simplify]: iteration done : 5000 enodes (cost 117 ) 1.096 * [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 (+ (exp x) 1.0)) (exp (+ x x))) (- 1.0) (- (exp (+ x 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) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) 1.096 * * * [progress]: adding candidates to table 1.131 * * [progress]: iteration 2 / 4 1.131 * * * [progress]: picking best candidate 1.135 * * * * [pick]: Picked # 1.135 * * * [progress]: localizing error 1.142 * * * [progress]: generating rewritten candidates 1.142 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1) 1.145 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.157 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.164 * * * [progress]: generating series expansions 1.164 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1) 1.164 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 1.164 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.164 * [taylor]: Taking taylor expansion of 1/6 in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.165 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.165 * [taylor]: Taking taylor expansion of 1/6 in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.170 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 1.170 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 1.170 * [taylor]: Taking taylor expansion of 1/6 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 1.170 * [taylor]: Taking taylor expansion of 1/6 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.174 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 1.174 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 1.174 * [taylor]: Taking taylor expansion of -1/6 in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 1.175 * [taylor]: Taking taylor expansion of -1/6 in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.178 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.178 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 1.179 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 1.179 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.179 * [taylor]: Taking taylor expansion of 1/6 in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of 1/2 in x 1.179 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 1.179 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 1.179 * [taylor]: Taking taylor expansion of 1/6 in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of 1/2 in x 1.199 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 1.199 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.199 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 1.199 * [taylor]: Taking taylor expansion of 1/2 in x 1.199 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.199 * [taylor]: Taking taylor expansion of 1/6 in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.200 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 1.200 * [taylor]: Taking taylor expansion of 1/2 in x 1.200 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.201 * [taylor]: Taking taylor expansion of 1/6 in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.220 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 1.220 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.220 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 1.220 * [taylor]: Taking taylor expansion of 1/2 in x 1.220 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.220 * [taylor]: Taking taylor expansion of 1/6 in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 1.222 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 1.222 * [taylor]: Taking taylor expansion of 1/2 in x 1.222 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 1.222 * [taylor]: Taking taylor expansion of 1/6 in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.244 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.244 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 1.