10.367 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.047 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.048 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.050 * * [simplify]: iteration done : 16 enodes (cost 13 ) 0.050 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.092 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.098 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.120 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.126 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 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 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.183 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.186 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.211 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.211 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.211 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.215 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.215 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.261 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.262 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.262 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.262 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.264 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.312 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.373 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.373 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.377 * [taylor]: Taking taylor expansion of -1 in x 0.377 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.455 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.455 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.461 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.461 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.596 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.596 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.596 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.602 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.602 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.676 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.676 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.676 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.676 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.685 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.685 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.685 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.779 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.779 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.779 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.779 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.780 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.795 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.817 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.817 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.839 * * * [progress]: simplifying candidates 0.847 * [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)))) (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)) (- (sqrt (- 1.0 (* x x)))) (- 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 (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x 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)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (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)) 1) (/ (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)))) 1) (/ (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 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)))) (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)))) (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)))) (- (+ (/ (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) 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)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -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 -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.854 * * [simplify]: iteration 0 : 226 enodes (cost 1924 ) 0.893 * * [simplify]: iteration 1 : 513 enodes (cost 1800 ) 1.024 * * [simplify]: iteration 2 : 1706 enodes (cost 1665 ) 1.477 * * [simplify]: iteration done : 5001 enodes (cost 1665 ) 1.478 * [simplify]: Simplified to: (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 (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2) (+ (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)))) (- (* (/ 1.0 x) (/ 1.0 x)) (/ (- 1.0 (* x 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))) 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)) (- (sqrt (- 1.0 (* x x)))) (- 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))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x 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(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)))) (* (sqrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x))))) x) (* x (sqrt (+ 1.0 (* x x)))) (* 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 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (- (log (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 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (* x (+ 1.0 (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))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (/ (- 1.0 (* x 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)))) (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 6))) (sqrt (+ (* 1.0 1.0) (* (* x x) (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ (- (/ 1.0 x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (/ (sqrt 1.0) x)) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (+ (sqrt -1) (/ 1.0 x))) (- (/ 1.0 x) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3))))) (- (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) (- (- (log (+ (sqrt 1.0) 1.0)) (+ (/ 1/8 (/ (* 1.0 (+ 1.0 (pow (sqrt 1.0) 3))) (pow x 4))) (/ (* 1/2 (* x x)) (+ 1.0 (pow (sqrt 1.0) 3))))) (+ (/ (* 1/8 (pow x 4)) (* (pow (+ (sqrt 1.0) 1.0) 2) 1.0)) (log x))) (- (+ (log (sqrt -1)) (/ 1.0 (* x (sqrt -1)))) (/ 0.16666666666666666 (* (pow x 3) (pow (sqrt -1) 3)))) (- (+ (log (- (sqrt -1))) (/ 0.16666666666666666 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (/ 0.5 (* x (sqrt -1))) (* x (sqrt -1))) (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3)))) (- (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3))) (+ (/ 0.5 (* x (sqrt -1))) (* x (sqrt -1)))) 1.479 * * * [progress]: adding candidates to table 1.856 * * [progress]: iteration 2 / 4 1.857 * * * [progress]: picking best candidate 1.862 * * * * [pick]: Picked # 1.862 * * * [progress]: localizing error 1.877 * * * [progress]: generating rewritten candidates 1.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.088 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.133 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.179 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.210 * * * [progress]: generating series expansions 2.210 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.210 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 2.210 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.210 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.210 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.210 * [taylor]: Taking taylor expansion of 1.0 in x 2.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.213 * [taylor]: Taking taylor expansion of 1.0 in x 2.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.213 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.213 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.213 * [taylor]: Taking taylor expansion of 1.0 in x 2.