14.084 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.074 * [progress]: [Phase 2 of 3] Improving. 0.074 * [simplify]: Simplifying: (- (pow x 4.0) (pow y 4.0)) 0.074 * * [simplify]: Extracting # 0 : cost 0 0.074 * * [simplify]: Extracting # 1 : cost 0 0.074 * * [simplify]: Extracting # 2 : cost 0 0.074 * * [simplify]: Extracting # 3 : cost 0 0.074 * * [simplify]: Extracting # 4 : cost 0 0.074 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: Extracting # 3 : cost 0 0.077 * * [simplify]: Extracting # 4 : cost 0 0.077 * * [simplify]: iteration 1 : 14 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: Extracting # 3 : cost 0 0.082 * * [simplify]: Extracting # 4 : cost 0 0.082 * * [simplify]: iteration 2 : 29 enodes (cost 7 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: Extracting # 4 : cost 0 0.094 * * [simplify]: Extracting # 5 : cost 0 0.094 * * [simplify]: iteration 3 : 69 enodes (cost 7 ) 0.145 * * [simplify]: Extracting # 0 : cost 0 0.146 * * [simplify]: Extracting # 1 : cost 0 0.146 * * [simplify]: Extracting # 2 : cost 0 0.147 * * [simplify]: Extracting # 3 : cost 0 0.147 * * [simplify]: Extracting # 4 : cost 0 0.147 * * [simplify]: iteration 4 : 200 enodes (cost 7 ) 0.285 * * [simplify]: Extracting # 0 : cost 0 0.287 * * [simplify]: Extracting # 1 : cost 0 0.287 * * [simplify]: Extracting # 2 : cost 0 0.288 * * [simplify]: Extracting # 3 : cost 0 0.288 * * [simplify]: Extracting # 4 : cost 0 0.289 * * [simplify]: Extracting # 5 : cost 0 0.290 * * [simplify]: iteration 5 : 611 enodes (cost 7 ) 1.020 * * [simplify]: Extracting # 0 : cost 0 1.023 * * [simplify]: Extracting # 1 : cost 0 1.026 * * [simplify]: Extracting # 2 : cost 0 1.028 * * [simplify]: Extracting # 3 : cost 0 1.031 * * [simplify]: Extracting # 4 : cost 0 1.038 * * [simplify]: iteration 6 : 2916 enodes (cost 7 ) 2.695 * * [simplify]: Extracting # 0 : cost 0 2.705 * * [simplify]: Extracting # 1 : cost 0 2.716 * * [simplify]: Extracting # 2 : cost 0 2.726 * * [simplify]: Extracting # 3 : cost 0 2.736 * * [simplify]: Extracting # 4 : cost 0 2.745 * * [simplify]: iteration done: 5000 enodes (cost 7 ) 2.745 * [simplify]: Simplified to: (- (pow x 4.0) (pow y 4.0)) 2.746 * * [progress]: iteration 1 / 4 2.746 * * * [progress]: picking best candidate 2.750 * * * * [pick]: Picked # 2.750 * * * [progress]: localizing error 2.763 * * * [progress]: generating rewritten candidates 2.763 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.793 * * * [progress]: generating series expansions 2.793 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.793 * [backup-simplify]: Simplify (- (pow x 4.0) (pow y 4.0)) into (- (pow x 4) (pow y 4)) 2.793 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 2.793 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 2.793 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.793 * [taylor]: Taking taylor expansion of x in y 2.793 * [backup-simplify]: Simplify x into x 2.793 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.793 * [taylor]: Taking taylor expansion of y in y 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.793 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.793 * [taylor]: Taking taylor expansion of x in x 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.793 * [taylor]: Taking taylor expansion of y in x 2.793 * [backup-simplify]: Simplify y into y 2.793 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 2.793 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.793 * [taylor]: Taking taylor expansion of x in x 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.793 * [taylor]: Taking taylor expansion of y in x 2.793 * [backup-simplify]: Simplify y into y 2.793 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.794 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.794 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 2.794 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 2.794 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 2.794 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.794 * [taylor]: Taking taylor expansion of y in y 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.794 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.795 * [backup-simplify]: Simplify (- 0) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0) into 0 2.795 * [taylor]: Taking taylor expansion of 0 in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.796 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.796 * [backup-simplify]: Simplify (- 0) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [taylor]: Taking taylor expansion of 0 in y 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.798 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.798 * [backup-simplify]: Simplify (- 0) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [taylor]: Taking taylor expansion of 0 in y 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.798 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.798 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.799 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.799 * [taylor]: Taking taylor expansion of x in y 2.799 * [backup-simplify]: Simplify x into x 2.799 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.799 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.799 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.799 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.799 * [taylor]: Taking taylor expansion of y in y 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (* 1 1) into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.800 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.800 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (* 1 1) into 1 2.800 * [backup-simplify]: Simplify (* 1 1) into 1 2.801 * [backup-simplify]: Simplify (/ 1 1) into 1 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.801 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.801 * [taylor]: Taking taylor expansion of y in x 2.801 * [backup-simplify]: Simplify y into y 2.801 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.801 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.801 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.801 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.801 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (* 1 1) into 1 2.801 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.802 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.802 * [taylor]: Taking taylor expansion of y in x 2.802 * [backup-simplify]: Simplify y into y 2.802 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.802 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.802 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.802 * [backup-simplify]: Simplify (+ 1 0) into 1 2.802 * [taylor]: Taking taylor expansion of 1 in y 2.802 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [taylor]: Taking taylor expansion of 0 in y 2.804 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.806 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [taylor]: Taking taylor expansion of 0 in y 2.806 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [taylor]: Taking taylor expansion of 0 in y 2.808 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.810 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.811 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.811 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.811 * [taylor]: Taking taylor expansion of y in y 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (* 1 1) into 1 2.811 * [backup-simplify]: Simplify (* 1 1) into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [backup-simplify]: Simplify (- 1) into -1 2.812 * [backup-simplify]: Simplify -1 into -1 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.814 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.815 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [taylor]: Taking taylor expansion of 0 in y 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.820 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [taylor]: Taking taylor expansion of 0 in y 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (- 0) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 2.823 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.823 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.823 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.823 * [taylor]: Taking taylor expansion of x in y 2.823 * [backup-simplify]: Simplify x into x 2.823 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.824 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.824 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.824 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.824 * [taylor]: Taking taylor expansion of y in y 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.825 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.825 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.825 * [taylor]: Taking taylor expansion of y in x 2.825 * [backup-simplify]: Simplify y into y 2.825 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.826 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.826 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.826 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.826 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.826 * [taylor]: Taking taylor expansion of x in x 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.827 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.827 * [taylor]: Taking taylor expansion of y in x 2.827 * [backup-simplify]: Simplify y into y 2.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.827 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.827 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.827 * [backup-simplify]: Simplify (+ 1 0) into 1 2.827 * [taylor]: Taking taylor expansion of 1 in y 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [taylor]: Taking taylor expansion of 0 in y 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [taylor]: Taking taylor expansion of 0 in y 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [taylor]: Taking taylor expansion of 0 in y 2.833 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.835 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.835 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.835 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.835 * [taylor]: Taking taylor expansion of y in y 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [backup-simplify]: Simplify (- 1) into -1 2.836 * [backup-simplify]: Simplify -1 into -1 2.836 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.839 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.839 * [backup-simplify]: Simplify (- 0) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [taylor]: Taking taylor expansion of 0 in y 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (- 0) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.845 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [taylor]: Taking taylor expansion of 0 in y 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (- 0) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 2.851 * * * [progress]: simplifying candidates 2.852 * [simplify]: Simplifying: (/ (exp (pow x 4.0)) (exp (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 2.853 * * [simplify]: Extracting # 0 : cost 0 2.853 * * [simplify]: Extracting # 1 : cost 0 2.853 * * [simplify]: Extracting # 2 : cost 0 2.853 * * [simplify]: Extracting # 3 : cost 0 2.853 * * [simplify]: Extracting # 4 : cost 0 2.854 * * [simplify]: Extracting # 5 : cost 0 2.854 * * [simplify]: Extracting # 6 : cost 0 2.854 * * [simplify]: iteration 0 : 61 enodes (cost 356 ) 2.879 * * [simplify]: Extracting # 0 : cost 0 2.879 * * [simplify]: Extracting # 1 : cost 0 2.879 * * [simplify]: Extracting # 2 : cost 0 2.880 * * [simplify]: Extracting # 3 : cost 0 2.880 * * [simplify]: Extracting # 4 : cost 0 2.880 * * [simplify]: iteration 1 : 127 enodes (cost 345 ) 2.939 * * [simplify]: Extracting # 0 : cost 0 2.939 * * [simplify]: Extracting # 1 : cost 0 2.940 * * [simplify]: Extracting # 2 : cost 0 2.940 * * [simplify]: Extracting # 3 : cost 0 2.941 * * [simplify]: Extracting # 4 : cost 0 2.942 * * [simplify]: iteration 2 : 305 enodes (cost 331 ) 3.085 * * [simplify]: Extracting # 0 : cost 0 3.091 * * [simplify]: Extracting # 1 : cost 0 3.092 * * [simplify]: Extracting # 2 : cost 0 3.093 * * [simplify]: Extracting # 3 : cost 0 3.094 * * [simplify]: Extracting # 4 : cost 0 3.095 * * [simplify]: iteration 3 : 995 enodes (cost 331 ) 4.497 * * [simplify]: Extracting # 0 : cost 0 4.506 * * [simplify]: Extracting # 1 : cost 0 4.512 * * [simplify]: Extracting # 2 : cost 0 4.518 * * [simplify]: Extracting # 3 : cost 0 4.523 * * [simplify]: Extracting # 4 : cost 0 4.530 * * [simplify]: iteration 4 : 4931 enodes (cost 331 ) 8.057 * * [simplify]: Extracting # 0 : cost 0 8.067 * * [simplify]: Extracting # 1 : cost 0 8.088 * * [simplify]: Extracting # 2 : cost 0 8.099 * * [simplify]: Extracting # 3 : cost 0 8.110 * * [simplify]: iteration done: 5001 enodes (cost 331 ) 8.110 * [simplify]: Simplified to: (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 8.111 * * * [progress]: adding candidates to table 8.231 * * [progress]: iteration 2 / 4 8.231 * * * [progress]: picking best candidate 8.234 * * * * [pick]: Picked # 8.235 * * * [progress]: localizing error 8.253 * * * [progress]: generating rewritten candidates 8.253 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.300 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.330 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.501 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.539 * * * [progress]: generating series expansions 8.539 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.539 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 8.539 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 8.539 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 8.539 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.539 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.539 * [taylor]: Taking taylor expansion of x in y 8.539 * [backup-simplify]: Simplify x into x 8.539 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.539 * [taylor]: Taking taylor expansion of y in y 8.539 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.540 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.540 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 8.540 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 8.540 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.541 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 8.541 * [backup-simplify]: Simplify (+ 0 0) into 0 8.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 8.542 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.542 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.542 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.542 * [taylor]: Taking taylor expansion of x in x 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.542 * [taylor]: Taking taylor expansion of y in x 8.542 * [backup-simplify]: Simplify y into y 8.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.542 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.542 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.543 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.543 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.543 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.543 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.544 * [backup-simplify]: Simplify (- 0) into 0 8.544 * [backup-simplify]: Simplify (+ 0 0) into 0 8.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.544 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.544 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.544 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.544 * [taylor]: Taking taylor expansion of x in x 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.544 * [taylor]: Taking taylor expansion of y in x 8.544 * [backup-simplify]: Simplify y into y 8.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.545 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.545 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.545 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.545 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.545 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.546 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.546 * [backup-simplify]: Simplify (- 0) into 0 8.546 * [backup-simplify]: Simplify (+ 0 0) into 0 8.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.547 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.547 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.547 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.547 * [taylor]: Taking taylor expansion of y in y 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (* 1 1) into 1 8.548 * [backup-simplify]: Simplify (* 1 1) into 1 8.548 * [backup-simplify]: Simplify (- 1) into -1 8.549 * [backup-simplify]: Simplify (- 1) into -1 8.549 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.551 * [backup-simplify]: Simplify (- 0) into 0 8.551 * [backup-simplify]: Simplify (- 1) into -1 8.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.552 * [taylor]: Taking taylor expansion of 0 in y 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.554 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.554 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 8.556 * [taylor]: Taking taylor expansion of 0 in y 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.557 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.558 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.559 * [backup-simplify]: Simplify (- 0) into 0 8.559 * [backup-simplify]: Simplify (+ 0 0) into 0 8.