26.915 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.071 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying using # : (- (log (+ 1.0 (exp x))) (* x y)) 0.076 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.077 * * [simplify]: iteration 1 : 19 enodes (cost 5 ) 0.078 * * [simplify]: iteration 2 : 19 enodes (cost 5 ) 0.078 * [simplify]: Simplified to: (- (log (+ 1.0 (exp x))) (* x y)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.080 * * * * [pick]: Picked # 0.080 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.094 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.100 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.104 * [approximate]: Taking taylor expansion of (log (+ (exp x) 1.0)) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.104 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.104 * [taylor]: Taking taylor expansion of (exp x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.105 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.105 * [taylor]: Taking taylor expansion of (exp x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [approximate]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.121 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.121 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.122 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.122 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.141 * [taylor]: Taking taylor expansion of -1 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.161 * [approximate]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in y 0.161 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in y 0.161 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in y 0.161 * [taylor]: Taking taylor expansion of (exp x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of 1.0 in y 0.162 * [taylor]: Taking taylor expansion of (* x y) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.162 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (exp x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (* x y) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (- (log (+ (exp x) 1.0)) (* x y)) in x 0.162 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (exp x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (* x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (log 2.0) in y 0.164 * [taylor]: Taking taylor expansion of 2.0 in y 0.173 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 0.173 * [taylor]: Taking taylor expansion of 0.5 in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (- 0.25 (* 1/2 (/ 1 (pow 2.0 2)))) in y 0.185 * [taylor]: Taking taylor expansion of 0.25 in y 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow 2.0 2))) in y 0.185 * [taylor]: Taking taylor expansion of 1/2 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow 2.0 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 0.185 * [taylor]: Taking taylor expansion of 2.0 in y 0.187 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in y 0.187 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.187 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.187 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of 1.0 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.187 * [taylor]: Taking taylor expansion of (* x y) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.188 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.188 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.188 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.188 * [taylor]: Taking taylor expansion of (* x y) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1.0)) (/ 1 (* x y))) in x 0.189 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 0.189 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.189 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.189 * [taylor]: Taking taylor expansion of (* x y) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in y 0.191 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in y 0.191 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of 1.0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [approximate]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in y 0.203 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.203 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.203 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.203 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.203 * [taylor]: Taking taylor expansion of -1 in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of 1.0 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.203 * [taylor]: Taking taylor expansion of (* x y) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.204 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.204 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.204 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.204 * [taylor]: Taking taylor expansion of -1 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.204 * [taylor]: Taking taylor expansion of (* x y) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1.0)) (/ 1 (* x y))) in x 0.205 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 0.205 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.205 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.205 * [taylor]: Taking taylor expansion of -1 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in y 0.207 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in y 0.207 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.207 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.207 * [taylor]: Taking taylor expansion of -1 in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of 1.0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.219 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.219 * [taylor]: Taking taylor expansion of (exp x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.219 * [taylor]: Taking taylor expansion of (exp x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.221 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.222 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * * * [progress]: simplifying candidates 0.227 * [simplify]: Simplifying using # : (log (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) (log 1) (log (+ 1.0 (exp x))) (log 1) (log (+ 1.0 (exp x))) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))) (log (+ 1.0 (exp x))) (log (log (+ 1.0 (exp x)))) (exp (log (+ 1.0 (exp x)))) (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))) (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (/ (+ 1.0 (exp x)) (exp (* x y))) (log (- (log (+ 1.0 (exp x))) (* x y))) (exp (- (log (+ 1.0 (exp x))) (* x y))) (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (* (* (- (log (+ 1.0 (exp x))) (* x y)) (- (log (+ 1.0 (exp x))) (* x y))) (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (+ (* (* x y) (* x y)) (* (log (+ 1.0 (exp x))) (* x y)))) (- (* x y)) (- (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1.0 (exp x))) (* x y)) (- (log (cbrt (+ 1.0 (exp x)))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (- (log (+ 1.0 (exp x))) (* x y)) (- (log (+ 1.0 (exp x))) (* x y)) (+ (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (* x y)) (+ (log (- 1.0 (exp x))) (* x y)) (- (* x y)) (* (exp 1.0) (exp (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (* (* (+ 1.0 (exp x)) (+ 1.0 (exp x))) (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) 0.231 * * [simplify]: iteration 0 : 207 enodes (cost 322 ) 0.234 * * [simplify]: iteration 1 : 584 enodes (cost 301 ) 0.243 * * [simplify]: iteration 2 : 1729 enodes (cost 298 ) 0.270 * * [simplify]: iteration 3 : 5001 enodes (cost 297 ) 0.272 * [simplify]: Simplified to: (* 2 (log (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x)))) 0 (log (+ (exp x) 1.0)) 0 (log (+ (exp x) 1.0)) (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))) (log (+ (exp x) 1.0)) (log (log (+ 1.0 (exp x)))) (+ 1.0 (exp x)) (* (cbrt (log (+ 1.0 (exp x)))) (cbrt (log (+ 1.0 (exp x))))) (cbrt (log (+ 1.0 (exp x)))) (pow (log (+ 1.0 (exp x))) 3) (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))) (/ (+ 1.0 (exp x)) (exp (* x y))) (log (- (log (+ 1.0 (exp x))) (* x y))) (/ (+ 1.0 (exp x)) (exp (* x y))) (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (pow (- (log (+ (exp x) 1.0)) (* x y)) 3) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (sqrt (- (log (+ 1.0 (exp x))) (* x y))) (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))) (- (* x y)) (- (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (* (* x y) (* x y))) (+ (log (+ 1.0 (exp x))) (* x y)) (- (log (cbrt (+ 1.0 (exp x)))) (* x y)) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (+ (log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))) (* x y)) (+ (log (- 1.0 (exp x))) (* x y)) (- (* x y)) (exp (+ 1.0 (exp x))) (log (+ (exp x) 1.0)) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (pow (+ 1.0 (exp x)) 3) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (- (log (+ (exp x) 1.0)) (* x y)) (- (log (+ (exp x) 1.0)) (* x y)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) 0.273 * * * [progress]: adding candidates to table 0.375 * * [progress]: iteration 2 / 4 0.375 * * * [progress]: picking best candidate 0.379 * * * * [pick]: Picked # 0.379 * * * [progress]: localizing error 0.388 * * * [progress]: generating rewritten candidates 0.388 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.396 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.400 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.405 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.405 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.405 * [taylor]: Taking taylor expansion of (exp x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (exp x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.456 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.456 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.479 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 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 0.480 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.480 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.480 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.502 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.502 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.502 * [taylor]: Taking taylor expansion of (exp x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.510 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (exp x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.554 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.554 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.554 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.555 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.555 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.577 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.577 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.577 * [taylor]: Taking taylor expansion of -1 in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.578 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.578 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 0.606 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.606 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.606 * [taylor]: Taking taylor expansion of (exp x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.606 * [taylor]: Taking taylor expansion of (exp x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.609 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.611 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.611 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.613 * [approximate]: Taking taylor expansion of (+ (exp x) 1.0) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.613 * [taylor]: Taking taylor expansion of (exp x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.613 * [taylor]: Taking taylor expansion of (exp x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.616 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.616 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.618 * [taylor]: Taking taylor expansion of -1 in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.618 * [taylor]: Taking taylor expansion of -1 in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * * * [progress]: simplifying candidates 0.621 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log 1) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (exp (log (sqrt (+ 1.0 (exp x))))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (* (* (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (log (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log 1) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (exp (log (sqrt (+ 1.0 (exp x))))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (* (* (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (* (exp 1.0) (exp (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (* (* (+ 1.0 (exp x)) (+ 1.0 (exp x))) (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (* (exp 1.0) (exp (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (* (* (+ 1.0 (exp x)) (+ 1.0 (exp x))) (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (* 1/2 (/ x (pow (sqrt 2.0) 2))) (log (sqrt 2.0)))) (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (* 1/2 (/ x (pow (sqrt 2.0) 2))) (log (sqrt 2.0)))) (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (exp x) 1.0) (+ (exp x) 1.0) 0.625 * * [simplify]: iteration 0 : 155 enodes (cost 476 ) 0.628 * * [simplify]: iteration 1 : 390 enodes (cost 434 ) 0.634 * * [simplify]: iteration 2 : 1073 enodes (cost 422 ) 0.657 * * [simplify]: iteration 3 : 5002 enodes (cost 414 ) 0.660 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ (exp x) 1.0))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (sqrt (+ 1.0 (exp x))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (pow (log (sqrt (+ (exp x) 1.0))) 3) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (* 2 (log (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ (exp x) 1.0))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (sqrt (+ 1.0 (exp x))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (pow (log (sqrt (+ (exp x) 1.0))) 3) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (exp (+ 1.0 (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (pow (+ 1.0 (exp x)) 3) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (exp (+ 1.0 (exp x))) (log (+ 1.0 (exp x))) (exp (+ 1.0 (exp x))) (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))) (cbrt (+ 1.0 (exp x))) (pow (+ 1.0 (exp x)) 3) (sqrt (+ 1.0 (exp x))) (sqrt (+ 1.0 (exp x))) (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (exp x) (exp x))) (- 1.0 (exp x)) (+ 1.0 (exp x)) (+ (log (sqrt 2.0)) (+ (/ (* x 1/2) 2.0) (* (/ x (/ 2.0 x)) (- 1/4 (/ 1/4 2.0))))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (+ (log (sqrt 2.0)) (+ (/ (* x 1/2) 2.0) (* (/ x (/ 2.0 x)) (- 1/4 (/ 1/4 2.0))))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ 1.0 (exp x)) (+ 1.0 (exp x)) 0.660 * * * [progress]: adding candidates to table 0.835 * * [progress]: iteration 3 / 4 0.835 * * * [progress]: picking best candidate 0.839 * * * * [pick]: Picked # 0.839 * * * [progress]: localizing error 0.852 * * * [progress]: generating rewritten candidates 0.852 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.866 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.875 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.885 * * * [progress]: generating series expansions 0.885 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.885 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.885 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.885 * [taylor]: Taking taylor expansion of (exp x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp x) 1.0))) in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1.0)) in x 0.888 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.888 * [taylor]: Taking taylor expansion of (exp x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ 1 x)) 1.0))) in x 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 0.938 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [approximate]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.960 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.960 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.960 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.960 * [taylor]: Taking taylor expansion of -1 in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [taylor]: Taking taylor expansion of (log (sqrt (+ (exp (/ -1 x)) 1.0))) in x 0.961 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1.0)) in x 0.961 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 0.961 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.961 * [taylor]: Taking taylor expansion of -1 in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.984 * [approximate]: Taking taylor expansion of (log (pow (+ (exp x) 1.0) 1/4)) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (log (pow (+ (exp x) 1.0) 1/4)) in x 0.984 * [taylor]: Taking taylor expansion of (pow (+ (exp x) 1.0) 1/4) in x 0.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp x) 1.0)))) in x 0.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp x) 1.0))) in x 0.984 * [taylor]: Taking taylor expansion of 1/4 in x 0.984 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.984 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.984 * [taylor]: Taking taylor expansion of (exp x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [taylor]: Taking taylor expansion of (log (pow (+ (exp x) 1.0) 1/4)) in x 0.987 * [taylor]: Taking taylor expansion of (pow (+ (exp x) 1.0) 1/4) in x 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp x) 1.0)))) in x 0.987 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp x) 1.0))) in x 0.987 * [taylor]: Taking taylor expansion of 1/4 in x 0.987 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 0.987 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 0.987 * [taylor]: Taking taylor expansion of (exp x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [approximate]: Taking taylor expansion of (log (pow (+ (exp (/ 1 x)) 1.0) 1/4)) in (x) around 0 1.061 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ 1 x)) 1.0) 1/4)) in x 1.061 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) 1.0) 1/4) in x 1.061 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ 1 x)) 1.0)))) in x 1.061 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ 1 x)) 1.0))) in x 1.061 * [taylor]: Taking taylor expansion of 1/4 in x 1.061 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 1.061 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.061 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ 1 x)) 1.0) 1/4)) in x 1.062 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) 1.0) 1/4) in x 1.062 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ 1 x)) 1.0)))) in x 1.062 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ 1 x)) 1.0))) in x 1.062 * [taylor]: Taking taylor expansion of 1/4 in x 1.062 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 1.062 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.062 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [approximate]: Taking taylor expansion of (log (pow (+ (exp (/ -1 x)) 1.0) 1/4)) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ -1 x)) 1.0) 1/4)) in x 1.121 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 x)) 1.0) 1/4) in x 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ -1 x)) 1.0)))) in x 1.121 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ -1 x)) 1.0))) in x 1.121 * [taylor]: Taking taylor expansion of 1/4 in x 1.121 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 1.121 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.121 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.121 * [taylor]: Taking taylor expansion of -1 in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ -1 x)) 1.0) 1/4)) in x 1.121 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 x)) 1.0) 1/4) in x 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ -1 x)) 1.0)))) in x 1.121 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ -1 x)) 1.0))) in x 1.122 * [taylor]: Taking taylor expansion of 1/4 in x 1.122 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 1.122 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.122 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.122 * [taylor]: Taking taylor expansion of -1 in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.180 * [approximate]: Taking taylor expansion of (log (pow (+ (exp x) 1.0) 1/4)) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (log (pow (+ (exp x) 1.0) 1/4)) in x 1.180 * [taylor]: Taking taylor expansion of (pow (+ (exp x) 1.0) 1/4) in x 1.180 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp x) 1.0)))) in x 1.180 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp x) 1.0))) in x 1.180 * [taylor]: