48.647 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.062 * * [simplify]: Extracting # 2 : cost 0 0.062 * * [simplify]: Extracting # 3 : cost 0 0.062 * * [simplify]: Extracting # 4 : cost 0 0.062 * * [simplify]: Extracting # 5 : cost 0 0.062 * * [simplify]: Extracting # 6 : cost 0 0.062 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.064 * * [simplify]: Extracting # 2 : cost 0 0.064 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.068 * * [simplify]: Extracting # 0 : cost 0 0.068 * * [simplify]: iteration 3 : 18 enodes (cost 13 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: iteration done: 18 enodes (cost 13 ) 0.071 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.587 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.640 * * * [progress]: generating series expansions 0.640 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.641 * [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))) 0.641 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [backup-simplify]: Simplify 1.0 into 1.0 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.642 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (/ 1 1) into 1 0.643 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [backup-simplify]: Simplify 1.0 into 1.0 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (/ 1 1) into 1 0.643 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [backup-simplify]: Simplify 1.0 into 1.0 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.644 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (/ 1 1) into 1 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [backup-simplify]: Simplify 1.0 into 1.0 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.646 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.647 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.647 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (- 1) into -1 0.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.652 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.657 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.669 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.671 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.676 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [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)) 0.698 * [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)))) 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.705 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.709 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.716 * [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))))) 0.716 * [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)) 0.716 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.716 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [backup-simplify]: Simplify 1.0 into 1.0 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (* 1 1) into 1 0.718 * [backup-simplify]: Simplify (/ 1 1) into 1 0.718 * [backup-simplify]: Simplify (- 1) into -1 0.718 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.719 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.722 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [backup-simplify]: Simplify 1.0 into 1.0 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.722 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [backup-simplify]: Simplify 1.0 into 1.0 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [backup-simplify]: Simplify (- 1) into -1 0.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.724 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.727 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [backup-simplify]: Simplify 1.0 into 1.0 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.731 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.732 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.732 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.739 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.740 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.742 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.742 * [backup-simplify]: Simplify 1.0 into 1.0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (- 0) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.751 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.754 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.755 * [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)))) 0.755 * [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))) 0.755 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.755 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.755 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [backup-simplify]: Simplify 1.0 into 1.0 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (/ 1 1) into 1 0.756 * [backup-simplify]: Simplify (- 1) into -1 0.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.757 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.758 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [backup-simplify]: Simplify 1.0 into 1.0 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.758 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [backup-simplify]: Simplify 1.0 into 1.0 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify (- 1) into -1 0.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.760 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.762 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [backup-simplify]: Simplify 1.0 into 1.0 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.765 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.766 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.766 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.767 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.768 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.770 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.771 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.772 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.772 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.773 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- 0) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.780 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.784 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.788 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.790 * [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))) 0.790 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.790 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.790 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [backup-simplify]: Simplify 1.0 into 1.0 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.791 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.792 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.792 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [backup-simplify]: Simplify 1.0 into 1.0 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.792 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.794 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (- 1) into -1 0.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.798 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.800 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.802 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.805 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [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)) 0.820 * [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)))) 0.824 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.830 * [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))))) 0.830 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.830 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.830 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [backup-simplify]: Simplify 1.0 into 1.0 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (* 1 1) into 1 0.831 * [backup-simplify]: Simplify (/ 1 1) into 1 0.831 * [backup-simplify]: Simplify (- 1) into -1 0.831 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.831 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.833 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [backup-simplify]: Simplify 1.0 into 1.0 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (/ 1 1) into 1 0.834 * [backup-simplify]: Simplify (- 1) into -1 0.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.835 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.837 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.838 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (- 0) into 0 0.839 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.841 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.842 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.849 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.856 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.864 * [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)))) 0.867 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.871 * [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))))) 0.871 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.871 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.871 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.871 * [taylor]: Taking taylor expansion of -1 in x 0.871 * [backup-simplify]: Simplify -1 into -1 0.871 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.872 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [backup-simplify]: Simplify 1.0 into 1.0 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [backup-simplify]: Simplify (- 1) into -1 0.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.874 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.879 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [backup-simplify]: Simplify -1 into -1 0.879 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [backup-simplify]: Simplify 1.0 into 1.0 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (* 1 1) into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [backup-simplify]: Simplify (- 1) into -1 0.