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 8.560 * [taylor]: Taking taylor expansion of 0 in y 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify (* 1 1) into 1 8.561 * [backup-simplify]: Simplify (* 1 1) into 1 8.563 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.564 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.564 * [backup-simplify]: Simplify (- 0) into 0 8.565 * [backup-simplify]: Simplify (+ 1 0) into 1 8.566 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 8.566 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 8.566 * [taylor]: Taking taylor expansion of 1/2 in y 8.566 * [backup-simplify]: Simplify 1/2 into 1/2 8.566 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.566 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.566 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.566 * [taylor]: Taking taylor expansion of y in y 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.567 * [backup-simplify]: Simplify (* 1 1) into 1 8.567 * [backup-simplify]: Simplify (* 1 1) into 1 8.568 * [backup-simplify]: Simplify (- 1) into -1 8.568 * [backup-simplify]: Simplify (- 1) into -1 8.568 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.570 * [backup-simplify]: Simplify (- 0) into 0 8.570 * [backup-simplify]: Simplify (- 1) into -1 8.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.572 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 8.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.575 * [backup-simplify]: Simplify (- 0) into 0 8.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.577 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.577 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 8.578 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.578 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.578 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.578 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.578 * [taylor]: Taking taylor expansion of x in y 8.578 * [backup-simplify]: Simplify x into x 8.578 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.579 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.579 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.579 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.579 * [taylor]: Taking taylor expansion of y in y 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (* 1 1) into 1 8.579 * [backup-simplify]: Simplify (* 1 1) into 1 8.580 * [backup-simplify]: Simplify (/ 1 1) into 1 8.580 * [backup-simplify]: Simplify (- 1) into -1 8.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.580 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.582 * [backup-simplify]: Simplify (- 0) into 0 8.582 * [backup-simplify]: Simplify (+ 0 0) into 0 8.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.583 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.583 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.583 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.583 * [taylor]: Taking taylor expansion of x in x 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.587 * [backup-simplify]: Simplify (* 1 1) into 1 8.587 * [backup-simplify]: Simplify (* 1 1) into 1 8.588 * [backup-simplify]: Simplify (/ 1 1) into 1 8.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.588 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.588 * [taylor]: Taking taylor expansion of y in x 8.588 * [backup-simplify]: Simplify y into y 8.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.588 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.588 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.588 * [backup-simplify]: Simplify (+ 1 0) into 1 8.589 * [backup-simplify]: Simplify (sqrt 1) into 1 8.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.590 * [backup-simplify]: Simplify (+ 0 0) into 0 8.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.591 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.591 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.591 * [taylor]: Taking taylor expansion of x in x 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.592 * [backup-simplify]: Simplify (/ 1 1) into 1 8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.592 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.592 * [taylor]: Taking taylor expansion of y in x 8.592 * [backup-simplify]: Simplify y into y 8.592 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.592 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.592 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.592 * [backup-simplify]: Simplify (+ 1 0) into 1 8.593 * [backup-simplify]: Simplify (sqrt 1) into 1 8.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify (+ 0 0) into 0 8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.595 * [taylor]: Taking taylor expansion of 1 in y 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [taylor]: Taking taylor expansion of 0 in y 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify (+ 0 0) into 0 8.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.597 * [taylor]: Taking taylor expansion of 0 in y 8.597 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.600 * [taylor]: Taking taylor expansion of 0 in y 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.602 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.603 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.604 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.604 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.604 * [taylor]: Taking taylor expansion of -1/2 in y 8.604 * [backup-simplify]: Simplify -1/2 into -1/2 8.604 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.604 * [taylor]: Taking taylor expansion of y in y 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.605 * [backup-simplify]: Simplify (* 1 1) into 1 8.605 * [backup-simplify]: Simplify (* 1 1) into 1 8.606 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 8.612 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.612 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.612 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.612 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.613 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.613 * [taylor]: Taking taylor expansion of x in y 8.613 * [backup-simplify]: Simplify x into x 8.613 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.613 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.613 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.613 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.613 * [taylor]: Taking taylor expansion of y in y 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.614 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify (/ 1 1) into 1 8.615 * [backup-simplify]: Simplify (- 1) into -1 8.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.616 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.618 * [backup-simplify]: Simplify (- 0) into 0 8.618 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.619 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.619 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.619 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.619 * [taylor]: Taking taylor expansion of x in x 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.620 * [backup-simplify]: Simplify (* 1 1) into 1 8.620 * [backup-simplify]: Simplify (* 1 1) into 1 8.620 * [backup-simplify]: Simplify (/ 1 1) into 1 8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.621 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.621 * [taylor]: Taking taylor expansion of y in x 8.621 * [backup-simplify]: Simplify y into y 8.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.621 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.621 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.621 * [backup-simplify]: Simplify (+ 1 0) into 1 8.622 * [backup-simplify]: Simplify (sqrt 1) into 1 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.625 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.625 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.625 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.625 * [taylor]: Taking taylor expansion of x in x 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (* 1 1) into 1 8.626 * [backup-simplify]: Simplify (* 1 1) into 1 8.626 * [backup-simplify]: Simplify (/ 1 1) into 1 8.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.626 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.626 * [taylor]: Taking taylor expansion of y in x 8.626 * [backup-simplify]: Simplify y into y 8.626 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.627 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.627 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.627 * [backup-simplify]: Simplify (+ 1 0) into 1 8.628 * [backup-simplify]: Simplify (sqrt 1) into 1 8.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.630 * [backup-simplify]: Simplify (+ 0 0) into 0 8.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.631 * [taylor]: Taking taylor expansion of 1 in y 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [taylor]: Taking taylor expansion of 0 in y 8.631 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ 0 0) into 0 8.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.636 * [taylor]: Taking taylor expansion of 0 in y 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.639 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.641 * [taylor]: Taking taylor expansion of 0 in y 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.645 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.646 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.646 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.647 * [taylor]: Taking taylor expansion of -1/2 in y 8.647 * [backup-simplify]: Simplify -1/2 into -1/2 8.647 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.647 * [taylor]: Taking taylor expansion of y in y 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 1 into 1 8.647 * [backup-simplify]: Simplify (* 1 1) into 1 8.648 * [backup-simplify]: Simplify (* 1 1) into 1 8.648 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 8.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.654 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 8.654 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 8.654 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 8.654 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.655 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.655 * [taylor]: Taking taylor expansion of x in y 8.655 * [backup-simplify]: Simplify x into x 8.655 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.655 * [taylor]: Taking taylor expansion of y in y 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.655 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.655 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 8.655 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 8.655 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.656 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 8.656 * [backup-simplify]: Simplify (+ 0 0) into 0 8.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 8.656 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.656 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.656 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.657 * [taylor]: Taking taylor expansion of x in x 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.657 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.657 * [taylor]: Taking taylor expansion of y in x 8.657 * [backup-simplify]: Simplify y into y 8.657 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.657 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.657 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.657 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.657 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.658 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.658 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.658 * [backup-simplify]: Simplify (- 0) into 0 8.659 * [backup-simplify]: Simplify (+ 0 0) into 0 8.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.659 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 8.659 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.659 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.659 * [taylor]: Taking taylor expansion of x in x 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 1 into 1 8.659 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.659 * [taylor]: Taking taylor expansion of y in x 8.659 * [backup-simplify]: Simplify y into y 8.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.660 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.660 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.660 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.660 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 8.660 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.660 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.661 * [backup-simplify]: Simplify (- 0) into 0 8.661 * [backup-simplify]: Simplify (+ 0 0) into 0 8.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 8.661 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.661 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.661 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.661 * [taylor]: Taking taylor expansion of y in y 8.661 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify 1 into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.663 * [backup-simplify]: Simplify (- 1) into -1 8.663 * [backup-simplify]: Simplify (- 1) into -1 8.663 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.665 * [backup-simplify]: Simplify (- 0) into 0 8.665 * [backup-simplify]: Simplify (- 1) into -1 8.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.666 * [taylor]: Taking taylor expansion of 0 in y 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.667 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.668 * [backup-simplify]: Simplify (- 0) into 0 8.668 * [backup-simplify]: Simplify (+ 0 0) into 0 8.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 8.669 * [taylor]: Taking taylor expansion of 0 in y 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.670 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.671 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.672 * [backup-simplify]: Simplify (- 0) into 0 8.672 * [backup-simplify]: Simplify (+ 0 0) into 0 8.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 8.673 * [taylor]: Taking taylor expansion of 0 in y 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify (* 1 1) into 1 8.674 * [backup-simplify]: Simplify (* 1 1) into 1 8.675 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.677 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.677 * [backup-simplify]: Simplify (- 0) into 0 8.677 * [backup-simplify]: Simplify (+ 1 0) into 1 8.679 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 8.679 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 8.679 * [taylor]: Taking taylor expansion of 1/2 in y 8.679 * [backup-simplify]: Simplify 1/2 into 1/2 8.679 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 8.679 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.679 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.679 * [taylor]: Taking taylor expansion of y in y 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (- 1) into -1 8.680 * [backup-simplify]: Simplify (- 1) into -1 8.681 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.682 * [backup-simplify]: Simplify (- 0) into 0 8.683 * [backup-simplify]: Simplify (- 1) into -1 8.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.684 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 8.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.686 * [backup-simplify]: Simplify (- 0) into 0 8.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 8.688 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 8.690 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 8.691 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.691 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.691 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.691 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.691 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.691 * [taylor]: Taking taylor expansion of x in y 8.691 * [backup-simplify]: Simplify x into x 8.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.691 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.692 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.692 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.692 * [taylor]: Taking taylor expansion of y in y 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.692 * [backup-simplify]: Simplify (* 1 1) into 1 8.692 * [backup-simplify]: Simplify (* 1 1) into 1 8.693 * [backup-simplify]: Simplify (/ 1 1) into 1 8.693 * [backup-simplify]: Simplify (- 1) into -1 8.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.694 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.696 * [backup-simplify]: Simplify (- 0) into 0 8.697 * [backup-simplify]: Simplify (+ 0 0) into 0 8.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.697 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.697 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.697 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.697 * [taylor]: Taking taylor expansion of x in x 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.698 * [backup-simplify]: Simplify (* 1 1) into 1 8.698 * [backup-simplify]: Simplify (* 1 1) into 1 8.698 * [backup-simplify]: Simplify (/ 1 1) into 1 8.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.699 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.699 * [taylor]: Taking taylor expansion of y in x 8.699 * [backup-simplify]: Simplify y into y 8.