8.294 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying using # : (- (exp x) 1.0) 0.044 * * [simplify]: iteration 0 : 68 enodes (cost 4 ) 0.044 * * [simplify]: iteration 1 : 68 enodes (cost 4 ) 0.044 * [simplify]: Simplified to: (- (exp x) 1.0) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.058 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (exp x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (exp x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 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 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.060 * [taylor]: Taking taylor expansion of -1 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 (/ -1 x)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.060 * [taylor]: Taking taylor expansion of -1 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 * * * [progress]: simplifying candidates 0.061 * [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) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) 0.123 * * [simplify]: iteration 0 : 4883 enodes (cost 115 ) 0.123 * * [simplify]: iteration 1 : 4883 enodes (cost 115 ) 0.124 * [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)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))) (neg 1.0) (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) 0.124 * * * [progress]: adding candidates to table 0.152 * * [progress]: iteration 2 / 4 0.152 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.165 * * * [progress]: generating rewritten candidates 0.165 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 2 2) 0.168 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.173 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 2 2) 0.181 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.181 * [taylor]: Taking taylor expansion of 1/6 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.181 * [taylor]: Taking taylor expansion of 1/6 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.182 * [taylor]: Taking taylor expansion of 1/6 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.182 * [taylor]: Taking taylor expansion of 1/6 in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.185 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.185 * [taylor]: Taking taylor expansion of -1/6 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.185 * [taylor]: Taking taylor expansion of -1/6 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.186 * [approximate]: Taking taylor expansion of (* x (+ (* 1/6 x) 1/2)) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (* x (+ (* 1/6 x) 1/2)) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.186 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.186 * [taylor]: Taking taylor expansion of 1/6 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of 1/2 in x 0.186 * [taylor]: Taking taylor expansion of (* x (+ (* 1/6 x) 1/2)) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.186 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.186 * [taylor]: Taking taylor expansion of 1/6 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of 1/2 in x 0.187 * [approximate]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) x) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) x) in x 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 x)) 1/2) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 1/6 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 1/2 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) x) in x 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 x)) 1/2) in x 0.187 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 1/6 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 1/2 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1/2 (* 1/6 (/ 1 x))) x)) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1/2 (* 1/6 (/ 1 x))) x)) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) x) in x 0.189 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of 1/2 in x 0.189 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1/6 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 x in x 0.189 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1/2 (* 1/6 (/ 1 x))) x)) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) x) in x 0.189 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of 1/2 in x 0.189 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1/6 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 x in x 0.191 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.191 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.191 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.191 * [taylor]: Taking taylor expansion of 1/6 in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1/2 in x 0.191 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.191 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.191 * [taylor]: Taking taylor expansion of 1/6 in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1/2 in x 0.192 * [approximate]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) (pow x 2)) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 x)) 1/2) in x 0.192 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of 1/6 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of 1/2 in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ (+ (* 1/6 (/ 1 x)) 1/2) (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 x)) 1/2) in x 0.193 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of 1/6 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of 1/2 in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of 1/2 in x 0.195 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of 1/6 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of 1/2 in x 0.195 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of 1/6 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.197 * * * [progress]: simplifying candidates 0.198 * [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) (* x (+ 1/2 (* x 1/6))) (+ (log x) (log (+ 1/2 (* x 1/6)))) (log (* x (+ 1/2 (* x 1/6)))) (exp (* x (+ 1/2 (* x 1/6)))) (* (* (* x x) x) (* (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6))) (+ 1/2 (* x 1/6)))) (* (cbrt (* x (+ 1/2 (* x 1/6)))) (cbrt (* x (+ 1/2 (* x 1/6))))) (cbrt (* x (+ 1/2 (* x 1/6)))) (* (* (* x (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6)))) (* x (+ 1/2 (* x 1/6)))) (sqrt (* x (+ 1/2 (* x 1/6)))) (sqrt (* x (+ 1/2 (* x 1/6)))) (* (sqrt x) (sqrt (+ 1/2 (* x 1/6)))) (* (sqrt x) (sqrt (+ 1/2 (* x 1/6)))) (* x 1/2) (* x (* x 1/6)) (* 1/2 x) (* (* x 1/6) x) (* x (* (cbrt (+ 1/2 (* x 1/6))) (cbrt (+ 1/2 (* x 1/6))))) (* x (sqrt (+ 1/2 (* x 1/6)))) (* x 1) (* (cbrt x) (+ 1/2 (* x 1/6))) (* (sqrt x) (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6))) (* x (+ (pow 1/2 3) (pow (* x 1/6) 3))) (* x (- (* 1/2 1/2) (* (* x 1/6) (* x 1/6)))) (* x (* x (+ 1/2 (* x 1/6)))) (* x (* x (+ 1/2 (* x 1/6)))) (+ (log x) (+ (log x) (log (+ 1/2 (* x 1/6))))) (+ (log x) (log (* x (+ 1/2 (* x 1/6))))) (log (* x (* x (+ 1/2 (* x 1/6))))) (exp (* x (* x (+ 1/2 (* x 1/6))))) (* (* (* x x) x) (* (* (* x x) x) (* (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6))) (+ 1/2 (* x 1/6))))) (* (* (* x x) x) (* (* (* x (+ 1/2 (* x 1/6))) (* x (+ 1/2 (* x 1/6)))) (* x (+ 1/2 (* x 1/6))))) (* (cbrt (* x (* x (+ 1/2 (* x 1/6))))) (cbrt (* x (* x (+ 1/2 (* x 1/6)))))) (cbrt (* x (* x (+ 1/2 (* x 1/6))))) (* (* (* x (* x (+ 1/2 (* x 1/6)))) (* x (* x (+ 1/2 (* x 1/6))))) (* x (* x (+ 1/2 (* x 1/6))))) (sqrt (* x (* x (+ 1/2 (* x 1/6))))) (sqrt (* x (* x (+ 1/2 (* x 1/6))))) (* x (* x 1/2)) (* x (* x (* x 1/6))) (* x (* 1/2 x)) (* x (* (* x 1/6) x)) (* (* x 1/2) x) (* (* x (* x 1/6)) x) (* (* 1/2 x) x) (* (* (* x 1/6) x) x) (* x x) (* (cbrt x) (* x (+ 1/2 (* x 1/6)))) (* (sqrt x) (* x (+ 1/2 (* x 1/6)))) (* x (* x (+ 1/2 (* x 1/6)))) (* x (* x (+ (pow 1/2 3) (pow (* x 1/6) 3)))) (* x (* x (- (* 1/2 1/2) (* (* x 1/6) (* x 1/6))))) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/6 (pow x 2)) (* 1/2 x)) (+ (* 1/6 (pow x 2)) (* 1/2 x)) (+ (* 1/6 (pow x 2)) (* 1/2 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))) 0.240 * * [simplify]: iteration 0 : 4918 enodes (cost 560 ) 0.241 * * [simplify]: iteration 1 : 4918 enodes (cost 560 ) 0.243 * [simplify]: Simplified to: (* x 1/6) (log (* x 