19.042 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (* (+ x y) (- x y)) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: Extracting # 3 : cost 0 0.037 * * [simplify]: Extracting # 4 : cost 0 0.037 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.039 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.069 * * [simplify]: Extracting # 0 : cost 0 0.069 * * [simplify]: Extracting # 1 : cost 0 0.069 * * [simplify]: Extracting # 2 : cost 0 0.069 * * [simplify]: iteration 4 : 122 enodes (cost 7 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: Extracting # 1 : cost 0 0.115 * * [simplify]: Extracting # 2 : cost 0 0.115 * * [simplify]: iteration 5 : 176 enodes (cost 7 ) 0.187 * * [simplify]: Extracting # 0 : cost 0 0.188 * * [simplify]: Extracting # 1 : cost 0 0.188 * * [simplify]: Extracting # 2 : cost 0 0.188 * * [simplify]: iteration 6 : 261 enodes (cost 7 ) 0.308 * * [simplify]: Extracting # 0 : cost 0 0.308 * * [simplify]: Extracting # 1 : cost 0 0.309 * * [simplify]: Extracting # 2 : cost 0 0.309 * * [simplify]: Extracting # 3 : cost 0 0.309 * * [simplify]: Extracting # 4 : cost 0 0.310 * * [simplify]: iteration 7 : 399 enodes (cost 7 ) 0.598 * * [simplify]: Extracting # 0 : cost 0 0.600 * * [simplify]: Extracting # 1 : cost 0 0.601 * * [simplify]: Extracting # 2 : cost 0 0.602 * * [simplify]: iteration 8 : 787 enodes (cost 7 ) 2.628 * * [simplify]: Extracting # 0 : cost 0 2.630 * * [simplify]: Extracting # 1 : cost 0 2.635 * * [simplify]: Extracting # 2 : cost 0 2.637 * * [simplify]: Extracting # 3 : cost 0 2.639 * * [simplify]: Extracting # 4 : cost 0 2.642 * * [simplify]: iteration 9 : 1977 enodes (cost 7 ) 4.700 * * [simplify]: Extracting # 0 : cost 0 4.717 * * [simplify]: Extracting # 1 : cost 0 4.721 * * [simplify]: Extracting # 2 : cost 0 4.725 * * [simplify]: Extracting # 3 : cost 0 4.729 * * [simplify]: Extracting # 4 : cost 0 4.733 * * [simplify]: iteration done: 5000 enodes (cost 7 ) 4.733 * [simplify]: Simplified to: (* (+ x y) (- x y)) 4.733 * * [progress]: iteration 1 / 4 4.733 * * * [progress]: picking best candidate 4.735 * * * * [pick]: Picked # 4.735 * * * [progress]: localizing error 4.740 * * * [progress]: generating rewritten candidates 4.740 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.799 * * * [progress]: generating series expansions 4.799 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.799 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 4.799 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 4.799 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.799 * [taylor]: Taking taylor expansion of (+ x y) in y 4.799 * [taylor]: Taking taylor expansion of x in y 4.799 * [backup-simplify]: Simplify x into x 4.799 * [taylor]: Taking taylor expansion of y in y 4.799 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [taylor]: Taking taylor expansion of (- x y) in y 4.800 * [taylor]: Taking taylor expansion of x in y 4.800 * [backup-simplify]: Simplify x into x 4.800 * [taylor]: Taking taylor expansion of y in y 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.800 * [taylor]: Taking taylor expansion of (+ x y) in x 4.800 * [taylor]: Taking taylor expansion of x in x 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [taylor]: Taking taylor expansion of y in x 4.800 * [backup-simplify]: Simplify y into y 4.800 * [taylor]: Taking taylor expansion of (- x y) in x 4.800 * [taylor]: Taking taylor expansion of x in x 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [taylor]: Taking taylor expansion of y in x 4.800 * [backup-simplify]: Simplify y into y 4.800 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.800 * [taylor]: Taking taylor expansion of (+ x y) in x 4.800 * [taylor]: Taking taylor expansion of x in x 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [taylor]: Taking taylor expansion of y in x 4.800 * [backup-simplify]: Simplify y into y 4.800 * [taylor]: Taking taylor expansion of (- x y) in x 4.800 * [taylor]: Taking taylor expansion of x in x 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [taylor]: Taking taylor expansion of y in x 4.800 * [backup-simplify]: Simplify y into y 4.800 * [backup-simplify]: Simplify (+ 0 y) into y 4.800 * [backup-simplify]: Simplify (- y) into (- y) 4.801 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.801 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.801 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 4.801 * [taylor]: Taking taylor expansion of -1 in y 4.801 * [backup-simplify]: Simplify -1 into -1 4.