Taking taylor expansion of 1/4 in x 1.180 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 1.180 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.180 * [taylor]: Taking taylor expansion of (exp x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of (log (pow (+ (exp x) 1.0) 1/4)) in x 1.182 * [taylor]: Taking taylor expansion of (pow (+ (exp x) 1.0) 1/4) in x 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp x) 1.0)))) in x 1.182 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp x) 1.0))) in x 1.182 * [taylor]: Taking taylor expansion of 1/4 in x 1.182 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 1.183 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.183 * [taylor]: Taking taylor expansion of (exp x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [approximate]: Taking taylor expansion of (log (pow (+ (exp (/ 1 x)) 1.0) 1/4)) in (x) around 0 1.255 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ 1 x)) 1.0) 1/4)) in x 1.256 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) 1.0) 1/4) in x 1.256 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ 1 x)) 1.0)))) in x 1.256 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ 1 x)) 1.0))) in x 1.256 * [taylor]: Taking taylor expansion of 1/4 in x 1.256 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.256 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ 1 x)) 1.0) 1/4)) in x 1.256 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) 1.0) 1/4) in x 1.256 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ 1 x)) 1.0)))) in x 1.256 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ 1 x)) 1.0))) in x 1.256 * [taylor]: Taking taylor expansion of 1/4 in x 1.256 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.256 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.308 * [approximate]: Taking taylor expansion of (log (pow (+ (exp (/ -1 x)) 1.0) 1/4)) in (x) around 0 1.308 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ -1 x)) 1.0) 1/4)) in x 1.308 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 x)) 1.0) 1/4) in x 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ -1 x)) 1.0)))) in x 1.308 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ -1 x)) 1.0))) in x 1.308 * [taylor]: Taking taylor expansion of 1/4 in x 1.308 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 1.308 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.308 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.309 * [taylor]: Taking taylor expansion of -1 in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ -1 x)) 1.0) 1/4)) in x 1.309 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 x)) 1.0) 1/4) in x 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ -1 x)) 1.0)))) in x 1.309 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ -1 x)) 1.0))) in x 1.309 * [taylor]: Taking taylor expansion of 1/4 in x 1.309 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 1.309 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.309 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.309 * [taylor]: Taking taylor expansion of -1 in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.368 * [approximate]: Taking taylor expansion of (pow (+ (exp x) 1.0) 1/4) in (x) around 0 1.368 * [taylor]: Taking taylor expansion of (pow (+ (exp x) 1.0) 1/4) in x 1.368 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp x) 1.0)))) in x 1.368 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp x) 1.0))) in x 1.368 * [taylor]: Taking taylor expansion of 1/4 in x 1.368 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 1.368 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.368 * [taylor]: Taking taylor expansion of (exp x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (pow (+ (exp x) 1.0) 1/4) in x 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp x) 1.0)))) in x 1.370 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp x) 1.0))) in x 1.370 * [taylor]: Taking taylor expansion of 1/4 in x 1.370 * [taylor]: Taking taylor expansion of (log (+ (exp x) 1.0)) in x 1.370 * [taylor]: Taking taylor expansion of (+ (exp x) 1.0) in x 1.370 * [taylor]: Taking taylor expansion of (exp x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.414 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) 1.0) 1/4) in (x) around 0 1.414 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) 1.0) 1/4) in x 1.414 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ 1 x)) 1.0)))) in x 1.414 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ 1 x)) 1.0))) in x 1.414 * [taylor]: Taking taylor expansion of 1/4 in x 1.414 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 1.414 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.414 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) 1.0) 1/4) in x 1.415 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ 1 x)) 1.0)))) in x 1.415 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ 1 x)) 1.0))) in x 1.415 * [taylor]: Taking taylor expansion of 1/4 in x 1.415 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1.0)) in x 1.415 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1.0) in x 1.415 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 x)) 1.0) 1/4) in (x) around 0 1.452 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 x)) 1.0) 1/4) in x 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ -1 x)) 1.0)))) in x 1.452 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ -1 x)) 1.0))) in x 1.452 * [taylor]: Taking taylor expansion of 1/4 in x 1.452 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 1.452 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.452 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.452 * [taylor]: Taking taylor expansion of -1 in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 x)) 1.0) 1/4) in x 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (/ -1 x)) 1.0)))) in x 1.453 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (exp (/ -1 x)) 1.0))) in x 1.453 * [taylor]: Taking taylor expansion of 1/4 in x 1.453 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1.0)) in x 1.453 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1.0) in x 1.453 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * * * [progress]: simplifying candidates 1.489 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log 1) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (sqrt (+ 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (log (sqrt (+ 1.0 (exp x))))) (exp (log (sqrt (+ 1.0 (exp x))))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (* (* (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (log (* (cbrt (sqrt (sqrt (+ 1.0 (exp x))))) (cbrt (sqrt (sqrt (+ 1.0 (exp x))))))) (log (cbrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x))))))) (log (sqrt (cbrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))))) (log (sqrt (sqrt (cbrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt 1)) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log 1) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))) (log (sqrt (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (sqrt (sqrt (- (* 1.0 1.0) (* (exp x) (exp x)))))) (log (sqrt (sqrt (- 1.0 (exp x))))) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (+ 1.0 (exp x))) (log (sqrt (+ 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (log (sqrt (sqrt (+ 1.0 (exp x)))))) (exp (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x))))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* (* (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (log (* (cbrt (sqrt (sqrt (+ 1.0 (exp x))))) (cbrt (sqrt (sqrt (+ 1.0 (exp x))))))) (log (cbrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x))))))) (log (sqrt (cbrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))))) (log (sqrt (sqrt (cbrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt 1)) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log 1) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))) (log (sqrt (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (sqrt (sqrt (- (* 1.0 1.0) (* (exp x) (exp x)))))) (log (sqrt (sqrt (- 1.0 (exp x))))) (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (+ 1.0 (exp x))) (log (sqrt (+ 1.0 (exp x)))) (log (+ 1.0 (exp x))) (log (log (sqrt (sqrt (+ 1.0 (exp x)))))) (exp (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x))))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* (* (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (exp (sqrt (sqrt (+ 1.0 (exp x))))) (* (cbrt (sqrt (sqrt (+ 1.0 (exp x))))) (cbrt (sqrt (sqrt (+ 1.0 (exp x)))))) (cbrt (sqrt (sqrt (+ 1.0 (exp x))))) (* (* (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x)))))) (sqrt (cbrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (sqrt (sqrt (cbrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt 1) (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (sqrt (sqrt (- 1.0 (exp x)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 2))) (+ (* 1/2 (/ x (pow (sqrt 2.0) 2))) (log (sqrt 2.0)))) (* 1/4 (/ (pow x 2) (pow (sqrt 2.0) 4)))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (- (+ (* 0.0703125 (pow x 2)) (+ (log (pow 2.0 1/4)) (* 0.125 x))) (+ (* 0.0078125 (* (pow x 2) (* (sqrt 2.0) (sqrt 0.5)))) (* 1/8 (/ (pow x 2) (pow 2.0 2))))) (log (pow (+ (exp x) 1.0) 1/4)) (log (pow (+ (exp x) 1.0) 1/4)) (- (+ (* 0.0703125 (pow x 2)) (+ (log (pow 2.0 1/4)) (* 0.125 x))) (+ (* 0.0078125 (* (pow x 2) (* (sqrt 2.0) (sqrt 0.5)))) (* 1/8 (/ (pow x 2) (pow 2.0 2))))) (log (pow (+ (exp x) 1.0) 1/4)) (log (pow (+ (exp x) 1.0) 1/4)) (- (+ (pow 2.0 1/4) (+ (* 0.125 (* x (pow 2.0 1/4))) (* 0.0703125 (* (pow x 2) (pow 2.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 2.0 7)) 1/4)))) (pow (+ (exp x) 1.0) 1/4) (pow (+ (exp x) 1.0) 1/4) 1.501 * * [simplify]: iteration 0 : 263 enodes (cost 835 ) 1.507 * * [simplify]: iteration 1 : 798 enodes (cost 780 ) 1.521 * * [simplify]: iteration 2 : 3061 enodes (cost 769 ) 1.595 * * [simplify]: iteration 3 : 5001 enodes (cost 744 ) 1.600 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (+ 1.0 (exp x)))))) (log (cbrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (log (sqrt (cbrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (log (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (log (sqrt (- 1.0 (exp x)))) (log (+ (exp x) 1.0)) (log (sqrt (+ (exp x) 1.0))) (log (+ (exp x) 1.0)) (log (log (sqrt (+ 1.0 (exp x))))) (sqrt (+ 1.0 (exp x))) (* (cbrt (log (sqrt (+ 1.0 (exp x))))) (cbrt (log (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (+ 1.0 (exp x))))) (pow (log (sqrt (+ (exp x) 1.0))) 3) (sqrt (log (sqrt (+ 1.0 (exp x))))) (sqrt (log (sqrt (+ 1.0 (exp x))))) (* 2 (log (cbrt (sqrt (sqrt (+ 1.0 (exp x))))))) (log (cbrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x))))))) (log (sqrt (cbrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))))) (log (sqrt (sqrt (cbrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))) (log (sqrt (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (sqrt (sqrt (- (* 1.0 1.0) (* (exp x) (exp x)))))) (log (sqrt (sqrt (- 1.0 (exp x))))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (+ (exp x) 1.0)) (log (sqrt (+ (exp x) 1.0))) (log (+ (exp x) 1.0)) (log (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (sqrt (+ 1.0 (exp x)))) (* (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x))))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (pow (log (sqrt (sqrt (+ 1.0 (exp x))))) 3) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* 2 (log (cbrt (sqrt (sqrt (+ 1.0 (exp x))))))) (log (cbrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (* (cbrt (sqrt (+ 1.0 (exp x)))) (cbrt (sqrt (+ 1.0 (exp x))))))) (log (sqrt (cbrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x))))))) (log (sqrt (sqrt (cbrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (sqrt (+ 1.0 (exp x)))))) 0 (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))) (log (sqrt (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))) (log (sqrt (sqrt (- (* 1.0 1.0) (* (exp x) (exp x)))))) (log (sqrt (sqrt (- 1.0 (exp x))))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (+ (exp x) 1.0)) (log (sqrt (+ (exp x) 1.0))) (log (+ (exp x) 1.0)) (log (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (sqrt (+ 1.0 (exp x)))) (* (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x))))))) (cbrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (pow (log (sqrt (sqrt (+ 1.0 (exp x))))) 3) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (sqrt (log (sqrt (sqrt (+ 1.0 (exp x)))))) (log (sqrt (sqrt (+ 1.0 (exp x))))) (exp (sqrt (sqrt (+ 1.0 (exp x))))) (* (cbrt (sqrt (sqrt (+ 1.0 (exp x))))) (cbrt (sqrt (sqrt (+ 1.0 (exp x)))))) (cbrt (sqrt (sqrt (+ 1.0 (exp x))))) (pow (sqrt (sqrt (+ 1.0 (exp x)))) 3) (fabs (cbrt (sqrt (+ 1.0 (exp x))))) (sqrt (cbrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (* (cbrt (+ 1.0 (exp x))) (cbrt (+ 1.0 (exp x)))))) (sqrt (sqrt (cbrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) 1 (sqrt (sqrt (+ 1.0 (exp x)))) 1 (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) 1 (sqrt (sqrt (+ 1.0 (exp x)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (exp x) 3)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (exp x) (exp x))))) (sqrt (sqrt (- 1.0 (exp x)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (sqrt (sqrt (sqrt (+ 1.0 (exp x))))) (+ (log (sqrt 2.0)) (+ (/ (* 1/2 x) 2.0) (* (/ x (/ 2.0 x)) (- 1/4 (/ 1/4 2.0))))) (log (sqrt (+ (exp x) 1.0))) (log (sqrt (+ (exp x) 1.0))) (+ (- (* (pow x 2) (- 0.0703125 (* (* (sqrt 2.0) (sqrt 0.5)) 0.0078125))) (* 1/8 (/ (pow x 2) (pow 2.0 2)))) (+ (log (pow 2.0 1/4)) (* 0.125 x))) (log (pow (+ (exp x) 1.0) 1/4)) (log (pow (+ (exp x) 1.0) 1/4)) (+ (- (* (pow x 2) (- 0.0703125 (* (* (sqrt 2.0) (sqrt 0.5)) 0.0078125))) (* 1/8 (/ (pow x 2) (pow 2.0 2)))) (+ (log (pow 2.0 1/4)) (* 0.125 x))) (log (pow (+ (exp x) 1.0) 1/4)) (log (pow (+ (exp x) 1.0) 1/4)) (+ (* (pow x 2) (- (* 0.0703125 (pow 2.0 1/4)) (* (pow (/ 1 (pow 2.0 7)) 1/4) 