15.295 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.071 * * * [progress]: [2/2] Setting up program. 0.074 * [progress]: [Phase 2 of 3] Improving. 0.075 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: Extracting # 1 : cost 0 0.075 * * [simplify]: Extracting # 2 : cost 0 0.075 * * [simplify]: Extracting # 3 : cost 0 0.075 * * [simplify]: Extracting # 4 : cost 0 0.075 * * [simplify]: Extracting # 5 : cost 0 0.075 * * [simplify]: Extracting # 6 : cost 0 0.075 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.080 * * [simplify]: Extracting # 0 : cost 0 0.080 * * [simplify]: Extracting # 1 : cost 0 0.080 * * [simplify]: Extracting # 2 : cost 0 0.080 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: iteration done: 16 enodes (cost 13 ) 0.084 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.088 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.174 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.625 * * * [progress]: generating series expansions 0.625 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.626 * [backup-simplify]: Simplify (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 0.626 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [backup-simplify]: Simplify 1.0 into 1.0 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.627 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [backup-simplify]: Simplify 1.0 into 1.0 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.629 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [backup-simplify]: Simplify 1.0 into 1.0 0.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.629 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [backup-simplify]: Simplify 1.0 into 1.0 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.632 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.632 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.633 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.636 * [backup-simplify]: Simplify (- 1) into -1 0.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.637 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.640 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.643 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.645 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (- 0) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.651 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.654 * [backup-simplify]: Simplify (- 0) into 0 0.654 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.665 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.669 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.671 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.681 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.681 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 0.681 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.681 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [backup-simplify]: Simplify 1.0 into 1.0 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (* 1 1) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [backup-simplify]: Simplify (- 1) into -1 0.682 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.683 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.684 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [backup-simplify]: Simplify 1.0 into 1.0 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.684 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [backup-simplify]: Simplify 1.0 into 1.0 0.684 * [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 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [backup-simplify]: Simplify (- 1) into -1 0.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.686 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.687 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [backup-simplify]: Simplify 1.0 into 1.0 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.690 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.690 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.690 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.694 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.695 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.696 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.696 * [backup-simplify]: Simplify 1.0 into 1.0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.702 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.705 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.707 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 0.707 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 0.707 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.707 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.707 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.707 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [backup-simplify]: Simplify 1.0 into 1.0 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (* 1 1) into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (- 1) into -1 0.709 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.710 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- 0) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.712 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [backup-simplify]: Simplify 1.0 into 1.0 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.713 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.713 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [backup-simplify]: Simplify 1.0 into 1.0 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [backup-simplify]: Simplify (- 1) into -1 0.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.715 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.718 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.718 * [taylor]: Taking taylor expansion of 1.0 in x 0.718 * [backup-simplify]: Simplify 1.0 into 1.0 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.722 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.723 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.723 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.724 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.727 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.730 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.732 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.733 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.734 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.734 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.741 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.744 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.745 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.747 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (- (sqrt -1)))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.747 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.748 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.748 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [backup-simplify]: Simplify 1.0 into 1.0 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.748 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [backup-simplify]: Simplify 1.0 into 1.0 0.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.750 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.752 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (- 1) into -1 0.754 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.756 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.759 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.760 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.764 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.787 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.790 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.796 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (sqrt 1.0) (/ 1 x)))) into (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.796 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.796 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.796 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [backup-simplify]: Simplify 1.0 into 1.0 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (- 1) into -1 0.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.797 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.799 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [backup-simplify]: Simplify 1.0 into 1.0 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (* 1 1) into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [backup-simplify]: Simplify (- 1) into -1 0.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.801 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.803 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.804 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.808 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.809 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.815 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.824 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (- 0) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.836 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.840 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) 0.840 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.840 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.840 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.840 * [taylor]: Taking taylor expansion of -1 in x 0.840 * [backup-simplify]: Simplify -1 into -1 0.840 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [backup-simplify]: Simplify 1.0 into 1.0 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [backup-simplify]: Simplify (- 1) into -1 0.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.841 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (+ 0 0) into 0 0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.843 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [backup-simplify]: Simplify -1 into -1 0.843 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [backup-simplify]: Simplify 1.0 into 1.0 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (* 1 1) into 1 0.844 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (- 1) into -1 0.