10.691 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 0.086 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.087 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.088 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.089 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.090 * * [simplify]: iteration 4 : 59 enodes (cost 9 ) 0.092 * * [simplify]: iteration 5 : 174 enodes (cost 9 ) 0.097 * * [simplify]: iteration 6 : 1153 enodes (cost 9 ) 0.128 * * [simplify]: iteration 7 : 5001 enodes (cost 9 ) 0.129 * [simplify]: Simplified to: (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 0.129 * * [progress]: iteration 1 / 4 0.129 * * * [progress]: picking best candidate 0.131 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.143 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.156 * * * [progress]: generating series expansions 0.156 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.157 * [approximate]: Taking taylor expansion of (- (exp x) (exp (neg x))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.157 * [taylor]: Taking taylor expansion of (exp x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.157 * [taylor]: Taking taylor expansion of (neg x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.157 * [taylor]: Taking taylor expansion of (exp x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.157 * [taylor]: Taking taylor expansion of (neg x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.161 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.161 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.161 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.163 * [approximate]: Taking taylor expansion of (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) in x 0.163 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.163 * [taylor]: Taking taylor expansion of (exp x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.163 * [taylor]: Taking taylor expansion of (neg x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (+ (exp (neg x)) (exp x)) in x 0.163 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.163 * [taylor]: Taking taylor expansion of (neg x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (exp x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) in x 0.163 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.163 * [taylor]: Taking taylor expansion of (exp x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.163 * [taylor]: Taking taylor expansion of (neg x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (+ (exp (neg x)) (exp x)) in x 0.163 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.163 * [taylor]: Taking taylor expansion of (neg x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (exp x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.168 * [approximate]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 0.168 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.168 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.168 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 0.169 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.169 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.169 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.173 * [approximate]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.177 * * * [progress]: simplifying candidates 0.178 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (cbrt (- (exp x) (exp (neg x)))) (* (* (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))) (neg (exp (neg x))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) (- (exp x) (exp (neg x))) (neg (exp (neg x))) (- (log (- (exp x) (exp (neg x)))) (log (+ (exp x) (exp (neg x))))) (log (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (exp (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (/ (* (* (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (- (exp x) (exp (neg x)))) (* (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))))) (* (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))))) (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (* (* (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (sqrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (sqrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (neg (- (exp x) (exp (neg x)))) (neg (+ (exp x) (exp (neg x)))) (/ (exp x) (+ (exp x) (exp (neg x)))) (/ (exp (neg x)) (+ (exp x) (exp (neg x)))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (- (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg 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(exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ (- (exp x) (exp (neg x))) (sqrt (+ (exp x) (exp (neg x))))) (/ 1 1) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ 1 1) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (/ (+ (sqrt (exp x)) (sqrt (exp (neg x)))) 1) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ (+ (sqrt (exp x)) (sqrt (exp (neg x)))) 1) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (- (exp x) (exp (neg x))) (cbrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ (- (exp x) (exp (neg x))) (sqrt (+ (exp x) (exp (neg x))))) (/ 1 1) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ 1 1) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/ 1 (+ (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (- (exp x) (exp (neg x))) (sqrt (+ (exp x) (exp (neg x))))) (/ (- (exp x) (exp (neg x))) 1) (/ (- (exp x) (exp (neg x))) 1) (/ (+ (exp x) (exp (neg x))) (cbrt (- (exp x) (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (sqrt (- (exp x) (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) (- (sqrt (exp x)) (sqrt (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (/ (- (exp x) (exp (neg x))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x))))) (* (+ (exp x) (exp (neg x))) (+ (* (exp x) (exp x)) (+ (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x)))))) (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (* -1 x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 0.183 * * [simplify]: iteration 0 : 256 enodes (cost 836 ) 0.187 * * [simplify]: iteration 1 : 810 enodes (cost 780 ) 0.203 * * [simplify]: iteration 2 : 3280 enodes (cost 772 ) 0.280 * * [simplify]: iteration 3 : 5001 enodes (cost 772 ) 0.286 * [simplify]: Simplified to: (exp (- (exp x) (exp (neg x)))) (log (- (exp x) (exp (neg x)))) (exp (- (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (cbrt (- (exp x) (exp (neg x)))) (pow (- (exp x) (exp (neg x))) 3) (sqrt (- (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (- (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (+ 1 (exp (+ x x))) (pow (exp -1) (* 2 x))) (/ -1 (exp x)) (- (/ (exp (+ x x)) 1) (/ (pow (exp x) -2) 1)) (+ (exp (* -1 x)) (exp x)) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))) (- (exp x) (exp (neg x))) (/ -1 (exp x)) (log (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (log (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (exp (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (pow (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) 3) (* (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))))) (cbrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (pow (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) 3) (sqrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (sqrt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))) (neg (- (exp x) (exp (neg x)))) (- (/ -1 (exp x)) (exp x)) (/ (exp x) (+ (exp (neg x)) (exp x))) (/ 1 (+ 1 (exp (+ x x)))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (- (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg x))))) (/ (cbrt (- (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (/ (cbrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (* (cbrt (- (exp x) (exp (neg x)))) (cbrt (- (exp x) (exp (neg x))))) (/ (cbrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ (sqrt (- (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (- (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (sqrt (- (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (- (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (- (exp x) (exp (neg x)))) (/ (sqrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (sqrt (- (exp x) (exp (neg x)))) (/ (sqrt (- (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (- (exp x) (exp (neg x))) (cbrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ (- (exp x) (exp (neg x))) (sqrt (+ (exp x) (exp (neg x))))) 1 (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) 1 (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (/ (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (+ (exp x) (exp (neg x)))) (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (/ (- (sqrt (exp x)) (sqrt (exp (neg x)))) (+ (exp x) (exp (neg x)))) (/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (- (exp x) (exp (neg x))) (cbrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ (- (exp x) (exp (neg x))) (sqrt (+ (exp x) (exp (neg x))))) 1 (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) 1 (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ 1 (+ (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (- (exp x) (exp (neg x))) (sqrt (+ (exp x) (exp (neg x))))) (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x))) (/ (+ (exp x) (exp (neg x))) (cbrt (- (exp x) (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (sqrt (- (exp x) (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) (- (sqrt (exp x)) (sqrt (exp (neg x))))) (/ (+ (exp x) (exp (neg x))) (- (exp x) (exp (neg x)))) (/ (- (exp x) (exp (neg x))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (/ (- (exp x) (exp (neg x))) (- (/ (exp (+ x x)) 1) (/ (pow (exp x) -2) 1))) (* (+ (+ 1 (exp (+ x x))) (pow (exp -1) (* 2 x))) (+ (exp (* -1 x)) (exp x))) (+ (pow (exp x) -2) (+ 1 (+ 1 (exp (+ x x))))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (neg x))) (- (exp x) (exp (neg x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) 0.287 * * * [progress]: adding candidates to table 0.366 * * [progress]: iteration 2 / 4 0.366 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.372 * * * [progress]: generating rewritten candidates 0.372 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.374 * * * [progress]: generating series expansions 0.374 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (tanh x) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (tanh x) in x 0.375 * [taylor]: Rewrote expression to (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 0.375 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.375 * [taylor]: Taking taylor expansion of (exp x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.375 * [taylor]: Taking taylor expansion of (neg x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 0.375 * [taylor]: Taking taylor expansion of (exp x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.375 * [taylor]: Taking taylor expansion of (neg x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (tanh x) in x 0.376 * [taylor]: Rewrote expression to (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) 