1/8))) (* (+ (* 0.125 x) 1) (pow 2.0 1/4))) (pow (+ (exp x) 1.0) 1/4) (pow (+ (exp x) 1.0) 1/4) 1.600 * * * [progress]: adding candidates to table 1.913 * * [progress]: iteration 4 / 4 1.913 * * * [progress]: picking best candidate 1.915 * * * * [pick]: Picked # 1.915 * * * [progress]: localizing error 1.926 * * * [progress]: generating rewritten candidates 1.926 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.932 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.939 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.955 * * * [progress]: generating series expansions 1.955 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.956 * [approximate]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) in (x) around 0 1.956 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) in x 1.956 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in x 1.956 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.956 * [taylor]: Taking taylor expansion of 1/2 in x 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of 2.0 in x 1.957 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) in x 1.957 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in x 1.957 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 1.957 * [taylor]: Taking taylor expansion of 1/2 in x 1.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of 2.0 in x 1.973 * [approximate]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) in (x) around 0 1.973 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) in x 1.973 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in x 1.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.973 * [taylor]: Taking taylor expansion of 1/2 in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of 2.0 in x 1.974 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) in x 1.974 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in x 1.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.974 * [taylor]: Taking taylor expansion of 1/2 in x 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of 2.0 in x 1.992 * [approximate]: Taking taylor expansion of (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) in (x) around 0 1.992 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) in x 1.992 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in x 1.992 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2.0) in x 1.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.992 * [taylor]: Taking taylor expansion of 1/2 in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of 2.0 in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) in x 1.994 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in x 1.994 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2.0) in x 1.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 1.994 * [taylor]: Taking taylor expansion of 1/2 in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.995 * [taylor]: Taking taylor expansion of 2.0 in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 2.008 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.009 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in (x) around 0 2.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in x 2.009 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.009 * [taylor]: Taking taylor expansion of 1/2 in x 2.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of 2.0 in x 2.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in x 2.009 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.009 * [taylor]: Taking taylor expansion of 1/2 in x 2.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of 2.0 in x 2.011 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in (x) around 0 2.011 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in x 2.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.011 * [taylor]: Taking taylor expansion of 1/2 in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of 2.0 in x 2.012 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in x 2.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.012 * [taylor]: Taking taylor expansion of 1/2 in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of 2.0 in x 2.018 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in (x) around 0 2.018 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in x 2.018 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2.0) in x 2.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.018 * [taylor]: Taking taylor expansion of 1/2 in x 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.018 * [taylor]: Taking taylor expansion of 2.0 in x 2.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in x 2.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2.0) in x 2.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.019 * [taylor]: Taking taylor expansion of 1/2 in x 2.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of 2.0 in x 2.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.025 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.025 * [approximate]: Taking taylor expansion of (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) in (x y) around 0 2.025 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) in y 2.025 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) in y 2.025 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in y 2.025 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in y 2.025 * [taylor]: Taking taylor expansion of 1/2 in y 2.025 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.025 * [taylor]: Taking taylor expansion of x in y 2.025 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 2.025 * [taylor]: Taking taylor expansion of x in y 2.025 * [taylor]: Taking taylor expansion of 2.0 in y 2.025 * [taylor]: Taking taylor expansion of (* x y) in y 2.025 * [taylor]: Taking taylor expansion of x in y 2.025 * [taylor]: Taking taylor expansion of y in y 2.025 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) in x 2.025 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) in x 2.025 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in x 2.025 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.025 * [taylor]: Taking taylor expansion of 1/2 in x 2.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of 2.0 in x 2.026 * [taylor]: Taking taylor expansion of (* x y) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) in x 2.026 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) in x 2.026 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ x 2.0)) in x 2.026 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.026 * [taylor]: Taking taylor expansion of 1/2 in x 2.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of 2.0 in x 2.027 * [taylor]: Taking taylor expansion of (* x y) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.028 * [taylor]: Taking taylor expansion of (log 2.0) in y 2.028 * [taylor]: Taking taylor expansion of 2.0 in y 2.032 * [taylor]: Taking taylor expansion of (- 0.5 y) in y 2.032 * [taylor]: Taking taylor expansion of 0.5 in y 2.032 * [taylor]: Taking taylor expansion of y in y 2.044 * [taylor]: Taking taylor expansion of (- 0.25 (* 1/2 (/ 1 (pow 2.0 2)))) in y 2.044 * [taylor]: Taking taylor expansion of 0.25 in y 2.