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.845 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.847 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.847 * [backup-simplify]: Simplify (* -1 0) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.849 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.850 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (- 0) into 0 0.851 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.854 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.855 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.871 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.874 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (- 0) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.886 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.903 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.125 (/ 1 (pow (sqrt -1) 3))))) (+ (* 0 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))))) into (* 0.125 (/ 1 (pow (sqrt -1) 3))) 0.904 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.907 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (- (sqrt -1)))) into (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.907 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.907 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.907 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.907 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.907 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [backup-simplify]: Simplify 1.0 into 1.0 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.908 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.909 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [backup-simplify]: Simplify 1.0 into 1.0 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.909 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.910 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (* 1 1) into 1 0.911 * [backup-simplify]: Simplify (- 1) into -1 0.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.913 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.913 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.914 * [backup-simplify]: Simplify (- 0) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.924 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.928 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.928 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.928 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [backup-simplify]: Simplify 1.0 into 1.0 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (* 1 1) into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [backup-simplify]: Simplify (- 1) into -1 0.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.930 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.933 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [backup-simplify]: Simplify 1.0 into 1.0 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (* 1 1) into 1 0.934 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [backup-simplify]: Simplify (- 1) into -1 0.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.935 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.939 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.944 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.945 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (- 0) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.953 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.956 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.956 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.956 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.956 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [backup-simplify]: Simplify 1.0 into 1.0 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (* 1 1) into 1 0.957 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [backup-simplify]: Simplify (- 1) into -1 0.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.958 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.961 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.961 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [backup-simplify]: Simplify 1.0 into 1.0 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [backup-simplify]: Simplify (- 1) into -1 0.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.963 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (- 0) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.965 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.969 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.969 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.978 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.980 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.980 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.980 * [backup-simplify]: Simplify (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) into (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) 0.980 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.980 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.981 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.981 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [backup-simplify]: Simplify 1.0 into 1.0 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.981 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [backup-simplify]: Simplify 1.0 into 1.0 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.987 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.987 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.988 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.990 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 0.990 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.990 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.990 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.990 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [backup-simplify]: Simplify 1.0 into 1.0 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.991 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.991 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.993 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [backup-simplify]: Simplify 1.0 into 1.0 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.994 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.995 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.996 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 0.997 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (+ (sqrt 1.0) 1.0))) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 0.998 * [backup-simplify]: Simplify (- (log (+ (sqrt 1.0) 1.0)) (log x)) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 1) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (* 1 1) into 1 1.003 * [backup-simplify]: Simplify (- 1) into -1 1.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.006 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.010 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 1.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 2) into (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) 1.037 * [backup-simplify]: Simplify (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) into (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.038 * [backup-simplify]: Simplify (- 0) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.040 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt 1.0) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 6) into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.058 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.060 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.063 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.117 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (sqrt 1.0) 1.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1.0) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt 1.0))))) 2)) (pow (+ (sqrt 1.0) 1.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 24) into (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) 1.125 * [backup-simplify]: Simplify (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) into (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) 1.138 * [backup-simplify]: Simplify (+ (* (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 3 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))) (pow x 4)) (+ (* (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) (pow x 2)) (- (log (+ (sqrt 1.0) 1.0)) (log x)))) into (- (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)))))))) 1.138 * [backup-simplify]: Simplify (log (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) into (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 1.138 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 1.138 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.138 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.138 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify 1 into 1 1.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [backup-simplify]: Simplify 1.0 into 1.0 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 1 into 1 1.139 * [backup-simplify]: Simplify (* 1 1) into 1 1.139 * [backup-simplify]: Simplify (/ 1 1) into 1 1.139 * [backup-simplify]: Simplify (- 1) into -1 1.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.140 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (- 0) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.143 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [backup-simplify]: Simplify 1.0 into 1.0 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.146 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.147 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.148 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.148 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.148 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.148 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [backup-simplify]: Simplify 1.0 into 1.0 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (* 1 1) into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.150 * [backup-simplify]: Simplify (- 1) into -1 1.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.150 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.153 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [backup-simplify]: Simplify 1.0 into 1.0 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.154 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.157 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.158 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.158 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.159 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (- 0) into 0 1.162 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.165 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.167 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.169 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1.0 (sqrt -1)) 1.178 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 1.188 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.190 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 1.