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.699 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.699 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.700 * [backup-simplify]: Simplify (+ 1 0) into 1 8.700 * [backup-simplify]: Simplify (sqrt 1) into 1 8.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.702 * [backup-simplify]: Simplify (+ 0 0) into 0 8.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.704 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.704 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.704 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.704 * [taylor]: Taking taylor expansion of x in x 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (* 1 1) into 1 8.705 * [backup-simplify]: Simplify (* 1 1) into 1 8.706 * [backup-simplify]: Simplify (/ 1 1) into 1 8.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.706 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.706 * [taylor]: Taking taylor expansion of y in x 8.706 * [backup-simplify]: Simplify y into y 8.706 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.706 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.706 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.707 * [backup-simplify]: Simplify (+ 1 0) into 1 8.707 * [backup-simplify]: Simplify (sqrt 1) into 1 8.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (+ 0 0) into 0 8.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.711 * [taylor]: Taking taylor expansion of 1 in y 8.711 * [backup-simplify]: Simplify 1 into 1 8.711 * [taylor]: Taking taylor expansion of 0 in y 8.711 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (+ 0 0) into 0 8.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.715 * [taylor]: Taking taylor expansion of 0 in y 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.720 * [taylor]: Taking taylor expansion of 0 in y 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.724 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.724 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.725 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.725 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.725 * [taylor]: Taking taylor expansion of -1/2 in y 8.725 * [backup-simplify]: Simplify -1/2 into -1/2 8.725 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.725 * [taylor]: Taking taylor expansion of y in y 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [backup-simplify]: Simplify (* 1 1) into 1 8.726 * [backup-simplify]: Simplify (* 1 1) into 1 8.726 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 8.734 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 8.734 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 8.734 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 8.734 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.734 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.734 * [taylor]: Taking taylor expansion of x in y 8.734 * [backup-simplify]: Simplify x into x 8.734 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.734 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.734 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.734 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.734 * [taylor]: Taking taylor expansion of y in y 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [backup-simplify]: Simplify (* 1 1) into 1 8.735 * [backup-simplify]: Simplify (* 1 1) into 1 8.735 * [backup-simplify]: Simplify (/ 1 1) into 1 8.735 * [backup-simplify]: Simplify (- 1) into -1 8.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.736 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 8.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 8.738 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.738 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.738 * [taylor]: Taking taylor expansion of x in x 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.739 * [backup-simplify]: Simplify (* 1 1) into 1 8.739 * [backup-simplify]: Simplify (/ 1 1) into 1 8.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.739 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.739 * [taylor]: Taking taylor expansion of y in x 8.739 * [backup-simplify]: Simplify y into y 8.739 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.739 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.739 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.740 * [backup-simplify]: Simplify (+ 1 0) into 1 8.740 * [backup-simplify]: Simplify (sqrt 1) into 1 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (+ 0 0) into 0 8.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.742 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 8.742 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.742 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.742 * [taylor]: Taking taylor expansion of x in x 8.742 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify 1 into 1 8.742 * [backup-simplify]: Simplify (* 1 1) into 1 8.743 * [backup-simplify]: Simplify (* 1 1) into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.743 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.743 * [taylor]: Taking taylor expansion of y in x 8.743 * [backup-simplify]: Simplify y into y 8.743 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.743 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.743 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.743 * [backup-simplify]: Simplify (+ 1 0) into 1 8.744 * [backup-simplify]: Simplify (sqrt 1) into 1 8.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (+ 0 0) into 0 8.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.746 * [taylor]: Taking taylor expansion of 1 in y 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [taylor]: Taking taylor expansion of 0 in y 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.748 * [backup-simplify]: Simplify (+ 0 0) into 0 8.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 8.748 * [taylor]: Taking taylor expansion of 0 in y 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.751 * [backup-simplify]: Simplify (+ 0 0) into 0 8.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 8.752 * [taylor]: Taking taylor expansion of 0 in y 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.756 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.758 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 8.758 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 8.758 * [taylor]: Taking taylor expansion of -1/2 in y 8.758 * [backup-simplify]: Simplify -1/2 into -1/2 8.758 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.758 * [taylor]: Taking taylor expansion of y in y 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.758 * [backup-simplify]: Simplify (* 1 1) into 1 8.759 * [backup-simplify]: Simplify (* 1 1) into 1 8.759 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 8.765 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.766 * [backup-simplify]: Simplify (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) into (- (pow x 4) (pow y 4)) 8.766 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 8.766 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.766 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.766 * [taylor]: Taking taylor expansion of x in y 8.766 * [backup-simplify]: Simplify x into x 8.766 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.766 * [taylor]: Taking taylor expansion of y in y 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.766 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.766 * [taylor]: Taking taylor expansion of y in x 8.766 * [backup-simplify]: Simplify y into y 8.766 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.766 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.767 * [taylor]: Taking taylor expansion of y in x 8.767 * [backup-simplify]: Simplify y into y 8.767 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.767 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.767 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.767 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.767 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.767 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.767 * [taylor]: Taking taylor expansion of y in y 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.768 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.768 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.768 * [backup-simplify]: Simplify (- 0) into 0 8.769 * [backup-simplify]: Simplify (+ 0 0) into 0 8.769 * [taylor]: Taking taylor expansion of 0 in y 8.769 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.770 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.770 * [backup-simplify]: Simplify (- 0) into 0 8.771 * [backup-simplify]: Simplify (+ 0 0) into 0 8.771 * [taylor]: Taking taylor expansion of 0 in y 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.773 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.773 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.774 * [taylor]: Taking taylor expansion of 0 in y 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify (* (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.775 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.775 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.775 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.775 * [taylor]: Taking taylor expansion of x in y 8.775 * [backup-simplify]: Simplify x into x 8.775 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.775 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.776 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.776 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.776 * [taylor]: Taking taylor expansion of y in y 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 1 into 1 8.776 * [backup-simplify]: Simplify (* 1 1) into 1 8.777 * [backup-simplify]: Simplify (* 1 1) into 1 8.777 * [backup-simplify]: Simplify (/ 1 1) into 1 8.777 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.777 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.777 * [taylor]: Taking taylor expansion of x in x 8.777 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify 1 into 1 8.778 * [backup-simplify]: Simplify (* 1 1) into 1 8.778 * [backup-simplify]: Simplify (* 1 1) into 1 8.778 * [backup-simplify]: Simplify (/ 1 1) into 1 8.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.778 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.778 * [taylor]: Taking taylor expansion of y in x 8.778 * [backup-simplify]: Simplify y into y 8.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.779 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.779 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.779 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.779 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.779 * [taylor]: Taking taylor expansion of x in x 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 1 into 1 8.780 * [backup-simplify]: Simplify (* 1 1) into 1 8.780 * [backup-simplify]: Simplify (* 1 1) into 1 8.780 * [backup-simplify]: Simplify (/ 1 1) into 1 8.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.780 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.780 * [taylor]: Taking taylor expansion of y in x 8.780 * [backup-simplify]: Simplify y into y 8.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.781 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.781 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.781 * [backup-simplify]: Simplify (+ 1 0) into 1 8.781 * [taylor]: Taking taylor expansion of 1 in y 8.781 * [backup-simplify]: Simplify 1 into 1 8.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.784 * [backup-simplify]: Simplify (+ 0 0) into 0 8.784 * [taylor]: Taking taylor expansion of 0 in y 8.784 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [taylor]: Taking taylor expansion of 0 in y 8.788 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.791 * [backup-simplify]: Simplify (+ 0 0) into 0 8.791 * [taylor]: Taking taylor expansion of 0 in y 8.791 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.795 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.796 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.796 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.796 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.796 * [taylor]: Taking taylor expansion of y in y 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify (* 1 1) into 1 8.797 * [backup-simplify]: Simplify (* 1 1) into 1 8.797 * [backup-simplify]: Simplify (/ 1 1) into 1 8.797 * [backup-simplify]: Simplify (- 1) into -1 8.797 * [backup-simplify]: Simplify -1 into -1 8.797 * [backup-simplify]: Simplify 1 into 1 8.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.801 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.802 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.803 * [backup-simplify]: Simplify (- 0) into 0 8.803 * [backup-simplify]: Simplify (+ 0 0) into 0 8.803 * [taylor]: Taking taylor expansion of 0 in y 8.803 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.806 * [backup-simplify]: Simplify (- 0) into 0 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.811 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.811 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.812 * [backup-simplify]: Simplify (- 0) into 0 8.813 * [backup-simplify]: Simplify (+ 0 0) into 0 8.813 * [taylor]: Taking taylor expansion of 0 in y 8.813 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.816 * [backup-simplify]: Simplify (- 0) into 0 8.816 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 8.818 * [backup-simplify]: Simplify (* (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.818 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.818 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.818 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.818 * [taylor]: Taking taylor expansion of x in y 8.818 * [backup-simplify]: Simplify x into x 8.819 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.819 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.819 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.819 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.819 * [taylor]: Taking taylor expansion of y in y 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify (* 1 1) into 1 8.820 * [backup-simplify]: Simplify (* 1 1) into 1 8.820 * [backup-simplify]: Simplify (/ 1 1) into 1 8.820 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.821 * [taylor]: Taking taylor expansion of x in x 8.821 * [backup-simplify]: Simplify 0 into 0 8.821 * [backup-simplify]: Simplify 1 into 1 8.821 * [backup-simplify]: Simplify (* 1 1) into 1 8.821 * [backup-simplify]: Simplify (* 1 1) into 1 8.822 * [backup-simplify]: Simplify (/ 1 1) into 1 8.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.822 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.822 * [taylor]: Taking taylor expansion of y in x 8.822 * [backup-simplify]: Simplify y into y 8.822 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.822 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.822 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.822 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.823 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.823 * [taylor]: Taking taylor expansion of x in x 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 1 into 1 8.823 * [backup-simplify]: Simplify (* 1 1) into 1 8.823 * [backup-simplify]: Simplify (* 1 1) into 1 8.824 * [backup-simplify]: Simplify (/ 1 1) into 1 8.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.824 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.824 * [taylor]: Taking taylor expansion of y in x 8.824 * [backup-simplify]: Simplify y into y 8.824 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.824 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.824 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.825 * [backup-simplify]: Simplify (+ 1 0) into 1 8.825 * [taylor]: Taking taylor expansion of 1 in y 8.825 * [backup-simplify]: Simplify 1 into 1 8.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.828 * [backup-simplify]: Simplify (+ 0 0) into 0 8.828 * [taylor]: Taking taylor expansion of 0 in y 8.828 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.831 * [backup-simplify]: Simplify (+ 0 0) into 0 8.831 * [taylor]: Taking taylor expansion of 0 in y 8.831 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (+ 0 0) into 0 8.835 * [taylor]: Taking taylor expansion of 0 in y 8.835 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.838 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.839 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.839 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.839 * [taylor]: Taking taylor expansion of y in y 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify 1 into 1 8.839 * [backup-simplify]: Simplify (* 1 1) into 1 8.840 * [backup-simplify]: Simplify (* 1 1) into 1 8.840 * [backup-simplify]: Simplify (/ 1 1) into 1 8.840 * [backup-simplify]: Simplify (- 1) into -1 8.841 * [backup-simplify]: Simplify -1 into -1 8.841 * [backup-simplify]: Simplify 1 into 1 8.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.844 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.845 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.845 * [backup-simplify]: Simplify (- 0) into 0 8.846 * [backup-simplify]: Simplify (+ 0 0) into 0 8.846 * [taylor]: Taking taylor expansion of 0 in y 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.848 * [backup-simplify]: Simplify (- 0) into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.853 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.854 * [backup-simplify]: Simplify (- 0) into 0 8.855 * [backup-simplify]: Simplify (+ 0 0) into 0 8.855 * [taylor]: Taking taylor expansion of 0 in y 8.855 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.858 * [backup-simplify]: Simplify (- 0) into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 8.