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.880 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (- 0) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.883 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.883 * [backup-simplify]: Simplify (* -1 0) into 0 0.883 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.887 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.887 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.889 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.891 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.891 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (- 0) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.900 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.903 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.910 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.920 * [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)))) 0.926 * [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))) 0.927 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.931 * [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))) 0.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.931 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.931 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.931 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.931 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [backup-simplify]: Simplify 1.0 into 1.0 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.932 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.932 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.933 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.935 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (- 1) into -1 0.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.939 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.939 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [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)) 0.951 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.956 * [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))))) 0.956 * [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 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (* 1 1) into 1 0.957 * [backup-simplify]: Simplify (/ 1 1) into 1 0.957 * [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) 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.960 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.960 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.960 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [backup-simplify]: Simplify 1.0 into 1.0 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (* 1 1) into 1 0.960 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [backup-simplify]: Simplify (- 1) into -1 0.961 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.961 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (- 0) into 0 0.962 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.963 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (- 0) into 0 0.965 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.967 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.967 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [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 (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.980 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.980 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (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 (/ 1 (pow x 2)) in x 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 1) into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (- 1) into -1 0.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.982 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.983 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [backup-simplify]: Simplify 1.0 into 1.0 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (/ 1 1) into 1 0.984 * [backup-simplify]: Simplify (- 1) into -1 0.985 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.985 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.987 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (- 0) into 0 0.988 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.990 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.991 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (- 0) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.999 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.001 * [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)))) 1.001 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.002 * [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)))) 1.002 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.002 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.002 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [backup-simplify]: Simplify 1.0 into 1.0 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.002 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [backup-simplify]: Simplify 1.0 into 1.0 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 1.005 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.005 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.007 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 1.007 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 1.007 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [backup-simplify]: Simplify 1.0 into 1.0 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.008 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.009 * [backup-simplify]: Simplify (/ 1 1) into 1 1.009 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [backup-simplify]: Simplify 1.0 into 1.0 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 1.011 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.012 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.013 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1.0)) into (log (+ (sqrt 1.0) 1.0)) 1.015 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (+ (sqrt 1.0) 1.0))) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 1.016 * [backup-simplify]: Simplify (- (log (+ (sqrt 1.0) 1.0)) (log x)) into (- (log (+ (sqrt 1.0) 1.0)) (log x)) 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt 1.0) 1.0) 1)))) 1) into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (* 1 1) into 1 1.023 * [backup-simplify]: Simplify (- 1) into -1 1.023 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.026 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.030 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 1.035 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 1.054 * [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))) 1.057 * [backup-simplify]: Simplify (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) into (/ -1/2 (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))) 1.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.059 * [backup-simplify]: Simplify (- 0) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.062 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.071 * [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 1.071 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.073 * [backup-simplify]: Simplify (- 0) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [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)) 1.093 * [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)))) 1.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.097 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.134 * [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)))))) 1.148 * [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)))))) 1.164 * [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)))))))) 1.164 * [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))) 1.164 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 1.164 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.164 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.164 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.164 * [taylor]: Taking taylor expansion of 1.0 in x 1.164 * [backup-simplify]: Simplify 1.0 into 1.0 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.165 * [backup-simplify]: Simplify (* 1 1) into 1 1.165 * [backup-simplify]: Simplify (/ 1 1) into 1 1.165 * [backup-simplify]: Simplify (- 1) into -1 1.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.166 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.167 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.167 * [taylor]: Taking taylor expansion of 1.0 in x 1.167 * [backup-simplify]: Simplify 1.0 into 1.0 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.169 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.170 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.170 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.170 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.171 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.171 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [backup-simplify]: Simplify 1.0 into 1.0 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (* 1 1) into 1 1.171 * [backup-simplify]: Simplify (/ 1 1) into 1 1.171 * [backup-simplify]: Simplify (- 1) into -1 1.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.172 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.174 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [backup-simplify]: Simplify 1.0 into 1.0 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.176 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.176 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.177 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.177 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.183 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.184 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.185 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1.0 (sqrt -1)) 1.191 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (- 0) into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 1.197 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.198 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 1.210 * [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 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.219 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.241 * [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))))) 1.245 * [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))))) 1.251 * [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))))) 1.251 * [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)))) 1.251 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 1.251 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.251 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.251 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.251 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [backup-simplify]: Simplify 1.0 into 1.0 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (* 1 1) into 1 1.252 * [backup-simplify]: Simplify (/ 1 1) into 1 1.252 * [backup-simplify]: Simplify (- 1) into -1 1.