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 1.244 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.244 * [taylor]: Taking taylor expansion of 1/2 in x 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 1.244 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 1.244 * [taylor]: Taking taylor expansion of 1/6 in x 1.244 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 1.244 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.244 * [taylor]: Taking taylor expansion of 1/2 in x 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 1.244 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 1.244 * [taylor]: Taking taylor expansion of 1/6 in x 1.244 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.248 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 1.249 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.249 * [taylor]: Taking taylor expansion of 1/2 in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) 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 (* 1/6 (/ 1 (pow x 3))) in x 1.249 * [taylor]: Taking taylor expansion of 1/6 in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.249 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.250 * [taylor]: Taking taylor expansion of 1/2 in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.251 * [taylor]: Taking taylor expansion of 1/6 in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.251 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.259 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 1.259 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.259 * [taylor]: Taking taylor expansion of 1/2 in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.260 * [taylor]: Taking taylor expansion of 1/6 in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.260 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 1.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.261 * [taylor]: Taking taylor expansion of 1/2 in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 1.265 * [taylor]: Taking taylor expansion of 1/6 in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.265 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.274 * * * [progress]: simplifying candidates 1.275 * [simplify]: Simplifying using # : (* 1/6 x) (+ (log 1/6) (log x)) (log (* 1/6 x)) (exp (* 1/6 x)) (* (* (* 1/6 1/6) 1/6) (* (* x x) x)) (* (cbrt (* 1/6 x)) (cbrt (* 1/6 x))) (cbrt (* 1/6 x)) (* (* (* 1/6 x) (* 1/6 x)) (* 1/6 x)) (sqrt (* 1/6 x)) (sqrt (* 1/6 x)) (* (sqrt 1/6) (sqrt x)) (* (sqrt 1/6) (sqrt x)) (* 1/6 (* (cbrt x) (cbrt x))) (* 1/6 (sqrt x)) (* 1/6 1) (* (cbrt 1/6) x) (* (sqrt 1/6) x) (* 1/6 x) (+ (* (log x) 2) (log (+ (* 1/6 x) 1/2))) (+ (* (log x) 2) (log (+ (* 1/6 x) 1/2))) (+ (log (pow x 2)) (log (+ (* 1/6 x) 1/2))) (log (* (pow x 2) (+ (* 1/6 x) 1/2))) (exp (* (pow x 2) (+ (* 1/6 x) 1/2))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ (* 1/6 x) 1/2) (+ (* 1/6 x) 1/2)) (+ (* 1/6 x) 1/2))) (* (cbrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (cbrt (* (pow x 2) (+ (* 1/6 x) 1/2)))) (cbrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (* (* (* (pow x 2) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2))) (* (pow x 2) (+ (* 1/6 x) 1/2))) (sqrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (sqrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* 1/6 x) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* 1/6 x) 1/2))) (* x (sqrt (+ (* 1/6 x) 1/2))) (* x (sqrt (+ (* 1/6 x) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* 1/6 x) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* 1/6 x) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* 1/6 x) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* 1/6 x) 1/2))) (* (pow x 2) (* 1/6 x)) (* (pow x 2) 1/2) (* (* 1/6 x) (pow x 2)) (* 1/2 (pow x 2)) (* (pow x 2) (* (cbrt (+ (* 1/6 x) 1/2)) (cbrt (+ (* 1/6 x) 1/2)))) (* (pow x 2) (sqrt (+ (* 1/6 x) 1/2))) (* (pow x 2) 1) (* (pow (cbrt x) 2) (+ (* 1/6 x) 1/2)) (* (pow (sqrt x) 2) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2)) (* x (+ (* 1/6 x) 1/2)) (* (cbrt (pow x 2)) (+ (* 1/6 x) 1/2)) (* (sqrt (pow x 2)) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2)) (* (pow x (/ 2 2)) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (pow (* 1/6 x) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* 1/6 x) (* 1/6 x)) (* 1/2 1/2))) (* (exp (* (pow x 2) (+ (* 1/6 x) 1/2))) (exp x)) (log (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (* (* (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* 1/6 x) 1/2)) 3) (pow x 3)) (+ (* (* (pow x 2) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* 1/6 x) 1/2)) x))) (- (* (* (pow x 2) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2))) (* x x)) (- (* (pow x 2) (+ (* 1/6 x) 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)))) 1.278 * * [simplify]: iteration 0 : 112 enodes (cost 812 ) 1.304 * * [simplify]: iteration 1 : 312 enodes (cost 730 ) 1.491 * * [simplify]: iteration 2 : 1240 enodes (cost 673 ) 2.091 * * [simplify]: iteration done : 5000 enodes (cost 673 ) 2.091 * [simplify]: Simplified to: (* 1/6 x) (log (* 1/6 x)) (log (* 1/6 x)) (exp (* 1/6 x)) (pow (* 1/6 x) 3) (* (cbrt (* 1/6 x)) (cbrt (* 1/6 x))) (cbrt (* 1/6 x)) (pow (* 1/6 x) 3) (sqrt (* 1/6 x)) (sqrt (* 1/6 x)) (* (sqrt 1/6) (sqrt x)) (* (sqrt 1/6) (sqrt x)) (* (pow (cbrt x) 2) 1/6) (* 1/6 (sqrt x)) 1/6 (* (cbrt 1/6) x) (* (sqrt 1/6) x) (* 1/6 x) (log (* (* x x) (+ (* 1/6 x) 1/2))) (log (* (* x x) (+ (* 1/6 x) 1/2))) (log (* (* x x) (+ (* 1/6 x) 1/2))) (log (* (* x x) (+ (* 1/6 x) 1/2))) (exp (* (pow x 2) (+ (* 1/6 x) 1/2))) (pow (* (pow x 2) (+ (* 1/6 x) 1/2)) 3) (* (cbrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (cbrt (* (pow x 2) (+ (* 1/6 x) 1/2)))) (cbrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (pow (* (pow x 2) (+ (* 1/6 x) 1/2)) 3) (sqrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (sqrt (* (pow x 2) (+ (* 1/6 x) 1/2))) (* x (sqrt (+ (* 1/6 x) 1/2))) (* x (sqrt (+ (* 1/6 x) 1/2))) (* x (sqrt (+ (* 1/6 x) 1/2))) (* x (sqrt (+ (* 1/6 x) 1/2))) (* (sqrt (+ (* 1/6 x) 1/2)) (fabs x)) (* (sqrt (+ (* 1/6 x) 1/2)) (fabs x)) (* x (sqrt (+ (* 1/6 x) 1/2))) (* x (sqrt (+ (* 1/6 x) 1/2))) (* 1/6 (pow x 3)) (* (pow x 2) 1/2) (* 1/6 (pow x 3)) (* (pow x 2) 1/2) (* (pow x 2) (* (cbrt (+ (* 1/6 x) 1/2)) (cbrt (+ (* 1/6 x) 1/2)))) (* (pow x 2) (sqrt (+ (* 1/6 x) 1/2))) (* x x) (* (pow (cbrt x) 2) (+ (* 1/6 x) 1/2)) (* x (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2)) (* x (+ (* 1/6 x) 1/2)) (* (cbrt (pow x 2)) (+ (* 1/6 x) 1/2)) (* (fabs x) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2)) (* x (+ (* 1/6 x) 1/2)) (* (+ 1/8 (pow (* 1/6 x) 3)) (pow x 2)) (* (- (* 1/36 (pow x 2)) 1/4) (pow x 2)) (exp (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (log (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (exp (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (* (cbrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))) (cbrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (pow (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 3) (sqrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)) (+ (pow (* (pow x 2) (+ (* 1/6 x) 1/2)) 3) (pow x 3)) (+ (* x (- x (* (pow x 2) (+ (* 1/6 x) 1/2)))) (* (pow x 4) (* (+ (* 1/6 x) 1/2) (+ (* 1/6 x) 1/2)))) (- (* (pow x 4) (* (+ (* 1/6 x) 1/2) (+ (* 1/6 x) 1/2))) (pow x 2)) (- (* (pow x 2) (+ (* 1/6 x) 1/2)) x) (+ (* (pow x 2) 1/2) x) (+ (* (pow x 2) 1/2) x) (* 1/6 x) (* 1/6 x) (* 1/6 x) (* (pow x 2) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2)) (* (pow x 2) (+ (* 1/6 x) 1/2)) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 2.092 * * * [progress]: adding candidates to table 2.215 * * [progress]: iteration 3 / 4 2.215 * * * [progress]: picking best candidate 2.216 * * * * [pick]: Picked # 2.217 * * * [progress]: localizing error 2.222 * * * [progress]: generating rewritten candidates 2.222 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 2.226 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.231 * * * [progress]: generating series expansions 2.231 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 2.232 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 2.232 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 2.232 * [taylor]: Taking taylor expansion of (exp x) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 2.232 * [taylor]: Taking taylor expansion of (exp x) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 2.237 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 2.237 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of 1.0 in x 2.238 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 2.238 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 2.241 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 2.242 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.242 * [taylor]: Taking taylor expansion of -1 in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of 1.0 in x 2.242 