1/6)) (log (* x 1/6)) (pow (exp x) 1/6) (* (pow x 3) 1/216) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (* (pow x 3) 1/216) (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 (* 1/6 (cbrt x)) (* 1/6 (sqrt x)) (* x 1/6) (* x (+ (* x 1/6) 1/2)) (log (* x (+ (* x 1/6) 1/2))) (log (* x (+ (* x 1/6) 1/2))) (pow (exp x) (+ (* x 1/6) 1/2)) (pow (* x (+ (* x 1/6) 1/2)) 3) (* (cbrt (* x (+ (* x 1/6) 1/2))) (cbrt (* x (+ (* x 1/6) 1/2)))) (cbrt (* x (+ (* x 1/6) 1/2))) (pow (* x (+ (* x 1/6) 1/2)) 3) (sqrt (* x (+ (* x 1/6) 1/2))) (sqrt (* x (+ (* x 1/6) 1/2))) (* (sqrt x) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt x) (sqrt (+ (* x 1/6) 1/2))) (* x 1/2) (* x (* x 1/6)) (* x 1/2) (* x (* x 1/6)) (* x (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* x (sqrt (+ (* x 1/6) 1/2))) x (* (cbrt x) (+ (* x 1/6) 1/2)) (* (sqrt x) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (+ (* x 1/8) (* 1/216 (pow x 4))) (+ (* x 1/4) (* (pow x 3) -1/36)) (* x (* x (+ (* x 1/6) 1/2))) (* x (* x (+ (* x 1/6) 1/2))) (log (* x (* x (+ (* x 1/6) 1/2)))) (log (* x (* x (+ (* x 1/6) 1/2)))) (log (* x (* x (+ (* x 1/6) 1/2)))) (pow (pow (exp x) (+ (* x 1/6) 1/2)) x) (* (pow (+ (* x 1/6) 1/2) 3) (pow x 6)) (* (pow (+ (* x 1/6) 1/2) 3) (pow x 6)) (* (cbrt (* x (* x (+ (* x 1/6) 1/2)))) (cbrt (* x (* x (+ (* x 1/6) 1/2))))) (cbrt (* x (* x (+ (* x 1/6) 1/2)))) (* (pow (+ (* x 1/6) 1/2) 3) (pow x 6)) (sqrt (* x (* x (+ (* x 1/6) 1/2)))) (sqrt (* x (* x (+ (* x 1/6) 1/2)))) (* x (* x 1/2)) (* 1/6 (pow x 3)) (* x (* x 1/2)) (* 1/6 (pow x 3)) (* x (* x 1/2)) (* 1/6 (pow x 3)) (* x (* x 1/2)) (* 1/6 (pow x 3)) (* x x) (* x (* (cbrt x) (+ (* x 1/6) 1/2))) (* (+ (* x 1/6) 1/2) (pow x 3/2)) (* x (* x (+ (* x 1/6) 1/2))) (* x (+ (* x 1/8) (* 1/216 (pow x 4)))) (+ (* (* x x) 1/4) (* (pow x 4) -1/36)) (* x 1/6) (* x 1/6) (* x 1/6) (* x (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* x (* x (+ (* x 1/6) 1/2))) (* x (* x (+ (* x 1/6) 1/2))) (* x (* x (+ (* x 1/6) 1/2))) 0.244 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 3 / 4 0.310 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.321 * * * [progress]: generating rewritten candidates 0.321 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.324 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.330 * * * [progress]: generating series expansions 0.330 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.330 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (exp x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (exp x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.332 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (exp x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (exp x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.334 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * * * [progress]: simplifying candidates 0.335 * [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) (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)))) (+ (* 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) 0.389 * * [simplify]: iteration 0 : 4862 enodes (cost 247 ) 0.389 * * [simplify]: iteration 1 : 4862 enodes (cost 247 ) 0.391 * [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)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))) (neg 1.0) (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (exp x) (neg 1.0) (* (log (cbrt (exp (- (exp x) 1.0)))) 2) (log (cbrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log 1) (- (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)) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) 0.391 * * * [progress]: adding candidates to table 0.430 * * [progress]: iteration 4 / 4 0.430 * * * [progress]: picking best candidate 0.436 * * * * [pick]: Picked # 0.436 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.453 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.456 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.469 * * * [progress]: generating series expansions 0.469 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.469 * [approximate]: Taking taylor expansion of (- (pow (exp x) 2) 