0.376 * [taylor]: Taking taylor expansion of (- (exp x) (exp (neg x))) in x 0.376 * [taylor]: Taking taylor expansion of (exp x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.376 * [taylor]: Taking taylor expansion of (neg x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 0.376 * [taylor]: Taking taylor expansion of (exp x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.376 * [taylor]: Taking taylor expansion of (neg x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.381 * [approximate]: Taking taylor expansion of (tanh (/ 1 x)) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (tanh (/ 1 x)) in x 0.381 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) 0.381 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (tanh (/ 1 x)) in x 0.382 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) 0.382 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (tanh (/ -1 x)) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (tanh (/ -1 x)) in x 0.385 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 x)) (exp (neg (/ -1 x)))) (+ (exp (/ -1 x)) (exp (neg (/ -1 x))))) 0.385 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (neg (/ -1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (exp (neg (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (neg (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (neg (/ -1 x)))) in x 0.386 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (exp (neg (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (neg (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (tanh (/ -1 x)) in x 0.386 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 x)) (exp (neg (/ -1 x)))) (+ (exp (/ -1 x)) (exp (neg (/ -1 x))))) 0.386 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (neg (/ -1 x)))) in x 0.386 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (exp (neg (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (neg (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (neg (/ -1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (exp (neg (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (neg (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.390 * * * [progress]: simplifying candidates 0.390 * [simplify]: Simplifying using # : (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))) (log (tanh x)) (exp (tanh x)) (* (cbrt (tanh x)) (cbrt (tanh x))) (cbrt (tanh x)) (* (* (tanh x) (tanh x)) (tanh x)) (sqrt (tanh x)) (sqrt (tanh x)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 0.393 * * [simplify]: iteration 0 : 92 enodes (cost 48 ) 0.395 * * [simplify]: iteration 1 : 206 enodes (cost 45 ) 0.398 * * [simplify]: iteration 2 : 619 enodes (cost 45 ) 0.412 * * [simplify]: iteration 3 : 3203 enodes (cost 45 ) 0.474 * * [simplify]: iteration 4 : 5002 enodes (cost 45 ) 0.475 * [simplify]: Simplified to: (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)) (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))) (log (tanh x)) (exp (tanh x)) (* (cbrt (tanh x)) (cbrt (tanh x))) (cbrt (tanh x)) (pow (tanh x) 3) (sqrt (tanh x)) (sqrt (tanh x)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (tanh x) (tanh x) 0.475 * * * [progress]: adding candidates to table 0.489 * * [progress]: iteration 3 / 4 0.489 * * * [progress]: picking best candidate 0.491 * * * * [pick]: Picked # 0.491 * * * [progress]: localizing error 0.500 * * * [progress]: generating rewritten candidates 0.500 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.506 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.511 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.521 * * * [progress]: generating series expansions 0.521 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.521 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.521 * [taylor]: Taking taylor expansion of 1/3 in x 0.521 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.521 * [taylor]: Taking taylor expansion of 1/3 in x 0.521 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.522 * [taylor]: Taking taylor expansion of 1/3 in x 0.522 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.523 * [taylor]: Taking taylor expansion of 1/3 in x 0.523 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.524 * [taylor]: Taking taylor expansion of -1/3 in x 0.524 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.524 * [taylor]: Taking taylor expansion of -1/3 in x 0.524 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.525 * [approximate]: Taking taylor expansion of (* 2/15 (pow x 5)) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.525 * [taylor]: Taking taylor expansion of 2/15 in x 0.525 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.525 * [taylor]: Taking taylor expansion of 2/15 in x 0.525 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.527 * [approximate]: Taking taylor expansion of (/ 2/15 (pow x 5)) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (/ 2/15 (pow x 5)) in x 0.527 * [taylor]: Taking taylor expansion of 2/15 in x 0.527 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 2/15 (pow x 5)) in x 0.527 * [taylor]: Taking taylor expansion of 2/15 in x 0.527 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (/ -2/15 (pow x 5)) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (/ -2/15 (pow x 5)) in x 0.528 * [taylor]: Taking taylor expansion of -2/15 in x 0.528 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (/ -2/15 (pow x 5)) in x 0.528 * [taylor]: Taking taylor expansion of -2/15 in x 0.528 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.530 