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 2.242 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.242 * [taylor]: Taking taylor expansion of -1 in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of 1.0 in x 2.246 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.246 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 2.246 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 2.246 * [taylor]: Taking taylor expansion of (exp x) in x 2.246 * [taylor]: Taking taylor expansion of x in x 2.246 * [taylor]: Taking taylor expansion of 1.0 in x 2.246 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 2.246 * [taylor]: Taking taylor expansion of (exp x) in x 2.246 * [taylor]: Taking taylor expansion of x in x 2.246 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 2.252 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 2.252 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 2.252 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 2.256 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 2.256 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.256 * [taylor]: Taking taylor expansion of -1 in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.256 * [taylor]: Taking taylor expansion of 1.0 in x 2.256 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 2.256 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.256 * [taylor]: Taking taylor expansion of -1 in x 2.256 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.260 * * * [progress]: simplifying candidates 2.261 * [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) (exp 1) (exp (* (cbrt (log (- (exp x) 1.0))) (cbrt (log (- (exp x) 1.0))))) (exp (sqrt (log (- (exp x) 1.0)))) (exp 1) (exp (log (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) (exp (log (cbrt (- (exp x) 1.0)))) (exp (log (sqrt (- (exp x) 1.0)))) (exp (log (sqrt (- (exp x) 1.0)))) (exp (log 1)) (exp (log (- (exp x) 1.0))) (exp (log (+ (sqrt (exp x)) (sqrt 1.0)))) (exp (log (- (sqrt (exp x)) (sqrt 1.0)))) (exp (log 1)) (exp (log (- (exp x) 1.0))) (exp (log (- (pow (exp x) 3) (pow 1.0 3)))) (exp (log (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))) (exp (log (- (* (exp x) (exp x)) (* 1.0 1.0)))) (exp (log (+ (exp x) 1.0))) (log (exp (log (- (exp x) 1.0)))) (exp (exp (log (- (exp x) 1.0)))) (* (cbrt (exp (log (- (exp x) 1.0)))) (cbrt (exp (log (- (exp x) 1.0))))) (cbrt (exp (log (- (exp x) 1.0)))) (* (* (exp (log (- (exp x) 1.0))) (exp (log (- (exp x) 1.0)))) (exp (log (- (exp x) 1.0)))) (sqrt (exp (log (- (exp x) 1.0)))) (sqrt (exp (log (- (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) 2.263 * * [simplify]: iteration 0 : 74 enodes (cost 359 ) 2.273 * * [simplify]: iteration 1 : 126 enodes (cost 300 ) 2.295 * * [simplify]: iteration 2 : 240 enodes (cost 278 ) 2.339 * * [simplify]: iteration 3 : 481 enodes (cost 274 ) 2.523 * * [simplify]: iteration 4 : 1358 enodes (cost 268 ) 3.204 * * [simplify]: iteration done : 5000 enodes (cost 268 ) 3.204 * [simplify]: Simplified to: (exp (- (exp x) 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (pow (cbrt (- (exp x) 1.0)) 2) (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 x)) (* 1.0 1.0)) (+ 1.0 (exp x)) (+ (sqrt 1.0) (sqrt (exp x))) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 1.0) E (exp (* (cbrt (log (- (exp x) 1.0))) (cbrt (log (- (exp x) 1.0))))) (exp (sqrt (log (- (exp x) 1.0)))) E (pow (cbrt (- (exp x) 1.0)) 2) (cbrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) 1 (- (exp x) 1.0) (+ (sqrt 1.0) (sqrt (exp x))) (- (sqrt (exp x)) (sqrt 1.0)) 1 (- (exp x) 1.0) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (pow (cbrt (- (exp x) 1.0)) 2) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (+ x (* (pow x 2) (+ (* 1/6 x) 1/2))) (- (exp x) 1.0) (- (exp x) 1.0) (+ x (* (pow x 2) (+ (* 1/6 x) 1/2))) (- (exp x) 1.0) (- (exp x) 1.0) 3.205 * * * [progress]: adding candidates to table 3.267 * [progress]: [Phase 3 of 3] Extracting. 3.267 * * [regime]: Finding splitpoints for: (# #) 3.267 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (- (exp x) 1.0) x) 3.267 * * * * [regimes]: Trying to branch on (exp x) from (# #) 3.278 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# #) 3.289 * * * * [regimes]: Trying to branch on x from (# #) 3.299 * * * [regime]: Found split indices: #