21.202 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying using # : (- (exp x) 1.0) 0.048 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.049 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.050 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.050 * [simplify]: Simplified to: (- (exp x) 1.0) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.059 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (exp x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (exp x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.061 * [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 -1 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 * * * [progress]: simplifying candidates 0.062 * [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))) (neg 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) (neg 1.0) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) 0.065 * * [simplify]: iteration 0 : 81 enodes (cost 72 ) 0.066 * * [simplify]: iteration 1 : 185 enodes (cost 67 ) 0.070 * * [simplify]: iteration 2 : 499 enodes (cost 66 ) 0.078 * * [simplify]: iteration 3 : 1399 enodes (cost 66 ) 0.113 * * [simplify]: iteration 4 : 5002 enodes (cost 66 ) 0.114 * [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) 0.114 * * * [progress]: adding candidates to table 0.146 * * [progress]: iteration 2 / 4 0.146 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.151 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1) 0.160 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.168 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1) 0.177 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.177 * [taylor]: Taking taylor expansion of 1/6 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.177 * [taylor]: Taking taylor expansion of 1/6 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.177 * [taylor]: Taking taylor expansion of 1/6 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.177 * [taylor]: Taking taylor expansion of 1/6 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.178 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.178 * [taylor]: Taking taylor expansion of -1/6 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.178 * [taylor]: Taking taylor expansion of -1/6 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.179 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.179 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.179 * [taylor]: Taking taylor expansion of 1/6 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1/2 in x 0.179 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.179 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.179 * [taylor]: Taking taylor expansion of 1/6 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1/2 in x 0.180 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of 1/2 in x 0.180 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of 1/6 in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of 1/2 in x 0.181 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 1/6 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1/2 in x 0.183 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of 1/6 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1/2 in x 0.183 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of 1/6 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.187 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.187 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of 1/2 in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.187 * [taylor]: Taking taylor expansion of 1/6 in x 0.187 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of 1/2 in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.187 * [taylor]: Taking taylor expansion of 1/6 in x 0.187 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.188 * [taylor]: Taking taylor expansion of 1/2 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.188 * [taylor]: Taking taylor expansion of 1/6 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.188 * [taylor]: Taking taylor expansion of 1/2 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.188 * [taylor]: Taking taylor expansion of 1/6 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.189 * [taylor]: Taking taylor expansion of 1/2 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.189 * [taylor]: Taking taylor expansion of 1/6 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.189 * [taylor]: Taking taylor expansion of 1/2 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.190 * [taylor]: Taking taylor expansion of 1/6 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * * * [progress]: simplifying candidates 0.191 * [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)))) 0.196 * * [simplify]: iteration 0 : 310 enodes (cost 355 ) 0.202 * * [simplify]: iteration 1 : 1545 enodes (cost 327 ) 0.238 * * [simplify]: iteration 2 : 5001 enodes (cost 326 ) 0.241 * [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) 1/36) -1/4) (pow x 2)) (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) 0.241 * * * [progress]: adding candidates to table 0.325 * * [progress]: iteration 3 / 4 0.325 * * * [progress]: picking best candidate 0.327 * * * * [pick]: Picked # 0.327 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.336 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.342 * * * [progress]: generating series expansions 0.342 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.342 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (exp x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (exp x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.344 * [taylor]: Taking taylor expansion of -1 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.344 * [taylor]: Taking taylor expansion of -1 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.344 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (exp x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (exp x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.346 * [taylor]: Taking taylor expansion of -1 in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.346 * [taylor]: Taking taylor expansion of -1 in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * * * [progress]: simplifying candidates 0.347 * [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))) (neg 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) (neg 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) 0.350 * * [simplify]: iteration 0 : 125 enodes (cost 172 ) 0.352 * * [simplify]: iteration 1 : 252 enodes (cost 162 ) 0.356 * * [simplify]: iteration 2 : 615 enodes (cost 157 ) 0.365 * * [simplify]: iteration 3 : 1689 enodes (cost 151 ) 0.401 * * [simplify]: iteration 4 : 5001 enodes (cost 151 ) 0.402 * [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))) (- 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) 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 (exp x)) (sqrt 1.0)) (- (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) (exp x)) (* 1.0 1.0)) (+ (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 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) 0.403 * * * [progress]: adding candidates to table 0.445 * [progress]: [Phase 3 of 3] Extracting. 0.445 * * [regime]: Finding splitpoints for: (# #) 0.446 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (- (exp x) 1.0) x) 0.446 * * * * [regimes]: Trying to branch on (exp x) from (# #) 0.469 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# #) 0.494 * * * * [regimes]: Trying to branch on x from (# #) 0.521 * * * [regime]: Found split indices: #