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 0.5 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into (* 1/2 (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 1.0)) 1.212 * [backup-simplify]: Simplify (* 1/2 (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 1.0)) into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.220 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 (* 0.5 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) 1.244 * [backup-simplify]: Simplify (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) into (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) 1.249 * [backup-simplify]: Simplify (+ (* (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) (pow (/ 1 x) 3)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (log (sqrt -1)))) into (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (+ (* 0.3333333333333333 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (sqrt -1))))) 1.250 * [backup-simplify]: Simplify (log (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) into (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 1.250 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 1.250 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.250 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.250 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.250 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.250 * [taylor]: Taking taylor expansion of 1.0 in x 1.250 * [backup-simplify]: Simplify 1.0 into 1.0 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (* 1 1) into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.251 * [backup-simplify]: Simplify (- 1) into -1 1.251 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.251 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.253 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [backup-simplify]: Simplify 1.0 into 1.0 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.255 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.256 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.256 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.257 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.257 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 1.257 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.257 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.257 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.257 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [backup-simplify]: Simplify 1.0 into 1.0 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 1 into 1 1.258 * [backup-simplify]: Simplify (* 1 1) into 1 1.258 * [backup-simplify]: Simplify (/ 1 1) into 1 1.258 * [backup-simplify]: Simplify (- 1) into -1 1.259 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.259 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.261 * [backup-simplify]: Simplify (+ 0 0) into 0 1.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.261 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [backup-simplify]: Simplify 1.0 into 1.0 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.262 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.264 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.264 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.265 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.265 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.266 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 1.267 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 1.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (- 0) into 0 1.268 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.270 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.271 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 1.272 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.272 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.273 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.273 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow (- (sqrt -1)) 1)))) 1) into (/ 1.0 (sqrt -1)) 1.279 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.280 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.280 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.282 * [backup-simplify]: Simplify (- 0) into 0 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 1.286 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.288 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 1.289 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 1.290 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 1)))) 2) into (* 1/2 (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 1.0)) 1.310 * [backup-simplify]: Simplify (* 1/2 (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 1.0)) into 0 1.310 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.310 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.311 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.312 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 1.313 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.323 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.325 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.353 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow (- (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (sqrt -1)) 1)))) 6) into (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) 1.358 * [backup-simplify]: Simplify (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) into (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) 1.364 * [backup-simplify]: Simplify (+ (* (* 1/6 (+ (* 2.0 (/ 1 (pow (sqrt -1) 3))) (* 3.0 (/ 1 (sqrt -1))))) (pow (/ 1 (- x)) 3)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 (- x))) (log (- (sqrt -1))))) into (- (log (- (sqrt -1))) (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (* 0.3333333333333333 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) 1.365 * * * [progress]: simplifying candidates 1.367 * [simplify]: Simplifying: (* (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 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(/ (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 (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (log (* (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)))) (- (+ (/ (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))) (- (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)))) (- (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)))))))) (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (+ (* 0.3333333333333333 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (sqrt -1))))) (- (log (- (sqrt -1))) (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (* 0.3333333333333333 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) 1.373 * * [simplify]: Extracting # 0 : cost 0 1.373 * * [simplify]: Extracting # 1 : cost 0 1.374 * * [simplify]: Extracting # 2 : cost 0 1.374 * * [simplify]: Extracting # 3 : cost 0 1.375 * * [simplify]: Extracting # 4 : cost 0 1.375 * * [simplify]: Extracting # 5 : cost 0 1.376 * * [simplify]: Extracting # 6 : cost 0 1.376 * * [simplify]: Extracting # 7 : cost 0 1.377 * * [simplify]: Extracting # 8 : cost 0 1.378 * * [simplify]: Extracting # 9 : cost 0 1.378 * * [simplify]: Extracting # 10 : cost 0 1.378 * * [simplify]: Extracting # 11 : cost 0 1.379 * * [simplify]: Extracting # 12 : cost 0 1.379 * * [simplify]: Extracting # 13 : cost 0 1.380 * * [simplify]: iteration 0 : 231 enodes (cost 1946 ) 1.446 * * [simplify]: Extracting # 0 : cost 0 1.447 * * [simplify]: Extracting # 1 : cost 0 1.448 * * [simplify]: Extracting # 2 : cost 0 1.449 * * [simplify]: Extracting # 3 : cost 0 1.449 * * [simplify]: Extracting # 4 : cost 0 1.450 * * [simplify]: iteration 1 : 540 enodes (cost 1820 ) 1.789 * * [simplify]: Extracting # 0 : cost 0 1.792 * * [simplify]: Extracting # 1 : cost 0 1.795 * * [simplify]: Extracting # 2 : cost 0 1.797 * * [simplify]: Extracting # 3 : cost 0 1.800 * * [simplify]: Extracting # 4 : cost 0 1.803 * * [simplify]: iteration 2 : 2350 enodes (cost 1700 ) 2.598 * * [simplify]: Extracting # 0 : cost 0 2.603 * * [simplify]: Extracting # 1 : cost 0 2.611 * * [simplify]: Extracting # 2 : cost 0 2.618 * * [simplify]: Extracting # 3 : cost 0 2.628 * * [simplify]: iteration done: 5000 enodes (cost 1684 ) 2.629 * [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 (+ (sqrt (- 1.0 (* x x))) 1.0)) (* 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)))) (- (* (/ 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 x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (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)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* (sqrt (+ (* 1.0 1.0) (+ (* 1.0 (* x x)) (pow x 4)))) x) (* x (sqrt (+ 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (* 1.0 1.0) (+ (* 1.0 (* x x)) (pow x 4)))) (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)))) (* 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 (+ (sqrt (- 1.0 (* x x))) 1.0))) (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)))) (- (+ (/ 1.0 x) (- (/ (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) (/ 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))))) (+ (- (sqrt -1) (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (/ 0.5 (* 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))) (- (- (log (+ (sqrt 1.0) 1.0)) (* (/ (* x x) (+ (pow (sqrt 1.0) 3) 1.0)) 1/2)) (+ (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (log x)) (/ (* 1/8 (pow x 4)) (* 1.0 (pow (+ (sqrt 1.0) 1.0) 2))))) (+ (+ (log (sqrt -1)) (/ 0.3333333333333333 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (/ 1.0 (* x (sqrt -1))) (/ 0.5 (* (pow x 3) (sqrt -1))))) (- (log (- (sqrt -1))) (+ (/ 0.3333333333333333 (* (pow x 3) (pow (sqrt -1) 3))) (+ (/ 1.0 (* x (sqrt -1))) (/ 0.5 (* (pow x 3) (sqrt -1)))))) 2.630 * * * [progress]: adding candidates to table 3.070 * * [progress]: iteration 2 / 4 3.070 * * * [progress]: picking best candidate 3.076 * * * * [pick]: Picked # 3.077 * * * [progress]: localizing error 3.100 * * * [progress]: generating rewritten candidates 3.100 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.529 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.654 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.745 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.828 * * * [progress]: generating series expansions 3.828 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.829 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 3.829 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 3.829 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.829 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.829 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.829 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.829 * [taylor]: Taking taylor expansion of 1.0 in x 3.829 * [backup-simplify]: Simplify 1.0 into 1.0 3.