40.385 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying: (* (+ x y) (- x y)) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: Extracting # 3 : cost 0 0.042 * * [simplify]: Extracting # 4 : cost 0 0.042 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: Extracting # 1 : cost 0 0.051 * * [simplify]: Extracting # 2 : cost 0 0.051 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.064 * * [simplify]: Extracting # 2 : cost 0 0.064 * * [simplify]: iteration 4 : 126 enodes (cost 7 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.110 * * [simplify]: Extracting # 2 : cost 0 0.110 * * [simplify]: iteration 5 : 258 enodes (cost 7 ) 0.191 * * [simplify]: Extracting # 0 : cost 0 0.192 * * [simplify]: Extracting # 1 : cost 0 0.192 * * [simplify]: Extracting # 2 : cost 0 0.192 * * [simplify]: Extracting # 3 : cost 0 0.192 * * [simplify]: iteration 6 : 509 enodes (cost 7 ) 0.304 * * [simplify]: Extracting # 0 : cost 0 0.304 * * [simplify]: Extracting # 1 : cost 0 0.304 * * [simplify]: Extracting # 2 : cost 0 0.305 * * [simplify]: Extracting # 3 : cost 0 0.305 * * [simplify]: Extracting # 4 : cost 0 0.305 * * [simplify]: iteration 7 : 684 enodes (cost 7 ) 0.577 * * [simplify]: Extracting # 0 : cost 0 0.582 * * [simplify]: Extracting # 1 : cost 0 0.586 * * [simplify]: Extracting # 2 : cost 0 0.590 * * [simplify]: Extracting # 3 : cost 0 0.594 * * [simplify]: iteration 8 : 2688 enodes (cost 7 ) 2.640 * * [simplify]: Extracting # 0 : cost 0 2.716 * * [simplify]: Extracting # 1 : cost 0 2.722 * * [simplify]: Extracting # 2 : cost 0 2.727 * * [simplify]: Extracting # 3 : cost 0 2.730 * * [simplify]: Extracting # 4 : cost 0 2.734 * * [simplify]: iteration done: 5000 enodes (cost 7 ) 2.734 * [simplify]: Simplified to: (- (* x x) (* y y)) 2.736 * * [progress]: iteration 1 / 4 2.736 * * * [progress]: picking best candidate 2.738 * * * * [pick]: Picked # 2.738 * * * [progress]: localizing error 2.743 * * * [progress]: generating rewritten candidates 2.743 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.813 * * * [progress]: generating series expansions 2.813 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.813 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 2.813 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 2.813 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.813 * [taylor]: Taking taylor expansion of (+ x y) in y 2.813 * [taylor]: Taking taylor expansion of x in y 2.813 * [backup-simplify]: Simplify x into x 2.813 * [taylor]: Taking taylor expansion of y in y 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [taylor]: Taking taylor expansion of (- x y) in y 2.813 * [taylor]: Taking taylor expansion of x in y 2.813 * [backup-simplify]: Simplify x into x 2.814 * [taylor]: Taking taylor expansion of y in y 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.814 * [taylor]: Taking taylor expansion of (+ x y) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [taylor]: Taking taylor expansion of y in x 2.814 * [backup-simplify]: Simplify y into y 2.814 * [taylor]: Taking taylor expansion of (- x y) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [taylor]: Taking taylor expansion of y in x 2.814 * [backup-simplify]: Simplify y into y 2.814 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.814 * [taylor]: Taking taylor expansion of (+ x y) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [taylor]: Taking taylor expansion of y in x 2.814 * [backup-simplify]: Simplify y into y 2.814 * [taylor]: Taking taylor expansion of (- x y) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [taylor]: Taking taylor expansion of y in x 2.814 * [backup-simplify]: Simplify y into y 2.814 * [backup-simplify]: Simplify (+ 0 y) into y 2.814 * [backup-simplify]: Simplify (- y) into (- y) 2.815 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.815 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.815 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 2.815 * [taylor]: Taking taylor expansion of -1 in y 2.815 * [backup-simplify]: Simplify -1 into -1 2.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.815 * [taylor]: Taking taylor expansion of y in y 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify (+ 1 0) into 1 2.817 * [backup-simplify]: Simplify (+ 1 0) into 1 2.817 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 2.817 * [taylor]: Taking taylor expansion of 0 in y 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 2.819 * [taylor]: Taking taylor expansion of 1 in y 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (* -1 1) into -1 2.820 * [backup-simplify]: Simplify -1 into -1 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 2.822 * [taylor]: Taking taylor expansion of 0 in y 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (- 0) into 0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.826 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 2.826 * [taylor]: Taking taylor expansion of 0 in y 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 2.827 