65.252 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (* (+ x y) (- x y)) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: Extracting # 3 : cost 0 0.031 * * [simplify]: Extracting # 4 : cost 0 0.031 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: Extracting # 1 : cost 0 0.032 * * [simplify]: Extracting # 2 : cost 0 0.032 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: Extracting # 1 : cost 0 0.043 * * [simplify]: Extracting # 2 : cost 0 0.043 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.068 * * [simplify]: Extracting # 0 : cost 0 0.068 * * [simplify]: Extracting # 1 : cost 0 0.068 * * [simplify]: Extracting # 2 : cost 0 0.068 * * [simplify]: iteration 4 : 126 enodes (cost 7 ) 0.107 * * [simplify]: Extracting # 0 : cost 0 0.107 * * [simplify]: Extracting # 1 : cost 0 0.107 * * [simplify]: Extracting # 2 : cost 0 0.108 * * [simplify]: iteration 5 : 258 enodes (cost 7 ) 0.201 * * [simplify]: Extracting # 0 : cost 0 0.202 * * [simplify]: Extracting # 1 : cost 0 0.202 * * [simplify]: Extracting # 2 : cost 0 0.202 * * [simplify]: Extracting # 3 : cost 0 0.202 * * [simplify]: iteration 6 : 509 enodes (cost 7 ) 0.312 * * [simplify]: Extracting # 0 : cost 0 0.312 * * [simplify]: Extracting # 1 : cost 0 0.313 * * [simplify]: Extracting # 2 : cost 0 0.313 * * [simplify]: Extracting # 3 : cost 0 0.313 * * [simplify]: Extracting # 4 : cost 0 0.313 * * [simplify]: iteration 7 : 684 enodes (cost 7 ) 0.579 * * [simplify]: Extracting # 0 : cost 0 0.582 * * [simplify]: Extracting # 1 : cost 0 0.584 * * [simplify]: Extracting # 2 : cost 0 0.587 * * [simplify]: Extracting # 3 : cost 0 0.589 * * [simplify]: iteration 8 : 2688 enodes (cost 7 ) 2.611 * * [simplify]: Extracting # 0 : cost 0 2.672 * * [simplify]: Extracting # 1 : cost 0 2.680 * * [simplify]: Extracting # 2 : cost 0 2.688 * * [simplify]: Extracting # 3 : cost 0 2.697 * * [simplify]: Extracting # 4 : cost 0 2.705 * * [simplify]: iteration done: 5000 enodes (cost 7 ) 2.705 * [simplify]: Simplified to: (- (* x x) (* y y)) 2.712 * * [progress]: iteration 1 / 4 2.712 * * * [progress]: picking best candidate 2.721 * * * * [pick]: Picked # 2.721 * * * [progress]: localizing error 2.737 * * * [progress]: generating rewritten candidates 2.737 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.792 * * * [progress]: generating series expansions 2.792 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.792 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 2.792 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 2.792 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.792 * [taylor]: Taking taylor expansion of (+ x y) in y 2.792 * [taylor]: Taking taylor expansion of x in y 2.792 * [backup-simplify]: Simplify x into x 2.792 * [taylor]: Taking taylor expansion of y in y 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [taylor]: Taking taylor expansion of (- x y) in y 2.792 * [taylor]: Taking taylor expansion of x in y 2.792 * [backup-simplify]: Simplify x into x 2.792 * [taylor]: Taking taylor expansion of y in y 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.792 * [taylor]: Taking taylor expansion of (+ x y) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [taylor]: Taking taylor expansion of y in x 2.792 * [backup-simplify]: Simplify y into y 2.792 * [taylor]: Taking taylor expansion of (- x y) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [taylor]: Taking taylor expansion of y in x 2.792 * [backup-simplify]: Simplify y into y 2.792 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.792 * [taylor]: Taking taylor expansion of (+ x y) in x 2.792 * [taylor]: Taking taylor expansion of x in x 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [taylor]: Taking taylor expansion of y in x 2.793 * [backup-simplify]: Simplify y into y 2.793 * [taylor]: Taking taylor expansion of (- x y) in x 2.793 * [taylor]: Taking taylor expansion of x in x 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [taylor]: Taking taylor expansion of y in x 2.793 * [backup-simplify]: Simplify y into y 2.793 * [backup-simplify]: Simplify (+ 0 y) into y 2.793 * [backup-simplify]: Simplify (- y) into (- y) 2.793 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.793 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.793 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 2.793 * [taylor]: Taking taylor expansion of -1 in y 2.793 * [backup-simplify]: Simplify -1 into -1 2.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.793 * [taylor]: Taking taylor expansion of y in y 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 1 0) into 1 2.795 * [backup-simplify]: Simplify (+ 1 0) into 1 2.795 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 2.795 * [taylor]: Taking taylor expansion of 0 in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (- 0) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 2.797 * [taylor]: Taking taylor expansion of 1 in y 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (* 1 1) into 1 2.798 * [backup-simplify]: Simplify (* -1 1) into -1 2.798 * [backup-simplify]: Simplify -1 into -1 2.798 * [backup-simplify]: Simplify (- 0) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.799 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 2.800 * [taylor]: Taking taylor expansion of 0 in y 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.801 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (- 0) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 2.804 * [taylor]: Taking taylor expansion of 0 in y 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 2.804 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 2.804 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 2.805 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.805 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.805 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.805 * [taylor]: Taking taylor expansion of x in y 2.805 * [backup-simplify]: Simplify x into x 2.805 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.805 * [taylor]: Taking taylor expansion of y in y 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.805 * [taylor]: Taking taylor expansion of y in y 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.806 * [taylor]: Taking taylor expansion of x in y 2.806 * [backup-simplify]: Simplify x into x 2.806 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.806 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.806 