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.859 * [backup-simplify]: Simplify (- (pow x 4.0) (pow y 4.0)) into (- (pow x 4) (pow y 4)) 8.859 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 8.859 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 8.859 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.859 * [taylor]: Taking taylor expansion of x in y 8.859 * [backup-simplify]: Simplify x into x 8.859 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.859 * [taylor]: Taking taylor expansion of y in y 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.859 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.859 * [taylor]: Taking taylor expansion of x in x 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.859 * [taylor]: Taking taylor expansion of y in x 8.859 * [backup-simplify]: Simplify y into y 8.859 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 8.859 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.860 * [taylor]: Taking taylor expansion of x in x 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.860 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.860 * [taylor]: Taking taylor expansion of y in x 8.860 * [backup-simplify]: Simplify y into y 8.860 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.860 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.860 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 8.860 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 8.860 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 8.860 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.860 * [taylor]: Taking taylor expansion of y in y 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.861 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.861 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.861 * [backup-simplify]: Simplify (- 0) into 0 8.862 * [backup-simplify]: Simplify (+ 0 0) into 0 8.862 * [taylor]: Taking taylor expansion of 0 in y 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.863 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.863 * [backup-simplify]: Simplify (- 0) into 0 8.864 * [backup-simplify]: Simplify (+ 0 0) into 0 8.864 * [taylor]: Taking taylor expansion of 0 in y 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.866 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.866 * [backup-simplify]: Simplify (- 0) into 0 8.866 * [backup-simplify]: Simplify (+ 0 0) into 0 8.866 * [taylor]: Taking taylor expansion of 0 in y 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.867 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.867 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.867 * [taylor]: Taking taylor expansion of x in y 8.867 * [backup-simplify]: Simplify x into x 8.867 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.868 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.868 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.868 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.868 * [taylor]: Taking taylor expansion of y in y 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [backup-simplify]: Simplify (* 1 1) into 1 8.869 * [backup-simplify]: Simplify (* 1 1) into 1 8.869 * [backup-simplify]: Simplify (/ 1 1) into 1 8.869 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.869 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.869 * [taylor]: Taking taylor expansion of x in x 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify 1 into 1 8.870 * [backup-simplify]: Simplify (* 1 1) into 1 8.870 * [backup-simplify]: Simplify (* 1 1) into 1 8.870 * [backup-simplify]: Simplify (/ 1 1) into 1 8.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.870 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.870 * [taylor]: Taking taylor expansion of y in x 8.870 * [backup-simplify]: Simplify y into y 8.871 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.871 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.871 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.871 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.871 * [taylor]: Taking taylor expansion of x in x 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * [backup-simplify]: Simplify (* 1 1) into 1 8.872 * [backup-simplify]: Simplify (* 1 1) into 1 8.872 * [backup-simplify]: Simplify (/ 1 1) into 1 8.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.872 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.872 * [taylor]: Taking taylor expansion of y in x 8.872 * [backup-simplify]: Simplify y into y 8.872 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.873 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.873 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.873 * [backup-simplify]: Simplify (+ 1 0) into 1 8.873 * [taylor]: Taking taylor expansion of 1 in y 8.873 * [backup-simplify]: Simplify 1 into 1 8.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.876 * [backup-simplify]: Simplify (+ 0 0) into 0 8.876 * [taylor]: Taking taylor expansion of 0 in y 8.876 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.883 * [backup-simplify]: Simplify (+ 0 0) into 0 8.883 * [taylor]: Taking taylor expansion of 0 in y 8.883 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ 0 0) into 0 8.886 * [taylor]: Taking taylor expansion of 0 in y 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.888 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.888 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.888 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.888 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.888 * [taylor]: Taking taylor expansion of y in y 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.889 * [backup-simplify]: Simplify (* 1 1) into 1 8.889 * [backup-simplify]: Simplify (* 1 1) into 1 8.889 * [backup-simplify]: Simplify (/ 1 1) into 1 8.889 * [backup-simplify]: Simplify (- 1) into -1 8.889 * [backup-simplify]: Simplify -1 into -1 8.890 * [backup-simplify]: Simplify 1 into 1 8.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.892 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.893 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [taylor]: Taking taylor expansion of 0 in y 8.893 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.895 * [backup-simplify]: Simplify (- 0) into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.898 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.899 * [backup-simplify]: Simplify (- 0) into 0 8.899 * [backup-simplify]: Simplify (+ 0 0) into 0 8.899 * [taylor]: Taking taylor expansion of 0 in y 8.899 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (- 0) into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 8.902 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 8.902 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 8.902 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 8.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 8.902 * [taylor]: Taking taylor expansion of (pow x 4) in y 8.902 * [taylor]: Taking taylor expansion of x in y 8.902 * [backup-simplify]: Simplify x into x 8.902 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.902 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.902 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 8.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.902 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.902 * [taylor]: Taking taylor expansion of y in y 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.903 * [backup-simplify]: Simplify (* 1 1) into 1 8.903 * [backup-simplify]: Simplify (* 1 1) into 1 8.903 * [backup-simplify]: Simplify (/ 1 1) into 1 8.903 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.903 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.903 * [taylor]: Taking taylor expansion of x in x 8.903 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [backup-simplify]: Simplify (* 1 1) into 1 8.904 * [backup-simplify]: Simplify (* 1 1) into 1 8.904 * [backup-simplify]: Simplify (/ 1 1) into 1 8.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.904 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.904 * [taylor]: Taking taylor expansion of y in x 8.904 * [backup-simplify]: Simplify y into y 8.904 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.905 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.905 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.905 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 8.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 8.905 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.905 * [taylor]: Taking taylor expansion of x in x 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [backup-simplify]: Simplify (* 1 1) into 1 8.905 * [backup-simplify]: Simplify (* 1 1) into 1 8.906 * [backup-simplify]: Simplify (/ 1 1) into 1 8.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 8.906 * [taylor]: Taking taylor expansion of (pow y 4) in x 8.906 * [taylor]: Taking taylor expansion of y in x 8.906 * [backup-simplify]: Simplify y into y 8.906 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.906 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 8.906 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 8.906 * [backup-simplify]: Simplify (+ 1 0) into 1 8.906 * [taylor]: Taking taylor expansion of 1 in y 8.906 * [backup-simplify]: Simplify 1 into 1 8.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (+ 0 0) into 0 8.908 * [taylor]: Taking taylor expansion of 0 in y 8.908 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (+ 0 0) into 0 8.910 * [taylor]: Taking taylor expansion of 0 in y 8.910 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (+ 0 0) into 0 8.912 * [taylor]: Taking taylor expansion of 0 in y 8.912 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.914 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 8.914 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 8.914 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 8.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.914 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.914 * [taylor]: Taking taylor expansion of y in y 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [backup-simplify]: Simplify (* 1 1) into 1 8.915 * [backup-simplify]: Simplify (* 1 1) into 1 8.915 * [backup-simplify]: Simplify (/ 1 1) into 1 8.916 * [backup-simplify]: Simplify (- 1) into -1 8.916 * [backup-simplify]: Simplify -1 into -1 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.918 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.918 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 8.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 8.919 * [backup-simplify]: Simplify (- 0) into 0 8.919 * [backup-simplify]: Simplify (+ 0 0) into 0 8.919 * [taylor]: Taking taylor expansion of 0 in y 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (- 0) into 0 8.921 * [backup-simplify]: Simplify 0 into 0 8.921 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.925 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.925 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 8.926 * [backup-simplify]: Simplify (- 0) into 0 8.926 * [backup-simplify]: Simplify (+ 0 0) into 0 8.926 * [taylor]: Taking taylor expansion of 0 in y 8.926 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 8.928 * * * [progress]: simplifying candidates 8.931 * [simplify]: Simplifying: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (+ 1 1) (+ (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0))))) (log (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (exp (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (cbrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))))) (cbrt (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) 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4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 8.936 * * [simplify]: Extracting # 0 : cost 0 8.936 * * [simplify]: Extracting # 1 : cost 0 8.936 * * [simplify]: Extracting # 2 : cost 0 8.936 * * [simplify]: Extracting # 3 : cost 0 8.936 * * [simplify]: Extracting # 4 : cost 0 8.937 * * [simplify]: Extracting # 5 : cost 0 8.937 * * [simplify]: Extracting # 6 : cost 0 8.937 * * [simplify]: Extracting # 7 : cost 0 8.937 * * [simplify]: iteration 0 : 184 enodes (cost 3514 ) 9.006 * * [simplify]: Extracting # 0 : cost 0 9.007 * * [simplify]: Extracting # 1 : cost 0 9.008 * * [simplify]: Extracting # 2 : cost 0 9.008 * * [simplify]: Extracting # 3 : cost 0 9.009 * * [simplify]: Extracting # 4 : cost 0 9.009 * * [simplify]: Extracting # 5 : cost 0 9.010 * * [simplify]: iteration 1 : 306 enodes (cost 2563 ) 9.131 * * [simplify]: Extracting # 0 : cost 0 9.133 * * [simplify]: Extracting # 1 : cost 0 9.135 * * [simplify]: Extracting # 2 : cost 0 9.136 * * [simplify]: Extracting # 3 : cost 0 9.138 * * [simplify]: Extracting # 4 : cost 0 9.140 * * [simplify]: iteration 2 : 851 enodes (cost 2463 ) 9.807 * * [simplify]: Extracting # 0 : cost 0 9.812 * * [simplify]: Extracting # 1 : cost 0 9.822 * * [simplify]: Extracting # 2 : cost 0 9.825 * * [simplify]: Extracting # 3 : cost 0 9.828 * * [simplify]: Extracting # 4 : cost 0 9.831 * * [simplify]: iteration 3 : 2190 enodes (cost 2424 ) 11.072 * * [simplify]: Extracting # 0 : cost 0 11.078 * * [simplify]: Extracting # 1 : cost 0 11.084 * * [simplify]: Extracting # 2 : cost 0 11.090 * * [simplify]: Extracting # 3 : cost 0 11.100 * * [simplify]: Extracting # 4 : cost 0 11.116 * * [simplify]: iteration done: 5000 enodes (cost 2398 ) 11.119 * [simplify]: Simplified to: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 1 2 1 1 (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 4) (- (pow x 4.0) (pow y 4.0)) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 4) 2 (log (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (pow (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) 4) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 4) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0))))) (* (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow y 4.0) (pow x 4.0)) (pow (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 4) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (pow (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) 4) (cbrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (- (pow x 4.0) (pow y 4.0)) 1 (- (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow y (/ 4.0 2)) (pow x (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) 1 (- (pow x 4.0) (pow y 4.0)) 1 (- (pow x 4.0) (pow y 4.0)) 1 (- (pow x 4.0) (pow y 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (- (pow x 4.0) (pow y 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) 1 2 1 (pow (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (+ 4 1)) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (fabs (cbrt (- (pow x 4.0) (pow y 4.0))))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (pow (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 4) (* (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (- (pow x 4.0) (pow y 4.0)) (* (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (- (pow x 4.0) (pow y 4.0)) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (pow (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) 4) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow y 4.0) (pow x 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow y (/ 4.0 2)) (pow x (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 11.122 * * * [progress]: adding candidates to table 11.849 * * [progress]: iteration 3 / 4 11.849 * * * [progress]: picking best candidate 11.854 * * * * [pick]: Picked # 11.854 * * * [progress]: localizing error 11.885 * * * [progress]: generating rewritten candidates 11.885 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 11.919 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 11.951 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.988 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 12.034 * * * [progress]: generating series expansions 12.035 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 12.035 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 12.035 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 12.035 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 12.035 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.035 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.035 * [taylor]: Taking taylor expansion of x in y 12.035 * [backup-simplify]: Simplify x into x 12.035 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.035 * [taylor]: Taking taylor expansion of y in y 12.035 * [backup-simplify]: Simplify 0 into 0 12.035 * [backup-simplify]: Simplify 1 into 1 12.035 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.035 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.035 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.036 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 12.036 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.036 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 12.036 * [backup-simplify]: Simplify (+ 0 0) into 0 12.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 12.036 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.036 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.036 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.037 * [taylor]: Taking taylor expansion of x in x 12.037 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify 1 into 1 12.037 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.037 * [taylor]: Taking taylor expansion of y in x 12.037 * [backup-simplify]: Simplify y into y 12.