1.0) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (- (pow (exp x) 2) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.469 * [taylor]: Taking taylor expansion of (exp x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (- (pow (exp x) 2) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.469 * [taylor]: Taking taylor expansion of (exp x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) 1.0) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.470 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) 1.0) in x 0.471 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) 1.0) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.472 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.472 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.475 * [approximate]: Taking taylor expansion of (pow (exp x) 2) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.475 * [taylor]: Taking taylor expansion of (exp x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.475 * [taylor]: Taking taylor expansion of (exp x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.476 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 0.476 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.476 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.477 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.477 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (exp x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (exp x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.479 * [approximate]: Taking taylor expansion of (/ (- (pow (exp x) 2) 1.0) (+ (exp x) 1.0)) in (x) around 0 0.479 * [taylor]: Taking taylor expansion of (/ (- (pow (exp x) 2) 1.0) (+ (exp x) 1.0)) in x 0.479 * [taylor]: Taking taylor expansion of (- (pow (exp x) 2) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 0.479 * [taylor]: Taking taylor expansion of (exp x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (exp x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ (- (pow (exp x) 2) 1.0) (+ (exp x) 1.0)) in x 0.479 * [taylor]: Taking taylor expansion of (- (pow (exp x) 2) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (pow (exp x) 2) 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 (+ (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 (/ (- (pow (exp (/ 1 x)) 2) 1.0) (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (/ (- (pow (exp (/ 1 x)) 2) 1.0) (+ (exp (/ 1 x)) 1.0)) in x 0.481 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) 1.0) in x 0.481 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) 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 0.481 * [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 0.481 * [taylor]: Taking taylor expansion of (/ (- (pow (exp (/ 1 x)) 2) 1.0) (+ (exp (/ 1 x)) 1.0)) in x 0.481 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 x)) 2) 1.0) in x 0.481 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) 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 (+ (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 0.484 * [approximate]: Taking taylor expansion of (/ (- (pow (exp (/ -1 x)) 2) 1.0) (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (/ (- (pow (exp (/ -1 x)) 2) 1.0) (+ (exp (/ -1 x)) 1.0)) in x 0.485 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.485 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (/ (- (pow (exp (/ -1 x)) 2) 1.0) (+ (exp (/ -1 x)) 1.0)) in x 0.485 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 x)) 2) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 0.485 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * * * [progress]: simplifying candidates 0.490 * [simplify]: Simplifying using # : (/ (exp (pow (exp x) 2)) (exp (* 1.0 1.0))) (log (- (pow (exp x) 2) (* 1.0 1.0))) (exp (- (pow (exp x) 2) (* 1.0 1.0))) (* (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (* (* (- (pow (exp x) 2) (* 1.0 1.0)) (- (pow (exp x) 2) (* 1.0 1.0))) (- (pow (exp x) 2) (* 1.0 1.0))) (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (- (pow (pow (exp x) 2) 3) (pow (* 1.0 1.0) 3)) (+ (* (pow (exp x) 2) (pow (exp x) 2)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (pow (exp x) 2) (* 