3.239 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.068 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.071 * * [simplify]: iteration 0 : 16 enodes (cost 13 ) 0.071 * * [simplify]: iteration 1 : 16 enodes (cost 13 ) 0.071 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.100 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.103 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.110 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.131 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.133 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.133 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.134 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [approximate]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.135 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.135 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.135 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.137 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.141 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.143 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.145 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.148 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.148 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.148 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.148 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.148 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.148 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.153 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.153 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.153 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.153 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.153 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.153 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.156 * [approximate]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.156 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.156 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.156 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.156 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.156 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.157 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.159 * * * [progress]: simplifying candidates 0.161 * [simplify]: Simplifying using # : (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (neg (sqrt (- 1.0 (* x x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) 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1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (/ 1 1)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt (neg 1))))) (+ (sqrt (neg 1)) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt (neg 1))))) (sqrt (neg 1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt (neg 1))))) (sqrt (neg 1))) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt (neg 1)) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt (neg 1))))) (sqrt (neg 1)))) (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt (neg 1))) (* 1.0 (/ 1 (* x (sqrt (neg 1)))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (+ (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (log (neg (sqrt (neg 1))))) (* 1.0 (/ 1 (* x (sqrt (neg 1)))))) 0.211 * * [simplify]: iteration 0 : 4972 enodes (cost 1637 ) 0.212 * * [simplify]: iteration 1 : 4972 enodes (cost 1637 ) 0.218 * [simplify]: Simplified to: (exp (+ (/ 1.0 x) 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(sqrt -1) (- (/ 0.5 (* x (* x (sqrt -1)))) (/ 0.125 (* (pow x 4) (neg (sqrt -1)))))) (- (/ 0.125 (* (pow x 4) (neg (sqrt -1)))) (+ (sqrt -1) (/ 0.5 (* x (* x (sqrt -1)))))) (+ (log (+ 1.0 (sqrt 1.0))) (- (* (/ x (/ (+ 1.0 (* 1.0 (sqrt 1.0))) x)) -1/2) (+ (log x) (* 1/8 (+ (/ (pow x 4) (+ (* 1.0 1.0) (pow (sqrt 1.0) 5))) (/ (pow x 4) (* 1.0 (pow (+ 1.0 (sqrt 1.0)) 2)))))))) (+ (log (sqrt -1)) (- (/ 1.0 (* x (sqrt -1))) (/ 0.16666666666666666 (* (pow x 3) (neg (sqrt -1)))))) (+ (/ 0.16666666666666666 (* (pow x 3) (neg (sqrt -1)))) (- (log (neg (sqrt -1))) (/ 1.0 (* x (sqrt -1))))) 0.219 * * * [progress]: adding candidates to table 0.393 * * [progress]: iteration 2 / 4 0.393 * * * [progress]: picking best candidate 0.398 * * * * [pick]: Picked # 0.398 * * * [progress]: localizing error 0.411 * * * [progress]: generating rewritten candidates 0.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.467 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.473 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.489 * * * [progress]: generating series expansions 0.489 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.490 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.495 * [approximate]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.495 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.495 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.495 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.496 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.496 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.501 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 0.501 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 0.501 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.505 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.505 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.506 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.507 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.510 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.521 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.527 * * * [progress]: simplifying candidates 0.530 * [simplify]: Simplifying using # : (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (- 0 (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (- (log 1) (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (log (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (exp (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (* (* 1 1) 1) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (* (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1 (sqrt