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.801 * [taylor]: Taking taylor expansion of y in y 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.802 * [backup-simplify]: Simplify (- 0) into 0 4.802 * [backup-simplify]: Simplify (+ 1 0) into 1 4.802 * [backup-simplify]: Simplify (+ 1 0) into 1 4.803 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.803 * [taylor]: Taking taylor expansion of 0 in y 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify (- 0) into 0 4.803 * [backup-simplify]: Simplify (+ 0 0) into 0 4.804 * [backup-simplify]: Simplify (+ 0 0) into 0 4.804 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.804 * [taylor]: Taking taylor expansion of 1 in y 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify (* 1 1) into 1 4.805 * [backup-simplify]: Simplify (* -1 1) into -1 4.805 * [backup-simplify]: Simplify -1 into -1 4.806 * [backup-simplify]: Simplify (- 0) into 0 4.806 * [backup-simplify]: Simplify (+ 0 0) into 0 4.806 * [backup-simplify]: Simplify (+ 0 0) into 0 4.807 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.807 * [taylor]: Taking taylor expansion of 0 in y 4.807 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.809 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify (- 0) into 0 4.810 * [backup-simplify]: Simplify (+ 0 0) into 0 4.810 * [backup-simplify]: Simplify (+ 0 0) into 0 4.812 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 4.812 * [taylor]: Taking taylor expansion of 0 in y 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 4.812 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 4.812 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 4.812 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.813 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.813 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.813 * [taylor]: Taking taylor expansion of x in y 4.813 * [backup-simplify]: Simplify x into x 4.813 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.813 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.813 * [taylor]: Taking taylor expansion of y in y 4.813 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify 1 into 1 4.813 * [backup-simplify]: Simplify (/ 1 1) into 1 4.813 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.813 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.813 * [taylor]: Taking taylor expansion of y in y 4.813 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (/ 1 1) into 1 4.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.814 * [taylor]: Taking taylor expansion of x in y 4.814 * [backup-simplify]: Simplify x into x 4.814 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.814 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.814 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.814 * [taylor]: Taking taylor expansion of x in x 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (/ 1 1) into 1 4.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.814 * [taylor]: Taking taylor expansion of y in x 4.814 * [backup-simplify]: Simplify y into y 4.814 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.815 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.815 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.815 * [taylor]: Taking taylor expansion of y in x 4.815 * [backup-simplify]: Simplify y into y 4.815 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.815 * [taylor]: Taking taylor expansion of x in x 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify 1 into 1 4.815 * [backup-simplify]: Simplify (/ 1 1) into 1 4.815 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.815 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.816 * [taylor]: Taking taylor expansion of x in x 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 1 into 1 4.816 * [backup-simplify]: Simplify (/ 1 1) into 1 4.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.816 * [taylor]: Taking taylor expansion of y in x 4.816 * [backup-simplify]: Simplify y into y 4.816 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.816 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.816 * [taylor]: Taking taylor expansion of y in x 4.816 * [backup-simplify]: Simplify y into y 4.816 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.816 * [taylor]: Taking taylor expansion of x in x 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (/ 1 1) into 1 4.817 * [backup-simplify]: Simplify (+ 1 0) into 1 4.818 * [backup-simplify]: Simplify (+ 0 1) into 1 4.818 * [backup-simplify]: Simplify (* 1 1) into 1 4.818 * [taylor]: Taking taylor expansion of 1 in y 4.818 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.820 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.820 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.820 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 4.820 * [taylor]: Taking taylor expansion of 0 in y 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (+ 0 0) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.823 * [backup-simplify]: Simplify (- 0) into 0 4.823 * [backup-simplify]: Simplify (+ 0 0) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 4.