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.253 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.256 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [backup-simplify]: Simplify 1.0 into 1.0 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.260 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.260 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.261 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.262 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.263 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 1.263 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 1.263 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 1.263 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.263 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [backup-simplify]: Simplify 1.0 into 1.0 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (* 1 1) into 1 1.264 * [backup-simplify]: Simplify (/ 1 1) into 1 1.265 * [backup-simplify]: Simplify (- 1) into -1 1.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.265 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.268 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [backup-simplify]: Simplify 1.0 into 1.0 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (- 0) into 0 1.271 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 1.271 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.272 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 1.273 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.273 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.274 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 1.277 * [backup-simplify]: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) 1.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.281 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.282 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.283 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.284 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow (- (sqrt -1)) 1)))) 1) into (/ 1.0 (sqrt -1)) 1.292 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.292 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.293 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.294 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 1.302 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 1.306 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 1.307 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.331 * [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)) 1.335 * [backup-simplify]: Simplify (* 1/2 (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 1.0)) into 0 1.335 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.336 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.336 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.339 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 1.339 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.351 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (- 0) into 0 1.353 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 1.375 * [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))))) 1.379 * [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))))) 1.387 * [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))))))) 1.387 * * * [progress]: simplifying candidates 1.389 * [simplify]: Simplifying: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x 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(/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (/ (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))))))) 1.392 * * [simplify]: Extracting # 0 : cost 0 1.392 * * [simplify]: Extracting # 1 : cost 0 1.392 * * [simplify]: Extracting # 2 : cost 0 1.392 * * [simplify]: Extracting # 3 : cost 0 1.393 * * [simplify]: Extracting # 4 : cost 0 1.393 * * [simplify]: Extracting # 5 : cost 0 1.393 * * [simplify]: Extracting # 6 : cost 0 1.394 * * [simplify]: Extracting # 7 : cost 0 1.394 * * [simplify]: Extracting # 8 : cost 0 1.394 * * [simplify]: Extracting # 9 : cost 0 1.394 * * [simplify]: Extracting # 10 : cost 0 1.395 * * [simplify]: Extracting # 11 : cost 0 1.395 * * [simplify]: Extracting # 12 : cost 0 1.395 * * [simplify]: Extracting # 13 : cost 0 1.396 * * [simplify]: iteration 0 : 239 enodes (cost 2032 ) 1.465 * * [simplify]: Extracting # 0 : cost 0 1.466 * * [simplify]: Extracting # 1 : cost 0 1.467 * * [simplify]: Extracting # 2 : cost 0 1.467 * * [simplify]: Extracting # 3 : cost 0 1.471 * * [simplify]: Extracting # 4 : cost 0 1.471 * * [simplify]: Extracting # 5 : cost 0 1.472 * * [simplify]: iteration 1 : 570 enodes (cost 1884 ) 1.856 * * [simplify]: Extracting # 0 : cost 0 1.862 * * [simplify]: Extracting # 1 : cost 0 1.866 * * [simplify]: Extracting # 2 : cost 0 1.870 * * [simplify]: Extracting # 3 : cost 0 1.875 * * [simplify]: Extracting # 4 : cost 0 1.880 * * [simplify]: iteration 2 : 2433 enodes (cost 1770 ) 2.865 * * [simplify]: Extracting # 0 : cost 0 2.871 * * [simplify]: Extracting # 1 : cost 0 2.883 * * [simplify]: Extracting # 2 : cost 0 2.895 * * [simplify]: Extracting # 3 : cost 0 2.902 * * [simplify]: iteration done: 5001 enodes (cost 1753 ) 2.903 * [simplify]: Simplified to: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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(sqrt -1))) (- (/ (sqrt 1.0) x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1)) (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3)))) (- (- (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3))) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (fma (sqrt -1) x (/ 0.5 (* x (sqrt -1)))) (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3)))) (- (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3))) (fma (sqrt -1) x (/ 0.5 (* x (sqrt -1))))) (- (log (+ (sqrt 1.0) 1.0)) (fma (/ (* x x) (fma 1.0 (sqrt 1.0) 1.0)) 1/2 (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (fma 1/8 (/ (pow x 4) (* 1.0 (pow (+ (sqrt 1.0) 1.0) 2))) (log x))))) (+ (+ (/ 1.0 (* x (sqrt -1))) (+ (/ 0.3333333333333333 (* (pow x 3) (pow (sqrt -1) 3))) (/ 0.5 (* (pow x 3) (sqrt -1))))) (log (sqrt -1))) (- (- (- (log (- (sqrt -1))) (/ 0.5 (* (pow x 3) (sqrt -1)))) (/ 0.3333333333333333 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1)))) 2.904 * * * [progress]: adding candidates to table 3.471 * * [progress]: iteration 2 / 4 3.471 * * * [progress]: picking best candidate 3.473 * * * * [pick]: Picked # 3.473 * * * [progress]: localizing error 3.498 * * * [progress]: generating rewritten candidates 3.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.015 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.153 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.295 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 4.365 * * * [progress]: generating series expansions 4.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.366 * [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))) 4.366 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 4.366 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.366 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.366 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.366 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.366 * [taylor]: Taking taylor expansion of 1.0 in x 4.366 * [backup-simplify]: Simplify 1.0 into 1.0 4.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.366 * [taylor]: Taking taylor expansion of x in x 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.367 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (/ 1 1) into 1 4.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.369 * [taylor]: Taking taylor expansion of 1.0 in x 4.369 * [backup-simplify]: Simplify 1.0 into 1.0 4.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.370 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.370 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.370 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.370 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.370 * [taylor]: Taking taylor expansion of 1.0 in x 4.370 * [backup-simplify]: Simplify 1.0 into 1.0 4.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.370 * [taylor]: Taking taylor expansion of x in x 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.371 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.371 * [backup-simplify]: Simplify (+ 0 0) into 0 4.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.372 * [taylor]: Taking taylor expansion of x in x 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.373 * [backup-simplify]: Simplify (/ 1 1) into 1 4.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.373 * [taylor]: Taking taylor expansion of 1.0 in x 4.373 * [backup-simplify]: Simplify 1.0 into 1.0 4.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.373 * [taylor]: Taking taylor expansion of x in x 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 1 into 1 4.373 * [backup-simplify]: Simplify (/ 1 1) into 1 4.374 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.375 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.375 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.376 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.380 * [backup-simplify]: Simplify (+ 0 0) into 0 4.380 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (* 1 1) into 1 4.382 * [backup-simplify]: Simplify (- 1) into -1 4.