19.316 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.013 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.014 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.014 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of 1.0 in x 0.026 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of 1.0 in x 0.027 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.027 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.027 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of 1.0 in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.027 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of 1.0 in x 0.028 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.029 * [taylor]: Taking taylor expansion of -1 in x 0.029 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.029 * [taylor]: Taking taylor expansion of -1 in x 0.029 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * * * [progress]: simplifying candidates 0.031 * [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)))) 0.034 * * [simplify]: iteration 0 : 165 enodes (cost 210 ) 0.037 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.045 * * [simplify]: iteration 2 : 1825 enodes (cost 192 ) 0.080 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.081 * [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)) 0.081 * * * [progress]: adding candidates to table 0.127 * * [progress]: iteration 2 / 4 0.127 * * * [progress]: picking best candidate 0.136 * * * * [pick]: Picked # 0.136 * * * [progress]: localizing error 0.142 * * * [progress]: generating rewritten candidates 0.142 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.146 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.150 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.187 * * * [progress]: generating series expansions 0.187 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.187 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) 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 (sqrt (+ (pow x 2) 1.0)) in x 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) 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 (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.191 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.191 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.191 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.195 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.196 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.196 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.197 * [taylor]: Taking taylor expansion of -1 in x 0.197 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.197 * [taylor]: Taking taylor expansion of -1 in x 0.198 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.199 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.199 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.202 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.204 * [taylor]: Taking taylor expansion of -1 in x 0.204 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * * * [progress]: simplifying candidates 0.210 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 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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 (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 3) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 4))) 1) (* 0.5 (/ 1 (pow x 2)))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) 0.226 * * [simplify]: iteration 0 : 774 enodes (cost 3878 ) 0.239 * * [simplify]: iteration 1 : 2962 enodes (cost 3482 ) 0.271 * * [simplify]: iteration 2 : 5001 enodes (cost 3411 ) 0.287 * [simplify]: Simplified to: (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (sqrt (+ (* x x) 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x 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1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (- (* x x) 1.0)) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))))) (/ (sqrt (- (* x x) 1.0)) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (+ (* x x) 1.0) x) (/ (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ (* x x) 1.0))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ x (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (+ (* x x) 1.0) (/ (sqrt (+ (* x x) 1.0)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (+ (* x x) 1.0) (log (/ x (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (exp (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (neg x) (neg (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (pow x 1/2) (fabs (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (neg 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (neg 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) (- (+ (* x (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 3) (sqrt 1.0))))) (+ (- 1 (* 0.5 (/ 1 (pow x 2)))) (/ 0.375 (pow x 4))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) 0.293 * * * [progress]: adding candidates to table 0.606 * * [progress]: iteration 3 / 4 0.606 * * * [progress]: picking best candidate 0.613 * * * * [pick]: Picked # 0.613 * * * [progress]: localizing error 0.622 * * * [progress]: generating rewritten candidates 0.622 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.637 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.649 * * * [progress]: generating series expansions 0.649 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.649 * [approximate]: Taking taylor expansion of (/ (* (- (pow x 2) 1.0) x) (- (pow x 4) 1.0)) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) 1.0) x) (- (pow x 4) 1.0)) in x 0.649 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) x) in x 0.649 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (- (pow x 4) 1.0) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) 1.0) x) (- (pow x 4) 1.0)) in x 0.649 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) x) in x 0.649 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (- (pow x 4) 1.0) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0))) in (x) around 0 0.651 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0)))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0)))) in x 0.653 * [taylor]: Taking taylor expansion of -1 in x 0.653 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.653 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0)))) in x 0.654 * [taylor]: Taking taylor expansion of -1 in x 0.654 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.656 * [approximate]: Taking taylor expansion of (/ x (- (pow x 4) 1.0)) in (x) around 0 0.656 * [taylor]: Taking taylor expansion of (/ x (- (pow x 4) 1.0)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (- (pow x 4) 1.0) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of (/ x (- (pow x 4) 1.0)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (- (pow x 4) 1.0) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [approximate]: Taking taylor expansion of (/ 1 (* x (- (/ 1 (pow x 4)) 1.0))) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (/ 1 (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.658 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.658 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [approximate]: Taking taylor expansion of (/ -1 (* x (- (/ 1 (pow x 4)) 1.0))) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.661 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 (pow x 4)) 1.0))) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of (* x (- (/ 1 (pow x 4)) 1.0)) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * * * [progress]: simplifying candidates 0.666 * [simplify]: Simplifying using # : (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (+ (- (log x) (log (+ (neg (* 1.0 1.0)) (pow x 4)))) (log (- (* x x) 1.0))) (+ (log (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (log (- (* x x) 1.0))) (log (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (exp (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (* (/ (* (* x x) x) (* (* (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (neg (* 1.0 1.0)) (pow x 4))) (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0))) (* (* (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0))) (* (cbrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (cbrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)))) (cbrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (* (* (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (sqrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (sqrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (* x (- (pow (* x x) 3) (pow 1.0 3))) (* (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (* x (- (* (* x x) (* x x)) (* 1.0 1.0))) (* (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (* x x) 1.0)) (* (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (* (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (* (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (* (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (* x x)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (neg 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (* x x)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (neg 1.0)) (* (* x x) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (neg 1.0) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (* x x) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (neg 1.0) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (sqrt (- (* x x) 1.0))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) 1) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (+ x (sqrt 1.0))) (* (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (cbrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (cbrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ (sqrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (sqrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ (sqrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ x (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ x (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ 1 (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (+ (* (neg (* 1.0 1.0)) (neg (* 1.0 1.0))) (- (* (pow x 4) (pow x 4)) (* (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (- (neg (* 1.0 1.0)) (pow x 4)) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (pow (* x x) 3) (pow 1.0 3))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* (* x x) (* x x)) (* 1.0 1.0))) (* x (- (* x x) 1.0)) (- (log x) (log (+ (neg (* 1.0 1.0)) (pow x 4)))) (log (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (exp (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (* (* x x) x) (* (* (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (neg (* 1.0 1.0)) (pow x 4))) (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4))))) (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (neg x) (neg (+ (neg (* 1.0 1.0)) (pow x 4))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ (cbrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (cbrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (/ (sqrt x) (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ (sqrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (sqrt x) 1) (/ (sqrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (/ (sqrt x) 1) (/ (sqrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (/ 1 (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ x (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ 1 (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ x (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ 1 1) (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (/ 1 1) (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (/ 1 (+ (neg (* 1.0 1.0)) (pow x 4))) (/ (+ (neg (* 1.0 1.0)) (pow x 4)) x) (/ x (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ x (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ x 1) (/ x 1) (/ (+ (neg (* 1.0 1.0)) (pow x 4)) (cbrt x)) (/ (+ (neg (* 1.0 1.0)) (pow x 4)) (sqrt x)) (/ (+ (neg (* 1.0 1.0)) (pow x 4)) x) (/ x (+ (pow (neg (* 1.0 1.0)) 3) (pow (pow x 4) 3))) (/ x (- (* (neg (* 1.0 1.0)) (neg (* 1.0 1.0))) (* (pow x 4) (pow x 4)))) (- (+ (* 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)))) (neg (+ (* 1.0 x) (+ (* 1.0 (pow x 5)) (* 1.0 (pow x 9))))) (+ (* 1.0 (/ 1 (pow x 11))) (+ (* 1.0 (/ 1 (pow x 7))) (/ 1 (pow x 3)))) (+ (* 1.0 (/ 1 (pow x 11))) (+ (* 1.0 (/ 1 (pow x 7))) (/ 1 (pow x 3)))) 0.672 * * [simplify]: iteration 0 : 427 enodes (cost 860 ) 0.680 * * [simplify]: iteration 1 : 1887 enodes (cost 778 ) 0.712 * * [simplify]: iteration 2 : 5002 enodes (cost 745 ) 0.717 * [simplify]: Simplified to: (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (log (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (log (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (log (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (exp (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (pow (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) 3) (pow (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) 3) (* (cbrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (cbrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)))) (cbrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (pow (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) 3) (sqrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (sqrt (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))) (* x (- (pow (* x x) 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 (* x x))) (* (pow x 3) x)) (+ (neg (* 1.0 1.0)) (pow x 4))) (* (- (pow x 4) (* 1.0 1.0)) x) (* (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (* x x) 1.0)) (* (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (* (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (* (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (* (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (- (* x x) 1.0))) (/ (pow x 3) (- (pow x 4) (* 1.0 1.0))) (neg (/ (* 1.0 x) (- (pow x 4) (* 1.0 1.0)))) (/ (pow x 3) (- (pow x 4) (* 1.0 1.0))) (neg (/ (* 1.0 x) (- (pow x 4) (* 1.0 1.0)))) (/ (pow x 3) (- (pow x 4) (* 1.0 1.0))) (neg (/ (* 1.0 x) (- (pow x 4) (* 1.0 1.0)))) (/ (pow x 3) (- (pow x 4) (* 1.0 1.0))) (neg (/ (* 1.0 x) (- (pow x 4) (* 1.0 1.0)))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (sqrt (- (* x x) 1.0))) (/ x (- (pow x 4) (* 1.0 1.0))) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (+ x (sqrt 1.0))) (* (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (cbrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (cbrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ (sqrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ (sqrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ (sqrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ x (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ x (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0)) (/ (- (* x x) 1.0) (- (pow x 4) (* 1.0 1.0))) (* (- (* x x) 1.0) (- (+ (* (* 1.0 1.0) (* 1.0 1.0)) (pow x 8)) (* (neg (* 1.0 1.0)) (pow x 4)))) (* (- (neg (* 1.0 1.0)) (pow x 4)) (- (* x x) 1.0)) (* (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (- (pow (* x x) 3) (pow 1.0 3))) x (* x (- (* x x) 1.0)) (log (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (log (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (exp (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (pow (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) 3) (* (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4))))) (cbrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (pow (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) 3) (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt (/ x (+ (neg (* 1.0 1.0)) (pow x 4)))) (neg x) (- (* 1.0 1.0) (pow x 4)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ (cbrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (cbrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (neg (* 1.0 1.0)) (pow x 4))) (/ (sqrt x) (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ (sqrt x) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ (sqrt x) (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (sqrt x) (/ (sqrt x) (- (pow x 4) (* 1.0 1.0))) (sqrt x) (/ (sqrt x) (- (pow x 4) (* 1.0 1.0))) (/ 1 (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ x (cbrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ 1 (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) (/ x (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) 1 (/ x (- (pow x 4) (* 1.0 1.0))) 1 (/ x (- (pow x 4) (* 1.0 1.0))) (/ 1 (- (pow x 4) (* 1.0 1.0))) (/ (- (pow x 4) (* 1.0 1.0)) x) (/ x (* (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))) (cbrt (+ (neg (* 1.0 1.0)) (pow x 4))))) (/ x (sqrt (+ (neg (* 1.0 1.0)) (pow x 4)))) x x (/ (+ (neg (* 1.0 1.0)) (pow x 4)) (cbrt x)) (/ (+ (neg (* 1.0 1.0)) (pow x 4)) (sqrt x)) (/ (- (pow x 4) (* 1.0 1.0)) x) (/ x (- (pow (pow x 4) 3) (pow (* 1.0 1.0) 3))) (/ x (+ (neg (pow x 8)) (* (pow 1.0 3) 1.0))) (* 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)))) (* (neg 1.0) (+ (+ x (pow x 5)) (pow x 9))) (+ (/ 1 (pow x 3)) (* 1.0 (+ (/ 1 (pow x 11)) (/ 1 (pow x 7))))) (+ (/ 1 (pow x 3)) (* 1.0 (+ (/ 1 (pow x 11)) (/ 1 (pow x 7))))) 0.717 * * * [progress]: adding candidates to table 0.841 * * [progress]: iteration 4 / 4 0.841 * * * [progress]: picking best candidate 0.846 * * * * [pick]: Picked # 0.846 * * * [progress]: localizing error 0.854 * * * [progress]: generating rewritten candidates 0.854 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.864 * * * [progress]: generating series expansions 0.864 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.865 * [approximate]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in (x) around 0 0.865 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 0.865 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 0.865 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in (x) around 0 0.866 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in (x) around 0 0.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * * * [progress]: simplifying candidates 0.869 * [simplify]: Simplifying using # : (/ (* (exp x) (exp (pow x 5))) (exp (pow x 3))) (/ (exp (+ x (pow x 5))) (exp (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (* (* (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3))) (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (+ (* (pow x 3) (pow x 3)) (* (+ x (pow x 5)) (pow x 3)))) (neg (pow x 3)) (- (* (+ x (pow x 5)) (+ x (pow x 5))) (* (pow x 3) (pow x 3))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (neg (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 0.874 * * [simplify]: iteration 0 : 108 enodes (cost 163 ) 0.876 * * [simplify]: iteration 1 : 374 enodes (cost 154 ) 0.885 * * [simplify]: iteration 2 : 2146 enodes (cost 151 ) 0.938 * * [simplify]: iteration 3 : 5001 enodes (cost 151 ) 0.939 * [simplify]: Simplified to: (exp (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (pow (- (+ x (pow x 5)) (pow x 3)) 3) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ (+ x (pow x 5)) (pow x 3))) (pow x 6)) (neg (pow x 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (neg (pow x 6))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x 3/2)) (- (sqrt (+ x (pow x 5))) (pow x 3/2)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (neg (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 0.939 * * * [progress]: adding candidates to table 0.970 * [progress]: [Phase 3 of 3] Extracting. 0.971 * * [regime]: Finding splitpoints for: (# # # #) 0.971 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.971 * * * * [regimes]: Trying to branch on x from (# # # #) 1.012 * * * [regime]: Found split indices: #