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.215 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.215 * [taylor]: Taking taylor expansion of 1.0 in x 2.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.263 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 2.263 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.263 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.263 * [taylor]: Taking taylor expansion of x in x 2.263 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.263 * [taylor]: Taking taylor expansion of 1.0 in x 2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.263 * [taylor]: Taking taylor expansion of x in x 2.266 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.266 * [taylor]: Taking taylor expansion of 1.0 in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.266 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.267 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.267 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.267 * [taylor]: Taking taylor expansion of 1.0 in x 2.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.270 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.270 * [taylor]: Taking taylor expansion of 1.0 in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.289 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in (x) around 0 2.289 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 2.289 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.289 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.289 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.289 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.289 * [taylor]: Taking taylor expansion of 1.0 in x 2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.305 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 2.305 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.305 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.305 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.305 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.305 * [taylor]: Taking taylor expansion of x in x 2.305 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.305 * [taylor]: Taking taylor expansion of 1.0 in x 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.305 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.309 * [taylor]: Taking taylor expansion of 1.0 in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.408 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.408 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.408 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.408 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.408 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.408 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.415 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.415 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.415 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.415 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.415 * [taylor]: Taking taylor expansion of 1.0 in x 2.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.416 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.417 * [taylor]: Taking taylor expansion of 1.0 in x 2.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.417 * [taylor]: Taking taylor expansion of x in x 2.515 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.515 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.515 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.515 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.515 * [taylor]: Taking taylor expansion of x in x 2.515 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.515 * [taylor]: Taking taylor expansion of x in x 2.518 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.534 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.534 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.534 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.534 * [taylor]: Taking taylor expansion of x in x 2.534 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.534 * [taylor]: Taking taylor expansion of 1.0 in x 2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.534 * [taylor]: Taking taylor expansion of x in x 2.537 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.537 * [taylor]: Taking taylor expansion of 1.0 in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.570 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 2.570 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.570 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.570 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.570 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.570 * [taylor]: Taking taylor expansion of 1.0 in x 2.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.573 * [taylor]: Taking taylor expansion of 1.0 in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.588 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.588 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.588 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.588 * [taylor]: Taking taylor expansion of 1.0 in x 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.591 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.647 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.647 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.647 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.647 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.647 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.647 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.647 * [taylor]: Taking taylor expansion of 1.0 in x 2.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.647 * [taylor]: Taking taylor expansion of x in x 2.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.649 * [taylor]: Taking taylor expansion of 1.0 in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.652 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.652 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.652 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.652 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.652 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.652 * [taylor]: Taking taylor expansion of 1.0 in x 2.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.652 * [taylor]: Taking taylor expansion of x in x 2.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.654 * [taylor]: Taking taylor expansion of x in x 2.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.654 * [taylor]: Taking taylor expansion of 1.0 in x 2.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.654 * [taylor]: Taking taylor expansion of x in x 2.731 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.731 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.731 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.731 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.731 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.731 * [taylor]: Taking taylor expansion of 1.0 in x 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.744 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.744 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.747 * [taylor]: Taking taylor expansion of 1.0 in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.780 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 2.780 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.780 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.780 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.780 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.780 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.780 * [taylor]: Taking taylor expansion of 1.0 in x 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.783 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.783 * [taylor]: Taking taylor expansion of 1.0 in x 2.783 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.804 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.804 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.804 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.804 * [taylor]: Taking taylor expansion of 1.0 in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.807 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.807 * [taylor]: Taking taylor expansion of 1.0 in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.857 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 2.857 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.857 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.857 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.857 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.857 * [taylor]: Taking taylor expansion of 1.0 in x 2.