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.385 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.390 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.394 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.396 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.397 * [backup-simplify]: Simplify (- 0) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 4.399 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (+ 0 0) into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.401 * [backup-simplify]: Simplify (- 0) into 0 4.402 * [backup-simplify]: Simplify (+ 0 0) into 0 4.405 * [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)) 4.412 * [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)))) 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.417 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 4.419 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 4.425 * [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))))) 4.426 * [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)) 4.426 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 4.426 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.426 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.426 * [taylor]: Taking taylor expansion of x in x 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify 1 into 1 4.426 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.426 * [taylor]: Taking taylor expansion of 1.0 in x 4.426 * [backup-simplify]: Simplify 1.0 into 1.0 4.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.426 * [taylor]: Taking taylor expansion of x in x 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify 1 into 1 4.432 * [backup-simplify]: Simplify (* 1 1) into 1 4.432 * [backup-simplify]: Simplify (/ 1 1) into 1 4.433 * [backup-simplify]: Simplify (- 1) into -1 4.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.434 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (- 0) into 0 4.436 * [backup-simplify]: Simplify (+ 0 0) into 0 4.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.436 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.436 * [taylor]: Taking taylor expansion of 1.0 in x 4.437 * [backup-simplify]: Simplify 1.0 into 1.0 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.437 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.437 * [taylor]: Taking taylor expansion of 1.0 in x 4.437 * [backup-simplify]: Simplify 1.0 into 1.0 4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [backup-simplify]: Simplify (* 1 1) into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [backup-simplify]: Simplify (- 1) into -1 4.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.439 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.440 * [backup-simplify]: Simplify (- 0) into 0 4.441 * [backup-simplify]: Simplify (+ 0 0) into 0 4.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.442 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.442 * [taylor]: Taking taylor expansion of 1.0 in x 4.442 * [backup-simplify]: Simplify 1.0 into 1.0 4.442 * [taylor]: Taking taylor expansion of x in x 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify 1 into 1 4.442 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.443 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.445 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.445 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.445 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.447 * [backup-simplify]: Simplify (- 0) into 0 4.447 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.449 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.450 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.451 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.451 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.451 * [backup-simplify]: Simplify 1.0 into 1.0 4.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (- 0) into 0 4.452 * [backup-simplify]: Simplify (+ 0 0) into 0 4.453 * [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 4.458 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.459 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.460 * [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)))) 4.461 * [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) 4.461 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in (x) around 0 4.461 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 4.461 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.461 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.461 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.461 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.461 * [taylor]: Taking taylor expansion of x in x 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.461 * [taylor]: Taking taylor expansion of 1.0 in x 4.461 * [backup-simplify]: Simplify 1.0 into 1.0 4.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.461 * [taylor]: Taking taylor expansion of x in x 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [backup-simplify]: Simplify (* 1 1) into 1 4.462 * [backup-simplify]: Simplify (/ 1 1) into 1 4.462 * [backup-simplify]: Simplify (- 1) into -1 4.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.462 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (- 0) into 0 4.464 * [backup-simplify]: Simplify (+ 0 0) into 0 4.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.464 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.464 * [taylor]: Taking taylor expansion of 1.0 in x 4.464 * [backup-simplify]: Simplify 1.0 into 1.0 4.464 * [taylor]: Taking taylor expansion of x in x 4.464 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify 1 into 1 4.465 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (- 0) into 0 4.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.466 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.467 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.467 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.468 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.469 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.470 * [backup-simplify]: Simplify (- 0) into 0 4.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.472 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.473 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.474 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.474 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.474 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.475 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.477 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.477 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 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 4.477 * [taylor]: Taking taylor expansion of 1.0 in x 4.477 * [backup-simplify]: Simplify 1.0 into 1.0 4.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.477 * [taylor]: Taking taylor expansion of (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 * [backup-simplify]: Simplify (* 1 1) into 1 4.478 * [backup-simplify]: Simplify (/ 1 1) into 1 4.478 * [backup-simplify]: Simplify (- 1) into -1 4.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.478 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.479 * [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 4.480 * [taylor]: Taking taylor expansion of 1.0 in x 4.480 * [backup-simplify]: Simplify 1.0 into 1.0 4.480 * [taylor]: Taking taylor expansion of x in x 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [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) 4.482 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.483 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.483 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.484 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.484 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (- 0) into 0 4.486 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.488 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.489 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.490 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.490 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.490 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.491 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.493 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.495 * [backup-simplify]: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) 4.496 * [backup-simplify]: Simplify (pow (sqrt (- (sqrt -1))) 2) into (pow (sqrt (- (sqrt -1))) 2) 4.506 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -0.5 (sqrt (- (sqrt -1))))) (* (/ -0.5 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1.0) 4.506 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (- 0) into 0 4.509 * [backup-simplify]: Simplify (+ 0 0) into 0 4.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.518 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.520 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.523 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.533 * [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))))) 4.572 * [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)))) 4.575 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.580 * [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))))) 4.580 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.581 * [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)))) 4.581 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 4.581 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.581 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.581 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.581 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.581 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.581 * [taylor]: Taking taylor expansion of 1.0 in x 4.581 * [backup-simplify]: Simplify 1.0 into 1.0 4.