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 2.827 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 2.827 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.827 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.827 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.827 * [taylor]: Taking taylor expansion of x in y 2.827 * [backup-simplify]: Simplify x into x 2.827 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.827 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.827 * [taylor]: Taking taylor expansion of y in y 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.828 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.828 * [taylor]: Taking taylor expansion of y in y 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.828 * [taylor]: Taking taylor expansion of x in y 2.828 * [backup-simplify]: Simplify x into x 2.828 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.828 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.828 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.828 * [taylor]: Taking taylor expansion of x in x 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (/ 1 1) into 1 2.829 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.829 * [taylor]: Taking taylor expansion of y in x 2.829 * [backup-simplify]: Simplify y into y 2.829 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.829 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.829 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.829 * [taylor]: Taking taylor expansion of y in x 2.829 * [backup-simplify]: Simplify y into y 2.829 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.829 * [taylor]: Taking taylor expansion of x in x 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (/ 1 1) into 1 2.830 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.830 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.830 * [taylor]: Taking taylor expansion of x in x 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (/ 1 1) into 1 2.830 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.830 * [taylor]: Taking taylor expansion of y in x 2.830 * [backup-simplify]: Simplify y into y 2.830 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.830 * [taylor]: Taking taylor expansion of y in x 2.830 * [backup-simplify]: Simplify y into y 2.830 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (/ 1 1) into 1 2.831 * [backup-simplify]: Simplify (+ 1 0) into 1 2.832 * [backup-simplify]: Simplify (+ 0 1) into 1 2.832 * [backup-simplify]: Simplify (* 1 1) into 1 2.832 * [taylor]: Taking taylor expansion of 1 in y 2.832 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.834 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.834 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 2.834 * [taylor]: Taking taylor expansion of 0 in y 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.837 * [backup-simplify]: Simplify (- 0) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 2.838 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.838 * [taylor]: Taking taylor expansion of y in y 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [backup-simplify]: Simplify (- 1) into -1 2.839 * [backup-simplify]: Simplify -1 into -1 2.839 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.842 * [backup-simplify]: Simplify (- 0) into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 2.843 * [taylor]: Taking taylor expansion of 0 in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (- 0) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.848 * [backup-simplify]: Simplify (- 0) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 2.850 * [taylor]: Taking taylor expansion of 0 in y 2.850 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 2.854 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 2.854 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 2.854 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 2.854 * [taylor]: Taking taylor expansion of -1 in y 2.854 * [backup-simplify]: Simplify -1 into -1 2.854 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.854 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.854 * [taylor]: Taking taylor expansion of y in y 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (/ 1 1) into 1 2.854 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.854 * [taylor]: Taking taylor expansion of x in y 2.854 * [backup-simplify]: Simplify x into x 2.854 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.854 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.855 * [taylor]: Taking taylor expansion of y in y 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (/ 1 1) into 1 2.