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.806 * [taylor]: Taking taylor expansion of y in x 2.807 * [backup-simplify]: Simplify y into y 2.807 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.807 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.807 * [taylor]: Taking taylor expansion of y in x 2.807 * [backup-simplify]: Simplify y into y 2.807 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.807 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.808 * [taylor]: Taking taylor expansion of y in x 2.808 * [backup-simplify]: Simplify y into y 2.808 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.808 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.808 * [taylor]: Taking taylor expansion of y in x 2.808 * [backup-simplify]: Simplify y into y 2.808 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [backup-simplify]: Simplify (+ 1 0) into 1 2.810 * [backup-simplify]: Simplify (+ 0 1) into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [taylor]: Taking taylor expansion of 1 in y 2.810 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.812 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.812 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 2.812 * [taylor]: Taking taylor expansion of 0 in y 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.814 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) 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 (pow y 2)) in y 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 (* 1 1) into 1 2.816 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [backup-simplify]: Simplify (- 1) into -1 2.816 * [backup-simplify]: Simplify -1 into -1 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 2.819 * [taylor]: Taking taylor expansion of 0 in y 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.822 * [backup-simplify]: Simplify (- 0) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 2.823 * [taylor]: Taking taylor expansion of 0 in y 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (- 0) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 2.825 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 2.825 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 2.825 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 2.825 * [taylor]: Taking taylor expansion of -1 in y 2.825 * [backup-simplify]: Simplify -1 into -1 2.825 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.825 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.825 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.825 * [taylor]: Taking taylor expansion of y in y 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.825 * [taylor]: Taking taylor expansion of x in y 2.825 * [backup-simplify]: Simplify x into x 2.825 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.825 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.825 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.825 * [taylor]: Taking taylor expansion of y in y 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.826 * [taylor]: Taking taylor expansion of x in y 2.826 * [backup-simplify]: Simplify x into x 2.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.826 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 2.826 * [taylor]: Taking taylor expansion of -1 in x 2.826 * [backup-simplify]: Simplify -1 into -1 2.826 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.826 * [taylor]: Taking taylor expansion of y in x 2.826 * [backup-simplify]: Simplify y into y 2.826 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.826 * [taylor]: Taking taylor expansion of x in x 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.826 * [taylor]: Taking taylor expansion of y in x 2.826 * [backup-simplify]: Simplify y into y 2.826 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.826 * [taylor]: Taking taylor expansion of x in x 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 2.826 * [taylor]: Taking taylor expansion of -1 in x 2.827 * [backup-simplify]: Simplify -1 into -1 2.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.827 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.827 * [taylor]: Taking taylor expansion of y in x 2.827 * [backup-simplify]: Simplify y into y 2.827 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.827 * [taylor]: Taking taylor expansion of x in x 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.827 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.827 * [taylor]: Taking taylor expansion of y in x 2.827 * [backup-simplify]: Simplify y into y 2.827 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.827 * [taylor]: Taking taylor expansion of x in x 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [backup-simplify]: Simplify (+ 0 1) into 1 2.828 * [backup-simplify]: Simplify (- 1) into -1 2.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.828 * [backup-simplify]: Simplify (* 1 -1) into -1 2.829 * [backup-simplify]: Simplify (* -1 -1) into 1 2.829 * [taylor]: Taking taylor expansion of 1 in y 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (- 0) into 0 2.830 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.830 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 2.831 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.831 * [taylor]: Taking taylor expansion of 0 in y 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (- 0) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 2.834 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 2.834 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.834 * [taylor]: Taking taylor expansion of y in y 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [backup-simplify]: Simplify (- 1) into -1 2.835 * [backup-simplify]: Simplify -1 into -1 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (- 0) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 2.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 2.838 * [taylor]: Taking taylor expansion of 0 in y 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (- 0) into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (- 0) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 2.