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.829 * [taylor]: Taking taylor expansion of x in x 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.831 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (/ 1 1) into 1 3.832 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.832 * [taylor]: Taking taylor expansion of 1.0 in x 3.832 * [backup-simplify]: Simplify 1.0 into 1.0 3.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (/ 1 1) into 1 3.832 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.833 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.833 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.833 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.833 * [taylor]: Taking taylor expansion of 1.0 in x 3.833 * [backup-simplify]: Simplify 1.0 into 1.0 3.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.833 * [taylor]: Taking taylor expansion of x in x 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.834 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.834 * [backup-simplify]: Simplify (+ 0 0) into 0 3.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.835 * [taylor]: Taking taylor expansion of x in x 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (/ 1 1) into 1 3.835 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.835 * [taylor]: Taking taylor expansion of 1.0 in x 3.835 * [backup-simplify]: Simplify 1.0 into 1.0 3.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.835 * [taylor]: Taking taylor expansion of x in x 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.836 * [backup-simplify]: Simplify (/ 1 1) into 1 3.836 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 3.837 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.838 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.838 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.846 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (* 1 1) into 1 3.848 * [backup-simplify]: Simplify (- 1) into -1 3.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.852 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.857 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.862 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.865 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.867 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.871 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.876 * [backup-simplify]: Simplify (- 0) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.897 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.904 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.907 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.915 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 3.915 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 3.915 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 3.916 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.916 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.916 * [taylor]: Taking taylor expansion of x in x 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.916 * [taylor]: Taking taylor expansion of 1.0 in x 3.916 * [backup-simplify]: Simplify 1.0 into 1.0 3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.916 * [taylor]: Taking taylor expansion of x in x 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (* 1 1) into 1 3.917 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [backup-simplify]: Simplify (- 1) into -1 3.917 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.918 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (- 0) into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.920 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.920 * [taylor]: Taking taylor expansion of 1.0 in x 3.921 * [backup-simplify]: Simplify 1.0 into 1.0 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.921 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.921 * [taylor]: Taking taylor expansion of 1.0 in x 3.921 * [backup-simplify]: Simplify 1.0 into 1.0 3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (* 1 1) into 1 3.922 * [backup-simplify]: Simplify (/ 1 1) into 1 3.922 * [backup-simplify]: Simplify (- 1) into -1 3.922 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.923 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (- 0) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.925 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.925 * [taylor]: Taking taylor expansion of 1.0 in x 3.925 * [backup-simplify]: Simplify 1.0 into 1.0 3.925 * [taylor]: Taking taylor expansion of x in x 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.926 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.929 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.929 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.930 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (- 0) into 0 3.932 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.934 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.935 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.936 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.936 * [backup-simplify]: Simplify 1.0 into 1.0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (- 0) into 0 3.938 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.942 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.944 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.945 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 3.946 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) into (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) 3.946 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in (x) around 0 3.946 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 3.946 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 3.946 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.946 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.946 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.946 * [taylor]: Taking taylor expansion of x in x 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.946 * [taylor]: Taking taylor expansion of 1.0 in x 3.946 * [backup-simplify]: Simplify 1.0 into 1.0 3.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.946 * [taylor]: Taking taylor expansion of x in x 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (* 1 1) into 1 3.947 * [backup-simplify]: Simplify (/ 1 1) into 1 3.947 * [backup-simplify]: Simplify (- 1) into -1 3.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.948 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.949 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.949 * [taylor]: Taking taylor expansion of 1.0 in x 3.949 * [backup-simplify]: Simplify 1.0 into 1.0 3.949 * [taylor]: Taking taylor expansion of x in x 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.950 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.952 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.952 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.953 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.953 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.954 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (- 0) into 0 3.955 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.957 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.958 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.959 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.960 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.960 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.962 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.962 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 3.962 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 3.962 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.962 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.962 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.962 * [taylor]: Taking taylor expansion of 1.0 in x 3.962 * [backup-simplify]: Simplify 1.0 into 1.0 3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (* 1 1) into 1 3.969 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [backup-simplify]: Simplify (- 1) into -1 3.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.971 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (- 0) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.973 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.973 * [taylor]: Taking taylor expansion of 1.0 in x 3.973 * [backup-simplify]: Simplify 1.0 into 1.0 3.973 * [taylor]: Taking taylor expansion of x in x 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.974 * [backup-simplify]: Simplify (+ 0 0) into 0 3.974 * [backup-simplify]: Simplify (- 0) into 0 3.976 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.976 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.977 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.978 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.979 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.980 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.986 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.987 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.989 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.989 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.990 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.993 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.996 * [backup-simplify]: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) 3.998 * [backup-simplify]: Simplify (pow (sqrt (- (sqrt -1))) 2) into (pow (sqrt (- (sqrt -1))) 2) 4.006 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -0.5 (sqrt (- (sqrt -1))))) (* (/ -0.5 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1.0) 4.006 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- 0) into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.015 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.018 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.020 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.030 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ -0.5 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 4.062 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -0.5 (sqrt (- (sqrt -1)))) (/ -0.5 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.063 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.066 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (pow (sqrt (- (sqrt -1))) 2))) into (- (+ (* 1.0 (/ 1 x)) (pow (sqrt (- (sqrt -1))) 2)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 4.