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.824 * [taylor]: Taking taylor expansion of y in y 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (* 1 1) into 1 4.825 * [backup-simplify]: Simplify (/ 1 1) into 1 4.826 * [backup-simplify]: Simplify (- 1) into -1 4.826 * [backup-simplify]: Simplify -1 into -1 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.827 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.829 * [backup-simplify]: Simplify (- 0) into 0 4.829 * [backup-simplify]: Simplify (+ 0 0) into 0 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.830 * [taylor]: Taking taylor expansion of 0 in y 4.830 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.832 * [backup-simplify]: Simplify (- 0) into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.834 * [backup-simplify]: Simplify (+ 0 0) into 0 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.835 * [backup-simplify]: Simplify (- 0) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 4.837 * [taylor]: Taking taylor expansion of 0 in y 4.837 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (- 0) into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 4.840 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 4.840 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 4.840 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 4.840 * [taylor]: Taking taylor expansion of -1 in y 4.840 * [backup-simplify]: Simplify -1 into -1 4.840 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.840 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.840 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.840 * [taylor]: Taking taylor expansion of y in y 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (/ 1 1) into 1 4.841 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.841 * [taylor]: Taking taylor expansion of x in y 4.841 * [backup-simplify]: Simplify x into x 4.841 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.841 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.841 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.841 * [taylor]: Taking taylor expansion of y in y 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (/ 1 1) into 1 4.841 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.841 * [taylor]: Taking taylor expansion of x in y 4.841 * [backup-simplify]: Simplify x into x 4.842 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.842 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 4.842 * [taylor]: Taking taylor expansion of -1 in x 4.842 * [backup-simplify]: Simplify -1 into -1 4.842 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.842 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.842 * [taylor]: Taking taylor expansion of y in x 4.842 * [backup-simplify]: Simplify y into y 4.842 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.842 * [taylor]: Taking taylor expansion of x in x 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [backup-simplify]: Simplify (/ 1 1) into 1 4.842 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.842 * [taylor]: Taking taylor expansion of y in x 4.842 * [backup-simplify]: Simplify y into y 4.842 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [backup-simplify]: Simplify (/ 1 1) into 1 4.843 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 4.843 * [taylor]: Taking taylor expansion of -1 in x 4.843 * [backup-simplify]: Simplify -1 into -1 4.843 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.843 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.843 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.843 * [taylor]: Taking taylor expansion of y in x 4.843 * [backup-simplify]: Simplify y into y 4.843 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.844 * [backup-simplify]: Simplify (/ 1 1) into 1 4.844 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.844 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.844 * [taylor]: Taking taylor expansion of y in x 4.844 * [backup-simplify]: Simplify y into y 4.844 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.844 * [taylor]: Taking taylor expansion of x in x 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 1 into 1 4.844 * [backup-simplify]: Simplify (/ 1 1) into 1 4.845 * [backup-simplify]: Simplify (+ 0 1) into 1 4.845 * [backup-simplify]: Simplify (- 1) into -1 4.