10.870 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.020 * * [simplify]: iteration 0 : 18 enodes (cost 7 ) 0.020 * * [simplify]: iteration 1 : 18 enodes (cost 7 ) 0.020 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 1.0 in y 0.032 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 1.0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 1.0 in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 1.0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.037 * [taylor]: Taking taylor expansion of -1 in y 0.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.037 * [taylor]: Taking taylor expansion of -1 in x 0.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.037 * [taylor]: Taking taylor expansion of -1 in x 0.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.038 * [taylor]: Taking taylor expansion of -1 in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * * * [progress]: simplifying candidates 0.041 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.089 * * [simplify]: iteration 0 : 5069 enodes (cost 206 ) 0.090 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (+ 1.0 (* y y)) (cbrt x)) (* (+ 1.0 (* y y)) (sqrt x)) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (pow y 4))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.090 * * * [progress]: adding candidates to table 0.116 * * [progress]: iteration 2 / 4 0.116 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.132 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.134 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.145 * * * [progress]: generating series expansions 0.145 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.145 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.145 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 1.0 in y 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.145 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 1.0 in y 0.146 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 1.0 in y 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 1.0 in y 0.148 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.148 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 1.0 in y 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 1.0 in y 0.149 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of 1.0 in y 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of 1.0 in y 0.150 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of 1.0 in y 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of 1.0 in y 0.153 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.154 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 1.0 in y 0.154 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 1.0 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of 1.0 in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 1.0 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.158 * [taylor]: Taking taylor expansion of -1 in y 0.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 1.0 in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.159 * [taylor]: Taking taylor expansion of -1 in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 1.0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.163 * * * [progress]: simplifying candidates 0.163 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.195 * * [simplify]: iteration 0 : 5511 enodes (cost 740 ) 0.198 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow y 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow y 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) (log (* (+ 1.0 (* y y)) x)) (log (* (+ 1.0 (* y y)) x)) (log (* (+ 1.0 (* y y)) x)) (pow (exp x) (+ 1.0 (* y y))) (pow (* (+ 1.0 (* y y)) x) 3) (pow (* (+ 1.0 (* y y)) x) 3) (* (cbrt (* (+ 1.0 (* y y)) x)) (cbrt (* (+ 1.0 (* y y)) x))) (cbrt (* (+ 1.0 (* y y)) x)) (pow (* (+ 1.0 (* y y)) x) 3) (sqrt (* (+ 1.0 (* y y)) x)) (sqrt (* (+ 1.0 (* y y)) x)) (* (+ (pow 1.0 3) (pow y 6)) x) (+ (pow y 4) (* 1.0 (- 1.0 (* y y)))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (pow y 4)) x) (- 1.0 (* y y)) (* (sqrt (+ 1.0 (* y y))) (* (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) x)) (* (sqrt (+ 1.0 (* y y))) (* (fabs (cbrt (+ 1.0 (* y y)))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (sqrt (+ 1.0 (* y y)))) x)) (* (sqrt (+ 1.0 (* y y))) x) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (sqrt (+ 1.0 (* y y)))) x)) (* (sqrt (+ 1.0 (* y y))) x) (+ 1.0 (* y y)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (+ (sqrt 1.0) (* (* (/ y (sqrt 1.0)) y) (- 1/2 (/ (* (* y y) 1/8) 1.0)))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (sqrt 1.0) (* (* (/ y (sqrt 1.0)) y) (- 1/2 (/ (* (* y y) 1/8) 1.0)))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (* 1.0 x) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) 0.198 * * * [progress]: adding candidates to table 0.286 * * [progress]: iteration 3 / 4 0.286 * * * [progress]: picking best candidate 0.294 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.311 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.314 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.322 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.322 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.322 * [taylor]: Taking taylor expansion of 1/3 in y 0.322 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.322 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 1.0 in y 0.322 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.322 * [taylor]: Taking taylor expansion of 1/3 in y 0.322 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.322 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.325 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.325 * [taylor]: Taking taylor expansion of 1/3 in y 0.325 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.325 * [taylor]: Taking taylor expansion of 1/3 in y 0.325 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.329 * [taylor]: Taking taylor expansion of 1/3 in y 0.329 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.329 * [taylor]: Taking taylor expansion of 1/3 in y 0.329 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.333 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.333 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.333 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.333 * [taylor]: Taking taylor expansion of 1/3 in y 0.333 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.333 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 1.0 in y 0.333 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.333 * [taylor]: Taking taylor expansion of 1/3 in y 0.333 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.333 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 1.0 in y 0.336 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.336 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.336 * [taylor]: Taking taylor expansion of 1/3 in y 0.336 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 1.0 in y 0.336 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.336 * [taylor]: Taking taylor expansion of 1/3 in y 0.336 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.340 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.340 * [taylor]: Taking taylor expansion of 1/3 in y 0.340 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.340 * [taylor]: Taking taylor expansion of 1/3 in y 0.340 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.344 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.345 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 1.0 in y 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 1.0 in y 0.346 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 1.0 in y 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 1.0 in y 0.347 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.347 * [approximate]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in (y) around 0 0.347 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 0.347 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 0.347 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 0.347 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 0.347 * [taylor]: Taking taylor expansion of 1/6 in y 0.347 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.347 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of 1.0 in y 0.347 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 0.347 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 0.347 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 0.348 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 0.348 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 0.348 * [taylor]: Taking taylor expansion of 1/6 in y 0.348 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.348 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 1.0 in y 0.348 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 0.353 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in (y) around 0 0.353 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.353 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.353 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.353 * [taylor]: Taking taylor expansion of 1/6 in y 0.353 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.353 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.353 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.353 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.353 * [taylor]: Taking taylor expansion of 1/6 in y 0.353 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.359 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in (y) around 0 0.359 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.359 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.359 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.359 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.359 * [taylor]: Taking taylor expansion of 1/6 in y 0.359 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 1.0 in y 0.359 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.360 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.360 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.360 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.360 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.360 * [taylor]: Taking taylor expansion of 1/6 in y 0.360 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of 1.0 in y 0.360 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.365 * * * [progress]: simplifying candidates 0.366 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (+ (log (fabs (cbrt (+ 1.0 (* y y))))) (log (sqrt (cbrt (+ 1.0 (* y y)))))) (log (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (exp (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (* (* (fabs (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (fabs (cbrt (+ 1.0 (* y y))))) (* (* (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (* (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt 1)) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) 1) (* (cbrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4)))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (* (pow 1.0 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (+ (* 0.013888888888888888 (* (* (pow y 4) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow 1.0 1/6))) (* 0.16666666666666666 (* (* (pow y 2) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow 1.0 1/6))))) (* 1/12 (* (* (pow y 4) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (+ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ 1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ 1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow y 2)))) (* 0.06944444444444445 (/ (* (fabs (pow (+ (pow y 2) 1.0) 1/3)) (exp (* 1/6 (- (log 1) (* 2 (log (/ 1 y))))))) (pow y 4)))) (- (+ (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ -1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow y 2))) (* (exp (* 1/6 (- (log 1) (* 2 (log (/ -1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.06944444444444445 (/ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ -1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow y 4)))) 0.399 * * [simplify]: iteration 0 : 5419 enodes (cost 1193 ) 0.403 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (pow (+ 1.0 (* y y)) 2/3)) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow y 6))) (cbrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (pow y 4))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (pow (+ 1.0 (* y y)) 2/3)) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow y 6))) (cbrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (pow y 4))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow y 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (log (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (log (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (pow (exp (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (sqrt (cbrt (+ 1.0 (* y y)))) 7)) (* (cbrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (cbrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))))) (cbrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (sqrt (cbrt (+ 1.0 (* y y)))) 7)) (sqrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (sqrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (pow (+ 1.0 (* y y)) 2/3)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (fabs (cbrt (+ 1.0 (* y y)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (fabs (cbrt (+ 1.0 (* y y)))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (cbrt (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ (pow 1.0 3) (pow y 6))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (- (* 1.0 1.0) (pow y 4))))) (+ (* (cbrt 1.0) (+ 1 (* y (* y 