1.0 1.0)))) (neg (* 1.0 1.0)) (- (* (pow (exp x) 2) (pow (exp x) 2)) (* (* 1.0 1.0) (* 1.0 1.0))) (+ (pow (exp x) 2) (* 1.0 1.0)) (+ (pow (sqrt (exp x)) 2) 1.0) (- (pow (sqrt (exp x)) 2) 1.0) (+ (exp x) 1.0) (- (exp x) 1.0) (+ (sqrt (pow (exp x) 2)) 1.0) (- (sqrt (pow (exp x) 2)) 1.0) (+ (pow (exp x) (/ 2 2)) 1.0) (- (pow (exp x) (/ 2 2)) 1.0) (* x 2) (* (log (exp x)) 2) (* 1 2) (* (cbrt x) 2) (* (sqrt x) 2) (* x 2) (pow (exp x) (* (cbrt 2) (cbrt 2))) (pow (exp x) (sqrt 2)) (pow (exp x) 1) (pow (* (cbrt (exp x)) (cbrt (exp x))) 2) (pow (cbrt (exp x)) 2) (pow (sqrt (exp x)) 2) (pow (sqrt (exp x)) 2) (pow 1 2) (pow (exp x) 2) (log (pow (exp x) 2)) (exp (pow (exp x) 2)) (* (cbrt (pow (exp x) 2)) (cbrt (pow (exp x) 2))) (cbrt (pow (exp x) 2)) (* (* (pow (exp x) 2) (pow (exp x) 2)) (pow (exp x) 2)) (sqrt (pow (exp x) 2)) (sqrt (pow (exp x) 2)) (pow (exp x) (/ 2 2)) (pow (exp x) (/ 2 2)) (* (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))) (- (* (exp x) (exp x)) (* 1.0 1.0)) (- (exp x) 1.0) (+ (exp x) 1.0) (- (log (- (pow (exp x) 2) (* 1.0 1.0))) (log (+ (exp x) 1.0))) (log (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (exp (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (/ (* (* (- (pow (exp x) 2) (* 1.0 1.0)) (- (pow (exp x) 2) (* 1.0 1.0))) (- (pow (exp x) 2) (* 1.0 1.0))) (* (* (+ (exp x) 1.0) (+ (exp x) 1.0)) (+ (exp x) 1.0))) (* (cbrt (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (cbrt (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)))) (cbrt (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (* (* (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (sqrt (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (sqrt (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))) (neg (- (pow (exp x) 2) (* 1.0 1.0))) (neg (+ (exp x) 1.0)) (/ (pow (exp x) 2) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)) (/ (* (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (+ (exp x) 1.0))) (/ (* (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) (sqrt (+ (exp x) 1.0))) (/ (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (sqrt (+ (exp x) 1.0))) (/ (* (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) 1) (/ (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (+ (exp x) 1.0)) (/ (* (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) 1) (/ (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (+ (exp x) 1.0)) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (+ (exp x) 1.0))) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (sqrt (+ (exp x) 1.0))) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (sqrt (+ (exp x) 1.0))) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) 1) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (+ (exp x) 1.0)) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) 1) (/ (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (+ (exp x) 1.0)) (/ 1 (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (cbrt (+ (exp x) 1.0))) (/ 1 (sqrt (+ (exp x) 1.0))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0))) (/ 1 1) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)) (/ 1 1) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)) (/ (+ (pow (sqrt (exp x)) 2) 1.0) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (- (pow (sqrt (exp x)) 2) 1.0) (cbrt (+ (exp x) 1.0))) (/ (+ (pow (sqrt (exp x)) 2) 1.0) (sqrt (+ (exp x) 1.0))) (/ (- (pow (sqrt (exp x)) 2) 1.0) (sqrt (+ (exp x) 1.0))) (/ (+ (pow (sqrt (exp x)) 2) 1.0) 1) (/ (- (pow (sqrt (exp x)) 2) 1.0) (+ (exp x) 1.0)) (/ (+ (pow (sqrt (exp x)) 2) 1.0) 1) (/ (- (pow (sqrt (exp x)) 2) 1.0) (+ (exp x) 1.0)) (/ (+ (exp x) 1.0) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (- (exp x) 1.0) (cbrt (+ (exp x) 1.0))) (/ (+ (exp x) 1.0) (sqrt (+ (exp x) 1.0))) (/ (- (exp x) 1.0) (sqrt (+ (exp x) 1.0))) (/ (+ (exp x) 1.0) 1) (/ (- (exp x) 1.0) (+ (exp x) 1.0)) (/ (+ (exp x) 1.0) 1) (/ (- (exp x) 1.0) (+ (exp x) 1.0)) (/ (+ (sqrt (pow (exp x) 2)) 1.0) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (- (sqrt (pow (exp x) 2)) 1.0) (cbrt (+ (exp x) 1.0))) (/ (+ (sqrt (pow (exp x) 2)) 1.0) (sqrt (+ (exp x) 1.0))) (/ (- (sqrt (pow (exp x) 2)) 1.0) (sqrt (+ (exp x) 1.0))) (/ (+ (sqrt (pow (exp x) 2)) 1.0) 1) (/ (- (sqrt (pow (exp x) 2)) 1.0) (+ (exp x) 1.0)) (/ (+ (sqrt (pow (exp x) 2)) 1.0) 1) (/ (- (sqrt (pow (exp x) 2)) 1.0) (+ (exp x) 1.0)) (/ (+ (pow (exp x) (/ 2 2)) 1.0) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (- (pow (exp x) (/ 2 2)) 1.0) (cbrt (+ (exp x) 1.0))) (/ (+ (pow (exp x) (/ 2 2)) 1.0) (sqrt (+ (exp x) 1.0))) (/ (- (pow (exp x) (/ 2 2)) 1.0) (sqrt (+ (exp x) 1.0))) (/ (+ (pow (exp x) (/ 2 2)) 1.0) 1) (/ (- (pow (exp x) (/ 2 2)) 1.0) (+ (exp x) 1.0)) (/ (+ (pow (exp x) (/ 2 2)) 1.0) 1) (/ (- (pow (exp x) (/ 2 2)) 1.0) (+ (exp x) 1.0)) (/ 1 (+ (exp x) 1.0)) (/ (+ (exp x) 1.0) (- (pow (exp x) 2) (* 1.0 1.0))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) 1) (/ (- (pow (exp x) 2) (* 1.0 1.0)) 1) (/ (+ (exp x) 1.0) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) (/ (+ (exp x) 1.0) (sqrt (- (pow (exp x) 2) (* 1.0 1.0)))) (/ (+ (exp x) 1.0) (- (pow (exp x) 2) (* 1.0 1.0))) (/ (+ (exp x) 1.0) (- (pow (sqrt (exp x)) 2) 1.0)) (/ (+ (exp x) 1.0) (- (exp x) 1.0)) (/ (+ (exp x) 1.0) (- (sqrt (pow (exp x) 2)) 1.0)) (/ (+ (exp x) 1.0) (- (pow (exp x) (/ 2 2)) 1.0)) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (pow (exp x) 3) (pow 1.0 3))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (- (* (exp x) (exp x)) (* 1.0 1.0))) (* (+ (exp x) 1.0) (+ (* (pow (exp x) 2) (pow (exp x) 2)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (pow (exp x) 2) (* 1.0 1.0))))) (* (+ (exp x) 1.0) (+ (pow (exp x) 2) (* 1.0 1.0))) (+ (* 2 (pow x 2)) (+ (* 4/3 (pow x 3)) (* 2 x))) (- (pow (exp x) 2) 1.0) (- (pow (exp x) 2) 1.0) (+ (* 2 (pow x 2)) (+ (* 2 x) 1)) (pow (exp x) 2) (pow (exp x) 2) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) (+ (* 0.5 (pow x 2)) (+ (* 0.16666666666666663 (pow x 3)) (* 1.0 x))) (/ (- (pow (exp x) 2) 1.0) (+ (exp x) 1.0)) (/ (- (pow (exp x) 2) 1.0) (+ (exp x) 1.0)) 0.527 * * [simplify]: iteration 0 : 5189 enodes (cost 1315 ) 0.532 * [simplify]: Simplified to: (exp (- (pow (exp x) 2) (* 1.0 1.0))) (log (- (pow (exp x) 2) (* 1.0 1.0))) (exp (- (pow (exp x) 2) (* 1.0 1.0))) (* (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) (cbrt (- (pow (exp x) 2) (* 1.0 1.0))) (pow (- (pow (exp x) 2) (* 1.0 1.0)) 3) (sqrt (- (pow (exp x) 2) (* 1.0 1.0))) (sqrt (- (pow (exp x) 2) (* 1.0 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x) 1.0)) (+ (exp x) 1.0) (/ (- (exp x) 1.0) (+ (exp x) 1.0)) (/ 1 (+ (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (* (cbrt (+ (exp x) 1.0)) (cbrt (+ (exp x) 1.0)))) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0))) (- (pow (exp x) 2) (* 1.0 1.0)) (- (pow (exp x) 2) (* 1.0 1.0)) (/ (+ (exp x) 1.0) (cbrt (- (pow (exp x) 2) (* 1.0 1.0)))) (/ (+ (exp x) 1.0) (sqrt (- (pow (exp x) 2) (* 1.0 1.0)))) (/ 1 (- (exp x) 1.0)) (/ (+ (exp x) 1.0) (- (exp x) 1.0)) (/ (+ (exp x) 1.0) (- (exp x) 1.0)) (/ (+ (exp x) 1.0) (- (fabs (exp x)) 1.0)) (/ (+ (exp x) 1.0) (- (exp x) 1.0)) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (pow (exp x) 3) (pow 1.0 3))) 1 (* (+ (pow (exp x) 4) (+ (pow 1.0 4) (* (pow (exp x) 2) (* 1.0 1.0)))) (+ (exp x) 1.0)) (* (+ (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)) (+ x (+ x (* (* x x) (+ 2 (* x 4/3))))) (- (pow (exp x) 2) 1.0) (- (pow (exp x) 2) 1.0) (+ 1 (* x (+ 2 (+ x x)))) (pow (exp x) 2) (pow (exp x) 2) (+ x (+ (* x (* x 1/2)) 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) (+ (* (pow x 3) 0.16666666666666663) (* x (+ (* x 0.5) 1.0))) (/ (- (pow (exp x) 2) 1.0) (+ (exp x) 1.0)) (/ (- (pow (exp x) 2) 1.0) (+ (exp x) 1.0)) 0.533 * * * [progress]: adding candidates to table 0.654 * [progress]: [Phase 3 of 3] Extracting. 0.655 * * [regime]: Finding splitpoints for: (# # # #) 0.655 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (- (exp x) 1.0) x) 0.655 * * * * [regimes]: Trying to branch on (exp x) from (# # # #) 0.681 * * * * [regimes]: Trying to branch on (exp x) from (# #) 0.704 * * * * [regimes]: Trying to branch on (- (exp x) 1.0) from (# # # #) 0.731 * * * * [regimes]: Trying to branch on x from (# # # #) 0.761 * * * [regime]: Found split indices: #