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.581 * [taylor]: Taking taylor expansion of x in x 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.582 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.582 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.583 * [taylor]: Taking taylor expansion of x in x 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (/ 1 1) into 1 4.584 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.584 * [taylor]: Taking taylor expansion of 1.0 in x 4.584 * [backup-simplify]: Simplify 1.0 into 1.0 4.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.584 * [taylor]: Taking taylor expansion of x in x 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.586 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.586 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.587 * [backup-simplify]: Simplify (sqrt 0) into 0 4.590 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.590 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.590 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.590 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.590 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.590 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.590 * [taylor]: Taking taylor expansion of 1.0 in x 4.590 * [backup-simplify]: Simplify 1.0 into 1.0 4.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.590 * [taylor]: Taking taylor expansion of x in x 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.591 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.592 * [backup-simplify]: Simplify (+ 0 0) into 0 4.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.593 * [taylor]: Taking taylor expansion of x in x 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (/ 1 1) into 1 4.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.593 * [taylor]: Taking taylor expansion of 1.0 in x 4.593 * [backup-simplify]: Simplify 1.0 into 1.0 4.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.593 * [taylor]: Taking taylor expansion of x in x 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ 1 1) into 1 4.594 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.595 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.596 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.596 * [backup-simplify]: Simplify (sqrt 0) into 0 4.599 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.599 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) 1.0)) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.606 * [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))))) 4.610 * [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))))) 4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify (* 1 1) into 1 4.611 * [backup-simplify]: Simplify (- 1) into -1 4.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.613 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.616 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.617 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.619 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.639 * [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))))))))) 4.668 * [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)))))))) 4.693 * [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))))))))))))))))))) 4.694 * [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))) 4.694 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 4.694 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.694 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.694 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.694 * [taylor]: Taking taylor expansion of x in x 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.694 * [taylor]: Taking taylor expansion of 1.0 in x 4.694 * [backup-simplify]: Simplify 1.0 into 1.0 4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.694 * [taylor]: Taking taylor expansion of x in x 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [backup-simplify]: Simplify (* 1 1) into 1 4.694 * [backup-simplify]: Simplify (/ 1 1) into 1 4.695 * [backup-simplify]: Simplify (- 1) into -1 4.695 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.695 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (- 0) into 0 4.696 * [backup-simplify]: Simplify (+ 0 0) into 0 4.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.697 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.697 * [taylor]: Taking taylor expansion of 1.0 in x 4.697 * [backup-simplify]: Simplify 1.0 into 1.0 4.697 * [taylor]: Taking taylor expansion of x in x 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.697 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.697 * [backup-simplify]: Simplify (+ 0 0) into 0 4.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.699 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.699 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.700 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.703 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.704 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.705 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.706 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.706 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.707 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.707 * [taylor]: Taking taylor expansion of x in x 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.707 * [taylor]: Taking taylor expansion of 1.0 in x 4.707 * [backup-simplify]: Simplify 1.0 into 1.0 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.707 * [taylor]: Taking taylor expansion of x in x 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.707 * [backup-simplify]: Simplify (/ 1 1) into 1 4.707 * [backup-simplify]: Simplify (- 1) into -1 4.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.708 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.709 * [backup-simplify]: Simplify (- 0) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.710 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.710 * [taylor]: Taking taylor expansion of 1.0 in x 4.710 * [backup-simplify]: Simplify 1.0 into 1.0 4.710 * [taylor]: Taking taylor expansion of x in x 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.710 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.712 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.712 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.713 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.714 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.716 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.717 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.719 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.719 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.721 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.722 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.724 * [backup-simplify]: Simplify (* 0.5 (sqrt (/ 1 (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (- 0) into 0 4.727 * [backup-simplify]: Simplify (+ 0 0) into 0 4.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.734 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.735 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.741 * [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)))) 4.743 * [backup-simplify]: Simplify (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 4.748 * [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)))) 4.748 * [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)))) 4.748 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 4.748 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.748 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.748 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.748 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.748 * [taylor]: Taking taylor expansion of x in x 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 1 into 1 4.748 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.748 * [taylor]: Taking taylor expansion of 1.0 in x 4.748 * [backup-simplify]: Simplify 1.0 into 1.0 4.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.748 * [taylor]: Taking taylor expansion of x in x 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (* 1 1) into 1 4.749 * [backup-simplify]: Simplify (/ 1 1) into 1 4.749 * [backup-simplify]: Simplify (- 1) into -1 4.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.749 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.750 * [backup-simplify]: Simplify (- 0) into 0 4.751 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.751 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.751 * [taylor]: Taking taylor expansion of 1.0 in x 4.751 * [backup-simplify]: Simplify 1.0 into 1.0 4.751 * [taylor]: Taking taylor expansion of x in x 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.754 * [backup-simplify]: Simplify (+ 0 0) into 0 4.755 * [backup-simplify]: Simplify (- 0) into 0 4.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.756 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.757 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.757 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.758 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.758 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.760 * [backup-simplify]: Simplify (- 0) into 0 4.760 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.762 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.763 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.764 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.764 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.764 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.765 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.767 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.767 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.767 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.767 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.767 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.767 * [taylor]: Taking taylor expansion of x in x 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.767 * [taylor]: Taking taylor expansion of 1.0 in x 4.767 * [backup-simplify]: Simplify 1.0 into 1.0 4.