0.3333333333333333)))) (* (pow y 4) (- (* 0.05555555555555555 (cbrt 1.0)) (* 1/6 (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt (* y y)) (* (/ (cbrt (* y y)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (cbrt (pow (/ -1 y) -2)) (* (/ (cbrt (pow (/ -1 y) -2)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (* (cbrt 1.0) (+ 1 (* y (* y 0.3333333333333333)))) (* (pow y 4) (- (* 0.05555555555555555 (cbrt 1.0)) (* 1/6 (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt (* y y)) (* (/ (cbrt (* y y)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (cbrt (pow (/ -1 y) -2)) (* (/ (cbrt (pow (/ -1 y) -2)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (sqrt 1.0) (+ (* 1/2 (* (/ y (sqrt 1.0)) y)) (* (/ (pow y 4) (* 1.0 (sqrt 1.0))) -1/8))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (* (* (fabs (cbrt (+ 1.0 (* y y)))) (pow 1.0 1/6)) (+ 1 (* (* y y) 0.16666666666666666))) (* (* (pow y 4) (fabs (cbrt (+ 1.0 (* y y))))) (- (* (pow 1.0 1/6) 0.013888888888888888) (* 1/12 (pow (/ 1 (pow 1.0 11)) 1/6))))) (+ (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (* y y) 1/6)) (* (* (fabs (cbrt (+ 1.0 (* y y)))) (/ (pow (* y y) 1/6) (* y y))) (- 0.16666666666666666 (/ 0.06944444444444445 (* y y))))) (+ (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (pow (/ -1 y) -2) 1/6)) (* (* (fabs (cbrt (+ 1.0 (* y y)))) (/ (pow (pow (/ -1 y) -2) 1/6) (* y y))) (- 0.16666666666666666 (/ 0.06944444444444445 (* y y))))) 0.403 * * * [progress]: adding candidates to table 0.602 * * [progress]: iteration 4 / 4 0.603 * * * [progress]: picking best candidate 0.608 * * * * [pick]: Picked # 0.608 * * * [progress]: localizing error 0.618 * * * [progress]: generating rewritten candidates 0.618 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.622 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.624 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.627 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.644 * * * [progress]: generating series expansions 0.644 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.645 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of 1.0 in y 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of 1.0 in y 0.646 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of 1.0 in y 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of 1.0 in y 0.647 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of 1.0 in y 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of 1.0 in y 0.648 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.648 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.648 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 1.0 in y 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.648 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 1.0 in y 0.649 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 1.0 in y 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 1.0 in y 0.650 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of 1.0 in y 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of 1.0 in y 0.651 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.651 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.651 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of 1.0 in y 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.652 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of 1.0 in y 0.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of 1.0 in y 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of 1.0 in y 0.654 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 1.0 in y 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 1.0 in y 0.655 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.655 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.655 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 1.0 in y 0.655 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of 1.0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of 1.0 in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 1.0 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.660 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.660 * [taylor]: Taking taylor expansion of -1 in y 0.660 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of 1.0 in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.661 * [taylor]: Taking taylor expansion of -1 in y 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 1.0 in y 0.662 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * * * [progress]: simplifying candidates 0.668 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (exp (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt 1) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ 1.0 (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) 3)) (cbrt (pow (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) 3)) (cbrt (pow (sqrt (- 1.0 (* y y))) 3)) (* (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (cbrt (pow (sqrt (+ 1.0 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1.0) (* (* y y) (* y y))))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.730 * * [simplify]: iteration 0 : 4951 enodes (cost 1237 ) 0.730 * * [simplify]: iteration 1 : 4951 enodes (cost 1237 ) 0.735 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) 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5)) (* (sqrt (+ 1.0 (* y y))) (* (fabs (cbrt (+ 1.0 (* y y)))) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* (sqrt (+ 1.0 (* y y))) (* (fabs (cbrt (+ 1.0 (* y y)))) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (pow (cbrt (+ 1.0 (* y y))) 2) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) x)) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (sqrt (+ 1.0 (* y y))) (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3/2)) x)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) x) (+ 1.0 (* y y)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (+ (sqrt 1.0) (* (* (/ y (sqrt 1.0)) y) (- 1/2 (/ (* (* y y) 1/8) 1.0)))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (sqrt 1.0) (* (* (/ y (sqrt 1.0)) y) (- 1/2 (/ (* (* y y) 1/8) 1.0)))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (sqrt 1.0) (* (* (/ y (sqrt 1.0)) y) (- 1/2 (/ (* (* y y) 1/8) 1.0)))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (* 1.0 x) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) 0.736 * * * [progress]: adding candidates to table 0.895 * [progress]: [Phase 3 of 3] Extracting. 0.895 * * [regime]: Finding splitpoints for: (# # # # #) 0.896 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 0.896 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.937 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 0.974 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # #) 1.015 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.056 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.097 * * * [regime]: Found split indices: #