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.846 * [backup-simplify]: Simplify (* 1 -1) into -1 4.846 * [backup-simplify]: Simplify (* -1 -1) into 1 4.847 * [taylor]: Taking taylor expansion of 1 in y 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (- 0) into 0 4.848 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.849 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.849 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 4.849 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.849 * [taylor]: Taking taylor expansion of 0 in y 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify (- 0) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.853 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 4.855 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 4.855 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.855 * [taylor]: Taking taylor expansion of y in y 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (* 1 1) into 1 4.855 * [backup-simplify]: Simplify (/ 1 1) into 1 4.856 * [backup-simplify]: Simplify (- 1) into -1 4.856 * [backup-simplify]: Simplify -1 into -1 4.856 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.857 * [backup-simplify]: Simplify (- 0) into 0 4.858 * [backup-simplify]: Simplify (+ 0 0) into 0 4.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.859 * [backup-simplify]: Simplify (+ 0 0) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 4.862 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 4.862 * [taylor]: Taking taylor expansion of 0 in y 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (- 0) into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (- 0) into 0 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (+ 0 0) into 0 4.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 4.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 4.870 * [taylor]: Taking taylor expansion of 0 in y 4.870 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (- 0) into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 4.873 * * * [progress]: simplifying candidates 4.874 * [simplify]: Simplifying: (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 4.876 * * [simplify]: Extracting # 0 : cost 0 4.876 * * [simplify]: Extracting # 1 : cost 0 4.876 * * [simplify]: Extracting # 2 : cost 0 4.876 * * [simplify]: Extracting # 3 : cost 0 4.876 * * [simplify]: Extracting # 4 : cost 0 4.876 * * [simplify]: Extracting # 5 : cost 0 4.876 * * [simplify]: Extracting # 6 : cost 0 4.876 * * [simplify]: iteration 0 : 70 enodes (cost 436 ) 4.892 * * [simplify]: Extracting # 0 : cost 0 4.892 * * [simplify]: Extracting # 1 : cost 0 4.892 * * [simplify]: Extracting # 2 : cost 0 4.893 * * [simplify]: Extracting # 3 : cost 0 4.893 * * [simplify]: Extracting # 4 : cost 0 4.893 * * [simplify]: iteration 1 : 192 enodes (cost 423 ) 4.995 * * [simplify]: Extracting # 0 : cost 0 4.996 * * [simplify]: Extracting # 1 : cost 0 4.997 * * [simplify]: Extracting # 2 : cost 0 4.998 * * [simplify]: Extracting # 3 : cost 0 4.999 * * [simplify]: Extracting # 4 : cost 0 4.999 * * [simplify]: iteration 2 : 840 enodes (cost 395 ) 6.162 * * [simplify]: Extracting # 0 : cost 0 6.172 * * [simplify]: Extracting # 1 : cost 0 6.179 * * [simplify]: Extracting # 2 : cost 0 6.183 * * [simplify]: Extracting # 3 : cost 0 6.190 * * [simplify]: Extracting # 4 : cost 0 6.194 * * [simplify]: iteration 3 : 3985 enodes (cost 395 ) 7.868 * * [simplify]: Extracting # 0 : cost 0 7.879 * * [simplify]: Extracting # 1 : cost 0 7.886 * * [simplify]: Extracting # 2 : cost 0 7.890 * * [simplify]: Extracting # 3 : cost 0 7.895 * * [simplify]: Extracting # 4 : cost 0 7.899 * * [simplify]: iteration done: 5001 enodes (cost 395 ) 7.900 * [simplify]: Simplified to: (- (pow x 2) (pow y 2)) (log (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (pow (- (pow x 2) (pow y 2)) 3) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (- (pow x 2) (pow y 2)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (* x x)) (+ (* y (+ x y)) (* x x))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* y (- y x)) (* x x)) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (+ (* y (+ x y)) (* x x)) (- x y)) (* (- x y) (* (+ x y) (- (* x x) (* y y)))) (- (pow x 2) (pow y 2)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (+ x y) (* (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (- x y) (+ (pow x 3) (pow y 3))) (* (- (pow x 2) (pow y 2)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 7.900 * * * [progress]: adding candidates to table 7.997 * * [progress]: iteration 2 / 4 7.997 * * * [progress]: picking best candidate 8.000 * * * * [pick]: Picked # 8.000 * * * [progress]: localizing error 8.014 * * * [progress]: generating rewritten candidates 8.014 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 8.039 * * * [progress]: generating series expansions 8.039 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 8.040 * [backup-simplify]: Simplify (- (pow x 2) (pow y 2)) into (- (pow x 2) (pow y 2)) 8.040 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 8.040 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 8.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.040 * [taylor]: Taking taylor expansion of x in y 8.040 * [backup-simplify]: Simplify x into x 8.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.040 * [taylor]: Taking taylor expansion of y in y 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.040 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.040 * [taylor]: Taking taylor expansion of x in x 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.040 * [taylor]: Taking taylor expansion of y in x 8.040 * [backup-simplify]: Simplify y into y 8.040 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.040 * [taylor]: Taking taylor expansion of x in x 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.040 * [taylor]: Taking taylor expansion of y in x 8.040 * [backup-simplify]: Simplify y into y 8.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.040 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.040 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.040 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 8.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.040 * [taylor]: Taking taylor expansion of y in y 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.041 * [backup-simplify]: Simplify (- 0) into 0 8.041 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [taylor]: Taking taylor expansion of 0 in y 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify (* 1 1) into 1 8.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.042 * [backup-simplify]: Simplify (- 0) into 0 8.043 * [backup-simplify]: Simplify (+ 1 0) into 1 8.043 * [taylor]: Taking taylor expansion of 1 in y 8.043 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify (* 1 1) into 1 8.044 * [backup-simplify]: Simplify (- 1) into -1 8.044 * [backup-simplify]: Simplify -1 into -1 8.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.045 * [backup-simplify]: Simplify (- 0) into 0 8.045 * [backup-simplify]: Simplify (+ 0 0) into 0 8.045 * [taylor]: Taking taylor expansion of 0 in y 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.046 * [backup-simplify]: Simplify (- 0) into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.048 * [backup-simplify]: Simplify (- 0) into 0 8.048 * [backup-simplify]: Simplify (+ 0 0) into 0 8.048 * [taylor]: Taking taylor expansion of 0 in y 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 8.049 * [backup-simplify]: Simplify (- (pow (/ 1 x) 2) (pow (/ 1 y) 2)) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.049 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.049 * [taylor]: Taking taylor expansion of x in y 8.049 * [backup-simplify]: Simplify x into x 8.049 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.049 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.049 * [taylor]: Taking taylor expansion of y in y 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [backup-simplify]: Simplify (* 1 1) into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.050 * [taylor]: Taking taylor expansion of x in x 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (* 1 1) into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.050 * [taylor]: Taking taylor expansion of y in x 8.050 * [backup-simplify]: Simplify y into y 8.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.050 * [taylor]: Taking taylor expansion of x in x 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.051 * [backup-simplify]: Simplify (* 1 1) into 1 8.051 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.051 * [taylor]: Taking taylor expansion of y in x 8.051 * [backup-simplify]: Simplify y into y 8.