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.767 * [taylor]: Taking taylor expansion of x in x 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (* 1 1) into 1 4.768 * [backup-simplify]: Simplify (/ 1 1) into 1 4.768 * [backup-simplify]: Simplify (- 1) into -1 4.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.768 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.769 * [backup-simplify]: Simplify (- 0) into 0 4.770 * [backup-simplify]: Simplify (+ 0 0) into 0 4.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.770 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.770 * [taylor]: Taking taylor expansion of 1.0 in x 4.770 * [backup-simplify]: Simplify 1.0 into 1.0 4.770 * [taylor]: Taking taylor expansion of x in x 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.771 * [backup-simplify]: Simplify (+ 0 0) into 0 4.771 * [backup-simplify]: Simplify (- 0) into 0 4.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.772 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.773 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.773 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.774 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.775 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.776 * [backup-simplify]: Simplify (- 0) into 0 4.776 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.778 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.779 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.780 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.780 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.780 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.781 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 4.784 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.785 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 4.788 * [backup-simplify]: Simplify (/ -0.5 (sqrt (- (sqrt -1)))) into (/ -0.5 (sqrt (- (sqrt -1)))) 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (- 0) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.799 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.802 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.804 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 4.817 * [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))))) 4.827 * [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))))) 4.837 * [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))))))))) 4.837 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.837 * [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)))) 4.837 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 4.838 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.838 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.838 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.838 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.838 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.838 * [taylor]: Taking taylor expansion of 1.0 in x 4.838 * [backup-simplify]: Simplify 1.0 into 1.0 4.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.838 * [taylor]: Taking taylor expansion of x in x 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.838 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.838 * [backup-simplify]: Simplify (+ 0 0) into 0 4.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.839 * [taylor]: Taking taylor expansion of x in x 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.839 * [taylor]: Taking taylor expansion of 1.0 in x 4.839 * [backup-simplify]: Simplify 1.0 into 1.0 4.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.839 * [taylor]: Taking taylor expansion of x in x 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (/ 1 1) into 1 4.840 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.840 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.841 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.841 * [backup-simplify]: Simplify (sqrt 0) into 0 4.843 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.843 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.843 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.843 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.843 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.843 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.843 * [taylor]: Taking taylor expansion of 1.0 in x 4.843 * [backup-simplify]: Simplify 1.0 into 1.0 4.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.844 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.844 * [taylor]: Taking taylor expansion of x in x 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (/ 1 1) into 1 4.845 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.845 * [taylor]: Taking taylor expansion of 1.0 in x 4.845 * [backup-simplify]: Simplify 1.0 into 1.0 4.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.845 * [taylor]: Taking taylor expansion of x in x 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (/ 1 1) into 1 4.846 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 4.846 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.846 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 4.847 * [backup-simplify]: Simplify (sqrt 0) into 0 4.848 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.848 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) 1.0)) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.859 * [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))))) 4.864 * [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))))) 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (* 1 1) into 1 4.865 * [backup-simplify]: Simplify (- 1) into -1 4.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.867 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 4.869 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.870 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.872 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 4.891 * [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))))))))) 4.910 * [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)))))))) 4.929 * [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))))))))))))))))))) 4.929 * [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))) 4.929 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 4.929 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.929 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.930 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.930 * [taylor]: Taking taylor expansion of 1.0 in x 4.930 * [backup-simplify]: Simplify 1.0 into 1.0 4.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [backup-simplify]: Simplify (- 1) into -1 4.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.931 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (- 0) into 0 4.932 * [backup-simplify]: Simplify (+ 0 0) into 0 4.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.933 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.933 * [taylor]: Taking taylor expansion of 1.0 in x 4.933 * [backup-simplify]: Simplify 1.0 into 1.0 4.933 * [taylor]: Taking taylor expansion of x in x 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.933 * [backup-simplify]: Simplify (+ 0 0) into 0 4.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.935 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.935 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.936 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (- 0) into 0 4.938 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.942 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.943 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.945 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.945 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.947 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.947 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.947 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.948 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.948 * [taylor]: Taking taylor expansion of x in x 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 1 into 1 4.948 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.948 * [taylor]: Taking taylor expansion of 1.0 in x 4.948 * [backup-simplify]: Simplify 1.0 into 1.0 4.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.948 * [taylor]: Taking taylor expansion of x in x 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.949 * [backup-simplify]: Simplify (/ 1 1) into 1 4.949 * [backup-simplify]: Simplify (- 1) into -1 4.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.950 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (- 0) into 0 4.952 * [backup-simplify]: Simplify (+ 0 0) into 0 4.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.952 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.952 * [taylor]: Taking taylor expansion of 1.0 in x 4.952 * [backup-simplify]: Simplify 1.0 into 1.0 4.952 * [taylor]: Taking taylor expansion of x in x 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.953 * [backup-simplify]: Simplify (+ 0 0) into 0 4.954 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 4.955 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.955 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.958 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (- 0) into 0 4.960 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.962 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 4.963 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.964 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.966 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.966 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 4.968 * [backup-simplify]: Simplify (* 0.5 (sqrt (/ 1 (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (- 0) into 0 4.969 * [backup-simplify]: Simplify (+ 0 0) into 0 4.