x))) (* (* (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (cbrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (cbrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (cbrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* 1 (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x)))))) (* (sqrt x) (* (sqrt x) (sqrt x))) (* 1 (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3))) (* (sqrt x) (+ (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (- (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* 1 (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (sqrt x) (- (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (/ 1.0 (sqrt x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt x)) (* (cbrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (cbrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (/ 1 (sqrt x)) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt x)) 1) (* (/ 1 (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (* (cbrt x) (cbrt x))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt 1))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 1)) (* (/ 1 (sqrt x)) 1) (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (cbrt (/ 1 (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (cbrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (cbrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (cbrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3))) (* (/ 1 (sqrt x)) (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* 1 (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (- (log (sqrt (- 1.0 (* x x)))) (log (sqrt x))) (log (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (exp (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (- 1.0 (* x x)) x) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (neg (sqrt (- 1.0 (* x x)))) (neg (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (* (cbrt x) (cbrt x)))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ 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x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (- 1.0 (* x x))) (cbrt (sqrt x))) (/ 1 (fabs (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) 1 (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) 1 (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (- 1.0 (* x x))) (fabs (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (sqrt (- 1.0 (* x x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (sqrt (- 1.0 (* x x))) (/ (sqrt x) (cbrt (sqrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (sqrt (- (sqrt 1.0) x))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (- 1.0 (* x x)))) (* (sqrt x) (sqrt (+ (pow x 4) (* 1.0 (+ 1.0 (* x x)))))) (* (sqrt x) (sqrt (+ 1.0 (* x x)))) (log (/ 1.0 (sqrt x))) (log (/ 1.0 (sqrt x))) (exp (/ 1.0 (sqrt x))) (pow (/ 1.0 (sqrt x)) 3) (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (pow (/ 1.0 (sqrt x)) 3) (sqrt (/ 1.0 (sqrt x))) (sqrt (/ 1.0 (sqrt x))) (neg 1.0) (neg (sqrt x)) (* (/ (cbrt 1.0) (cbrt (sqrt x))) (/ (cbrt 1.0) (cbrt (sqrt x)))) (/ (cbrt 1.0) (cbrt (sqrt x))) (* (/ (cbrt 1.0) (fabs (cbrt x))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (cbrt x))) (* (/ (cbrt 1.0) (sqrt (sqrt x))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt x)) (* (/ (cbrt 1.0) (sqrt (sqrt x))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt x)) (/ (sqrt 1.0) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt 1.0) (cbrt (sqrt x))) (/ (sqrt 1.0) (fabs (cbrt x))) (/ (sqrt 1.0) (sqrt (cbrt x))) (/ (sqrt 1.0) (sqrt (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1.0 (cbrt (sqrt x))) (/ 1 (fabs (cbrt x))) (/ 1.0 (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ 1.0 (sqrt (sqrt x))) 1 (/ 1.0 (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ 1.0 (sqrt (sqrt x))) 1 (/ 1.0 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (/ 1.0 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1.0 (fabs (cbrt x))) (/ 1.0 (sqrt (sqrt x))) 1.0 (/ 1.0 (sqrt (sqrt x))) 1.0 (/ (sqrt x) (cbrt 1.0)) (/ (sqrt x) (sqrt 1.0)) (/ (sqrt x) 1.0) -1/2 -1 -1/2 (neg (log (sqrt x))) (neg (log (sqrt x))) (neg (log (sqrt x))) (neg (log (sqrt x))) (exp (/ 1 (sqrt x))) (/ 1 (pow x 3/2)) (* (cbrt (/ 1 (sqrt x))) (cbrt (/ 1 (sqrt x)))) (cbrt (/ 1 (sqrt x))) (/ 1 (pow x 3/2)) (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x))) -1 (neg (sqrt x)) (* (/ (cbrt 1) (cbrt (sqrt x))) (/ (cbrt 1) (cbrt (sqrt x)))) (/ (cbrt 1) (cbrt (sqrt x))) (* (/ (cbrt 1) (fabs (cbrt x))) (cbrt 1)) (/ (cbrt 1) (sqrt (cbrt x))) (* (/ (cbrt 1) (sqrt (sqrt x))) (cbrt 1)) (/ (cbrt 1) (sqrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (sqrt x)) (* (/ (cbrt 1) (sqrt (sqrt x))) (cbrt 1)) (/ (cbrt 1) (sqrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1 (cbrt (sqrt x))) (/ 1 (fabs (cbrt x))) (/ 1 (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1 (cbrt (sqrt x))) (/ 1 (fabs (cbrt x))) (/ 1 (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (sqrt x)) (sqrt x) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1 (fabs (cbrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt (sqrt x))) 1 (/ (sqrt x) (cbrt 1)) (sqrt x) (sqrt x) (+ (* (* x x) (* (pow NAN 6) 7.0)) (+ (* x (* (pow NAN 4) 4.0)) (* NAN (* NAN (+ (* x x) 2.0))))) (+ (* 2 (/ (pow NAN 4) (* x x))) (+ (* 1.0 (/ NAN (/ (pow x 3) NAN))) (+ (* 2.0 (/ (pow NAN 4) (pow x 3))) (* (+ (/ 1.0 x) 1) (/ NAN (/ x NAN)))))) (+ (/ 1.0 (* NAN NAN)) (- (/ 2.0 x) (+ (* (/ x NAN) (/ (sqrt -1) NAN)) (+ (/ 0.5 (* x (* NAN (* NAN (sqrt -1))))) (* (sqrt -1) (+ 2 (/ NAN (/ x NAN)))))))) (+ NAN (+ (* x (pow NAN 3)) (* (* x x) (+ (* 2 (pow NAN 5)) NAN)))) (+ NAN (+ (/ (pow NAN 3) x) (+ (* 1.0 (/ NAN (* x x))) (* (/ (pow NAN 5) (* x x)) -2)))) (- (/ (neg 0.5) (* x (* NAN (sqrt -1)))) (* (sqrt -1) (+ NAN (/ x NAN)))) (* 1.0 (+ NAN (* x (+ (* x (pow NAN 5)) (pow NAN 3))))) (* 1.0 (+ (/ NAN x) (+ (/ (pow NAN 5) (pow x 3)) (/ (pow NAN 3) (* x x))))) (+ (* 1.0 (/ NAN x)) (/ 1.0 NAN)) (+ NAN (* x (+ (* x (pow NAN 5)) (pow NAN 3)))) (+ (/ NAN x) (+ (/ (pow NAN 5) (pow x 3)) (/ (pow NAN 3) (* x x)))) (+ (/ NAN x) (/ 1 NAN)) 0.591 * * * [progress]: adding candidates to table 0.880 * * [progress]: iteration 3 / 4 0.880 * * * [progress]: picking best candidate 0.883 * * * * [pick]: Picked # 0.883 * * * [progress]: localizing error 0.895 * * * [progress]: generating rewritten candidates 0.895 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.939 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.956 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.977 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.001 * * * [progress]: generating series expansions 1.