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.066 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) into (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) 4.066 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 4.066 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.067 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.067 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.067 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.067 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.067 * [taylor]: Taking taylor expansion of 1.0 in x 4.067 * [backup-simplify]: Simplify 1.0 into 1.0 4.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.067 * [taylor]: Taking taylor expansion of x in x 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.067 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (/ 1 1) into 1 4.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [backup-simplify]: Simplify 1.0 into 1.0 4.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.069 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.070 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.070 * [backup-simplify]: Simplify (sqrt 0) into 0 4.072 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.072 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.072 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.072 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.072 * [taylor]: Taking taylor expansion of 1.0 in x 4.072 * [backup-simplify]: Simplify 1.0 into 1.0 4.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.072 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.073 * [taylor]: Taking taylor expansion of x in x 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (/ 1 1) into 1 4.080 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.080 * [taylor]: Taking taylor expansion of 1.0 in x 4.080 * [backup-simplify]: Simplify 1.0 into 1.0 4.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.080 * [taylor]: Taking taylor expansion of x in x 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.082 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.083 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.084 * [backup-simplify]: Simplify (sqrt 0) into 0 4.086 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.086 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) 1.0)) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.091 * [backup-simplify]: Simplify (+ 0 0) into 0 4.097 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) 1.0)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.102 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (* 1 1) into 1 4.103 * [backup-simplify]: Simplify (- 1) into -1 4.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.104 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.107 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.110 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.126 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt 1.0)))) (+ (* 2 (* (* +nan.0 (+ (sqrt 1.0) 1.0)) (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) 4.141 * [backup-simplify]: Simplify (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) into (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) 4.161 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) (pow x 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) x) (* +nan.0 (+ (sqrt 1.0) 1.0)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +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 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) 4.161 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) into (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 4.161 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 4.161 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.161 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.161 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.161 * [taylor]: Taking taylor expansion of x in x 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.161 * [taylor]: Taking taylor expansion of 1.0 in x 4.161 * [backup-simplify]: Simplify 1.0 into 1.0 4.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.161 * [taylor]: Taking taylor expansion of x in x 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (* 1 1) into 1 4.162 * [backup-simplify]: Simplify (/ 1 1) into 1 4.162 * [backup-simplify]: Simplify (- 1) into -1 4.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.163 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.164 * [backup-simplify]: Simplify (- 0) into 0 4.164 * [backup-simplify]: Simplify (+ 0 0) into 0 4.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.164 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.164 * [taylor]: Taking taylor expansion of 1.0 in x 4.164 * [backup-simplify]: Simplify 1.0 into 1.0 4.164 * [taylor]: Taking taylor expansion of x in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.165 * [backup-simplify]: Simplify (+ 0 0) into 0 4.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.167 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.167 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.168 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.177 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.179 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.180 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.181 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.183 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.183 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.183 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.183 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.183 * [taylor]: Taking taylor expansion of x in x 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.183 * [taylor]: Taking taylor expansion of 1.0 in x 4.183 * [backup-simplify]: Simplify 1.0 into 1.0 4.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.184 * [taylor]: Taking taylor expansion of x in x 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.184 * [backup-simplify]: Simplify (* 1 1) into 1 4.184 * [backup-simplify]: Simplify (/ 1 1) into 1 4.185 * [backup-simplify]: Simplify (- 1) into -1 4.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.186 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (- 0) into 0 4.188 * [backup-simplify]: Simplify (+ 0 0) into 0 4.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.189 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.189 * [taylor]: Taking taylor expansion of 1.0 in x 4.189 * [backup-simplify]: Simplify 1.0 into 1.0 4.189 * [taylor]: Taking taylor expansion of x in x 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.192 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.192 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.193 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- 0) into 0 4.194 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.196 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.197 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.198 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.200 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.200 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.201 * [backup-simplify]: Simplify (* 0.5 (sqrt (/ 1 (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (- 0) into 0 4.203 * [backup-simplify]: Simplify (+ 0 0) into 0 4.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.207 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.209 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.215 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 (sqrt -1))) (pow (* 0.5 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 4.217 * [backup-simplify]: Simplify (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 4.221 * [backup-simplify]: Simplify (+ (* (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 0.5 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) 4.221 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) into (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 4.221 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 4.221 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.221 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.221 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.221 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.221 * [taylor]: Taking taylor expansion of 1.0 in x 4.221 * [backup-simplify]: Simplify 1.0 into 1.0 4.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (* 1 1) into 1 4.222 * [backup-simplify]: Simplify (/ 1 1) into 1 4.222 * [backup-simplify]: Simplify (- 1) into -1 4.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.223 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (- 0) into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.224 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.224 * [taylor]: Taking taylor expansion of 1.0 in x 4.224 * [backup-simplify]: Simplify 1.0 into 1.0 4.224 * [taylor]: Taking taylor expansion of x in x 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (- 0) into 0 4.226 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.227 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.227 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.228 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.229 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.230 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (- 0) into 0 4.