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 4.974 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.975 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 4.982 * [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)))) 4.986 * [backup-simplify]: Simplify (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 4.993 * [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)))) 4.994 * [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)))) 4.994 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 4.994 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.994 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.994 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.994 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.994 * [taylor]: Taking taylor expansion of x in x 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.994 * [taylor]: Taking taylor expansion of 1.0 in x 4.994 * [backup-simplify]: Simplify 1.0 into 1.0 4.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.995 * [taylor]: Taking taylor expansion of x in x 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (* 1 1) into 1 4.995 * [backup-simplify]: Simplify (/ 1 1) into 1 4.996 * [backup-simplify]: Simplify (- 1) into -1 4.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.996 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- 0) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 4.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.998 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.998 * [taylor]: Taking taylor expansion of 1.0 in x 4.998 * [backup-simplify]: Simplify 1.0 into 1.0 4.998 * [taylor]: Taking taylor expansion of x in x 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 4.999 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [backup-simplify]: Simplify (- 0) into 0 5.000 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 5.000 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.001 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 5.001 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.002 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.003 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (- 0) into 0 5.004 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.006 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 5.007 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 5.008 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.008 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.009 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.009 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.012 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 5.012 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.012 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.012 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.012 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.012 * [taylor]: Taking taylor expansion of x in x 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.012 * [taylor]: Taking taylor expansion of 1.0 in x 5.012 * [backup-simplify]: Simplify 1.0 into 1.0 5.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.012 * [taylor]: Taking taylor expansion of x in x 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (* 1 1) into 1 5.013 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [backup-simplify]: Simplify (- 1) into -1 5.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.013 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.015 * [backup-simplify]: Simplify (- 0) into 0 5.015 * [backup-simplify]: Simplify (+ 0 0) into 0 5.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.016 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.016 * [taylor]: Taking taylor expansion of 1.0 in x 5.016 * [backup-simplify]: Simplify 1.0 into 1.0 5.016 * [taylor]: Taking taylor expansion of x in x 5.016 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify 1 into 1 5.017 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 5.017 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify (- 0) into 0 5.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 5.020 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.021 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 5.022 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.022 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.024 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 5.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (- 0) into 0 5.026 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.030 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 5.031 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 5.033 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.033 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.033 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.034 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.038 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 5.039 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 5.041 * [backup-simplify]: Simplify (/ -0.5 (sqrt (- (sqrt -1)))) into (/ -0.5 (sqrt (- (sqrt -1)))) 5.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (- 0) into 0 5.044 * [backup-simplify]: Simplify (+ 0 0) into 0 5.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 5.053 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.055 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 5.057 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 5.064 * [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))))) 5.075 * [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))))) 5.085 * [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))))))))) 5.085 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 5.085 * [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))) 5.085 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 5.085 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 5.085 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 5.085 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 5.085 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.085 * [taylor]: Taking taylor expansion of 1.0 in x 5.085 * [backup-simplify]: Simplify 1.0 into 1.0 5.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.085 * [taylor]: Taking taylor expansion of x in x 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.086 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.086 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.086 * [backup-simplify]: Simplify (+ 0 0) into 0 5.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.087 * [taylor]: Taking taylor expansion of x in x 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (/ 1 1) into 1 5.087 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 5.087 * [taylor]: Taking taylor expansion of 1.0 in x 5.087 * [backup-simplify]: Simplify 1.0 into 1.0 5.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.087 * [taylor]: Taking taylor expansion of x in x 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (/ 1 1) into 1 5.087 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 5.087 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 5.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 5.087 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.087 * [taylor]: Taking taylor expansion of 1.0 in x 5.087 * [backup-simplify]: Simplify 1.0 into 1.0 5.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.087 * [taylor]: Taking taylor expansion of x in x 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.088 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.088 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 5.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.089 * [taylor]: Taking taylor expansion of x in x 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.090 * [backup-simplify]: Simplify (/ 1 1) into 1 5.090 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 5.090 * [taylor]: Taking taylor expansion of 1.0 in x 5.090 * [backup-simplify]: Simplify 1.0 into 1.0 5.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.090 * [taylor]: Taking taylor expansion of x in x 5.090 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify 1 into 1 5.090 * [backup-simplify]: Simplify (/ 1 1) into 1 5.091 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 5.092 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.092 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 5.093 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.095 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 5.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.096 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 5.097 * [backup-simplify]: Simplify (+ 0 0) into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.098 * [backup-simplify]: Simplify (* 1 1) into 1 5.098 * [backup-simplify]: Simplify (- 1) into -1 5.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.101 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 5.107 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 5.112 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.115 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.117 * [backup-simplify]: Simplify (- 0) into 0 5.117 * [backup-simplify]: Simplify (+ 0 0) into 0 5.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 5.121 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (+ 0 0) into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.125 * [backup-simplify]: Simplify (- 0) into 0 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.132 * [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)) 5.145 * [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)))) 5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.147 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.152 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 5.156 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 5.163 * [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))))) 5.163 * [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)) 5.163 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 5.163 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.163 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.163 * [taylor]: Taking taylor expansion of x in x 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.163 * [taylor]: Taking taylor expansion of 1.0 in x 5.163 * [backup-simplify]: Simplify 1.0 into 1.0 5.