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.037 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.037 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.037 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.037 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.037 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.037 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.038 * [backup-simplify]: Simplify (- 0) into 0 12.038 * [backup-simplify]: Simplify (+ 0 0) into 0 12.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.038 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.038 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.038 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.038 * [taylor]: Taking taylor expansion of x in x 12.038 * [backup-simplify]: Simplify 0 into 0 12.038 * [backup-simplify]: Simplify 1 into 1 12.038 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.038 * [taylor]: Taking taylor expansion of y in x 12.038 * [backup-simplify]: Simplify y into y 12.038 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.038 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.038 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.039 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.039 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.039 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.039 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.039 * [backup-simplify]: Simplify (- 0) into 0 12.040 * [backup-simplify]: Simplify (+ 0 0) into 0 12.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.040 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.040 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.040 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.040 * [taylor]: Taking taylor expansion of y in y 12.040 * [backup-simplify]: Simplify 0 into 0 12.040 * [backup-simplify]: Simplify 1 into 1 12.040 * [backup-simplify]: Simplify (* 1 1) into 1 12.040 * [backup-simplify]: Simplify (* 1 1) into 1 12.041 * [backup-simplify]: Simplify (- 1) into -1 12.041 * [backup-simplify]: Simplify (- 1) into -1 12.041 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.042 * [backup-simplify]: Simplify (- 0) into 0 12.043 * [backup-simplify]: Simplify (- 1) into -1 12.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.043 * [taylor]: Taking taylor expansion of 0 in y 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.044 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.044 * [backup-simplify]: Simplify (- 0) into 0 12.044 * [backup-simplify]: Simplify (+ 0 0) into 0 12.045 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 12.045 * [taylor]: Taking taylor expansion of 0 in y 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.047 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.047 * [backup-simplify]: Simplify (- 0) into 0 12.047 * [backup-simplify]: Simplify (+ 0 0) into 0 12.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 12.048 * [taylor]: Taking taylor expansion of 0 in y 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify (* 1 1) into 1 12.048 * [backup-simplify]: Simplify (* 1 1) into 1 12.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.050 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.051 * [backup-simplify]: Simplify (- 0) into 0 12.051 * [backup-simplify]: Simplify (+ 1 0) into 1 12.052 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 12.052 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 12.052 * [taylor]: Taking taylor expansion of 1/2 in y 12.052 * [backup-simplify]: Simplify 1/2 into 1/2 12.052 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.052 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.052 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.052 * [taylor]: Taking taylor expansion of y in y 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [backup-simplify]: Simplify (* 1 1) into 1 12.052 * [backup-simplify]: Simplify (* 1 1) into 1 12.053 * [backup-simplify]: Simplify (- 1) into -1 12.053 * [backup-simplify]: Simplify (- 1) into -1 12.053 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.054 * [backup-simplify]: Simplify (- 0) into 0 12.054 * [backup-simplify]: Simplify (- 1) into -1 12.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.055 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 12.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.057 * [backup-simplify]: Simplify (- 0) into 0 12.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 12.058 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 12.059 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 12.059 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify 0 into 0 12.060 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 12.060 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.060 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.060 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.060 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.060 * [taylor]: Taking taylor expansion of x in y 12.060 * [backup-simplify]: Simplify x into x 12.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.060 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.060 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.060 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.060 * [taylor]: Taking taylor expansion of y in y 12.060 * [backup-simplify]: Simplify 0 into 0 12.060 * [backup-simplify]: Simplify 1 into 1 12.061 * [backup-simplify]: Simplify (* 1 1) into 1 12.061 * [backup-simplify]: Simplify (* 1 1) into 1 12.061 * [backup-simplify]: Simplify (/ 1 1) into 1 12.061 * [backup-simplify]: Simplify (- 1) into -1 12.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.062 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.064 * [backup-simplify]: Simplify (- 0) into 0 12.064 * [backup-simplify]: Simplify (+ 0 0) into 0 12.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.065 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.065 * [taylor]: Taking taylor expansion of x in x 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.066 * [backup-simplify]: Simplify (* 1 1) into 1 12.066 * [backup-simplify]: Simplify (* 1 1) into 1 12.066 * [backup-simplify]: Simplify (/ 1 1) into 1 12.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.067 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.067 * [taylor]: Taking taylor expansion of y in x 12.067 * [backup-simplify]: Simplify y into y 12.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.067 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.067 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.068 * [backup-simplify]: Simplify (+ 1 0) into 1 12.068 * [backup-simplify]: Simplify (sqrt 1) into 1 12.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.070 * [backup-simplify]: Simplify (+ 0 0) into 0 12.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.071 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.071 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.071 * [taylor]: Taking taylor expansion of x in x 12.071 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify 1 into 1 12.072 * [backup-simplify]: Simplify (* 1 1) into 1 12.072 * [backup-simplify]: Simplify (* 1 1) into 1 12.073 * [backup-simplify]: Simplify (/ 1 1) into 1 12.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.073 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.073 * [taylor]: Taking taylor expansion of y in x 12.073 * [backup-simplify]: Simplify y into y 12.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.073 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.073 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.074 * [backup-simplify]: Simplify (+ 1 0) into 1 12.079 * [backup-simplify]: Simplify (sqrt 1) into 1 12.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.083 * [backup-simplify]: Simplify (+ 0 0) into 0 12.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.084 * [taylor]: Taking taylor expansion of 1 in y 12.084 * [backup-simplify]: Simplify 1 into 1 12.084 * [taylor]: Taking taylor expansion of 0 in y 12.084 * [backup-simplify]: Simplify 0 into 0 12.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.087 * [backup-simplify]: Simplify (+ 0 0) into 0 12.088 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.088 * [taylor]: Taking taylor expansion of 0 in y 12.088 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.092 * [backup-simplify]: Simplify (+ 0 0) into 0 12.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.093 * [taylor]: Taking taylor expansion of 0 in y 12.093 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.097 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.098 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.099 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.100 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.100 * [taylor]: Taking taylor expansion of -1/2 in y 12.100 * [backup-simplify]: Simplify -1/2 into -1/2 12.100 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.100 * [taylor]: Taking taylor expansion of y in y 12.100 * [backup-simplify]: Simplify 0 into 0 12.100 * [backup-simplify]: Simplify 1 into 1 12.100 * [backup-simplify]: Simplify (* 1 1) into 1 12.101 * [backup-simplify]: Simplify (* 1 1) into 1 12.101 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 12.107 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.107 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.107 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.107 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.107 * [taylor]: Taking taylor expansion of x in y 12.107 * [backup-simplify]: Simplify x into x 12.108 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.108 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.108 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.108 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.108 * [taylor]: Taking taylor expansion of y in y 12.108 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (* 1 1) into 1 12.109 * [backup-simplify]: Simplify (* 1 1) into 1 12.109 * [backup-simplify]: Simplify (/ 1 1) into 1 12.110 * [backup-simplify]: Simplify (- 1) into -1 12.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.110 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify (- 0) into 0 12.113 * [backup-simplify]: Simplify (+ 0 0) into 0 12.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.114 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.114 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.114 * [taylor]: Taking taylor expansion of x in x 12.114 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify 1 into 1 12.114 * [backup-simplify]: Simplify (* 1 1) into 1 12.115 * [backup-simplify]: Simplify (* 1 1) into 1 12.115 * [backup-simplify]: Simplify (/ 1 1) into 1 12.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.115 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.115 * [taylor]: Taking taylor expansion of y in x 12.115 * [backup-simplify]: Simplify y into y 12.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.116 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.116 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.116 * [backup-simplify]: Simplify (+ 1 0) into 1 12.117 * [backup-simplify]: Simplify (sqrt 1) into 1 12.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.119 * [backup-simplify]: Simplify (+ 0 0) into 0 12.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.120 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.120 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.120 * [taylor]: Taking taylor expansion of x in x 12.120 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify 1 into 1 12.120 * [backup-simplify]: Simplify (* 1 1) into 1 12.121 * [backup-simplify]: Simplify (* 1 1) into 1 12.121 * [backup-simplify]: Simplify (/ 1 1) into 1 12.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.121 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.121 * [taylor]: Taking taylor expansion of y in x 12.121 * [backup-simplify]: Simplify y into y 12.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.121 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.122 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.122 * [backup-simplify]: Simplify (+ 1 0) into 1 12.122 * [backup-simplify]: Simplify (sqrt 1) into 1 12.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (+ 0 0) into 0 12.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.126 * [taylor]: Taking taylor expansion of 1 in y 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [taylor]: Taking taylor expansion of 0 in y 12.126 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (+ 0 0) into 0 12.130 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.130 * [taylor]: Taking taylor expansion of 0 in y 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify 1 into 1 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.134 * [backup-simplify]: Simplify (+ 0 0) into 0 12.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.135 * [taylor]: Taking taylor expansion of 0 in y 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.139 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.139 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.141 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.141 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.141 * [taylor]: Taking taylor expansion of -1/2 in y 12.141 * [backup-simplify]: Simplify -1/2 into -1/2 12.141 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.141 * [taylor]: Taking taylor expansion of y in y 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 1 into 1 12.141 * [backup-simplify]: Simplify (* 1 1) into 1 12.142 * [backup-simplify]: Simplify (* 1 1) into 1 12.142 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.147 * [backup-simplify]: Simplify 0 into 0 12.147 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 12.148 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 12.148 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 12.148 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 12.148 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 12.148 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.149 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.149 * [taylor]: Taking taylor expansion of x in y 12.149 * [backup-simplify]: Simplify x into x 12.149 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.149 * [taylor]: Taking taylor expansion of y in y 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 1 into 1 12.149 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.149 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.149 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.149 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 12.149 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.150 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 12.150 * [backup-simplify]: Simplify (+ 0 0) into 0 12.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 12.150 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.150 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.150 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.150 * [taylor]: Taking taylor expansion of x in x 12.150 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify 1 into 1 12.150 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.150 * [taylor]: Taking taylor expansion of y in x 12.151 * [backup-simplify]: Simplify y into y 12.151 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.151 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.151 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.151 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.151 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.152 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.152 * [backup-simplify]: Simplify (- 0) into 0 12.152 * [backup-simplify]: Simplify (+ 0 0) into 0 12.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.153 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.153 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.153 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.153 * [taylor]: Taking taylor expansion of x in x 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 1 into 1 12.153 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.153 * [taylor]: Taking taylor expansion of y in x 12.153 * [backup-simplify]: Simplify y into y 12.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.153 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.153 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.154 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.154 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.154 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.155 * [backup-simplify]: Simplify (- 0) into 0 12.155 * [backup-simplify]: Simplify (+ 0 0) into 0 12.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.155 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.155 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.155 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.155 * [taylor]: Taking taylor expansion of y in y 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 1 into 1 12.156 * [backup-simplify]: Simplify (* 1 1) into 1 12.156 * [backup-simplify]: Simplify (* 1 1) into 1 12.157 * [backup-simplify]: Simplify (- 1) into -1 12.157 * [backup-simplify]: Simplify (- 1) into -1 12.157 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.159 * [backup-simplify]: Simplify (- 0) into 0 12.159 * [backup-simplify]: Simplify (- 1) into -1 12.