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.857 * [taylor]: Taking taylor expansion of x in x 2.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.858 * [taylor]: Taking taylor expansion of 1.0 in x 2.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.859 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.859 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.859 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.859 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.859 * [taylor]: Taking taylor expansion of 1.0 in x 2.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.859 * [taylor]: Taking taylor expansion of x in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.860 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.860 * [taylor]: Taking taylor expansion of 1.0 in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.909 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 2.909 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.909 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.909 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.909 * [taylor]: Taking taylor expansion of 1.0 in x 2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.912 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.912 * [taylor]: Taking taylor expansion of 1.0 in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.912 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.912 * [taylor]: Taking taylor expansion of 1.0 in x 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.915 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.915 * [taylor]: Taking taylor expansion of 1.0 in x 2.915 * [taylor]: Taking taylor expansion of x in x 2.933 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.933 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.933 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.933 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.933 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.933 * [taylor]: Taking taylor expansion of 1.0 in x 2.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.936 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.936 * [taylor]: Taking taylor expansion of 1.0 in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.936 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.936 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.936 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.937 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.937 * [taylor]: Taking taylor expansion of 1.0 in x 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.939 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.940 * [taylor]: Taking taylor expansion of 1.0 in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.970 * * * [progress]: simplifying candidates 2.973 * [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)) (+ 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(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))) 2.987 * * [simplify]: iteration 0 : 236 enodes (cost 4553 ) 3.034 * * [simplify]: iteration 1 : 508 enodes (cost 3433 ) 3.161 * * [simplify]: iteration 2 : 1986 enodes (cost 3177 ) 3.744 * * [simplify]: iteration done : 5000 enodes (cost 3175 ) 3.745 * [simplify]: Simplified to: 1 1 2 1 1 (* (+ (/ 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)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 2 (log (+ (/ 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))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (* (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) (* (+ (/ 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))) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (* x x) (* (sqrt (* x (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x)))) (fabs x)) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (* x (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (fabs x)) (* (sqrt (* x (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x)))) (fabs x)) (+ (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))) (* (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 (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 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 (* x (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (fabs 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 (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x)))) (sqrt (- (/ 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)) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (pow (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 3)) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 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))) (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 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (/ 1 (* (cbrt x) (cbrt x))) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) 1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* 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 (+ (/ 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))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 1 2 1 (* (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))) (fabs (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (pow (sqrt (sqrt (+ (/ 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))) (sqrt (/ 1 (* (cbrt x) (cbrt x))))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt 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 x))) (pow (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 3) (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 (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (pow (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 3) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (* (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt 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 (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (pow (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 3) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (* (sqrt (* x (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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) (/ (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 (* x (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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) (/ (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))))) (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)))) (pow (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (fabs (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)))) 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)))) 1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (* x (+ 1.0 (sqrt (- 1.0 (* x x)))))) (fabs x) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 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)))) (pow (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (fabs (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)))) 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)))) 1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 1 (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (* x (+ 1.0 (sqrt (- 1.0 (* x x)))))) (fabs x) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 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)))) (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 (+ 1.0 (sqrt (- 1.0 (* x x))))) (* x x) (+ (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)))) (- (- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (+ (/ 1.0 x) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (- (/ 1.0 x) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (- (- (* +nan.0 (sqrt 1.0)) (+ (- (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 (/ (pow x 2) (sqrt 1.0)))) (- (* +nan.0 (* x (sqrt 1.0))) (+ (- (* +nan.0 x) (* +nan.0 (* (pow x 2) (sqrt 1.0)))) (+ (- (* +nan.0 (* 1.0 x)) (* (* +nan.0 (pow x 2)) 1.0)) +nan.0))))) (* +nan.0 (pow x 2))) (+ (* (/ 0.125 (* x x)) (sqrt (/ -1 (sqrt -1)))) (+ (sqrt (sqrt -1)) (/ (* (sqrt (/ 1 (sqrt -1))) 0.5) x))) (- (- (+ (/ (/ 0.5 x) (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1)))) (/ 0.25 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))) (/ 0.125 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (- (- (* +nan.0 (sqrt 1.0)) (+ (- (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 (/ (pow x 2) (sqrt 1.0)))) (- (* +nan.0 (* x (sqrt 1.0))) (+ (- (* +nan.0 x) (* +nan.0 (* (pow x 2) (sqrt 1.0)))) (+ (- (* +nan.0 (* 1.0 x)) (* (* +nan.0 (pow x 2)) 1.0)) +nan.0))))) (* +nan.0 (pow x 2))) (+ (* (/ 0.125 (* x x)) (sqrt (/ -1 (sqrt -1)))) (+ (sqrt (sqrt -1)) (/ (* (sqrt (/ 1 (sqrt -1))) 0.5) x))) (- (- (+ (/ (/ 0.5 x) (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1)))) (/ 0.25 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))) (/ 0.125 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (- (- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (+ (/ 1.0 x) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (- (/ 1.0 x) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) 3.747 * * * [progress]: adding candidates to table 4.158 * * [progress]: iteration 3 / 4 4.158 * * * [progress]: picking best candidate 4.162 * * * * [pick]: Picked # 4.162 * * * [progress]: localizing error 4.182 * * * [progress]: generating rewritten candidates 4.183 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 4.501 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.746 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2) 4.754 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 4.769 * * * [progress]: generating series expansions 4.769 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 4.770 * [approximate]: Taking taylor expansion of (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in (x) around 0 4.770 * [taylor]: Taking taylor expansion of (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 4.770 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.770 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 4.770 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 4.770 * [taylor]: Taking taylor expansion of 1.0 in x 4.770 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.770 * [taylor]: Taking taylor expansion of x in x 4.772 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 4.772 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 4.772 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.772 * [taylor]: Taking taylor expansion of 1.0 in x 4.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.772 * [taylor]: Taking taylor expansion of x in x 4.772 * [taylor]: Taking taylor expansion of x in x 4.774 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.774 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.774 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.774 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.774 * [taylor]: Taking taylor expansion of 1.0 in x 4.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.774 * [taylor]: Taking taylor expansion of x in x 4.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.781 * [taylor]: Taking taylor expansion of x in x 4.781 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.781 * [taylor]: Taking taylor expansion of 1.0 in x 4.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.781 * [taylor]: Taking taylor expansion of x in x 4.792 * [taylor]: Taking taylor expansion of (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 4.792 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.792 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 4.792 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 4.792 * [taylor]: Taking taylor expansion of 1.0 in x 4.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.794 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 4.794 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 4.794 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.794 * [taylor]: Taking taylor expansion of 1.0 in x 4.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.794 * [taylor]: Taking taylor expansion of x in x 4.794 * [taylor]: Taking taylor expansion of x in x 4.796 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.796 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.796 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.796 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.796 * [taylor]: Taking taylor expansion of 1.0 in x 4.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.796 * [taylor]: Taking taylor expansion of x in x 4.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.798 * [taylor]: Taking taylor expansion of 1.0 in x 4.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.930 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 4.930 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.930 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.930 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 4.930 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 4.930 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.930 * [taylor]: Taking taylor expansion of 1.0 in x 4.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.934 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 4.935 * [taylor]: Taking taylor expansion of 1.0 in x 4.935 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.935 * [taylor]: Taking taylor expansion of x in x 4.936 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.936 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.936 * [taylor]: Taking taylor expansion of x in x 4.936 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.936 * [taylor]: Taking taylor expansion of 1.0 in x 4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.936 * [taylor]: Taking taylor expansion of x in x 4.939 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.939 * [taylor]: Taking taylor expansion of 1.0 in x 4.939 * [taylor]: Taking taylor expansion of x in x 4.995 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.995 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.995 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 4.995 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 4.995 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 4.995 * [taylor]: Taking taylor expansion of x in x 4.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.995 * [taylor]: Taking taylor expansion of 1.0 in x 4.