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.855 * [taylor]: Taking taylor expansion of x in y 2.855 * [backup-simplify]: Simplify x into x 2.855 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.855 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 2.855 * [taylor]: Taking taylor expansion of -1 in x 2.855 * [backup-simplify]: Simplify -1 into -1 2.855 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.855 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.855 * [taylor]: Taking taylor expansion of y in x 2.855 * [backup-simplify]: Simplify y into y 2.855 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.855 * [taylor]: Taking taylor expansion of x in x 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.856 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.856 * [taylor]: Taking taylor expansion of y in x 2.856 * [backup-simplify]: Simplify y into y 2.856 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.856 * [taylor]: Taking taylor expansion of x in x 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 2.857 * [taylor]: Taking taylor expansion of -1 in x 2.857 * [backup-simplify]: Simplify -1 into -1 2.857 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.857 * [taylor]: Taking taylor expansion of y in x 2.857 * [backup-simplify]: Simplify y into y 2.857 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.857 * [taylor]: Taking taylor expansion of x in x 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.858 * [taylor]: Taking taylor expansion of y in x 2.858 * [backup-simplify]: Simplify y into y 2.858 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [backup-simplify]: Simplify (+ 0 1) into 1 2.859 * [backup-simplify]: Simplify (- 1) into -1 2.859 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.860 * [backup-simplify]: Simplify (* 1 -1) into -1 2.860 * [backup-simplify]: Simplify (* -1 -1) into 1 2.860 * [taylor]: Taking taylor expansion of 1 in y 2.860 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.862 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 2.863 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.863 * [taylor]: Taking taylor expansion of 0 in y 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (+ 0 0) into 0 2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 2.868 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 2.868 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.868 * [taylor]: Taking taylor expansion of y in y 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.869 * [backup-simplify]: Simplify (* 1 1) into 1 2.869 * [backup-simplify]: Simplify (/ 1 1) into 1 2.869 * [backup-simplify]: Simplify (- 1) into -1 2.870 * [backup-simplify]: Simplify -1 into -1 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (- 0) into 0 2.871 * [backup-simplify]: Simplify (+ 0 0) into 0 2.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (+ 0 0) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 2.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 2.876 * [taylor]: Taking taylor expansion of 0 in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (- 0) into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 0) into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 2.883 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 2.883 * [taylor]: Taking taylor expansion of 0 in y 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (- 0) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 2.885 * * * [progress]: simplifying candidates 2.885 * [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)) 2.886 * * [simplify]: Extracting # 0 : cost 0 2.886 * * [simplify]: Extracting # 1 : cost 0 2.886 * * [simplify]: Extracting # 2 : cost 0 2.886 * * [simplify]: Extracting # 3 : cost 0 2.886 * * [simplify]: Extracting # 4 : cost 0 2.886 * * [simplify]: Extracting # 5 : cost 0 2.887 * * [simplify]: Extracting # 6 : cost 0 2.887 * * [simplify]: iteration 0 : 70 enodes (cost 436 ) 2.907 * * [simplify]: Extracting # 0 : cost 0 2.908 * * [simplify]: Extracting # 1 : cost 0 2.908 * * [simplify]: Extracting # 2 : cost 0 2.908 * * [simplify]: Extracting # 3 : cost 0 2.908 * * [simplify]: Extracting # 4 : cost 0 2.909 * * [simplify]: iteration 1 : 213 enodes (cost 423 ) 3.066 * * [simplify]: Extracting # 0 : cost 0 3.069 * * [simplify]: Extracting # 1 : cost 0 3.074 * * [simplify]: Extracting # 2 : cost 0 3.077 * * [simplify]: Extracting # 3 : cost 0 3.079 * * [simplify]: Extracting # 4 : cost 0 3.081 * * [simplify]: iteration 2 : 1542 enodes (cost 397 ) 3.777 * * [simplify]: Extracting # 0 : cost 0 3.793 * * [simplify]: Extracting # 1 : cost 0 3.802 * * [simplify]: Extracting # 2 : cost 0 3.817 * * [simplify]: Extracting # 3 : cost 0 3.832 * * [simplify]: Extracting # 4 : cost 0 3.847 * * [simplify]: iteration done: 5002 enodes (cost 395 ) 3.847 * [simplify]: Simplified to: (* (- x y) (+ x y)) (log (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (pow (- (* x x) (* y y)) 3) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (- (* x x) (* y y)) 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 x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- 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)) (+ y x) (* (+ (sqrt x) (sqrt y)) (+ x y)) (+ y x) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (+ y x) (* (- x y) (- x y))) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) 3.848 * * * [progress]: adding candidates to table 3.974 * * [progress]: iteration 2 / 4 3.974 * * * [progress]: picking best candidate 3.977 * * * * [pick]: Picked # 3.977 * * * [progress]: localizing error 3.987 * * * [progress]: generating rewritten candidates 3.987 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.004 * * * [progress]: generating series expansions 4.004 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.005 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 4.005 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 4.005 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 4.005 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.005 * [taylor]: Taking taylor expansion of x in y 4.005 * [backup-simplify]: Simplify x into x 4.