11.663 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (- (exp x) 1.0) 0.049 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.050 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.050 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.051 * [simplify]: Simplified to: (- (exp x) 1.0) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 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 0.060 * [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 0.062 * [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 -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 * [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 -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 0.063 * [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 ) 0.067 * * [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 0.145 * * [progress]: iteration 2 / 4 0.145 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1) 0.159 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.167 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1) 0.176 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.176 * [taylor]: Taking taylor expansion of 1/6 in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.176 * [taylor]: Taking taylor expansion of 1/6 in x 0.176 * [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 0.177 * [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 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.178 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) 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 0.178 * [taylor]: Taking taylor expansion of 1/2 in x 0.178 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) 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 0.178 * [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 0.180 * [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 0.182 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1/2 in x 0.182 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 1/6 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1/2 in x 0.182 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 1/6 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.184 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.184 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.184 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of 1/2 in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.185 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.185 * [taylor]: Taking taylor expansion of 1/6 in x 0.185 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of 1/2 in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.185 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.185 * [taylor]: Taking taylor expansion of 1/6 in x 0.185 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.185 * [taylor]: Taking taylor expansion of 1/2 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.186 * [taylor]: Taking taylor expansion of 1/6 in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.186 * [taylor]: Taking taylor expansion of 1/2 in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.186 * [taylor]: Taking taylor expansion of 1/6 in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.187 * [taylor]: Taking taylor expansion of 1/2 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.187 * [taylor]: Taking taylor expansion of 1/6 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) 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 (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.187 * [taylor]: Taking taylor expansion of 1/2 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.187 * [taylor]: Taking taylor expansion of 1/6 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * * * [progress]: simplifying candidates 0.189 * [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)))) 0.193 * * [simplify]: iteration 0 : 310 enodes (cost 355 ) 0.200 * * [simplify]: iteration 1 : 1545 enodes (cost 327 ) 0.237 * * [simplify]: iteration 2 : 5001 enodes (cost 326 ) 0.240 * [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 0.320 * * [progress]: iteration 3 / 4 0.320 * * * [progress]: picking best candidate 0.322 * * * * [pick]: Picked # 0.322 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.333 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.337 * * * [progress]: generating series expansions 0.338 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.338 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (exp x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (exp x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.340 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (exp x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (exp x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.341 * [taylor]: Taking taylor expansion of -1 in x 0.341 * [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 (/ -1 x)) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.342 * [taylor]: Taking taylor expansion of -1 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 * * * [progress]: simplifying candidates 0.343 * [simplify]: Simplifying using # : (log (exp (exp x))) (log (exp (neg 1.0))) (log (exp (exp x))) (log (exp (neg 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)))) (/ (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) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) 0.345 * * [simplify]: iteration 0 : 120 enodes (cost 161 ) 0.347 * * [simplify]: iteration 1 : 279 enodes (cost 146 ) 0.351 * * [simplify]: iteration 2 : 654 enodes (cost 144 ) 0.361 * * [simplify]: iteration 3 : 1861 enodes (cost 144 ) 0.403 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.405 * [simplify]: Simplified to: (exp x) (neg 1.0) (exp x) (neg 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)) (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))) (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) (+ (* (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) 0.405 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 4 / 4 0.445 * * * [progress]: picking best candidate 0.449 * * * * [pick]: Picked # 0.449 * * * [progress]: localizing error 0.457 * * * [progress]: generating rewritten candidates 0.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.463 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.469 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.473 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.479 * * * [progress]: generating series expansions 0.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.479 * [approximate]: Taking taylor expansion of (log (sqrt (exp (- (exp x) 1.0)))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp x) 1.0)))) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp x) 1.0))) in x 0.480 * [taylor]: Taking taylor expansion of (exp (- (exp x) 1.0)) in x 0.480 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.480 * [taylor]: Taking taylor expansion of (exp x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp x) 1.0)))) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp x) 1.0))) in x 0.480 * [taylor]: Taking taylor expansion of (exp (- (exp x) 1.0)) in x 0.480 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.480 * [taylor]: Taking taylor expansion of (exp x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [approximate]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ 1 x)) 1.0)))) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ 1 x)) 1.0)))) in x 0.481 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ 1 x)) 1.0))) in x 0.481 * [taylor]: Taking taylor expansion of (exp (- (exp (/ 1 x)) 1.0)) in x 0.481 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.481 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ 1 x)) 1.0)))) in x 0.482 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ 1 x)) 1.0))) in x 0.482 * [taylor]: Taking taylor expansion of (exp (- (exp (/ 1 x)) 1.0)) in x 0.482 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.482 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [approximate]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ -1 x)) 1.0)))) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ -1 x)) 1.0)))) in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ -1 x)) 1.0))) in x 0.490 * [taylor]: Taking taylor expansion of (exp (- (exp (/ -1 x)) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.490 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.490 * [taylor]: Taking taylor expansion of -1 