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.234 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.235 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.236 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.236 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.236 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.237 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.239 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.239 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.239 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.239 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.239 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.239 * [taylor]: Taking taylor expansion of x in x 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.239 * [taylor]: Taking taylor expansion of 1.0 in x 4.239 * [backup-simplify]: Simplify 1.0 into 1.0 4.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.239 * [taylor]: Taking taylor expansion of x in x 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (* 1 1) into 1 4.240 * [backup-simplify]: Simplify (/ 1 1) into 1 4.240 * [backup-simplify]: Simplify (- 1) into -1 4.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.240 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (- 0) into 0 4.242 * [backup-simplify]: Simplify (+ 0 0) into 0 4.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.242 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.242 * [taylor]: Taking taylor expansion of 1.0 in x 4.242 * [backup-simplify]: Simplify 1.0 into 1.0 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.243 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [backup-simplify]: Simplify (- 0) into 0 4.244 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.244 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.245 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.245 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.246 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.247 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (- 0) into 0 4.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.251 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.251 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.253 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.253 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.253 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.255 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.256 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.257 * [backup-simplify]: Simplify (/ -0.5 (sqrt (- (sqrt -1)))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (- 0) into 0 4.259 * [backup-simplify]: Simplify (+ 0 0) into 0 4.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.264 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.274 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.277 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.291 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ -0.5 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 4.301 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 4.311 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -0.5 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) 4.311 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.312 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) into (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) 4.312 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 4.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.312 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.312 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.312 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.312 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.312 * [taylor]: Taking taylor expansion of 1.0 in x 4.312 * [backup-simplify]: Simplify 1.0 into 1.0 4.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.312 * [taylor]: Taking taylor expansion of x in x 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.313 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.313 * [backup-simplify]: Simplify (+ 0 0) into 0 4.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.314 * [taylor]: Taking taylor expansion of 1.0 in x 4.314 * [backup-simplify]: Simplify 1.0 into 1.0 4.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.314 * [taylor]: Taking taylor expansion of x in x 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.315 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.315 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.315 * [backup-simplify]: Simplify (sqrt 0) into 0 4.317 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.317 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.317 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.317 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.317 * [taylor]: Taking taylor expansion of 1.0 in x 4.317 * [backup-simplify]: Simplify 1.0 into 1.0 4.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.318 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.318 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.319 * [taylor]: Taking taylor expansion of x in x 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.319 * [taylor]: Taking taylor expansion of 1.0 in x 4.319 * [backup-simplify]: Simplify 1.0 into 1.0 4.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.319 * [taylor]: Taking taylor expansion of x in x 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (/ 1 1) into 1 4.320 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.320 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.320 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.321 * [backup-simplify]: Simplify (sqrt 0) into 0 4.322 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.322 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) 1.0)) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.324 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.326 * [backup-simplify]: Simplify (+ 0 0) into 0 4.331 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) 1.0)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.337 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (* 1 1) into 1 4.338 * [backup-simplify]: Simplify (- 1) into -1 4.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.340 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.343 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.346 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.362 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt 1.0)))) (+ (* 2 (* (* +nan.0 (+ (sqrt 1.0) 1.0)) (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) 4.388 * [backup-simplify]: Simplify (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) into (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) 4.407 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) (pow x 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) x) (* +nan.0 (+ (sqrt 1.0) 1.0)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +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 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) 4.407 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) into (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 4.408 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 4.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.408 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.408 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.408 * [taylor]: Taking taylor expansion of x in x 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.408 * [taylor]: Taking taylor expansion of 1.0 in x 4.408 * [backup-simplify]: Simplify 1.0 into 1.0 4.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.408 * [taylor]: Taking taylor expansion of x in x 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [backup-simplify]: Simplify (* 1 1) into 1 4.408 * [backup-simplify]: Simplify (/ 1 1) into 1 4.409 * [backup-simplify]: Simplify (- 1) into -1 4.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.409 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (- 0) into 0 4.411 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.411 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.411 * [taylor]: Taking taylor expansion of 1.0 in x 4.411 * [backup-simplify]: Simplify 1.0 into 1.0 4.411 * [taylor]: Taking taylor expansion of x in x 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.412 * [backup-simplify]: Simplify (+ 0 0) into 0 4.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.414 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.415 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.415 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.417 * [backup-simplify]: Simplify (- 0) into 0 4.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.420 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.421 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.422 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.422 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.424 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.424 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.424 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.424 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.424 * [taylor]: Taking taylor expansion of x in x 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.424 * [taylor]: Taking taylor expansion of 1.0 in x 4.424 * [backup-simplify]: Simplify 1.0 into 1.0 4.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.424 * [taylor]: Taking taylor expansion of x in x 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (* 1 1) into 1 4.425 * [backup-simplify]: Simplify (/ 1 1) into 1 4.425 * [backup-simplify]: Simplify (- 1) into -1 4.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.426 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (- 0) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.427 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.427 * [taylor]: Taking taylor expansion of 1.0 in x 4.427 * [backup-simplify]: Simplify 1.0 into 1.0 4.427 * [taylor]: Taking taylor expansion of x in x 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 1 into 1 4.428 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.428 * [backup-simplify]: Simplify (+ 0 0) into 0 4.