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.051 * [backup-simplify]: Simplify (+ 1 0) into 1 8.052 * [taylor]: Taking taylor expansion of 1 in y 8.052 * [backup-simplify]: Simplify 1 into 1 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (+ 0 0) into 0 8.053 * [taylor]: Taking taylor expansion of 0 in y 8.053 * [backup-simplify]: Simplify 0 into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.054 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.054 * [taylor]: Taking taylor expansion of y in y 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 1 into 1 8.054 * [backup-simplify]: Simplify (* 1 1) into 1 8.055 * [backup-simplify]: Simplify (/ 1 1) into 1 8.055 * [backup-simplify]: Simplify (- 1) into -1 8.055 * [backup-simplify]: Simplify -1 into -1 8.055 * [backup-simplify]: Simplify 1 into 1 8.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.057 * [backup-simplify]: Simplify (- 0) into 0 8.057 * [backup-simplify]: Simplify (+ 0 0) into 0 8.057 * [taylor]: Taking taylor expansion of 0 in y 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (- 0) into 0 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.061 * [backup-simplify]: Simplify (+ 0 0) into 0 8.061 * [taylor]: Taking taylor expansion of 0 in y 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify (- 0) into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 8.063 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 2) (pow (/ 1 (- y)) 2)) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.063 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.063 * [taylor]: Taking taylor expansion of x in y 8.063 * [backup-simplify]: Simplify x into x 8.063 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.063 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.063 * [taylor]: Taking taylor expansion of y in y 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 1 into 1 8.063 * [backup-simplify]: Simplify (* 1 1) into 1 8.064 * [backup-simplify]: Simplify (/ 1 1) into 1 8.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.064 * [taylor]: Taking taylor expansion of x in x 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [backup-simplify]: Simplify (* 1 1) into 1 8.064 * [backup-simplify]: Simplify (/ 1 1) into 1 8.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.064 * [taylor]: Taking taylor expansion of y in x 8.064 * [backup-simplify]: Simplify y into y 8.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.064 * [taylor]: Taking taylor expansion of x in x 8.064 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.065 * [backup-simplify]: Simplify (* 1 1) into 1 8.065 * [backup-simplify]: Simplify (/ 1 1) into 1 8.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.065 * [taylor]: Taking taylor expansion of y in x 8.065 * [backup-simplify]: Simplify y into y 8.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.066 * [backup-simplify]: Simplify (+ 1 0) into 1 8.066 * [taylor]: Taking taylor expansion of 1 in y 8.066 * [backup-simplify]: Simplify 1 into 1 8.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.067 * [backup-simplify]: Simplify (+ 0 0) into 0 8.067 * [taylor]: Taking taylor expansion of 0 in y 8.067 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.068 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.068 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.068 * [taylor]: Taking taylor expansion of y in y 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (* 1 1) into 1 8.069 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [backup-simplify]: Simplify (- 1) into -1 8.069 * [backup-simplify]: Simplify -1 into -1 8.069 * [backup-simplify]: Simplify 1 into 1 8.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.071 * [backup-simplify]: Simplify (- 0) into 0 8.071 * [backup-simplify]: Simplify (+ 0 0) into 0 8.071 * [taylor]: Taking taylor expansion of 0 in y 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.072 * [backup-simplify]: Simplify (- 0) into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.074 * [backup-simplify]: Simplify (- 0) into 0 8.075 * [backup-simplify]: Simplify (+ 0 0) into 0 8.075 * [taylor]: Taking taylor expansion of 0 in y 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (- 0) into 0 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 8.076 * * * [progress]: simplifying candidates 8.077 * [simplify]: Simplifying: (/ (exp (pow x 2)) (exp (pow y 2))) (log (- (pow x 2) (pow y 2))) (exp (- (pow x 2) (pow y 2))) (* (cbrt (- (pow