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.996 * [taylor]: Taking taylor expansion of x in x 5.001 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 5.001 * [taylor]: Taking taylor expansion of 1.0 in x 5.001 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.001 * [taylor]: Taking taylor expansion of x in x 5.002 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.002 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.003 * [taylor]: Taking taylor expansion of x in x 5.003 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.003 * [taylor]: Taking taylor expansion of 1.0 in x 5.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.003 * [taylor]: Taking taylor expansion of x in x 5.006 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.007 * [taylor]: Taking taylor expansion of 1.0 in x 5.007 * [taylor]: Taking taylor expansion of x in x 5.275 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))))) in (x) around 0 5.276 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))))) in x 5.276 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.276 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.276 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.276 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.276 * [taylor]: Taking taylor expansion of x in x 5.276 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.276 * [taylor]: Taking taylor expansion of 1.0 in x 5.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.276 * [taylor]: Taking taylor expansion of x in x 5.279 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.280 * [taylor]: Taking taylor expansion of 1.0 in x 5.280 * [taylor]: Taking taylor expansion of x in x 5.294 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 5.295 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 5.295 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 5.295 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.295 * [taylor]: Taking taylor expansion of 1.0 in x 5.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.295 * [taylor]: Taking taylor expansion of x in x 5.298 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.298 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.298 * [taylor]: Taking taylor expansion of -1 in x 5.298 * [taylor]: Taking taylor expansion of x in x 5.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 5.300 * [taylor]: Taking taylor expansion of 1.0 in x 5.300 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.300 * [taylor]: Taking taylor expansion of -1 in x 5.300 * [taylor]: Taking taylor expansion of x in x 5.305 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))))) in x 5.305 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.305 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.305 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.305 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.305 * [taylor]: Taking taylor expansion of x in x 5.305 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.305 * [taylor]: Taking taylor expansion of 1.0 in x 5.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.306 * [taylor]: Taking taylor expansion of x in x 5.316 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [taylor]: Taking taylor expansion of x in x 5.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 5.332 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 5.332 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 5.332 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.332 * [taylor]: Taking taylor expansion of 1.0 in x 5.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.332 * [taylor]: Taking taylor expansion of x in x 5.335 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.335 * [taylor]: Taking taylor expansion of -1 in x 5.335 * [taylor]: Taking taylor expansion of x in x 5.337 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 5.337 * [taylor]: Taking taylor expansion of 1.0 in x 5.337 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.337 * [taylor]: Taking taylor expansion of -1 in x 5.337 * [taylor]: Taking taylor expansion of x in x 5.831 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.832 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))))) in (x) around 0 5.832 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))))) in x 5.832 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 5.832 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 5.832 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 5.832 * [taylor]: Taking taylor expansion of 1/4 in x 5.832 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.832 * [taylor]: Taking taylor expansion of x in x 5.833 * [taylor]: Taking taylor expansion of (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 5.833 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 5.833 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 5.833 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 5.833 * [taylor]: Taking taylor expansion of 1.0 in x 5.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.833 * [taylor]: Taking taylor expansion of x in x 5.835 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 5.835 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 5.835 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.835 * [taylor]: Taking taylor expansion of 1.0 in x 5.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.835 * [taylor]: Taking taylor expansion of x in x 5.835 * [taylor]: Taking taylor expansion of x in x 5.837 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 5.837 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 5.837 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 5.837 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.837 * [taylor]: Taking taylor expansion of 1.0 in x 5.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.837 * [taylor]: Taking taylor expansion of x in x 5.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.839 * [taylor]: Taking taylor expansion of x in x 5.839 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 5.839 * [taylor]: Taking taylor expansion of 1.0 in x 5.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.839 * [taylor]: Taking taylor expansion of x in x 5.851 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))))) in x 5.851 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 5.851 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 5.851 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 5.851 * [taylor]: Taking taylor expansion of 1/4 in x 5.851 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.851 * [taylor]: Taking taylor expansion of x in x 5.852 * [taylor]: Taking taylor expansion of (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 5.852 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 5.853 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 5.853 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 5.853 * [taylor]: Taking taylor expansion of 1.0 in x 5.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.853 * [taylor]: Taking taylor expansion of x in x 5.854 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 5.854 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 5.854 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.854 * [taylor]: Taking taylor expansion of 1.0 in x 5.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.854 * [taylor]: Taking taylor expansion of x in x 5.854 * [taylor]: Taking taylor expansion of x in x 5.856 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 5.856 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 5.856 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 5.856 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.856 * [taylor]: Taking taylor expansion of 1.0 in x 5.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.856 * [taylor]: Taking taylor expansion of x in x 5.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.857 * [taylor]: Taking taylor expansion of x in x 5.858 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 5.858 * [taylor]: Taking taylor expansion of 1.0 in x 5.