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.163 * [taylor]: Taking taylor expansion of x in x 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (* 1 1) into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.165 * [backup-simplify]: Simplify (- 1) into -1 5.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.166 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (- 0) into 0 5.168 * [backup-simplify]: Simplify (+ 0 0) into 0 5.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.169 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.169 * [taylor]: Taking taylor expansion of 1.0 in x 5.169 * [backup-simplify]: Simplify 1.0 into 1.0 5.169 * [taylor]: Taking taylor expansion of x in x 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.169 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.169 * [taylor]: Taking taylor expansion of x in x 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.169 * [taylor]: Taking taylor expansion of 1.0 in x 5.169 * [backup-simplify]: Simplify 1.0 into 1.0 5.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.169 * [taylor]: Taking taylor expansion of x in x 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (* 1 1) into 1 5.170 * [backup-simplify]: Simplify (/ 1 1) into 1 5.170 * [backup-simplify]: Simplify (- 1) into -1 5.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.171 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (- 0) into 0 5.173 * [backup-simplify]: Simplify (+ 0 0) into 0 5.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.174 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.174 * [taylor]: Taking taylor expansion of 1.0 in x 5.174 * [backup-simplify]: Simplify 1.0 into 1.0 5.174 * [taylor]: Taking taylor expansion of x in x 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 5.175 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 5.178 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.179 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 5.179 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.182 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.185 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 5.187 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 5.188 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.189 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.189 * [backup-simplify]: Simplify 1.0 into 1.0 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (- 0) into 0 5.192 * [backup-simplify]: Simplify (+ 0 0) into 0 5.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 5.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.206 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 5.208 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 5.209 * [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)))) 5.210 * [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))) 5.210 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 5.210 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.210 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.210 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.210 * [taylor]: Taking taylor expansion of x in x 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.210 * [taylor]: Taking taylor expansion of 1.0 in x 5.210 * [backup-simplify]: Simplify 1.0 into 1.0 5.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.210 * [taylor]: Taking taylor expansion of x in x 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (* 1 1) into 1 5.211 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [backup-simplify]: Simplify (- 1) into -1 5.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.212 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (- 0) into 0 5.214 * [backup-simplify]: Simplify (+ 0 0) into 0 5.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.215 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.215 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [backup-simplify]: Simplify 1.0 into 1.0 5.216 * [taylor]: Taking taylor expansion of x in x 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.216 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.216 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.216 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.216 * [taylor]: Taking taylor expansion of x in x 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.216 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.216 * [taylor]: Taking taylor expansion of 1.0 in x 5.216 * [backup-simplify]: Simplify 1.0 into 1.0 5.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.216 * [taylor]: Taking taylor expansion of x in x 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.216 * [backup-simplify]: Simplify (* 1 1) into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.217 * [backup-simplify]: Simplify (- 1) into -1 5.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.218 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (- 0) into 0 5.220 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.221 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.221 * [taylor]: Taking taylor expansion of 1.0 in x 5.221 * [backup-simplify]: Simplify 1.0 into 1.0 5.221 * [taylor]: Taking taylor expansion of x in x 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 5.222 * [backup-simplify]: Simplify (+ 0 0) into 0 5.223 * [backup-simplify]: Simplify (- 0) into 0 5.223 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 5.225 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.226 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 5.227 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.228 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 5.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (- 0) into 0 5.230 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.234 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 5.235 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 5.237 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.237 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.238 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.238 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (- 0) into 0 5.241 * [backup-simplify]: Simplify (+ 0 0) into 0 5.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 5.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.252 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 5.254 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 5.257 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 5.259 * [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))) 5.259 * * * [progress]: simplifying candidates 5.262 * [simplify]: Simplifying: (expm1 (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log1p (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (+ 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 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-1))))) (sqrt (sqrt -1)))) (- (+ (* 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))))))))) (- (+ (/ (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))) 5.268 * * [simplify]: Extracting # 0 : cost 0 5.268 * * [simplify]: Extracting # 1 : cost 0 5.268 * * [simplify]: Extracting # 2 : cost 0 5.268 * * [simplify]: Extracting # 3 : cost 0 5.268 * * [simplify]: Extracting # 4 : cost 0 5.269 * * [simplify]: Extracting # 5 : cost 0 5.269 * * [simplify]: Extracting # 6 : cost 0 5.269 * * [simplify]: Extracting # 7 : cost 0 5.269 * * [simplify]: Extracting # 8 : cost 0 5.270 * * [simplify]: Extracting # 9 : cost 0 5.270 * * [simplify]: Extracting # 10 : cost 0 5.270 * * [simplify]: Extracting # 11 : cost 0 5.270 * * [simplify]: Extracting # 12 : cost 0 5.271 * * [simplify]: Extracting # 13 : cost 0 5.271 * * [simplify]: Extracting # 14 : cost 0 5.271 * * [simplify]: Extracting # 15 : cost 0 5.271 * * [simplify]: Extracting # 16 : cost 0 5.272 * * [simplify]: Extracting # 17 : cost 0 5.272 * * [simplify]: Extracting # 18 : cost 0 5.272 * * [simplify]: Extracting # 19 : cost 0 5.273 * * [simplify]: Extracting # 20 : cost 0 5.273 * * [simplify]: Extracting # 21 : cost 0 5.273 * * [simplify]: Extracting # 22 : cost 0 5.273 * * [simplify]: Extracting # 23 : cost 0 5.274 * * [simplify]: Extracting # 24 : cost 0 5.274 * * [simplify]: Extracting # 25 : cost 0 5.274 * * [simplify]: Extracting # 26 : cost 0 5.274 * * [simplify]: Extracting # 27 : cost 0 5.275 * * [simplify]: iteration 0 : 242 enodes (cost 4691 ) 5.393 * * [simplify]: Extracting # 0 : cost 0 5.395 * * [simplify]: Extracting # 1 : cost 0 5.396 * * [simplify]: Extracting # 2 : cost 0 5.398 * * [simplify]: Extracting # 3 : cost 0 5.399 * * [simplify]: Extracting # 4 : cost 0 5.400 * * [simplify]: Extracting # 5 : cost 0 5.402 * * [simplify]: Extracting # 6 : cost 0 5.403 * * [simplify]: iteration 1 : 581 enodes (cost 3518 ) 5.813 * * [simplify]: Extracting # 0 : cost 0 5.816 * * [simplify]: Extracting # 1 : cost 0 5.819 * * [simplify]: Extracting # 2 : cost 0 5.822 * * [simplify]: Extracting # 3 : cost 0 5.825 * * [simplify]: Extracting # 4 : cost 0 5.828 * * [simplify]: iteration 2 : 2667 enodes (cost 3263 ) 7.003 * * [simplify]: Extracting # 0 : cost 0 7.010 * * [simplify]: Extracting # 1 : cost 0 7.016 * * [simplify]: Extracting # 2 : cost 0 7.030 * * [simplify]: Extracting # 3 : cost 0 7.039 * * [simplify]: Extracting # 4 : cost 0 7.044 * * [simplify]: iteration done: 5001 enodes (cost 3116 ) 7.046 * [simplify]: Simplified to: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 1 1 2 1 1 (pow (sqrt (+ (/ (sqrt (- 1.0 (* x 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3)))))) (+ (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (/ 1.0 x)) (sqrt -1)) (- (/ 1.0 x) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) 7.048 * * * [progress]: adding candidates to table 7.879 * [progress]: [Phase 3 of 3] Extracting. 7.879 * * [regime]: Finding splitpoints for: (# #) 7.880 * * * [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) 7.880 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 7.912 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 7.932 * * * * [regimes]: Trying to branch on x from (# #) 7.945 * * * [regime]: Found split indices: #