2.846 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.015 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.030 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.030 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.032 * [taylor]: Taking taylor expansion of -1 in x 0.032 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.032 * [taylor]: Taking taylor expansion of -1 in x 0.032 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * * * [progress]: simplifying candidates 0.034 * [simplify]: Simplifying using # : (- (log x) (log (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (/ (* (* x x) x) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0))) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (* (* (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (neg x) (neg (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 1) (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x 1) (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 0.037 * * [simplify]: iteration 0 : 165 enodes (cost 210 ) 0.040 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.049 * * [simplify]: iteration 2 : 1825 enodes (cost 192 ) 0.084 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.086 * [simplify]: Simplified to: (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (neg x) (neg (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) 0.086 * * * [progress]: adding candidates to table 0.132 * * [progress]: iteration 2 / 4 0.132 * * * [progress]: picking best candidate 0.138 * * * * [pick]: Picked # 0.138 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.149 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.161 * * * [progress]: generating series expansions 0.161 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.161 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) 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 (+ (/ 1 (pow x 2)) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.167 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.168 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.169 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (- (log (+ (* x x) 1.0)) (log x)) (log (/ (+ (* x x) 1.0) x)) (exp (/ (+ (* x x) 1.0) x)) (/ (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (* (* x x) x)) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x)) (* (* (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x)) (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (neg (+ (* x x) 1.0)) (neg x) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ (* x x) 1.0)) (cbrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x)) (/ (cbrt (+ (* x x) 1.0)) (sqrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1) (/ (cbrt (+ (* x x) 1.0)) x) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) 1) (/ (sqrt (+ (* x x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ 1 1) (/ (+ (* x x) 1.0) x) (/ 1 x) (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) 1) (/ x (cbrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0)) (* x (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* x (- (* x x) 1.0)) (neg 1) (neg (- (log (+ (* x x) 1.0)) (log x))) (neg (log (/ (+ (* x x) 1.0) x))) (- 0 (- (log (+ (* x x) 1.0)) (log x))) (- 0 (log (/ (+ (* x x) 1.0) x))) (- (log 1) (- (log (+ (* x x) 1.0)) (log x))) (- (log 1) (log (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (exp (/ 1 (/ (+ (* x x) 1.0) x))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x)) (/ (+ (* x x) 1.0) x))) (* (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x)))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (* (* (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 (/ (+ (* x x) 1.0) x))) (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (neg 1) (neg (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ (cbrt 1) (cbrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) 1.0) x))) (/ (cbrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ (* x x) 1.0) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ (* x x) 1.0) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) 1.0)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ (sqrt 1) (cbrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) x)) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) 1)) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ (* x x) 1.0) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ (* x x) 1.0) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ (* x x) 1.0) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ (* x x) 1.0) x)) (/ (sqrt 1) (+ (* x x) 1.0)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ 1 (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (/ (cbrt (+ (* x x) 1.0)) x)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) 1)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ (* x x) 1.0) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 1) (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 (+ (* x x) 1.0)) (/ 1 (/ 1 x)) (/ 1 (/ (+ (* x x) 1.0) x)) (/ (/ (+ (* x x) 1.0) x) 1) (/ 1 (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ (* x x) 1.0)) (/ (/ (+ (* x x) 1.0) x) (cbrt 1)) (/ (/ (+ (* x x) 1.0) x) (sqrt 1)) (/ (/ (+ (* x x) 1.0) x) 1) (/ 1 (+ (* x x) 1.0)) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 0.179 * * [simplify]: iteration 0 : 397 enodes (cost 897 ) 0.187 * * [simplify]: iteration 1 : 1720 enodes (cost 798 ) 0.211 * * [simplify]: iteration 2 : 5001 enodes (cost 720 ) 0.216 * [simplify]: Simplified to: (log (/ (+ (* x x) 