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.858 * [taylor]: Taking taylor expansion of x in x 5.995 * [approximate]: Taking taylor expansion of (* (pow x 1/4) (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))))) in (x) around 0 5.995 * [taylor]: Taking taylor expansion of (* (pow x 1/4) (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))))) in x 5.995 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 5.995 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 5.995 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 5.995 * [taylor]: Taking taylor expansion of 1/4 in x 5.995 * [taylor]: Taking taylor expansion of (log x) in x 5.995 * [taylor]: Taking taylor expansion of x in x 5.995 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.995 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.995 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 5.995 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 5.996 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 5.996 * [taylor]: Taking taylor expansion of x in x 5.996 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.996 * [taylor]: Taking taylor expansion of 1.0 in x 5.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.996 * [taylor]: Taking taylor expansion of x in x 6.000 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 6.000 * [taylor]: Taking taylor expansion of 1.0 in x 6.000 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.001 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 6.001 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 6.001 * [taylor]: Taking taylor expansion of x in x 6.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.001 * [taylor]: Taking taylor expansion of 1.0 in x 6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.001 * [taylor]: Taking taylor expansion of x in x 6.010 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 6.010 * [taylor]: Taking taylor expansion of 1.0 in x 6.011 * [taylor]: Taking taylor expansion of x in x 6.057 * [taylor]: Taking taylor expansion of (* (pow x 1/4) (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))))) in x 6.058 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 6.058 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 6.058 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 6.058 * [taylor]: Taking taylor expansion of 1/4 in x 6.058 * [taylor]: Taking taylor expansion of (log x) in x 6.058 * [taylor]: Taking taylor expansion of x in x 6.058 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 6.058 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 6.058 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 6.058 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 6.058 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 6.058 * [taylor]: Taking taylor expansion of x in x 6.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.058 * [taylor]: Taking taylor expansion of 1.0 in x 6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.058 * [taylor]: Taking taylor expansion of x in x 6.063 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 6.063 * [taylor]: Taking taylor expansion of 1.0 in x 6.063 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.063 * [taylor]: Taking taylor expansion of x in x 6.064 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 6.064 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 6.064 * [taylor]: Taking taylor expansion of x in x 6.064 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.064 * [taylor]: Taking taylor expansion of 1.0 in x 6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.064 * [taylor]: Taking taylor expansion of x in x 6.067 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 6.067 * [taylor]: Taking taylor expansion of 1.0 in x 6.067 * [taylor]: Taking taylor expansion of x in x 6.298 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))))) in (x) around 0 6.299 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))))) in x 6.299 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 6.299 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 6.299 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 6.299 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 6.299 * [taylor]: Taking taylor expansion of x in x 6.299 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.299 * [taylor]: Taking taylor expansion of 1.0 in x 6.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.299 * [taylor]: Taking taylor expansion of x in x 6.302 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 6.302 * [taylor]: Taking taylor expansion of 1.0 in x 6.302 * [taylor]: Taking taylor expansion of x in x 6.323 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x)))) in x 6.323 * [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 6.323 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 6.323 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 6.323 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.323 * [taylor]: Taking taylor expansion of 1.0 in x 6.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.323 * [taylor]: Taking taylor expansion of x in x 6.326 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 6.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.326 * [taylor]: Taking taylor expansion of -1 in x 6.326 * [taylor]: Taking taylor expansion of x in x 6.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 6.328 * [taylor]: Taking taylor expansion of 1.0 in x 6.328 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 6.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.328 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.328 * [taylor]: Taking taylor expansion of -1 in x 6.328 * [taylor]: Taking taylor expansion of x in x 6.330 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.330 * [taylor]: Taking taylor expansion of -1 in x 6.330 * [taylor]: Taking taylor expansion of x in x 6.336 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))))) in x 6.336 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 6.336 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 6.336 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 6.336 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 6.336 * [taylor]: Taking taylor expansion of x in x 6.336 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.336 * [taylor]: Taking taylor expansion of 1.0 in x 6.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.336 * [taylor]: Taking taylor expansion of x in x 6.339 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 6.339 * [taylor]: Taking taylor expansion of 1.0 in x 6.339 * [taylor]: Taking taylor expansion of x in x 6.354 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x)))) in x 6.355 * [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 6.355 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 6.355 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 6.355 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.355 * [taylor]: Taking taylor expansion of 1.0 in x 6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.355 * [taylor]: Taking taylor expansion of x in x 6.358 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 6.358 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.358 * [taylor]: Taking taylor expansion of -1 in x 6.358 * [taylor]: Taking taylor expansion of x in x 6.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 6.360 * [taylor]: Taking taylor expansion of 1.0 in x 6.360 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 6.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.360 * [taylor]: Taking taylor expansion of -1 in x 6.360 * [taylor]: Taking taylor expansion of x in x 6.