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.005 * [taylor]: Taking taylor expansion of y in y 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 4.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.005 * [taylor]: Taking taylor expansion of x in x 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.005 * [taylor]: Taking taylor expansion of y in x 4.005 * [backup-simplify]: Simplify y into y 4.005 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 4.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.005 * [taylor]: Taking taylor expansion of x in x 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.005 * [taylor]: Taking taylor expansion of y in x 4.005 * [backup-simplify]: Simplify y into y 4.006 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.006 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 4.006 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 4.006 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 4.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.006 * [taylor]: Taking taylor expansion of y in y 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.007 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [taylor]: Taking taylor expansion of 0 in y 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (* 1 1) into 1 4.008 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.009 * [backup-simplify]: Simplify (- 0) into 0 4.009 * [backup-simplify]: Simplify (+ 1 0) into 1 4.009 * [taylor]: Taking taylor expansion of 1 in y 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (* 1 1) into 1 4.010 * [backup-simplify]: Simplify (- 1) into -1 4.010 * [backup-simplify]: Simplify -1 into -1 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.011 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.012 * [backup-simplify]: Simplify (- 0) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [taylor]: Taking taylor expansion of 0 in y 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.015 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.016 * [backup-simplify]: Simplify (- 0) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [taylor]: Taking taylor expansion of 0 in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 4.017 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.017 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.017 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.017 * [taylor]: Taking taylor expansion of x in y 4.017 * [backup-simplify]: Simplify x into x 4.017 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.017 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.017 * [taylor]: Taking taylor expansion of y in y 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.018 * [taylor]: Taking taylor expansion of x in x 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.019 * [taylor]: Taking taylor expansion of y in x 4.019 * [backup-simplify]: Simplify y into y 4.019 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.019 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.019 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.020 * [taylor]: Taking taylor expansion of x in x 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.020 * [backup-simplify]: Simplify (* 1 1) into 1 4.020 * [backup-simplify]: Simplify (/ 1 1) into 1 4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.020 * [taylor]: Taking taylor expansion of y in x 4.020 * [backup-simplify]: Simplify y into y 4.020 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.021 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.021 * [backup-simplify]: Simplify (+ 1 0) into 1 4.021 * [taylor]: Taking taylor expansion of 1 in y 4.021 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [taylor]: Taking taylor expansion of 0 in y 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.025 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.025 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.025 * [taylor]: Taking taylor expansion of y in y 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify (- 1) into -1 4.026 * [backup-simplify]: Simplify -1 into -1 4.026 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.029 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify (+ 0 0) into 0 4.030 * [taylor]: Taking taylor expansion of 0 in y 