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.001 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.002 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.004 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 1.004 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.004 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.004 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.006 * [approximate]: Taking taylor expansion of (pow (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 1.006 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.006 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.006 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.006 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.006 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 1.007 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.007 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.007 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.007 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.009 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.009 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 1.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.009 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.009 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.010 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.014 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.014 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.014 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.014 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.014 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.014 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.014 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.015 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [approximate]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 1.016 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.016 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.016 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.016 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.016 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.017 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.017 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.017 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.019 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.019 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.019 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.020 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.020 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.024 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.024 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.024 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.024 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.024 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [approximate]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.026 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.026 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.026 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.027 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.027 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.032 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.032 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 1.032 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.032 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.032 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.032 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.032 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.034 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.034 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.035 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.035 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.036 * [approximate]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 1.036 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.036 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.036 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.036 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.036 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.037 * [taylor]: Taking taylor expansion of 1.0 in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.038 * * * [progress]: simplifying candidates 1.040 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ 1 1) (+ (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (exp (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (* x x)) (sqrt (* x x))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (* x x)) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (* x x)) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* x x))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (* x x))) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt (/ 1 (* (cbrt x) (cbrt x))))) (* (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))))) (* (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x)))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 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-1/8)))) (+ (/ 1.0 x) (+ (sqrt -1) (/ 0.5 (* x (* x (sqrt -1)))))) (- (/ 1.0 x) (+ (sqrt -1) (/ 0.5 (* x (* x (sqrt -1)))))) 1.103 * * * [progress]: adding candidates to table 1.375 * [progress]: [Phase 3 of 3] Extracting. 1.375 * * [regime]: Finding splitpoints for: (# #) 1.375 * * * [regime-changes]: Trying 2 branch expressions: ((+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) x) 1.375 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 1.408 * * * * [regimes]: Trying to branch on x from (# #) 1.434 * * * [regime]: Found split indices: #