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.160 * [taylor]: Taking taylor expansion of 0 in y 12.160 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify 0 into 0 12.161 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.162 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.162 * [backup-simplify]: Simplify (- 0) into 0 12.163 * [backup-simplify]: Simplify (+ 0 0) into 0 12.164 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 12.164 * [taylor]: Taking taylor expansion of 0 in y 12.164 * [backup-simplify]: Simplify 0 into 0 12.164 * [backup-simplify]: Simplify 0 into 0 12.164 * [backup-simplify]: Simplify 0 into 0 12.165 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.166 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.167 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.167 * [backup-simplify]: Simplify (- 0) into 0 12.167 * [backup-simplify]: Simplify (+ 0 0) into 0 12.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 12.169 * [taylor]: Taking taylor expansion of 0 in y 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify (* 1 1) into 1 12.170 * [backup-simplify]: Simplify (* 1 1) into 1 12.171 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.172 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.173 * [backup-simplify]: Simplify (- 0) into 0 12.173 * [backup-simplify]: Simplify (+ 1 0) into 1 12.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 12.174 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 12.174 * [taylor]: Taking taylor expansion of 1/2 in y 12.175 * [backup-simplify]: Simplify 1/2 into 1/2 12.175 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.175 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.175 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.175 * [taylor]: Taking taylor expansion of y in y 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [backup-simplify]: Simplify (* 1 1) into 1 12.175 * [backup-simplify]: Simplify (* 1 1) into 1 12.176 * [backup-simplify]: Simplify (- 1) into -1 12.176 * [backup-simplify]: Simplify (- 1) into -1 12.177 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.178 * [backup-simplify]: Simplify (- 0) into 0 12.179 * [backup-simplify]: Simplify (- 1) into -1 12.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.180 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 12.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.183 * [backup-simplify]: Simplify (- 0) into 0 12.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 12.185 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 12.187 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 12.188 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.188 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.188 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.188 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.188 * [taylor]: Taking taylor expansion of x in y 12.188 * [backup-simplify]: Simplify x into x 12.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.188 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.189 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.189 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.189 * [taylor]: Taking taylor expansion of y in y 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 1 into 1 12.189 * [backup-simplify]: Simplify (* 1 1) into 1 12.189 * [backup-simplify]: Simplify (* 1 1) into 1 12.190 * [backup-simplify]: Simplify (/ 1 1) into 1 12.190 * [backup-simplify]: Simplify (- 1) into -1 12.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.191 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.194 * [backup-simplify]: Simplify (- 0) into 0 12.194 * [backup-simplify]: Simplify (+ 0 0) into 0 12.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.195 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.195 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.195 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.195 * [taylor]: Taking taylor expansion of x in x 12.195 * [backup-simplify]: Simplify 0 into 0 12.195 * [backup-simplify]: Simplify 1 into 1 12.195 * [backup-simplify]: Simplify (* 1 1) into 1 12.196 * [backup-simplify]: Simplify (* 1 1) into 1 12.196 * [backup-simplify]: Simplify (/ 1 1) into 1 12.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.196 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.196 * [taylor]: Taking taylor expansion of y in x 12.196 * [backup-simplify]: Simplify y into y 12.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.197 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.197 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.197 * [backup-simplify]: Simplify (+ 1 0) into 1 12.198 * [backup-simplify]: Simplify (sqrt 1) into 1 12.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.200 * [backup-simplify]: Simplify (+ 0 0) into 0 12.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.201 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.201 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.201 * [taylor]: Taking taylor expansion of x in x 12.201 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify 1 into 1 12.202 * [backup-simplify]: Simplify (* 1 1) into 1 12.202 * [backup-simplify]: Simplify (* 1 1) into 1 12.202 * [backup-simplify]: Simplify (/ 1 1) into 1 12.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.202 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.203 * [taylor]: Taking taylor expansion of y in x 12.203 * [backup-simplify]: Simplify y into y 12.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.203 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.203 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.204 * [backup-simplify]: Simplify (+ 1 0) into 1 12.204 * [backup-simplify]: Simplify (sqrt 1) into 1 12.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.206 * [backup-simplify]: Simplify (+ 0 0) into 0 12.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.207 * [taylor]: Taking taylor expansion of 1 in y 12.207 * [backup-simplify]: Simplify 1 into 1 12.207 * [taylor]: Taking taylor expansion of 0 in y 12.207 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.211 * [backup-simplify]: Simplify (+ 0 0) into 0 12.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.212 * [taylor]: Taking taylor expansion of 0 in y 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify 1 into 1 12.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.216 * [backup-simplify]: Simplify (+ 0 0) into 0 12.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.217 * [taylor]: Taking taylor expansion of 0 in y 12.217 * [backup-simplify]: Simplify 0 into 0 12.217 * [backup-simplify]: Simplify 0 into 0 12.217 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.221 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.223 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.223 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.223 * [taylor]: Taking taylor expansion of -1/2 in y 12.223 * [backup-simplify]: Simplify -1/2 into -1/2 12.223 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.223 * [taylor]: Taking taylor expansion of y in y 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify 1 into 1 12.223 * [backup-simplify]: Simplify (* 1 1) into 1 12.224 * [backup-simplify]: Simplify (* 1 1) into 1 12.224 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 12.230 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.230 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.230 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.230 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.231 * [taylor]: Taking taylor expansion of x in y 12.231 * [backup-simplify]: Simplify x into x 12.231 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.231 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.231 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.231 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.231 * [taylor]: Taking taylor expansion of y in y 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 1 into 1 12.232 * [backup-simplify]: Simplify (* 1 1) into 1 12.232 * [backup-simplify]: Simplify (* 1 1) into 1 12.232 * [backup-simplify]: Simplify (/ 1 1) into 1 12.233 * [backup-simplify]: Simplify (- 1) into -1 12.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.234 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.240 * [backup-simplify]: Simplify (- 0) into 0 12.241 * [backup-simplify]: Simplify (+ 0 0) into 0 12.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.242 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.242 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.242 * [taylor]: Taking taylor expansion of x in x 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (* 1 1) into 1 12.243 * [backup-simplify]: Simplify (* 1 1) into 1 12.243 * [backup-simplify]: Simplify (/ 1 1) into 1 12.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.243 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.243 * [taylor]: Taking taylor expansion of y in x 12.243 * [backup-simplify]: Simplify y into y 12.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.244 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.244 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.245 * [backup-simplify]: Simplify (+ 1 0) into 1 12.245 * [backup-simplify]: Simplify (sqrt 1) into 1 12.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.248 * [backup-simplify]: Simplify (+ 0 0) into 0 12.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.249 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.249 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.249 * [taylor]: Taking taylor expansion of x in x 12.249 * [backup-simplify]: Simplify 0 into 0 12.249 * [backup-simplify]: Simplify 1 into 1 12.249 * [backup-simplify]: Simplify (* 1 1) into 1 12.250 * [backup-simplify]: Simplify (* 1 1) into 1 12.250 * [backup-simplify]: Simplify (/ 1 1) into 1 12.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.250 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.250 * [taylor]: Taking taylor expansion of y in x 12.250 * [backup-simplify]: Simplify y into y 12.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.250 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.251 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.251 * [backup-simplify]: Simplify (+ 1 0) into 1 12.252 * [backup-simplify]: Simplify (sqrt 1) into 1 12.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (+ 0 0) into 0 12.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.255 * [taylor]: Taking taylor expansion of 1 in y 12.255 * [backup-simplify]: Simplify 1 into 1 12.255 * [taylor]: Taking taylor expansion of 0 in y 12.255 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (+ 0 0) into 0 12.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.258 * [taylor]: Taking taylor expansion of 0 in y 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.260 * [backup-simplify]: Simplify (+ 0 0) into 0 12.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.261 * [taylor]: Taking taylor expansion of 0 in y 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify 0 into 0 12.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.263 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.263 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.264 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.264 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.264 * [taylor]: Taking taylor expansion of -1/2 in y 12.264 * [backup-simplify]: Simplify -1/2 into -1/2 12.264 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.264 * [taylor]: Taking taylor expansion of y in y 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (* 1 1) into 1 12.265 * [backup-simplify]: Simplify (* 1 1) into 1 12.265 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 12.269 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.269 * [backup-simplify]: Simplify (sqrt (- (pow x 4.0) (pow y 4.0))) into (sqrt (- (pow x 4) (pow y 4))) 12.269 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in (x y) around 0 12.269 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in y 12.269 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.269 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.269 * [taylor]: Taking taylor expansion of x in y 12.269 * [backup-simplify]: Simplify x into x 12.269 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.269 * [taylor]: Taking taylor expansion of y in y 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 1 into 1 12.269 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.269 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.269 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.269 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 12.270 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.270 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 12.270 * [backup-simplify]: Simplify (+ 0 0) into 0 12.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 12.270 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.270 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.270 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.270 * [taylor]: Taking taylor expansion of x in x 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify 1 into 1 12.270 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.270 * [taylor]: Taking taylor expansion of y in x 12.270 * [backup-simplify]: Simplify y into y 12.270 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.270 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.271 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.271 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.271 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.271 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.271 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.271 * [backup-simplify]: Simplify (- 0) into 0 12.271 * [backup-simplify]: Simplify (+ 0 0) into 0 12.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.272 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 4))) in x 12.272 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.272 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.272 * [taylor]: Taking taylor expansion of x in x 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 1 into 1 12.272 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.272 * [taylor]: Taking taylor expansion of y in x 12.272 * [backup-simplify]: Simplify y into y 12.272 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.272 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.272 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.272 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.272 * [backup-simplify]: Simplify (sqrt (- (pow y 4))) into (sqrt (- (pow y 4))) 12.272 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.272 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.273 * [backup-simplify]: Simplify (- 0) into 0 12.273 * [backup-simplify]: Simplify (+ 0 0) into 0 12.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 4))))) into 0 12.273 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.273 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.273 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.273 * [taylor]: Taking taylor expansion of y in y 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (* 1 1) into 1 12.274 * [backup-simplify]: Simplify (* 1 1) into 1 12.274 * [backup-simplify]: Simplify (- 1) into -1 12.274 * [backup-simplify]: Simplify (- 1) into -1 12.275 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.276 * [backup-simplify]: Simplify (- 0) into 0 12.276 * [backup-simplify]: Simplify (- 1) into -1 12.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.276 * [taylor]: Taking taylor expansion of 0 in y 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.277 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.277 * [backup-simplify]: Simplify (- 0) into 0 12.278 * [backup-simplify]: Simplify (+ 0 0) into 0 12.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 4))))) into 0 12.278 * [taylor]: Taking taylor expansion of 0 in y 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.279 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.280 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.280 * [backup-simplify]: Simplify (- 0) into 0 12.280 * [backup-simplify]: Simplify (+ 0 0) into 0 12.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into 0 12.281 * [taylor]: Taking taylor expansion of 0 in y 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify (* 1 1) into 1 12.282 * [backup-simplify]: Simplify (* 1 1) into 1 12.282 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.283 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.284 * [backup-simplify]: Simplify (- 0) into 0 12.284 * [backup-simplify]: Simplify (+ 1 0) into 1 12.285 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 4))))) into (/ 1/2 (sqrt (- (pow y 4)))) 12.285 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow y 4)))) in y 12.285 * [taylor]: Taking taylor expansion of 1/2 in y 12.285 * [backup-simplify]: Simplify 1/2 into 1/2 12.285 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 4))) in y 12.285 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.285 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.285 * [taylor]: Taking taylor expansion of y in y 12.285 * [backup-simplify]: Simplify 0 into 0 12.285 * [backup-simplify]: Simplify 1 into 1 12.285 * [backup-simplify]: Simplify (* 1 1) into 1 12.285 * [backup-simplify]: Simplify (* 1 1) into 1 12.285 * [backup-simplify]: Simplify (- 1) into -1 12.286 * [backup-simplify]: Simplify (- 1) into -1 12.286 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.287 * [backup-simplify]: Simplify (- 0) into 0 12.287 * [backup-simplify]: Simplify (- 1) into -1 12.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.288 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 12.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.290 * [backup-simplify]: Simplify (- 0) into 0 12.