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.430 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.430 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.431 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (- 0) into 0 4.433 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.437 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.438 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.440 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.443 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.444 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.446 * [backup-simplify]: Simplify (* 0.5 (sqrt (/ 1 (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.448 * [backup-simplify]: Simplify (- 0) into 0 4.449 * [backup-simplify]: Simplify (+ 0 0) into 0 4.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.457 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.460 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.471 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 (sqrt -1))) (pow (* 0.5 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 4.473 * [backup-simplify]: Simplify (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 4.477 * [backup-simplify]: Simplify (+ (* (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 0.5 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) 4.477 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) into (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 4.477 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 4.477 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.477 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.477 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.477 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.477 * [taylor]: Taking taylor expansion of x in x 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.477 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.478 * [taylor]: Taking taylor expansion of 1.0 in x 4.478 * [backup-simplify]: Simplify 1.0 into 1.0 4.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.478 * [taylor]: Taking taylor expansion of x in x 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (* 1 1) into 1 4.478 * [backup-simplify]: Simplify (/ 1 1) into 1 4.478 * [backup-simplify]: Simplify (- 1) into -1 4.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.479 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (- 0) into 0 4.480 * [backup-simplify]: Simplify (+ 0 0) into 0 4.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.480 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.481 * [taylor]: Taking taylor expansion of 1.0 in x 4.481 * [backup-simplify]: Simplify 1.0 into 1.0 4.481 * [taylor]: Taking taylor expansion of x in x 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.481 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.481 * [backup-simplify]: Simplify (+ 0 0) into 0 4.481 * [backup-simplify]: Simplify (- 0) into 0 4.482 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.483 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.483 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.484 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.484 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.485 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (- 0) into 0 4.492 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.493 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.494 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.495 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.495 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.496 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.496 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.498 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.498 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.498 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.498 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.498 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.498 * [taylor]: Taking taylor expansion of x in x 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify 1 into 1 4.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.498 * [taylor]: Taking taylor expansion of 1.0 in x 4.498 * [backup-simplify]: Simplify 1.0 into 1.0 4.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.498 * [taylor]: Taking taylor expansion of x in x 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (* 1 1) into 1 4.499 * [backup-simplify]: Simplify (/ 1 1) into 1 4.499 * [backup-simplify]: Simplify (- 1) into -1 4.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.500 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify (- 0) into 0 4.502 * [backup-simplify]: Simplify (+ 0 0) into 0 4.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.503 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.503 * [taylor]: Taking taylor expansion of 1.0 in x 4.503 * [backup-simplify]: Simplify 1.0 into 1.0 4.503 * [taylor]: Taking taylor expansion of x in x 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.504 * [backup-simplify]: Simplify (- 0) into 0 4.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.507 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.507 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.508 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.509 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.510 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.512 * [backup-simplify]: Simplify (- 0) into 0 4.513 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.516 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.518 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.519 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.520 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.520 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.521 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.524 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.526 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.528 * [backup-simplify]: Simplify (/ -0.5 (sqrt (- (sqrt -1)))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (- 0) into 0 4.531 * [backup-simplify]: Simplify (+ 0 0) into 0 4.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.537 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.539 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.540 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.547 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ -0.5 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 4.554 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 4.564 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -0.5 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) 4.564 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 4.565 * [backup-simplify]: Simplify (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 4.565 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 4.565 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.565 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.565 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.565 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.565 * [taylor]: Taking taylor expansion of 1.0 in x 4.565 * [backup-simplify]: Simplify 1.0 into 1.0 4.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.565 * [taylor]: Taking taylor expansion of x in x 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.565 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.566 * [backup-simplify]: Simplify (+ 0 0) into 0 4.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.566 * [taylor]: Taking taylor expansion of x in x 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 1 into 1 4.566 * [backup-simplify]: Simplify (/ 1 1) into 1 4.566 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.566 * [taylor]: Taking taylor expansion of 1.0 in x 4.566 * [backup-simplify]: Simplify 1.0 into 1.0 4.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.566 * [taylor]: Taking taylor expansion of x in x 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (/ 1 1) into 1 4.567 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.567 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.567 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.567 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.567 * [taylor]: Taking taylor expansion of 1.0 in x 4.567 * [backup-simplify]: Simplify 1.0 into 1.0 4.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.567 * [taylor]: Taking taylor expansion of x in x 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.567 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.568 * [backup-simplify]: Simplify (+ 0 0) into 0 4.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.568 * [taylor]: Taking taylor expansion of x in x 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.569 * [backup-simplify]: Simplify (/ 1 1) into 1 4.569 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.569 * [taylor]: Taking taylor expansion of 1.0 in x 4.569 * [backup-simplify]: Simplify 1.0 into 1.0 4.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.569 * [backup-simplify]: Simplify (/ 1 1) into 1 4.570 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.571 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.572 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.572 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.576 * [backup-simplify]: Simplify (+ 0 0) into 0 4.576 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (* 1 1) into 1 4.578 * [backup-simplify]: Simplify (- 1) into -1 4.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.581 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.586 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.588 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.592 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.593 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.594 * [backup-simplify]: Simplify (- 0) into 0 4.594 * [backup-simplify]: Simplify (+ 0 0) into 0 4.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 4.601 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.604 * [backup-simplify]: Simplify (- 0) into 0 4.604 * [backup-simplify]: Simplify (+ 0 0) into 0 4.608 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.615 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 4.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.619 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 4.622 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 4.629 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 4.629 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 4.630 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 4.630 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.630 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.630 * [taylor]: Taking taylor expansion of 1.0 in x 4.630 * [backup-simplify]: Simplify 1.0 into 1.0 4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [backup-simplify]: Simplify (* 1 1) into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [backup-simplify]: Simplify (- 1) into -1 4.