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow 2.0 2))) in y 2.044 * [taylor]: Taking taylor expansion of 1/2 in y 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow 2.0 2)) in y 2.044 * [taylor]: Taking taylor expansion of (pow 2.0 2) in y 2.044 * [taylor]: Taking taylor expansion of 2.0 in y 2.046 * [approximate]: Taking taylor expansion of (- (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) (/ 1 (* x y))) in (x y) around 0 2.046 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) (/ 1 (* x y))) in y 2.046 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) in y 2.046 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in y 2.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in y 2.046 * [taylor]: Taking taylor expansion of 1/2 in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.046 * [taylor]: Taking taylor expansion of x in y 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.046 * [taylor]: Taking taylor expansion of x in y 2.046 * [taylor]: Taking taylor expansion of 2.0 in y 2.047 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.047 * [taylor]: Taking taylor expansion of (* x y) in y 2.047 * [taylor]: Taking taylor expansion of x in y 2.047 * [taylor]: Taking taylor expansion of y in y 2.047 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) (/ 1 (* x y))) in x 2.047 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) in x 2.047 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in x 2.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.047 * [taylor]: Taking taylor expansion of 1/2 in x 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of 2.0 in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.049 * [taylor]: Taking taylor expansion of (* x y) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of y in x 2.049 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) (/ 1 (* x y))) in x 2.049 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0))) in x 2.049 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2.0)) in x 2.049 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.049 * [taylor]: Taking taylor expansion of 1/2 in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of 2.0 in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.051 * [taylor]: Taking taylor expansion of (* x y) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of y in x 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.052 * [taylor]: Taking taylor expansion of y in y 2.054 * [taylor]: Taking taylor expansion of (- (log 1/2) (* 2 (log x))) in y 2.054 * [taylor]: Taking taylor expansion of (log 1/2) in y 2.054 * [taylor]: Taking taylor expansion of 1/2 in y 2.054 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 2.054 * [taylor]: Taking taylor expansion of 2 in y 2.054 * [taylor]: Taking taylor expansion of (log x) in y 2.054 * [taylor]: Taking taylor expansion of x in y 2.058 * [taylor]: Taking taylor expansion of 2 in y 2.074 * [taylor]: Taking taylor expansion of 2.0 in y 2.075 * [approximate]: Taking taylor expansion of (- (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) (/ 1 (* x y))) in (x y) around 0 2.075 * [taylor]: Taking taylor expansion of (- (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) (/ 1 (* x y))) in y 2.075 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) in y 2.075 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in y 2.075 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2.0) in y 2.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in y 2.075 * [taylor]: Taking taylor expansion of 1/2 in y 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.075 * [taylor]: Taking taylor expansion of x in y 2.075 * [taylor]: Taking taylor expansion of 2.0 in y 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.075 * [taylor]: Taking taylor expansion of x in y 2.076 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.076 * [taylor]: Taking taylor expansion of (* x y) in y 2.076 * [taylor]: Taking taylor expansion of x in y 2.076 * [taylor]: Taking taylor expansion of y in y 2.076 * [taylor]: Taking taylor expansion of (- (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) (/ 1 (* x y))) in x 2.076 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) in x 2.076 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in x 2.076 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2.0) in x 2.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.076 * [taylor]: Taking taylor expansion of 1/2 in x 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of 2.0 in x 2.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.078 * [taylor]: Taking taylor expansion of (* x y) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of y in x 2.078 * [taylor]: Taking taylor expansion of (- (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) (/ 1 (* x y))) in x 2.078 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x))) in x 2.078 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 2.0) (/ 1 x)) in x 2.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2.0) in x 2.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 2.078 * [taylor]: Taking taylor expansion of 1/2 in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of 2.0 in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.080 * [taylor]: Taking taylor expansion of (* x y) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of y in x 2.081 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.081 * [taylor]: Taking taylor expansion of y in y 2.083 * [taylor]: Taking taylor expansion of (- (log 1/2) (* 2 (log x))) in y 2.083 * [taylor]: Taking taylor expansion of (log 1/2) in y 2.083 * [taylor]: Taking taylor expansion of 1/2 in y 2.083 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 2.083 * [taylor]: Taking taylor expansion of 2 in y 2.083 * [taylor]: Taking taylor expansion of (log x) in y 2.083 * [taylor]: Taking taylor expansion of x in y 2.087 * [taylor]: Taking taylor expansion of -2 in y 2.099 * [taylor]: Taking taylor expansion of 2.0 in y 2.099 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.099 * [approximate]: Taking taylor expansion of (* 1/2 (pow x 2)) in (x) around 0 2.099 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.099 * [taylor]: Taking taylor expansion of 1/2 in x 2.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 2.100 * [taylor]: Taking taylor expansion of 1/2 in x 2.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.107 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 2.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.107 * [taylor]: Taking taylor expansion of 1/2 in x 2.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.108 * [taylor]: Taking taylor expansion of 1/2 in x 2.