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 12.291 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 12.292 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify (* (sqrt -1) (pow (* y 1) 2)) into (* (pow y 2) (sqrt -1)) 12.293 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.293 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.293 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.293 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.293 * [taylor]: Taking taylor expansion of x in y 12.293 * [backup-simplify]: Simplify x into x 12.293 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.293 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.293 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.293 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.293 * [taylor]: Taking taylor expansion of y in y 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.294 * [backup-simplify]: Simplify (* 1 1) into 1 12.294 * [backup-simplify]: Simplify (* 1 1) into 1 12.294 * [backup-simplify]: Simplify (/ 1 1) into 1 12.294 * [backup-simplify]: Simplify (- 1) into -1 12.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.295 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.296 * [backup-simplify]: Simplify (- 0) into 0 12.297 * [backup-simplify]: Simplify (+ 0 0) into 0 12.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.297 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.297 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.297 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.297 * [taylor]: Taking taylor expansion of x in x 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 1 into 1 12.297 * [backup-simplify]: Simplify (* 1 1) into 1 12.298 * [backup-simplify]: Simplify (* 1 1) into 1 12.298 * [backup-simplify]: Simplify (/ 1 1) into 1 12.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.298 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.298 * [taylor]: Taking taylor expansion of y in x 12.298 * [backup-simplify]: Simplify y into y 12.298 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.298 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.298 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.299 * [backup-simplify]: Simplify (+ 1 0) into 1 12.299 * [backup-simplify]: Simplify (sqrt 1) into 1 12.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.300 * [backup-simplify]: Simplify (+ 0 0) into 0 12.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.301 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.301 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.301 * [taylor]: Taking taylor expansion of x in x 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 1 into 1 12.301 * [backup-simplify]: Simplify (* 1 1) into 1 12.302 * [backup-simplify]: Simplify (* 1 1) into 1 12.302 * [backup-simplify]: Simplify (/ 1 1) into 1 12.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.302 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.302 * [taylor]: Taking taylor expansion of y in x 12.302 * [backup-simplify]: Simplify y into y 12.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.302 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.302 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.302 * [backup-simplify]: Simplify (+ 1 0) into 1 12.303 * [backup-simplify]: Simplify (sqrt 1) into 1 12.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.304 * [backup-simplify]: Simplify (+ 0 0) into 0 12.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.305 * [taylor]: Taking taylor expansion of 1 in y 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [taylor]: Taking taylor expansion of 0 in y 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.307 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.307 * [taylor]: Taking taylor expansion of 0 in y 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify 1 into 1 12.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (+ 0 0) into 0 12.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.310 * [taylor]: Taking taylor expansion of 0 in y 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.313 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.313 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.314 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.314 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.314 * [taylor]: Taking taylor expansion of -1/2 in y 12.314 * [backup-simplify]: Simplify -1/2 into -1/2 12.314 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.314 * [taylor]: Taking taylor expansion of y in y 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 1 into 1 12.314 * [backup-simplify]: Simplify (* 1 1) into 1 12.315 * [backup-simplify]: Simplify (* 1 1) into 1 12.315 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 12.321 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 12.321 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 12.321 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.321 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.322 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.322 * [taylor]: Taking taylor expansion of x in y 12.322 * [backup-simplify]: Simplify x into x 12.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.322 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.322 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.322 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.322 * [taylor]: Taking taylor expansion of y in y 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (* 1 1) into 1 12.323 * [backup-simplify]: Simplify (* 1 1) into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.324 * [backup-simplify]: Simplify (- 1) into -1 12.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.325 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (- 0) into 0 12.328 * [backup-simplify]: Simplify (+ 0 0) into 0 12.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 12.328 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.328 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.328 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.329 * [taylor]: Taking taylor expansion of x in x 12.329 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify 1 into 1 12.329 * [backup-simplify]: Simplify (* 1 1) into 1 12.329 * [backup-simplify]: Simplify (* 1 1) into 1 12.330 * [backup-simplify]: Simplify (/ 1 1) into 1 12.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.330 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.330 * [taylor]: Taking taylor expansion of y in x 12.330 * [backup-simplify]: Simplify y into y 12.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.330 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.330 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.331 * [backup-simplify]: Simplify (+ 1 0) into 1 12.331 * [backup-simplify]: Simplify (sqrt 1) into 1 12.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.334 * [backup-simplify]: Simplify (+ 0 0) into 0 12.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.335 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.335 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.335 * [taylor]: Taking taylor expansion of x in x 12.335 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 1 into 1 12.336 * [backup-simplify]: Simplify (* 1 1) into 1 12.336 * [backup-simplify]: Simplify (* 1 1) into 1 12.337 * [backup-simplify]: Simplify (/ 1 1) into 1 12.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.337 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.337 * [taylor]: Taking taylor expansion of y in x 12.337 * [backup-simplify]: Simplify y into y 12.337 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.337 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.337 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.338 * [backup-simplify]: Simplify (+ 1 0) into 1 12.338 * [backup-simplify]: Simplify (sqrt 1) into 1 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (+ 0 0) into 0 12.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.342 * [taylor]: Taking taylor expansion of 1 in y 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [taylor]: Taking taylor expansion of 0 in y 12.342 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ 0 0) into 0 12.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 12.346 * [taylor]: Taking taylor expansion of 0 in y 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.350 * [backup-simplify]: Simplify (+ 0 0) into 0 12.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 12.351 * [taylor]: Taking taylor expansion of 0 in y 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.355 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 12.355 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 12.357 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 12.357 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 4)) in y 12.357 * [taylor]: Taking taylor expansion of -1/2 in y 12.357 * [backup-simplify]: Simplify -1/2 into -1/2 12.357 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.357 * [taylor]: Taking taylor expansion of y in y 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 1 into 1 12.358 * [backup-simplify]: Simplify (* 1 1) into 1 12.358 * [backup-simplify]: Simplify (* 1 1) into 1 12.362 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 12.368 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 12.369 * [backup-simplify]: Simplify (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) into (pow (- (pow x 4) (pow y 4)) 1/4) 12.369 * [approximate]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in (x y) around 0 12.369 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in y 12.369 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in y 12.369 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in y 12.369 * [taylor]: Taking taylor expansion of 1/4 in y 12.369 * [backup-simplify]: Simplify 1/4 into 1/4 12.369 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in y 12.369 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 12.369 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.369 * [taylor]: Taking taylor expansion of x in y 12.369 * [backup-simplify]: Simplify x into x 12.369 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.369 * [taylor]: Taking taylor expansion of y in y 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.369 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.369 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 12.369 * [backup-simplify]: Simplify (log (pow x 4)) into (log (pow x 4)) 12.369 * [backup-simplify]: Simplify (* 1/4 (log (pow x 4))) into (* 1/4 (log (pow x 4))) 12.370 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 4)))) into (pow (pow x 4) 1/4) 12.370 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in x 12.370 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in x 12.370 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in x 12.370 * [taylor]: Taking taylor expansion of 1/4 in x 12.370 * [backup-simplify]: Simplify 1/4 into 1/4 12.370 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in x 12.370 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.370 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.370 * [taylor]: Taking taylor expansion of x in x 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.370 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.370 * [taylor]: Taking taylor expansion of y in x 12.370 * [backup-simplify]: Simplify y into y 12.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.370 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.370 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.370 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.370 * [backup-simplify]: Simplify (log (- (pow y 4))) into (log (- (pow y 4))) 12.370 * [backup-simplify]: Simplify (* 1/4 (log (- (pow y 4)))) into (* 1/4 (log (- (pow y 4)))) 12.370 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (pow y 4))))) into (pow (- (pow y 4)) 1/4) 12.371 * [taylor]: Taking taylor expansion of (pow (- (pow x 4) (pow y 4)) 1/4) in x 12.371 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow x 4) (pow y 4))))) in x 12.371 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow x 4) (pow y 4)))) in x 12.371 * [taylor]: Taking taylor expansion of 1/4 in x 12.371 * [backup-simplify]: Simplify 1/4 into 1/4 12.371 * [taylor]: Taking taylor expansion of (log (- (pow x 4) (pow y 4))) in x 12.371 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 12.371 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.371 * [taylor]: Taking taylor expansion of x in x 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 1 into 1 12.371 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.371 * [taylor]: Taking taylor expansion of y in x 12.371 * [backup-simplify]: Simplify y into y 12.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.371 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.371 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 12.371 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 12.371 * [backup-simplify]: Simplify (log (- (pow y 4))) into (log (- (pow y 4))) 12.371 * [backup-simplify]: Simplify (* 1/4 (log (- (pow y 4)))) into (* 1/4 (log (- (pow y 4)))) 12.371 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (pow y 4))))) into (pow (- (pow y 4)) 1/4) 12.372 * [taylor]: Taking taylor expansion of (pow (- (pow y 4)) 1/4) in y 12.372 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (pow y 4))))) in y 12.372 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (pow y 4)))) in y 12.372 * [taylor]: Taking taylor expansion of 1/4 in y 12.372 * [backup-simplify]: Simplify 1/4 into 1/4 12.372 * [taylor]: Taking taylor expansion of (log (- (pow y 4))) in y 12.372 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 12.372 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.372 * [taylor]: Taking taylor expansion of y in y 12.372 * [backup-simplify]: Simplify 0 into 0 12.372 * [backup-simplify]: Simplify 1 into 1 12.372 * [backup-simplify]: Simplify (* 1 1) into 1 12.372 * [backup-simplify]: Simplify (* 1 1) into 1 12.373 * [backup-simplify]: Simplify (- 1) into -1 12.373 * [backup-simplify]: Simplify (- 1) into -1 12.373 * [backup-simplify]: Simplify (log -1) into (log -1) 12.374 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 12.374 * [backup-simplify]: Simplify (* 1/4 (+ (log -1) (* 4 (log y)))) into (* 1/4 (+ (log -1) (* 4 (log y)))) 12.374 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 12.375 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 12.375 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.375 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 12.375 * [backup-simplify]: Simplify (- 0) into 0 12.375 * [backup-simplify]: Simplify (+ 0 0) into 0 12.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (pow y 4)) 1)))) 1) into 0 12.376 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (- (pow y 4))))) into 0 12.377 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.377 * [taylor]: Taking taylor expansion of 0 in y 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.378 * [backup-simplify]: Simplify (- 0) into 0 12.379 * [backup-simplify]: Simplify (- 1) into -1 12.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.380 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 12.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (log -1) (* 4 (log y))))) into 0 12.381 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log -1) (* 4 (log y))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.381 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.382 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 12.382 * [backup-simplify]: Simplify (- 0) into 0 12.383 * [backup-simplify]: Simplify (+ 0 0) into 0 12.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (pow y 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (pow y 4)) 1)))) 2) into 0 12.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (- (pow y 4)))))) into 0 12.386 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.386 * [taylor]: Taking taylor expansion of 0 in y 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (- 0) into 0 12.386 * [backup-simplify]: Simplify (- 1) into -1 12.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.388 * [backup-simplify]: Simplify (- 0) into 0 12.388 * [backup-simplify]: Simplify (- 1) into -1 12.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.390 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) (log -1)) into (+ (log -1) (* 4 (log y))) 12.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (log -1) (* 4 (log y)))))) into 0 12.392 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log -1) (* 4 (log y))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.392 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.393 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.393 * [backup-simplify]: Simplify (- 0) into 0 12.394 * [backup-simplify]: Simplify (+ 0 0) into 0 12.396 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (pow y 4)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (pow y 4)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (pow y 4)) 1)))) 6) into 0 12.398 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (pow y 4))))))) into 0 12.400 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (- (pow y 4))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.400 * [taylor]: Taking taylor expansion of 0 in y 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log -1) (* 4 (log y))))) into (exp (* 1/4 (+ (log -1) (* 4 (log y))))) 12.401 * [backup-simplify]: Simplify (sqrt (sqrt (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)))) into (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) 12.401 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in (x y) around 0 12.401 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in y 12.402 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in y 12.402 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in y 12.402 * [taylor]: Taking taylor expansion of 1/4 in y 12.402 * [backup-simplify]: Simplify 1/4 into 1/4 12.402 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.402 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.402 * [taylor]: Taking taylor expansion of x in y 12.402 * [backup-simplify]: Simplify x into x 12.402 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.402 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.402 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.402 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.402 * [taylor]: Taking taylor expansion of y in y 12.402 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (* 1 1) into 1 12.403 * [backup-simplify]: Simplify (* 1 1) into 1 12.404 * [backup-simplify]: Simplify (/ 1 1) into 1 12.404 * [backup-simplify]: Simplify (- 1) into -1 12.