2.880 * [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. 0.013 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.015 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.029 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.037 * [taylor]: Taking taylor expansion of -1 in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.038 * [taylor]: Taking taylor expansion of -1 in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.039 * [approximate]: Taking taylor expansion of (+ (pow x 2) 1.0) in (x) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * * * [progress]: simplifying candidates 0.043 * [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))) (* (exp (* x x)) (exp 1.0)) (log (+ (* x x) 1.0)) (exp (+ (* x x) 1.0)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0)) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (- (* (* x x) (* x x)) (* 1.0 1.0)) (- (* x x) 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)))) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 0.092 * * [simplify]: iteration 0 : 4904 enodes (cost 474 ) 0.093 * * [simplify]: iteration 1 : 4904 enodes (cost 474 ) 0.095 * [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 1.0) (* x x)) (* (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 6) (pow 1.0 3))) (/ x (- (pow x 4) (* 1.0 1.0))) (exp (+ (* x x) 1.0)) (log (+ (* x x) 1.0)) (exp (+ (* x x) 1.0)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0)) (pow (+ (* x x) 1.0) 3) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow x 6) (pow 1.0 3)) (+ (pow x 4) (* 1.0 (- 1.0 (* x x)))) (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0) (* 1.0 (+ x (- (pow x 5) (pow x 3)))) (+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3)))) (+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3)))) (+ (* x x) 1.0) (+ (* x x) 1.0) (+ (* x x) 1.0) 0.095 * * * [progress]: adding candidates to table 0.157 * * [progress]: iteration 2 / 4 0.157 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.167 * * * [progress]: generating rewritten candidates 0.167 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.173 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.180 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.188 * * * [progress]: generating series expansions 0.188 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.189 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 x in x 0.189 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 x in x 0.192 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.192 * [taylor]: Taking taylor expansion of x 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 (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.193 * [taylor]: Taking taylor expansion of x 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 0.195 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 0.197 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.198 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.198 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.199 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.199 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.199 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 0.200 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.202 * [approximate]: Taking taylor expansion of (+ (pow x 2) 1.0) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 (+ (pow x 2) 1.0) 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 (pow x 2)) 1.0) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 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 (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 0.206 * * * [progress]: simplifying candidates 0.207 * [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)) (* (exp (* x x)) (exp 1.0)) (log (+ (* x x) 1.0)) (exp (+ (* x x) 1.0)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0)) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (- (* (* x x) (* x x)) (* 1.0 1.0)) (- (* 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)))) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 0.282 * * [simplify]: iteration 0 : 4930 enodes (cost 1578 ) 0.282 * * [simplify]: iteration 1 : 4930 enodes (cost 1578 ) 0.288 * [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 1.0) (* x x)) (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))))) (- (pow x 3) (* x 1.0)) -1 (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (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) (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))) -1 (/ (- (neg 1.0) (* x x)) 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 x) (* (cbrt x) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))))) (* (cbrt x) (/ (cbrt 1) (cbrt (+ (* x x) 1.0)))) (* (sqrt x) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))))) (* (sqrt x) (/ (cbrt 1) (cbrt (+ (* x x) 1.0)))) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* x (/ (cbrt 1) (cbrt (+ (* x x) 1.0)))) (* (cbrt x) (* (cbrt x) (* (cbrt 1) (/ (cbrt 1) (sqrt (+ (* x x) 1.0)))))) (* (cbrt x) (/ (cbrt 1) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (* (cbrt 1) (/ (cbrt 1) (sqrt (+ (* x x) 1.0))))) (* (sqrt x) (/ (cbrt 1) (sqrt (+ (* x x) 1.0)))) (* (cbrt 1) (/ (cbrt 1) (sqrt (+ (* x x) 1.0)))) (* x (/ (cbrt 1) (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (* (cbrt x) (* (cbrt 1) (cbrt 1)))) (* (cbrt x) (/ (cbrt 1) (+ (* x x) 1.0))) (* (sqrt x) (* (cbrt 1) (cbrt 1))) (* (sqrt x) (/ (cbrt 1) (+ (* x x) 1.0))) (* (cbrt 1) (cbrt 1)) (* x (/ (cbrt 1) (+ (* x x) 1.0))) (* (cbrt 1) (cbrt 1)) (* x (/ (cbrt 1) (+ (* x x) 1.0))) (* (cbrt 1) (/ (cbrt 1) (+ (* x x) 1.0))) (* x (cbrt 1)) (/ 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)) (/ (cbrt x) (+ (* x x) 1.0)) (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)) (/ (cbrt x) (+ (* x x) 1.0)) (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 (cbrt 1))) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (/ 1 (+ (* x x) 1.0)) (exp (+ (* x x) 1.0)) (log (+ (* x x) 1.0)) (exp (+ (* x x) 1.0)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0)) (pow (+ (* x x) 1.0) 3) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow x 6) (pow 1.0 3)) (+ (pow x 4) (* 1.0 (- 1.0 (* x x)))) (- (pow x 4) (* 1.0 1.0)) (- (* 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 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))) (+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))) (+ (* x x) 1.0) (+ (* x x) 1.0) (+ (* x x) 1.0) 0.289 * * * [progress]: adding candidates to table 0.413 * * [progress]: iteration 3 / 4 0.413 * * * [progress]: picking best candidate 0.415 * * * * [pick]: Picked # 0.415 * * * [progress]: localizing error 0.419 * * * [progress]: generating rewritten candidates 0.419 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.426 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.434 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.434 * [approximate]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 0.434 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 0.434 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.435 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [approximate]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.437 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.437 * [approximate]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [approximate]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.442 * * * [progress]: simplifying candidates 0.442 * [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))) 0.491 * * [simplify]: iteration 0 : 5347 enodes (cost 522 ) 0.496 * [simplify]: Simplified to: -1 (neg (log (+ x (/ 1.0 x)))) (neg (log (+ x (/ 1.0 x)))) (neg (log (+ x (/ 1.0 x)))) (neg (log (+ 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 (- (/ 1.0 (neg x)) 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)) (/ (cbrt 1) (+ x (/ 1.0 x))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 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)) (cbrt 1)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (/ 1 (+ (pow x 3) (pow (/ 1.0 x) 3))) (/ 1 (- (* x x) (* 1.0 (/ 1.0 (* x 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)) (+ (* x x) (- (* 1.0 (/ 1.0 (* x x))) 1.0)) (- (* x x) (* 1.0 (/ 1.0 (* x x)))) (- x (/ 1.0 x)) (+ x (/ 1.0 x)) (* 1.0 (+ x (- (pow x 5) (pow x 3)))) (+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3)))) (+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3)))) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) 0.496 * * * [progress]: adding candidates to table 0.544 * [progress]: [Phase 3 of 3] Extracting. 0.544 * * [regime]: Finding splitpoints for: (# #) 0.544 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ (* x x) 1.0)) x) 0.544 * * * * [regimes]: Trying to branch on (/ x (+ (* x x) 1.0)) from (# #) 0.569 * * * * [regimes]: Trying to branch on x from (# #) 0.592 * * * [regime]: Found split indices: #