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.632 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (- 0) into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.635 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.635 * [taylor]: Taking taylor expansion of 1.0 in x 4.635 * [backup-simplify]: Simplify 1.0 into 1.0 4.635 * [taylor]: Taking taylor expansion of x in x 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.635 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.635 * [taylor]: Taking taylor expansion of x in x 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.635 * [taylor]: Taking taylor expansion of 1.0 in x 4.635 * [backup-simplify]: Simplify 1.0 into 1.0 4.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.635 * [taylor]: Taking taylor expansion of x in x 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (* 1 1) into 1 4.636 * [backup-simplify]: Simplify (/ 1 1) into 1 4.636 * [backup-simplify]: Simplify (- 1) into -1 4.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.637 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (- 0) into 0 4.639 * [backup-simplify]: Simplify (+ 0 0) into 0 4.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.640 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.640 * [taylor]: Taking taylor expansion of 1.0 in x 4.640 * [backup-simplify]: Simplify 1.0 into 1.0 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.644 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.644 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.645 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (- 0) into 0 4.647 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.649 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.650 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.651 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.651 * [backup-simplify]: Simplify 1.0 into 1.0 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (- 0) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.657 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.659 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.660 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.661 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 4.661 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 4.661 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 4.661 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.661 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.661 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.661 * [taylor]: Taking taylor expansion of 1.0 in x 4.661 * [backup-simplify]: Simplify 1.0 into 1.0 4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (* 1 1) into 1 4.662 * [backup-simplify]: Simplify (/ 1 1) into 1 4.662 * [backup-simplify]: Simplify (- 1) into -1 4.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.663 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (- 0) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.664 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.664 * [taylor]: Taking taylor expansion of 1.0 in x 4.664 * [backup-simplify]: Simplify 1.0 into 1.0 4.664 * [taylor]: Taking taylor expansion of x in x 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.664 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.664 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.664 * [taylor]: Taking taylor expansion of x in x 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.665 * [taylor]: Taking taylor expansion of 1.0 in x 4.665 * [backup-simplify]: Simplify 1.0 into 1.0 4.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.665 * [taylor]: Taking taylor expansion of x in x 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify (* 1 1) into 1 4.665 * [backup-simplify]: Simplify (/ 1 1) into 1 4.665 * [backup-simplify]: Simplify (- 1) into -1 4.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.666 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (- 0) into 0 4.668 * [backup-simplify]: Simplify (+ 0 0) into 0 4.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.668 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.668 * [taylor]: Taking taylor expansion of 1.0 in x 4.668 * [backup-simplify]: Simplify 1.0 into 1.0 4.668 * [taylor]: Taking taylor expansion of x in x 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.669 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [backup-simplify]: Simplify (- 0) into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.671 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.671 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.672 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.672 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (- 0) into 0 4.674 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.676 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.677 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.677 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.678 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.678 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.678 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (- 0) into 0 4.680 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.688 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.691 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.694 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.696 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.700 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (- (sqrt -1)))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 4.700 * * * [progress]: simplifying candidates 4.713 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ 1 1) (+ (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (exp (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (* x x)) (sqrt (* x x))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (* x x)) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (* x x)) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* x x))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (* x x))) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt 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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))) 4.726 * * [simplify]: Extracting # 0 : cost 0 4.726 * * [simplify]: Extracting # 1 : cost 0 4.726 * * [simplify]: Extracting # 2 : cost 0 4.727 * * [simplify]: Extracting # 3 : cost 0 4.727 * * [simplify]: Extracting # 4 : cost 0 4.728 * * [simplify]: Extracting # 5 : cost 0 4.728 * * [simplify]: Extracting # 6 : cost 0 4.729 * * [simplify]: Extracting # 7 : cost 0 4.729 * * [simplify]: Extracting # 8 : cost 0 4.730 * * [simplify]: Extracting # 9 : cost 0 4.730 * * [simplify]: Extracting # 10 : cost 0 4.731 * * [simplify]: Extracting # 11 : cost 0 4.731 * * [simplify]: Extracting # 12 : cost 0 4.732 * * [simplify]: Extracting # 13 : cost 0 4.732 * * [simplify]: Extracting # 14 : cost 0 4.733 * * [simplify]: Extracting # 15 : cost 0 4.733 * * [simplify]: Extracting # 16 : cost 0 4.734 * * [simplify]: Extracting # 17 : cost 0 4.735 * * [simplify]: Extracting # 18 : cost 0 4.735 * * [simplify]: Extracting # 19 : cost 0 4.736 * * [simplify]: Extracting # 20 : cost 0 4.736 * * [simplify]: Extracting # 21 : cost 0 4.737 * * [simplify]: Extracting # 22 : cost 0 4.737 * * [simplify]: Extracting # 23 : cost 0 4.738 * * [simplify]: Extracting # 24 : cost 0 4.738 * * [simplify]: Extracting # 25 : cost 0 4.739 * * [simplify]: Extracting # 26 : cost 0 4.739 * * [simplify]: Extracting # 27 : cost 0 4.740 * * [simplify]: Extracting # 28 : cost 0 4.741 * * [simplify]: Extracting # 29 : cost 0 4.741 * * [simplify]: iteration 0 : 236 enodes (cost 4553 ) 4.811 * * [simplify]: Extracting # 0 : cost 0 4.812 * * [simplify]: Extracting # 1 : cost 0 4.813 * * [simplify]: Extracting # 2 : cost 0 4.813 * * [simplify]: Extracting # 3 : cost 0 4.814 * * [simplify]: Extracting # 4 : cost 0 4.814 * * [simplify]: Extracting # 5 : cost 0 4.815 * * [simplify]: Extracting # 6 : cost 0 4.815 * * [simplify]: iteration 1 : 554 enodes (cost 3442 ) 5.177 * * [simplify]: Extracting # 0 : cost 0 5.180 * * [simplify]: Extracting # 1 : cost 0 5.184 * * [simplify]: Extracting # 2 : cost 0 5.186 * * [simplify]: Extracting # 3 : cost 0 5.189 * * [simplify]: Extracting # 4 : cost 0 5.195 * * [simplify]: Extracting # 5 : cost 0 5.201 * * [simplify]: iteration 2 : 2577 enodes (cost 3177 ) 6.372 * * [simplify]: Extracting # 0 : cost 0 6.386 * * [simplify]: Extracting # 1 : cost 0 6.393 * * [simplify]: Extracting # 2 : cost 0 6.398 * * [simplify]: Extracting # 3 : cost 0 6.403 * * [simplify]: Extracting # 4 : cost 0 6.409 * * [simplify]: Extracting # 5 : cost 0 6.414 * * [simplify]: iteration done: 5001 enodes (cost 3040 ) 6.416 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ 3 1)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (pow (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ 3 1)) 2 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) 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(* +nan.0 x) 1.0)) (- (* (* +nan.0 (pow x 2)) 1.0) +nan.0)))))) (- (* +nan.0 (pow x 2)))) (+ (+ (* (/ (sqrt (/ 1 (sqrt -1))) x) 0.5) (/ (* (sqrt (/ -1 (sqrt -1))) 0.125) (* x x))) (sqrt (sqrt -1))) (- (- (+ (/ 0.5 (* x (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))) (/ 0.125 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (/ 0.25 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))) (- (+ (/ (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) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1))) (- (- (/ 1.0 x) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) 6.417 * * * [progress]: adding candidates to table 7.017 * [progress]: [Phase 3 of 3] Extracting. 7.017 * * [regime]: Finding splitpoints for: (# #) 7.017 * * * [regime-changes]: Trying 3 branch expressions: ((+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) x) 7.018 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 7.034 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 7.061 * * * * [regimes]: Trying to branch on x from (# #) 7.077 * * * [regime]: Found split indices: #