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.405 * [backup-simplify]: Simplify (log -1) into (log -1) 12.406 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) (log -1)) into (- (log -1) (* 4 (log y))) 12.406 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (* 4 (log y)))) into (* 1/4 (- (log -1) (* 4 (log y)))) 12.407 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (* 4 (log y))))) into (exp (* 1/4 (- (log -1) (* 4 (log y))))) 12.407 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.407 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.407 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.407 * [taylor]: Taking taylor expansion of 1/4 in x 12.407 * [backup-simplify]: Simplify 1/4 into 1/4 12.407 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.407 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.407 * [taylor]: Taking taylor expansion of x in x 12.407 * [backup-simplify]: Simplify 0 into 0 12.407 * [backup-simplify]: Simplify 1 into 1 12.408 * [backup-simplify]: Simplify (* 1 1) into 1 12.408 * [backup-simplify]: Simplify (* 1 1) into 1 12.408 * [backup-simplify]: Simplify (/ 1 1) into 1 12.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.408 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.409 * [taylor]: Taking taylor expansion of y in x 12.409 * [backup-simplify]: Simplify y into y 12.409 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.409 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.409 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.410 * [backup-simplify]: Simplify (+ 1 0) into 1 12.410 * [backup-simplify]: Simplify (log 1) into 0 12.410 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.411 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.411 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.411 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.411 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.411 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.411 * [taylor]: Taking taylor expansion of 1/4 in x 12.411 * [backup-simplify]: Simplify 1/4 into 1/4 12.411 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.411 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.411 * [taylor]: Taking taylor expansion of x in x 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [backup-simplify]: Simplify (* 1 1) into 1 12.412 * [backup-simplify]: Simplify (* 1 1) into 1 12.413 * [backup-simplify]: Simplify (/ 1 1) into 1 12.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.413 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.413 * [taylor]: Taking taylor expansion of y in x 12.413 * [backup-simplify]: Simplify y into y 12.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.413 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.413 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.414 * [backup-simplify]: Simplify (+ 1 0) into 1 12.414 * [backup-simplify]: Simplify (log 1) into 0 12.415 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.415 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.415 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.415 * [taylor]: Taking taylor expansion of (pow x -1) in y 12.415 * [taylor]: Taking taylor expansion of x in y 12.415 * [backup-simplify]: Simplify x into x 12.415 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.415 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.418 * [backup-simplify]: Simplify (+ 0 0) into 0 12.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.420 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 4 (log x))))) into 0 12.420 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.420 * [taylor]: Taking taylor expansion of 0 in y 12.420 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.423 * [backup-simplify]: Simplify (+ 0 0) into 0 12.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.425 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into 0 12.426 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.426 * [taylor]: Taking taylor expansion of 0 in y 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (+ 0 0) into 0 12.432 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.432 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 12.434 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.434 * [taylor]: Taking taylor expansion of 0 in y 12.434 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify (/ 1 (/ 1 x)) into x 12.434 * [backup-simplify]: Simplify (sqrt (sqrt (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)))) into (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) 12.434 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in (x y) around 0 12.434 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in y 12.434 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in y 12.435 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in y 12.435 * [taylor]: Taking taylor expansion of 1/4 in y 12.435 * [backup-simplify]: Simplify 1/4 into 1/4 12.435 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 12.435 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 12.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 12.435 * [taylor]: Taking taylor expansion of (pow x 4) in y 12.435 * [taylor]: Taking taylor expansion of x in y 12.435 * [backup-simplify]: Simplify x into x 12.435 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.435 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 12.435 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 12.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 12.435 * [taylor]: Taking taylor expansion of (pow y 4) in y 12.435 * [taylor]: Taking taylor expansion of y in y 12.435 * [backup-simplify]: Simplify 0 into 0 12.435 * [backup-simplify]: Simplify 1 into 1 12.435 * [backup-simplify]: Simplify (* 1 1) into 1 12.436 * [backup-simplify]: Simplify (* 1 1) into 1 12.436 * [backup-simplify]: Simplify (/ 1 1) into 1 12.436 * [backup-simplify]: Simplify (- 1) into -1 12.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.437 * [backup-simplify]: Simplify (log -1) into (log -1) 12.437 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) (log -1)) into (- (log -1) (* 4 (log y))) 12.438 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (* 4 (log y)))) into (* 1/4 (- (log -1) (* 4 (log y)))) 12.438 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (* 4 (log y))))) into (exp (* 1/4 (- (log -1) (* 4 (log y))))) 12.438 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.438 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.438 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.438 * [taylor]: Taking taylor expansion of 1/4 in x 12.438 * [backup-simplify]: Simplify 1/4 into 1/4 12.438 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.438 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.438 * [taylor]: Taking taylor expansion of x in x 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [backup-simplify]: Simplify (* 1 1) into 1 12.439 * [backup-simplify]: Simplify (* 1 1) into 1 12.439 * [backup-simplify]: Simplify (/ 1 1) into 1 12.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.439 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.439 * [taylor]: Taking taylor expansion of y in x 12.439 * [backup-simplify]: Simplify y into y 12.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.439 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.439 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.440 * [backup-simplify]: Simplify (+ 1 0) into 1 12.440 * [backup-simplify]: Simplify (log 1) into 0 12.440 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.440 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.440 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.440 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1/4) in x 12.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))))) in x 12.440 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4))))) in x 12.440 * [taylor]: Taking taylor expansion of 1/4 in x 12.440 * [backup-simplify]: Simplify 1/4 into 1/4 12.440 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 12.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 12.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.440 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.440 * [taylor]: Taking taylor expansion of x in x 12.440 * [backup-simplify]: Simplify 0 into 0 12.440 * [backup-simplify]: Simplify 1 into 1 12.441 * [backup-simplify]: Simplify (* 1 1) into 1 12.441 * [backup-simplify]: Simplify (* 1 1) into 1 12.441 * [backup-simplify]: Simplify (/ 1 1) into 1 12.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 12.441 * [taylor]: Taking taylor expansion of (pow y 4) in x 12.441 * [taylor]: Taking taylor expansion of y in x 12.441 * [backup-simplify]: Simplify y into y 12.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.441 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 12.442 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 12.442 * [backup-simplify]: Simplify (+ 1 0) into 1 12.442 * [backup-simplify]: Simplify (log 1) into 0 12.442 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.443 * [backup-simplify]: Simplify (* 1/4 (- (* 4 (log x)))) into (* -1 (log x)) 12.443 * [backup-simplify]: Simplify (exp (* -1 (log x))) into (pow x -1) 12.443 * [taylor]: Taking taylor expansion of (pow x -1) in y 12.443 * [taylor]: Taking taylor expansion of x in y 12.443 * [backup-simplify]: Simplify x into x 12.443 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.443 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.444 * [backup-simplify]: Simplify (+ 0 0) into 0 12.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.446 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 4 (log x))))) into 0 12.446 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.446 * [taylor]: Taking taylor expansion of 0 in y 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 12.447 * [backup-simplify]: Simplify 0 into 0 12.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.450 * [backup-simplify]: Simplify (+ 0 0) into 0 12.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.453 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into 0 12.456 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.456 * [taylor]: Taking taylor expansion of 0 in y 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 12.456 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.460 * [backup-simplify]: Simplify (+ 0 0) into 0 12.465 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.466 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.467 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 12.469 * [backup-simplify]: Simplify (* (exp (* -1 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.469 * [taylor]: Taking taylor expansion of 0 in y 12.469 * [backup-simplify]: Simplify 0 into 0 12.469 * [backup-simplify]: Simplify 0 into 0 12.469 * [backup-simplify]: Simplify (/ 1 (/ 1 (- x))) into (* -1 x) 12.469 * * * [progress]: simplifying candidates 12.473 * [simplify]: Simplifying: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (* (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (pow 1 4.0)) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt 1) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0))))) (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (/ 1 2) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (exp (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (* (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))))) (sqrt (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))))) (sqrt (sqrt (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt 1)) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (sqrt (pow 1 4.0))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt 1) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)))) (sqrt (sqrt (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))))) (sqrt (sqrt (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))))) (sqrt (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (exp (* 1/4 (+ (log -1) (* 4 (log y))))) x (* -1 x) 12.478 * * [simplify]: Extracting # 0 : cost 0 12.478 * * [simplify]: Extracting # 1 : cost 0 12.479 * * [simplify]: Extracting # 2 : cost 0 12.479 * * [simplify]: Extracting # 3 : cost 0 12.479 * * [simplify]: Extracting # 4 : cost 0 12.479 * * [simplify]: Extracting # 5 : cost 0 12.479 * * [simplify]: Extracting # 6 : cost 0 12.480 * * [simplify]: Extracting # 7 : cost 0 12.480 * * [simplify]: Extracting # 8 : cost 0 12.480 * * [simplify]: iteration 0 : 136 enodes (cost 1849 ) 12.511 * * [simplify]: Extracting # 0 : cost 0 12.511 * * [simplify]: Extracting # 1 : cost 0 12.512 * * [simplify]: Extracting # 2 : cost 0 12.512 * * [simplify]: Extracting # 3 : cost 0 12.513 * * [simplify]: Extracting # 4 : cost 0 12.513 * * [simplify]: Extracting # 5 : cost 0 12.514 * * [simplify]: iteration 1 : 226 enodes (cost 1683 ) 12.596 * * [simplify]: Extracting # 0 : cost 0 12.597 * * [simplify]: Extracting # 1 : cost 0 12.598 * * [simplify]: Extracting # 2 : cost 0 12.599 * * [simplify]: Extracting # 3 : cost 0 12.599 * * [simplify]: Extracting # 4 : cost 0 12.600 * * [simplify]: iteration 2 : 422 enodes (cost 1658 ) 12.731 * * [simplify]: Extracting # 0 : cost 0 12.732 * * [simplify]: Extracting # 1 : cost 0 12.734 * * [simplify]: Extracting # 2 : cost 0 12.735 * * [simplify]: Extracting # 3 : cost 0 12.736 * * [simplify]: Extracting # 4 : cost 0 12.737 * * [simplify]: Extracting # 5 : cost 0 12.738 * * [simplify]: iteration 3 : 1053 enodes (cost 1653 ) 13.821 * * [simplify]: Extracting # 0 : cost 0 13.833 * * [simplify]: Extracting # 1 : cost 0 13.837 * * [simplify]: Extracting # 2 : cost 0 13.843 * * [simplify]: Extracting # 3 : cost 0 13.851 * * [simplify]: Extracting # 4 : cost 0 13.859 * * [simplify]: iteration 4 : 4103 enodes (cost 1653 ) 15.957 * * [simplify]: Extracting # 0 : cost 0 15.968 * * [simplify]: Extracting # 1 : cost 0 15.973 * * [simplify]: Extracting # 2 : cost 0 15.981 * * [simplify]: Extracting # 3 : cost 0 15.990 * * [simplify]: Extracting # 4 : cost 0 15.999 * * [simplify]: iteration done: 5001 enodes (cost 1653 ) 16.001 * [simplify]: Simplified to: (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (- (pow x 4.0) (pow y 4.0)))) (exp (sqrt (- (pow x 4.0) (pow y 4.0)))) (* (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (pow (sqrt (- (pow x 4.0) (pow y 4.0))) 3) (fabs (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (cbrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0))) (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0)))) (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2)))) (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0))) (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0)))) (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2)))) (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0))) (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))) (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2)))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) 1 (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0))))) (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0))) 1/2 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (log (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (exp (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))))) (cbrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (pow (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 3) (fabs (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (cbrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (fabs (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (cbrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))) (sqrt (sqrt (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) (sqrt (sqrt (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) 1 (sqrt (sqrt (- (pow x 4.0) (pow y 4.0)))) (sqrt (sqrt (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)))) (sqrt (sqrt (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))))) (sqrt (sqrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0))))) (sqrt (sqrt (+ (pow x 4.0) (pow y 4.0)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (sqrt (sqrt (sqrt (- (pow x 4.0) (pow y 4.0))))) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow y 2) (sqrt -1)) (pow x 2) (pow x 2) (* (pow -1 1/4) y) x (- x) 16.003 * * * [progress]: adding candidates to table 16.709 * [progress]: [Phase 3 of 3] Extracting. 16.710 * * [regime]: Finding splitpoints for: (# #) 16.712 * * * [regime-changes]: Trying 5 branch expressions: ((pow y 4.0) (pow x 4.0) (- (pow x 4.0) (pow y 4.0)) y x) 16.712 * * * * [regimes]: Trying to branch on (pow y 4.0) from (# #) 16.746 * * * * [regimes]: Trying to branch on (pow x 4.0) from (# #) 16.776 * * * * [regimes]: Trying to branch on (- (pow x 4.0) (pow y 4.0)) from (# #) 16.812 * * * * [regimes]: Trying to branch on y from (# #) 16.825 * * * * [regimes]: Trying to branch on x from (# #) 16.843 * * * [regime]: Found split indices: #