1.0) x)) (log (/ (+ (* x x) 1.0) x)) (exp (/ (+ (* x x) 1.0) x)) (pow (/ (+ (* x x) 1.0) x) 3) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x)) (pow (/ (+ (* x x) 1.0) x) 3) (sqrt (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (neg (+ (* x x) 1.0)) (neg x) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ (* x x) 1.0)) (cbrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x)) (/ (cbrt (+ (* x x) 1.0)) (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (/ (cbrt (+ (* x x) 1.0)) x) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (sqrt (+ (* x x) 1.0)) (/ (sqrt (+ (* x x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (+ (* x x) 1.0) (sqrt x)) 1 (/ (+ (* x x) 1.0) x) (/ 1 x) (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (+ (* x x) 1.0) (/ x (cbrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0)) (+ (pow x 5) (* x (* 1.0 (- 1.0 (* x x))))) (* x (- (* x x) 1.0)) -1 (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (exp (/ 1 (/ (+ (* x x) 1.0) x))) (pow (/ x (+ (* x x) 1.0)) 3) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x)))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) -1 (neg (/ (+ (* x x) 1.0) x)) (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (/ 1 (+ (* x x) 1.0)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 0.217 * * * [progress]: adding candidates to table 0.318 * * [progress]: iteration 3 / 4 0.318 * * * [progress]: picking best candidate 0.320 * * * * [pick]: Picked # 0.321 * * * [progress]: localizing error 0.327 * * * [progress]: generating rewritten candidates 0.327 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.338 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.346 * [approximate]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [approximate]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.349 * [approximate]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * [approximate]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.353 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (neg 1) (neg (log (+ x (/ 1.0 x)))) (- 0 (log (+ x (/ 1.0 x)))) (- (log 1) (log (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (exp (/ 1 (+ x (/ 1.0 x)))) (/ (* (* 1 1) 1) (* (* (+ x (/ 1.0 x)) (+ x (/ 1.0 x))) (+ x (/ 1.0 x)))) (* (cbrt (/ 1 (+ x (/ 1.0 x)))) (cbrt (/ 1 (+ x (/ 1.0 x))))) (cbrt (/ 1 (+ x (/ 1.0 x)))) (* (* (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x)))) (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) (neg 1) (neg (+ x (/ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ (cbrt 1) (cbrt (+ x (/ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x (/ 1.0 x)))) (/ (cbrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x (/ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x (/ 1.0 x))) (/ (sqrt 1) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ (sqrt 1) (cbrt (+ x (/ 1.0 x)))) (/ (sqrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (sqrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x (/ 1.0 x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 1) (/ 1 (+ x (/ 1.0 x))) (/ 1 1) (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x))) (/ (+ x (/ 1.0 x)) 1) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 1) (/ 1 1) (/ (+ x (/ 1.0 x)) (cbrt 1)) (/ (+ x (/ 1.0 x)) (sqrt 1)) (/ (+ x (/ 1.0 x)) 1) (/ 1 (+ (pow x 3) (pow (/ 1.0 x) 3))) (/ 1 (- (* x x) (* (/ 1.0 x) (/ 1.0 x)))) (* (exp x) (exp (/ 1.0 x))) (log (+ x (/ 1.0 x))) (exp (+ x (/ 1.0 x))) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x)))) (cbrt (+ x (/ 1.0 x))) (* (* (+ x (/ 1.0 x)) (+ x (/ 1.0 x))) (+ x (/ 1.0 x))) (sqrt (+ x (/ 1.0 x))) (sqrt (+ x (/ 1.0 x))) (+ (pow x 3) (pow (/ 1.0 x) 3)) (+ (* x x) (- (* (/ 1.0 x) (/ 1.0 x)) (* x (/ 1.0 x)))) (- (* x x) (* (/ 1.0 x) (/ 1.0 x))) (- x (/ 1.0 x)) (+ x (/ 1.0 x)) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) 0.357 * * [simplify]: iteration 0 : 185 enodes (cost 290 ) 0.361 * * [simplify]: iteration 1 : 596 enodes (cost 258 ) 0.369 * * [simplify]: iteration 2 : 1982 enodes (cost 238 ) 0.406 * * [simplify]: iteration 3 : 5003 enodes (cost 238 ) 0.408 * [simplify]: Simplified to: -1 (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (exp (/ 1 (+ x (/ 1.0 x)))) (/ 1 (pow (+ x (/ 1.0 x)) 3)) (* (cbrt (/ 1 (+ x (/ 1.0 x)))) (cbrt (/ 1 (+ x (/ 1.0 x))))) (cbrt (/ 1 (+ x (/ 1.0 x)))) (/ 1 (pow (+ x (/ 1.0 x)) 3)) (sqrt (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) -1 (neg (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x))) (+ x (/ 1.0 x)) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 1 (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (/ 1 (+ (pow x 3) (pow (/ 1.0 x) 3))) (/ 1 (- (* x x) (* (/ 1.0 x) (/ 1.0 x)))) (exp (+ x (/ 1.0 x))) (log (+ x (/ 1.0 x))) (exp (+ x (/ 1.0 x))) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x)))) (cbrt (+ x (/ 1.0 x))) (pow (+ x (/ 1.0 x)) 3) (sqrt (+ x (/ 1.0 x))) (sqrt (+ x (/ 1.0 x))) (+ (pow x 3) (pow (/ 1.0 x) 3)) (+ (* (/ 1.0 x) (- (/ 1.0 x) x)) (* x x)) (- (* x x) (* (/ 1.0 x) (/ 1.0 x))) (- x (/ 1.0 x)) (+ x (/ 1.0 x)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) 0.409 * * * [progress]: adding candidates to table 0.448 * [progress]: [Phase 3 of 3] Extracting. 0.448 * * [regime]: Finding splitpoints for: (# #) 0.449 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ (* x x) 1.0)) x) 0.449 * * * * [regimes]: Trying to branch on (/ x (+ (* x x) 1.0)) from (# #) 0.471 * * * * [regimes]: Trying to branch on x from (# #) 0.495 * * * [regime]: Found split indices: #