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (- 0) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.035 * [backup-simplify]: Simplify (+ 0 0) into 0 4.035 * [taylor]: Taking taylor expansion of 0 in y 4.035 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.037 * [backup-simplify]: Simplify (- 0) into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 4.038 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.038 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.039 * [taylor]: Taking taylor expansion of x in y 4.039 * [backup-simplify]: Simplify x into x 4.039 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.039 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.039 * [taylor]: Taking taylor expansion of y in y 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (* 1 1) into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.040 * [taylor]: Taking taylor expansion of x in x 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (* 1 1) into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.041 * [taylor]: Taking taylor expansion of y in x 4.041 * [backup-simplify]: Simplify y into y 4.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.041 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.041 * [taylor]: Taking taylor expansion of x in x 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.041 * [backup-simplify]: Simplify (* 1 1) into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.042 * [taylor]: Taking taylor expansion of y in x 4.042 * [backup-simplify]: Simplify y into y 4.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.043 * [backup-simplify]: Simplify (+ 1 0) into 1 4.043 * [taylor]: Taking taylor expansion of 1 in y 4.043 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [taylor]: Taking taylor expansion of 0 in y 4.045 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.047 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.048 * [taylor]: Taking taylor expansion of y in y 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (* 1 1) into 1 4.048 * [backup-simplify]: Simplify (/ 1 1) into 1 4.049 * [backup-simplify]: Simplify (- 1) into -1 4.049 * [backup-simplify]: Simplify -1 into -1 4.049 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.052 * [backup-simplify]: Simplify (- 0) into 0 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [taylor]: Taking taylor expansion of 0 in y 4.052 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.058 * [backup-simplify]: Simplify (- 0) into 0 4.058 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [taylor]: Taking taylor expansion of 0 in y 4.058 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (- 0) into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 4.061 * * * [progress]: simplifying candidates 4.062 * [simplify]: Simplifying: (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 4.062 * * [simplify]: Extracting # 0 : cost 0 4.063 * * [simplify]: Extracting # 1 : cost 0 4.063 * * [simplify]: Extracting # 2 : cost 0 4.063 * * [simplify]: Extracting # 3 : cost 0 4.063 * * [simplify]: Extracting # 4 : cost 0 4.063 * * [simplify]: Extracting # 5 : cost 0 4.063 * * [simplify]: iteration 0 : 33 enodes (cost 180 ) 4.072 * * [simplify]: Extracting # 0 : cost 0 4.072 * * [simplify]: Extracting # 1 : cost 0 4.072 * * [simplify]: Extracting # 2 : cost 0 4.072 * * [simplify]: Extracting # 3 : cost 0 4.072 * * [simplify]: Extracting # 4 : cost 0 4.072 * * [simplify]: iteration 1 : 111 enodes (cost 175 ) 4.138 * * [simplify]: Extracting # 0 : cost 0 4.138 * * [simplify]: Extracting # 1 : cost 0 4.139 * * [simplify]: Extracting # 2 : cost 0 4.140 * * [simplify]: Extracting # 3 : cost 0 4.140 * * [simplify]: Extracting # 4 : cost 0 4.141 * * [simplify]: iteration 2 : 583 enodes (cost 145 ) 5.350 * * [simplify]: Extracting # 0 : cost 0 5.361 * * [simplify]: Extracting # 1 : cost 0 5.374 * * [simplify]: Extracting # 2 : cost 0 5.381 * * [simplify]: Extracting # 3 : cost 0 5.390 * * [simplify]: Extracting # 4 : cost 0 5.396 * * [simplify]: iteration 3 : 4978 enodes (cost 145 ) 8.800 * * [simplify]: Extracting # 0 : cost 0 8.811 * * [simplify]: Extracting # 1 : cost 0 8.817 * * [simplify]: Extracting # 2 : cost 0 8.823 * * [simplify]: iteration done: 5000 enodes (cost 145 ) 8.823 * [simplify]: Simplified to: (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (* x x) (* y y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow x 6) (pow y 6)) (+ (* (* y y) (+ (* y y) (* x x))) (pow x 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (+ (* y y) (* x x)) (+ x y) (- x y) (- (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 8.823 * * * [progress]: adding candidates to table 8.846 * [progress]: [Phase 3 of 3] Extracting. 8.846 * * [regime]: Finding splitpoints for: (# #) 8.846 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 8.846 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 8.860 * * * * [regimes]: Trying to branch on y from (# #) 8.878 * * * * [regimes]: Trying to branch on x from (# #) 8.892 * * * [regime]: Found split indices: #