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.115 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 2.115 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.115 * [taylor]: Taking taylor expansion of 1/2 in x 2.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.116 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.116 * [taylor]: Taking taylor expansion of 1/2 in x 2.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.123 * * * [progress]: simplifying candidates 2.124 * [simplify]: Simplifying using # : (log (* (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0))) (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (log (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (log 1) (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))) (log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0))))) (log (- (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (* (+ x 2.0) (+ x 2.0)))) (log (- (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (exp (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* (cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* (* (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (sqrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (sqrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* (exp (* 1/2 (pow x 2))) (* (exp x) (exp 2.0))) (* (exp (* 1/2 (pow x 2))) (exp (+ x 2.0))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (exp (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0))) (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* (* (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (* 1/2 (pow x 2)) (+ x 2.0))) (+ (* 1/2 (pow x 2)) (+ x 2.0))) (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))) (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0))) (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3)) (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0)))) (- (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (* (+ x 2.0) (+ x 2.0))) (- (* 1/2 (pow x 2)) (+ x 2.0)) (+ (* 1/2 (pow x 2)) x) (/ (+ (* 1/2 (pow x 2)) (+ x 2.0)) (exp (* x y))) (log (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (exp (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (* (cbrt (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (cbrt (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)))) (cbrt (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (* (* (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (sqrt (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (sqrt (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (- (pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3) (pow (* x y) 3)) (+ (* (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (+ (* (* x y) (* x y)) (* (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)))) (- (* x y)) (- (* (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* (* x y) (* x y))) (+ (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) (- (log (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* x y)) (- (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* x y)) (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) (+ (log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y)) (+ (log (- (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) (- (* x y)) (+ (log 1/2) (* (log x) 2)) (+ (log 1/2) (* (log x) 2)) (+ (log 1/2) (log (pow x 2))) (log (* 1/2 (pow x 2))) (exp (* 1/2 (pow x 2))) (* (* (* 1/2 1/2) 1/2) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/2 (pow x 2))) (cbrt (* 1/2 (pow x 2)))) (cbrt (* 1/2 (pow x 2))) (* (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (* 1/2 (pow x 2))) (sqrt (* 1/2 (pow x 2))) (sqrt (* 1/2 (pow x 2))) (* (sqrt 1/2) (pow (sqrt x) 2)) (* (sqrt 1/2) (pow (sqrt x) 2)) (* (sqrt 1/2) x) (* (sqrt 1/2) x) (* (sqrt 1/2) (sqrt (pow x 2))) (* (sqrt 1/2) (sqrt (pow x 2))) (* (sqrt 1/2) (pow x (/ 2 2))) (* (sqrt 1/2) (pow x (/ 2 2))) (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/2 (pow (sqrt x) 2)) (* 1/2 (pow 1 2)) (* 1/2 x) (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/2 (sqrt (pow x 2))) (* 1/2 1) (* 1/2 (pow x (/ 2 2))) (* (cbrt 1/2) (pow x 2)) (* (sqrt 1/2) (pow x 2)) (* 1/2 (pow x 2)) (- (+ (log 2.0) (+ (* 0.25 (pow x 2)) (* 0.5 x))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (log 1/2) (* 2 (/ 1 x)))) (* 2 (log (/ 1 x)))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (log 1/2) (* 2 (/ 1 x)))) (* 2 (log (/ -1 x)))) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (+ (log 2.0) (+ (* 0.125 (pow x 2)) (* 0.5 x))) (- (+ (log 1/2) (* 2 (/ 1 x))) (+ (* x y) (* 2 (log (/ 1 x))))) (- (+ (log 1/2) (* 2 (/ 1 x))) (+ (* x y) (* 2 (log (/ -1 x))))) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) 2.130 * * [simplify]: iteration 0 : 371 enodes (cost 575 ) 2.136 * * [simplify]: iteration 1 : 1439 enodes (cost 529 ) 2.164 * * [simplify]: iteration 2 : 5001 enodes (cost 520 ) 2.168 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (log (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) 0 (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (pow (* 1/2 (pow x 2)) 3) (pow (+ x 2.0) 3))) (log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0))))) (log (- (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (* (+ x 2.0) (+ x 2.0)))) (log (- (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (+ (* 1/2 (pow x 2)) (+ x 2.0)) (* (cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3) (sqrt 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(+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (pow (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) 3) (sqrt (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (sqrt (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))) (- (pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3) (pow (* x y) 3)) (+ (* (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (+ (* x y) (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))) (* (* x y) (* x y))) (- (* x y)) (- (* (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* (* x y) (* x y))) (+ (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) (- (log (cbrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* x y)) (- (log (sqrt (+ (* 1/2 (pow x 2)) (+ x 2.0)))) (* x y)) (- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) (+ (log (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (- (* (+ x 2.0) (+ x 2.0)) (* (* 1/2 (pow x 2)) (+ x 2.0))))) (* x y)) (+ (log (- (* 1/2 (pow x 2)) (+ x 2.0))) (* x y)) (- (* x y)) (log (* 1/2 (pow x 2))) (log (* 1/2 (pow x 2))) (log (* 1/2 (pow x 2))) (log (* 1/2 (pow 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(* x y) (* 2 (log (/ -1 x)))))) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) 2.168 * * * [progress]: adding candidates to table 2.332 * [progress]: [Phase 3 of 3] Extracting. 2.332 * * [regime]: Finding splitpoints for: (# # #) 2.333 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.333 * * * * [regimes]: Trying to branch on y from (# # #) 2.348 * * * * [regimes]: Trying to branch on x from (# # #) 2.367 * * * [regime]: Found split indices: #