x 2) (pow y 2))) (cbrt (- (pow x 2) (pow y 2)))) (cbrt (- (pow x 2) (pow y 2))) (* (* (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2))) (- (pow x 2) (pow y 2))) (sqrt (- (pow x 2) (pow y 2))) (sqrt (- (pow x 2) (pow y 2))) (- (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (+ (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (pow y 2)) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow (sqrt x) 2) (pow (sqrt y) 2)) (- (pow (sqrt x) 2) (pow (sqrt y) 2)) (+ (pow (sqrt x) 2) y) (- (pow (sqrt x) 2) y) (+ (pow (sqrt x) 2) (sqrt (pow y 2))) (- (pow (sqrt x) 2) (sqrt (pow y 2))) (+ (pow (sqrt x) 2) (pow y (/ 2 2))) (- (pow (sqrt x) 2) (pow y (/ 2 2))) (+ x (pow (sqrt y) 2)) (- x (pow (sqrt y) 2)) (+ x y) (- x y) (+ x (sqrt (pow y 2))) (- x (sqrt (pow y 2))) (+ x (pow y (/ 2 2))) (- x (pow y (/ 2 2))) (+ (sqrt (pow x 2)) (pow (sqrt y) 2)) (- (sqrt (pow x 2)) (pow (sqrt y) 2)) (+ (sqrt (pow x 2)) y) (- (sqrt (pow x 2)) y) (+ (sqrt (pow x 2)) (sqrt (pow y 2))) (- (sqrt (pow x 2)) (sqrt (pow y 2))) (+ (sqrt (pow x 2)) (pow y (/ 2 2))) (- (sqrt (pow x 2)) (pow y (/ 2 2))) (+ (pow x (/ 2 2)) (pow (sqrt y) 2)) (- (pow x (/ 2 2)) (pow (sqrt y) 2)) (+ (pow x (/ 2 2)) y) (- (pow x (/ 2 2)) y) (+ (pow x (/ 2 2)) (sqrt (pow y 2))) (- (pow x (/ 2 2)) (sqrt (pow y 2))) (+ (pow x (/ 2 2)) (pow y (/ 2 2))) (- (pow x (/ 2 2)) (pow y (/ 2 2))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 8.078 * * [simplify]: Extracting # 0 : cost 0 8.078 * * [simplify]: Extracting # 1 : cost 0 8.078 * * [simplify]: Extracting # 2 : cost 0 8.078 * * [simplify]: Extracting # 3 : cost 0 8.078 * * [simplify]: Extracting # 4 : cost 0 8.078 * * [simplify]: Extracting # 5 : cost 0 8.078 * * [simplify]: Extracting # 6 : cost 0 8.078 * * [simplify]: iteration 0 : 69 enodes (cost 444 ) 8.104 * * [simplify]: Extracting # 0 : cost 0 8.104 * * [simplify]: Extracting # 1 : cost 0 8.105 * * [simplify]: Extracting # 2 : cost 0 8.105 * * [simplify]: Extracting # 3 : cost 0 8.105 * * [simplify]: Extracting # 4 : cost 0 8.106 * * [simplify]: iteration 1 : 150 enodes (cost 395 ) 8.184 * * [simplify]: Extracting # 0 : cost 0 8.184 * * [simplify]: Extracting # 1 : cost 0 8.184 * * [simplify]: Extracting # 2 : cost 0 8.185 * * [simplify]: Extracting # 3 : cost 0 8.185 * * [simplify]: Extracting # 4 : cost 0 8.185 * * [simplify]: iteration 2 : 293 enodes (cost 269 ) 8.276 * * [simplify]: Extracting # 0 : cost 0 8.277 * * [simplify]: Extracting # 1 : cost 0 8.278 * * [simplify]: Extracting # 2 : cost 0 8.279 * * [simplify]: Extracting # 3 : cost 0 8.280 * * [simplify]: Extracting # 4 : cost 0 8.280 * * [simplify]: iteration 3 : 807 enodes (cost 265 ) 9.230 * * [simplify]: Extracting # 0 : cost 0 9.241 * * [simplify]: Extracting # 1 : cost 0 9.248 * * [simplify]: Extracting # 2 : cost 0 9.253 * * [simplify]: Extracting # 3 : cost 0 9.258 * * [simplify]: Extracting # 4 : cost 0 9.267 * * [simplify]: iteration 4 : 4488 enodes (cost 265 ) 12.178 * * [simplify]: Extracting # 0 : cost 0 12.189 * * [simplify]: Extracting # 1 : cost 0 12.200 * * [simplify]: Extracting # 2 : cost 0 12.210 * * [simplify]: Extracting # 3 : cost 0 12.221 * * [simplify]: iteration done: 5001 enodes (cost 265 ) 12.221 * [simplify]: Simplified to: (exp (- (pow x 2) (pow y 2))) (log (- (pow x 2) (pow y 2))) (exp (- (pow x 2) (pow y 2))) (* (cbrt (- (pow x 2) (pow y 2))) (cbrt (- (pow x 2) (pow y 2)))) (cbrt (- (pow x 2) (pow y 2))) (pow (- (pow x 2) (pow y 2)) 3) (sqrt (- (pow x 2) (pow y 2))) (sqrt (- (pow x 2) (pow y 2))) (- (pow x 6) (pow y 6)) (+ (pow x 4) (* (pow y 2) (+ (pow x 2) (pow y 2)))) (- (pow y 2)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (pow y 2)) (+ y x) (- x y) (+ y x) (- x y) (+ (fabs y) x) (- x (fabs y)) (+ y x) (- x y) (+ y x) (- x y) (+ y x) (- x y) (+ (fabs y) x) (- x (fabs y)) (+ y x) (- x y) (+ y (fabs x)) (- (fabs x) y) (+ y (fabs x)) (- (fabs x) y) (+ (fabs x) (fabs y)) (- (fabs x) (fabs y)) (+ y (fabs x)) (- (fabs x) y) (+ y x) (- x y) (+ y x) (- x y) (+ (fabs y) x) (- x (fabs y)) (+ y x) (- x y) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 12.222 * * * [progress]: adding candidates to table 12.276 * [progress]: [Phase 3 of 3] Extracting. 12.276 * * [regime]: Finding splitpoints for: (# #) 12.276 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 12.276 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 12.297 * * * * [regimes]: Trying to branch on y from (# #) 12.311 * * * * [regimes]: Trying to branch on x from (# #) 12.322 * * * [regime]: Found split indices: #