in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ -1 x)) 1.0)))) in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ -1 x)) 1.0))) in x 0.490 * [taylor]: Taking taylor expansion of (exp (- (exp (/ -1 x)) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.490 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.490 * [taylor]: Taking taylor expansion of -1 in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.498 * [approximate]: Taking taylor expansion of (log (sqrt (exp (- (exp x) 1.0)))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp x) 1.0)))) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp x) 1.0))) in x 0.498 * [taylor]: Taking taylor expansion of (exp (- (exp x) 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (exp x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp x) 1.0)))) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp x) 1.0))) in x 0.498 * [taylor]: Taking taylor expansion of (exp (- (exp x) 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (exp x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [approximate]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ 1 x)) 1.0)))) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ 1 x)) 1.0)))) in x 0.499 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ 1 x)) 1.0))) in x 0.499 * [taylor]: Taking taylor expansion of (exp (- (exp (/ 1 x)) 1.0)) in x 0.499 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.499 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ 1 x)) 1.0)))) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ 1 x)) 1.0))) in x 0.500 * [taylor]: Taking taylor expansion of (exp (- (exp (/ 1 x)) 1.0)) in x 0.500 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.500 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [approximate]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ -1 x)) 1.0)))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ -1 x)) 1.0)))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ -1 x)) 1.0))) in x 0.508 * [taylor]: Taking taylor expansion of (exp (- (exp (/ -1 x)) 1.0)) in x 0.508 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.508 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (log (sqrt (exp (- (exp (/ -1 x)) 1.0)))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (exp (- (exp (/ -1 x)) 1.0))) in x 0.508 * [taylor]: Taking taylor expansion of (exp (- (exp (/ -1 x)) 1.0)) in x 0.508 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.508 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 0.516 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.516 * [taylor]: Taking taylor expansion of (exp x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.516 * [taylor]: Taking taylor expansion of (exp x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.517 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.517 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.520 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.520 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 0.520 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.520 * [taylor]: Taking taylor expansion of (exp x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.520 * [taylor]: Taking taylor expansion of (exp x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.521 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.521 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.522 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.522 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * * * [progress]: simplifying candidates 0.523 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (exp (- (exp x) 1.0)))) (cbrt (sqrt (exp (- (exp x) 1.0)))))) (log (cbrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (* (cbrt (exp (- (exp x) 1.0))) (cbrt (exp (- (exp x) 1.0)))))) (log (sqrt (cbrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt 1)) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log 1) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp 1.0))) (log (exp (- (exp x) 1.0))) (log (sqrt (exp (- (exp x) 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 (sqrt (exp (- (exp x) 1.0))))) (exp (log (sqrt (exp (- (exp x) 1.0))))) (* (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (cbrt (log (sqrt (exp (- (exp x) 1.0)))))) (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (* (* (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (log (* (cbrt (sqrt (exp (- (exp x) 1.0)))) (cbrt (sqrt (exp (- (exp x) 1.0)))))) (log (cbrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (* (cbrt (exp (- (exp x) 1.0))) (cbrt (exp (- (exp x) 1.0)))))) (log (sqrt (cbrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt 1)) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log 1) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp 1.0))) (log (exp (- (exp x) 1.0))) (log (sqrt (exp (- (exp x) 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 (sqrt (exp (- (exp x) 1.0))))) (exp (log (sqrt (exp (- (exp x) 1.0))))) (* (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (cbrt (log (sqrt (exp (- (exp x) 1.0)))))) (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (* (* (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (/ (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 (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) (+ (log 1) (+ (* 1/4 (pow x 2)) (* 1/2 x))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (+ (log 1) (+ (* 1/4 (pow x 2)) (* 1/2 x))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (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) 0.527 * * [simplify]: iteration 0 : 145 enodes (cost 528 ) 0.529 * * [simplify]: iteration 1 : 289 enodes (cost 482 ) 0.534 * * [simplify]: iteration 2 : 704 enodes (cost 476 ) 0.545 * * [simplify]: iteration 3 : 2273 enodes (cost 472 ) 0.590 * * [simplify]: iteration 4 : 5002 enodes (cost 472 ) 0.594 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (exp (- (exp x) 1.0)))))) (log (cbrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (* (cbrt (exp (- (exp x) 1.0))) (cbrt (exp (- (exp x) 1.0)))))) (log (sqrt (cbrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) 0 (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) 0 (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp 1.0))) (- (exp x) 1.0) (log (sqrt (exp (- (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 (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (exp (- (exp x) 1.0))) (* (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (cbrt (log (sqrt (exp (- (exp x) 1.0)))))) (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (pow (log (sqrt (exp (- (exp x) 1.0)))) 3) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (* 2 (log (cbrt (sqrt (exp (- (exp x) 1.0)))))) (log (cbrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp (neg 1.0)))) (log (sqrt (* (cbrt (exp (- (exp x) 1.0))) (cbrt (exp (- (exp x) 1.0)))))) (log (sqrt (cbrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) 0 (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) (log (sqrt (sqrt (exp (- (exp x) 1.0))))) 0 (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (exp x)))) (log (sqrt (exp 1.0))) (- (exp x) 1.0) (log (sqrt (exp (- (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 (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (exp (- (exp x) 1.0))) (* (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (cbrt (log (sqrt (exp (- (exp x) 1.0)))))) (cbrt (log (sqrt (exp (- (exp x) 1.0))))) (pow (log (sqrt (exp (- (exp x) 1.0)))) 3) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (sqrt (log (sqrt (exp (- (exp x) 1.0))))) (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) (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) (* x (+ 1/2 (* x 1/4))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (* x (+ 1/2 (* x 1/4))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (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) 0.594 * * * [progress]: adding candidates to table 0.745 * [progress]: [Phase 3 of 3] Extracting. 0.745 * * [regime]: Finding splitpoints for: (# # # #) 0.746 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (- (exp x) 1.0) x) 0.746 * * * * [regimes]: Trying to branch on (exp x) from (# # # #) 0.775 * * * * [regimes]: Trying to branch on (exp x) from (# # #) 0.802 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# # # #) 0.832 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# # #) 0.859 * * * * [regimes]: Trying to branch on x from (# # # #) 0.893 * * * [regime]: Found split indices: #