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.362 * [taylor]: Taking taylor expansion of -1 in x 6.362 * [taylor]: Taking taylor expansion of x in x 6.901 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2) 6.902 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 6.902 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 6.902 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 6.902 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 6.902 * [taylor]: Taking taylor expansion of 1.0 in x 6.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.902 * [taylor]: Taking taylor expansion of x in x 6.902 * [taylor]: Taking taylor expansion of x in x 6.903 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 6.903 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 6.904 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 6.904 * [taylor]: Taking taylor expansion of 1.0 in x 6.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.904 * [taylor]: Taking taylor expansion of x in x 6.904 * [taylor]: Taking taylor expansion of x in x 6.912 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 6.912 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 6.912 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 6.913 * [taylor]: Taking taylor expansion of x in x 6.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.913 * [taylor]: Taking taylor expansion of 1.0 in x 6.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.913 * [taylor]: Taking taylor expansion of x in x 6.917 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 6.917 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 6.917 * [taylor]: Taking taylor expansion of x in x 6.917 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.917 * [taylor]: Taking taylor expansion of 1.0 in x 6.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.917 * [taylor]: Taking taylor expansion of x in x 6.941 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 6.941 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 6.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.941 * [taylor]: Taking taylor expansion of 1.0 in x 6.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.941 * [taylor]: Taking taylor expansion of x in x 6.944 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 6.944 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.944 * [taylor]: Taking taylor expansion of -1 in x 6.944 * [taylor]: Taking taylor expansion of x in x 6.946 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 6.946 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 6.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 6.946 * [taylor]: Taking taylor expansion of 1.0 in x 6.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.946 * [taylor]: Taking taylor expansion of x in x 6.949 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 6.950 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 6.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.950 * [taylor]: Taking taylor expansion of -1 in x 6.950 * [taylor]: Taking taylor expansion of x in x 6.981 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 6.981 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 6.981 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 6.981 * [taylor]: Taking taylor expansion of 1.0 in x 6.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.981 * [taylor]: Taking taylor expansion of x in x 6.982 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 6.982 * [taylor]: Taking taylor expansion of 1.0 in x 6.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.983 * [taylor]: Taking taylor expansion of x in x 6.995 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 6.995 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 6.995 * [taylor]: Taking taylor expansion of 1.0 in x 6.995 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.995 * [taylor]: Taking taylor expansion of x in x 6.997 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 6.997 * [taylor]: Taking taylor expansion of 1.0 in x 6.997 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.997 * [taylor]: Taking taylor expansion of x in x 7.009 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 7.010 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 7.010 * [taylor]: Taking taylor expansion of 1.0 in x 7.010 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.010 * [taylor]: Taking taylor expansion of -1 in x 7.010 * [taylor]: Taking taylor expansion of x in x 7.011 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 7.012 * [taylor]: Taking taylor expansion of 1.0 in x 7.012 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.012 * [taylor]: Taking taylor expansion of -1 in x 7.012 * [taylor]: Taking taylor expansion of x in x 7.037 * * * [progress]: simplifying candidates 7.043 * [simplify]: Simplifying using # : (* (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (log (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (exp (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) 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 (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt 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 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (* (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x)))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (* (sqrt x) (sqrt x))) (sqrt (* x x))) (* (sqrt (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x)))))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (* (sqrt x) (sqrt 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 (sqrt x)) (* (sqrt 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 (* (sqrt x) (sqrt x))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (+ (* (/ 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)))))) (sqrt (* x x))) (* (sqrt (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (+ (* (/ 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)))))) (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 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* (/ 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)))))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (- (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (* x x))) (* (sqrt (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (- (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) 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+nan.0 (/ (sqrt -1) (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3))))) (+ (- (* +nan.0 (/ (pow (sqrt -1) 2) (* (pow x 2) (sqrt (- (sqrt -1)))))) (* +nan.0 (/ (sqrt (- (sqrt -1))) (* (pow x 2) (sqrt -1))))) (- (* +nan.0 (/ (sqrt (- (sqrt -1))) (pow x 2))) (* +nan.0 (- (/ (* (sqrt (- (sqrt -1))) (pow (sqrt -1) 2)) (pow x 2)) (/ (* (pow (sqrt -1) 2) (sqrt (- (sqrt -1)))) x))))))))))) (- (- (* +nan.0 (pow x 2)) (- (* +nan.0 x) +nan.0))) (- (- (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)) +nan.0))) (- (+ (- (* +nan.0 (/ (sqrt -1) x)) (* +nan.0 (sqrt -1))) (* +nan.0 (- (/ 1 (* x (sqrt -1))) (* x (sqrt -1)))))) (- (- (* +nan.0 (pow x 2)) (- (* +nan.0 x) +nan.0))) (- (- (* +nan.0 (/ 1 (pow x 2))) (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))))) (- (- (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)) +nan.0))) 7.621 * * * [progress]: adding candidates to table 8.769 * [progress]: [Phase 3 of 3] Extracting. 8.773 * [simplify]: Simplifying using # : (log (* (sqrt (/ 1 (sqrt x))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) 8.773 * * [simplify]: iteration 0 : 20 enodes (cost 36 ) 8.774 * * [simplify]: iteration 1 : 26 enodes (cost 36 ) 8.775 * * [simplify]: iteration done : 26 enodes (cost 36 ) 8.775 * [simplify]: Simplified to: (log (* (sqrt (/ 1 (sqrt x))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) 10.497 * [regime-testing]: End program error score: 0.032742454131217465