51.631 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.045 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.045 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.046 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.047 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.080 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.086 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.103 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.109 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.109 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.116 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.116 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.116 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.117 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.117 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.120 * [approximate]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.120 * [taylor]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.120 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.120 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.120 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.120 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.120 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.120 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.123 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.123 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.128 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.131 * * * * [progress]: [ 3 / 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 0.132 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.134 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 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 0.134 * [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 0.136 * [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 0.136 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.136 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.136 * [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]: [ 4 / 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 0.138 * [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 0.139 * [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 0.139 * [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 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 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 0.140 * [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 0.142 * * * [progress]: simplifying candidates 0.143 * [simplify]: Simplifying using # : (log (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 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)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 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)))) (- (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)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt 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(sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (* (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) 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)))))) (- (/ (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)))) (- (+ (/ (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))))))) 0.150 * * [simplify]: iteration 0 : 512 enodes (cost 1016 ) 0.161 * * [simplify]: iteration 1 : 1817 enodes (cost 965 ) 0.188 * * [simplify]: iteration 2 : 5001 enodes (cost 961 ) 0.194 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 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)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 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)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0 (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)))) (+ (/ 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)))) (pow (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (neg 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(/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (exp (+ (/ 1.0 x) (/ (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))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (+ (sqrt (- 1.0 (* x x))) 1.0)) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 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)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 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) 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 (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (- (log (neg (sqrt -1))) (* 1.0 (/ 1 (* x (sqrt -1))))) (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (+ (/ (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 -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.195 * * * [progress]: adding candidates to table 0.386 * * [progress]: iteration 2 / 4 0.386 * * * [progress]: picking best candidate 0.393 * * * * [pick]: Picked # 0.393 * * * [progress]: localizing error 0.405 * * * [progress]: generating rewritten candidates 0.405 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.425 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.443 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 0.458 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.459 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.459 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.459 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.459 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.459 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.464 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.464 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.464 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.464 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.464 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.466 * [approximate]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.466 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.466 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.467 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.467 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.469 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.469 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.470 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.470 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.474 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.474 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.475 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.477 * [approximate]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.477 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.477 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.477 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.478 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.478 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.478 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.480 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 0.480 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.482 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.484 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 0.487 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.487 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.488 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.492 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.495 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of (* x (sqrt (- 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 (sqrt (- 1.0 (/ 1 (pow x 2)))) 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 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of (* x (sqrt (- 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 (sqrt (- 1.0 (/ 1 (pow x 2)))) 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 0.498 * * * [progress]: simplifying candidates 0.500 * [simplify]: Simplifying using # : (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (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 (+ (/ 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 (* (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 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (/ 1 1)) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (* 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)) (* (/ 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) (/ (sqrt (- 1.0 (* x x))) x))) (/ 1 2) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (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 (+ (/ 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 (* (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 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (/ 1 1)) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt 1) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (* 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)) (* (/ 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) (/ (sqrt (- 1.0 (* x x))) x))) (/ 1 2) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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) (/ 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(sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (+ (* 1.0 (* x (pow NAN 3))) (+ (+ (* 1.0 NAN) (+ (+ (* 1.0 (* x (pow NAN 3))) (+ (* 1/2 (/ (* (pow x 2) NAN) (sqrt 1.0))) (* (sqrt 1.0) (+ NAN (* (* 2.0 x) (pow NAN 3)))))) (* (* (* 6.0 (pow x 2)) (pow NAN 5)) (+ (sqrt 1.0) 1.0)))) (* (* (pow x 2) (pow NAN 5)) (+ (* (pow (sqrt 1.0) 3) 2) 2.0)))) (+ (/ (* 0.5 (sqrt (/ 1 (sqrt -1)))) x) (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (sqrt (sqrt -1)))) (+ (- (sqrt (neg (sqrt -1))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (neg (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt (neg (sqrt -1))) (sqrt -1))))))) (/ (/ 0.5 (sqrt (neg (sqrt -1)))) x)) (+ (* 1.0 (* x (pow NAN 3))) (+ (+ (* 1.0 NAN) (+ (+ (* 1.0 (* x (pow NAN 3))) (+ (* 1/2 (/ (* (pow x 2) NAN) (sqrt 1.0))) (* (sqrt 1.0) (+ NAN (* (* 2.0 x) (pow NAN 3)))))) (* (* (* 6.0 (pow x 2)) (pow NAN 5)) (+ (sqrt 1.0) 1.0)))) (* (* (pow x 2) (pow NAN 5)) (+ (* (pow (sqrt 1.0) 3) 2) 2.0)))) (+ (/ (* 0.5 (sqrt (/ 1 (sqrt -1)))) x) (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (sqrt (sqrt -1)))) (+ (- (sqrt (neg (sqrt -1))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (neg (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt (neg (sqrt -1))) (sqrt -1))))))) (/ (/ 0.5 (sqrt (neg (sqrt -1)))) x)) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.556 * * * [progress]: adding candidates to table 0.947 * * [progress]: iteration 3 / 4 0.947 * * * [progress]: picking best candidate 0.950 * * * * [pick]: Picked # 0.950 * * * [progress]: localizing error 0.967 * * * [progress]: generating rewritten candidates 0.967 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.971 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.975 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.982 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.041 * * * [progress]: generating series expansions 1.041 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.041 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 1.042 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.043 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 1.043 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.044 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.044 * [taylor]: Taking taylor expansion of -1 in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.044 * [taylor]: Taking taylor expansion of -1 in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.049 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.049 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 1.050 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.051 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in (x) around 0 1.051 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.056 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.056 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 1.056 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.056 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.056 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.056 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.056 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.058 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.058 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.058 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.058 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.059 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 1.060 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.060 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.060 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.060 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.060 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.062 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.062 * [approximate]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in (x) around 0 1.062 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in x 1.062 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 1.062 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 1.062 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.062 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 1.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in x 1.062 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 1.062 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 1.062 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.063 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 1.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.066 * [approximate]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in (x) around 0 1.066 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in x 1.066 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 1.066 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 1.066 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.066 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 1.067 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in x 1.067 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 1.067 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 1.067 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.067 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 1.067 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.071 * [approximate]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in x 1.071 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 1.071 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.071 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.071 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 x)))) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in x 1.072 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 1.072 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.072 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.073 * [taylor]: Taking taylor expansion of -1 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 x)))) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.073 * [taylor]: Taking taylor expansion of -1 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.077 * * * [progress]: simplifying candidates 1.080 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt x))) (log (/ 1.0 (sqrt x))) (exp (/ 1.0 (sqrt x))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (* (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (/ 1.0 (sqrt x))) (sqrt (/ 1.0 (sqrt x))) (sqrt (/ 1.0 (sqrt x))) (neg 1.0) (neg (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (cbrt 1.0) (cbrt (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (/ (cbrt 1.0) (sqrt (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt x))) (/ (cbrt 1.0) (sqrt (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt x))) (/ (cbrt 1.0) (sqrt (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt x)) (/ (sqrt 1.0) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt 1.0) (cbrt (sqrt x))) (/ (sqrt 1.0) (sqrt (* (cbrt x) 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NAN) (* 2.0 (* x (pow NAN 2))))))) (- (+ (log (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (+ (* 2 (log NAN)) (+ (* 1.0 (/ 1 x)) (* 2 (/ (pow NAN 2) x)))))) (* 2 (/ (pow NAN 4) (pow x 2)))) (- (+ (log (/ (sqrt (neg 1)) NAN)) (+ (log (/ 1 NAN)) (* 2 (/ (pow NAN 2) x)))) (+ (/ (pow NAN 4) (pow x 2)) (+ (* 1.0 (/ 1 (* x (sqrt (neg 1))))) (log (/ -1 x))))) 1.090 * * [simplify]: iteration 0 : 796 enodes (cost 2055 ) 1.103 * * [simplify]: iteration 1 : 3169 enodes (cost 1885 ) 1.141 * * [simplify]: iteration 2 : 5001 enodes (cost 1841 ) 1.154 * [simplify]: Simplified to: (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 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (cbrt 1.0) (cbrt (sqrt x))) (/ (cbrt 1.0) (/ (fabs (cbrt x)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt 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