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.530 * [approximate]: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in (x) around 0 0.530 * [taylor]: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in x 0.530 * [taylor]: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.530 * [taylor]: Taking taylor expansion of 2/15 in x 0.530 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.530 * [taylor]: Taking taylor expansion of 1/3 in x 0.530 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in x 0.530 * [taylor]: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.530 * [taylor]: Taking taylor expansion of 2/15 in x 0.530 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.530 * [taylor]: Taking taylor expansion of 1/3 in x 0.530 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [approximate]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))) in x 0.531 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.531 * [taylor]: Taking taylor expansion of 2/15 in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.531 * [taylor]: Taking taylor expansion of 1/3 in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))) in x 0.531 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.532 * [taylor]: Taking taylor expansion of 2/15 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.532 * [taylor]: Taking taylor expansion of 1/3 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.533 * [taylor]: Taking taylor expansion of 1/3 in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.533 * [taylor]: Taking taylor expansion of 2/15 in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in x 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.534 * [taylor]: Taking taylor expansion of 1/3 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.534 * [taylor]: Taking taylor expansion of 2/15 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.536 * * * [progress]: simplifying candidates 0.537 * [simplify]: Simplifying using # : (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (+ (log 2/15) (* (log x) 5)) (+ (log 2/15) (* (log x) 5)) (+ (log 2/15) (log (pow x 5))) (log (* 2/15 (pow x 5))) (exp (* 2/15 (pow x 5))) (* (* (* 2/15 2/15) 2/15) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 2/15 (pow x 5))) (cbrt (* 2/15 (pow x 5)))) (cbrt (* 2/15 (pow x 5))) (* (* (* 2/15 (pow x 5)) (* 2/15 (pow x 5))) (* 2/15 (pow x 5))) (sqrt (* 2/15 (pow x 5))) (sqrt (* 2/15 (pow x 5))) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (pow x (/ 5 2))) (* (sqrt 2/15) (pow x (/ 5 2))) (* 2/15 (pow (* (cbrt x) (cbrt x)) 5)) (* 2/15 (pow (sqrt x) 5)) (* 2/15 (pow 1 5)) (* 2/15 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 2/15 (sqrt (pow x 5))) (* 2/15 1) (* 2/15 (pow x (/ 5 2))) (* (cbrt 2/15) (pow x 5)) (* (sqrt 2/15) (pow x 5)) (* 2/15 (pow x 5)) (/ (* (exp x) (exp (* 2/15 (pow x 5)))) (exp (* 1/3 (pow x 3)))) (/ (exp (+ x (* 2/15 (pow x 5)))) (exp (* 1/3 (pow x 3)))) (log (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (* (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (- (pow (+ x (* 2/15 (pow x 5))) 3) (pow (* 1/3 (pow x 3)) 3)) (+ (* (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5)))) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))))) (neg (* 1/3 (pow x 3))) (- (* (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5)))) (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3)))) (+ (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (* 2/15 (pow x 5)) (* 1/3 (pow x 3))) (neg (* 1/3 (pow x 3))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) 0.541 * * [simplify]: iteration 0 : 276 enodes (cost 360 ) 0.548 * * [simplify]: iteration 1 : 1208 enodes (cost 332 ) 0.578 * * [simplify]: iteration 2 : 5001 enodes (cost 328 ) 0.580 * [simplify]: Simplified to: (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* (* 1/3 x) x) (* (* 1/3 x) x) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (log (* 2/15 (pow x 5))) (log (* 2/15 (pow x 5))) (log (* 2/15 (pow x 5))) (log (* 2/15 (pow x 5))) (exp (* 2/15 (pow x 5))) (pow (* 2/15 (pow x 5)) 3) (* (cbrt (* 2/15 (pow x 5))) (cbrt (* 2/15 (pow x 5)))) (cbrt (* 2/15 (pow x 5))) (pow (* 2/15 (pow x 5)) 3) (sqrt (* 2/15 (pow x 5))) (sqrt (* 2/15 (pow x 5))) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (pow x 5/2)) (* (sqrt 2/15) (pow x 5/2)) (* 2/15 (pow (* (cbrt x) (cbrt x)) 5)) (* 2/15 (pow (sqrt x) 5)) 2/15 (* 2/15 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 2/15 (sqrt (pow x 5))) 2/15 (* 2/15 (pow x 5/2)) (* (cbrt 2/15) (pow x 5)) (* (sqrt 2/15) (pow x 5)) (* 2/15 (pow x 5)) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (log (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (pow (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) 3) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (- (pow (+ x (* 2/15 (pow x 5))) 3) (pow (* 1/3 (pow x 3)) 3)) (+ (* (+ x (* 2/15 (pow x 5))) (+ (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (pow x 6) 1/9)) (* -1/3 (pow x 3)) (+ (* -1/9 (pow x 6)) (* (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5))))) (+ (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (* 2/15 (pow x 5)) (* 1/3 (pow x 3))) (* -1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) 0.581 * * * [progress]: adding candidates to table 0.685 * [progress]: [Phase 3 of 3] Extracting. 0.685 * * [regime]: Finding splitpoints for: (# #) 0.685 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.685 * * * * [regimes]: Trying to branch on x from (# #) 0.708 * * * [regime]: Found split indices: #