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 2.843 * [taylor]: Taking taylor expansion of 0 in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (- 0) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 2.845 * * * [progress]: simplifying candidates 2.845 * [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)) 2.847 * * [simplify]: Extracting # 0 : cost 0 2.847 * * [simplify]: Extracting # 1 : cost 0 2.847 * * [simplify]: Extracting # 2 : cost 0 2.847 * * [simplify]: Extracting # 3 : cost 0 2.848 * * [simplify]: Extracting # 4 : cost 0 2.848 * * [simplify]: Extracting # 5 : cost 0 2.848 * * [simplify]: Extracting # 6 : cost 0 2.848 * * [simplify]: iteration 0 : 70 enodes (cost 436 ) 2.884 * * [simplify]: Extracting # 0 : cost 0 2.884 * * [simplify]: Extracting # 1 : cost 0 2.885 * * [simplify]: Extracting # 2 : cost 0 2.885 * * [simplify]: Extracting # 3 : cost 0 2.885 * * [simplify]: Extracting # 4 : cost 0 2.886 * * [simplify]: iteration 1 : 213 enodes (cost 423 ) 3.056 * * [simplify]: Extracting # 0 : cost 0 3.058 * * [simplify]: Extracting # 1 : cost 0 3.060 * * [simplify]: Extracting # 2 : cost 0 3.062 * * [simplify]: Extracting # 3 : cost 0 3.065 * * [simplify]: Extracting # 4 : cost 0 3.067 * * [simplify]: iteration 2 : 1542 enodes (cost 397 ) 3.661 * * [simplify]: Extracting # 0 : cost 0 3.678 * * [simplify]: Extracting # 1 : cost 0 3.693 * * [simplify]: Extracting # 2 : cost 0 3.707 * * [simplify]: Extracting # 3 : cost 0 3.721 * * [simplify]: Extracting # 4 : cost 0 3.733 * * [simplify]: iteration done: 5002 enodes (cost 395 ) 3.733 * [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)) 3.733 * * * [progress]: adding candidates to table 3.834 * * [progress]: iteration 2 / 4 3.834 * * * [progress]: picking best candidate 3.836 * * * * [pick]: Picked # 3.837 * * * [progress]: localizing error 3.843 * * * [progress]: generating rewritten candidates 3.843 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.855 * * * [progress]: generating series expansions 3.855 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.855 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 3.855 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 3.855 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 3.855 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.855 * [taylor]: Taking taylor expansion of x in y 3.855 * [backup-simplify]: Simplify x into x 3.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.855 * [taylor]: Taking taylor expansion of y in y 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 3.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.856 * [taylor]: Taking taylor expansion of y in x 3.856 * [backup-simplify]: Simplify y into y 3.856 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 3.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.856 * [taylor]: Taking taylor expansion of y in x 3.856 * [backup-simplify]: Simplify y into y 3.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.856 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 3.857 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 3.857 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 3.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.857 * [taylor]: Taking taylor expansion of y in y 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.858 * [backup-simplify]: Simplify (- 0) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [taylor]: Taking taylor expansion of 0 in y 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (* 1 1) into 1 3.859 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.860 * [backup-simplify]: Simplify (- 0) into 0 3.860 * [backup-simplify]: Simplify (+ 1 0) into 1 3.860 * [taylor]: Taking taylor expansion of 1 in y 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify (* 1 1) into 1 3.861 * [backup-simplify]: Simplify (- 1) into -1 3.861 * [backup-simplify]: Simplify -1 into -1 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.862 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.862 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [taylor]: Taking taylor expansion of 0 in y 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.863 * [backup-simplify]: Simplify (- 0) into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.864 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.865 * [backup-simplify]: Simplify (- 0) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [taylor]: Taking taylor expansion of 0 in y 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 3.865 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.865 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.865 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.866 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.866 * [taylor]: Taking taylor expansion of x in y 3.866 * [backup-simplify]: Simplify x into x 3.866 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.866 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.866 * [taylor]: Taking taylor expansion of y in y 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.867 * [taylor]: Taking taylor expansion of y in x 3.867 * [backup-simplify]: Simplify y into y 3.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.867 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.868 * [taylor]: Taking taylor expansion of y in x 3.868 * [backup-simplify]: Simplify y into y 3.868 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.868 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.868 * [backup-simplify]: Simplify (+ 1 0) into 1 3.868 * [taylor]: Taking taylor expansion of 1 in y 3.868 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [taylor]: Taking taylor expansion of 0 in y 3.869 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.871 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.871 * [taylor]: Taking taylor expansion of y in y 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (* 1 1) into 1 3.871 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [backup-simplify]: Simplify (- 1) into -1 3.872 * [backup-simplify]: Simplify -1 into -1 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.873 * [backup-simplify]: Simplify (- 0) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.874 * [taylor]: Taking taylor expansion of 0 in y 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.877 * [backup-simplify]: Simplify (- 0) into 0 3.877 * [backup-simplify]: Simplify (+ 0 0) into 0 3.878 * [taylor]: Taking taylor expansion of 0 in y 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (- 0) into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 3.879 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.879 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.879 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.880 * [taylor]: Taking taylor expansion of x in y 3.880 * [backup-simplify]: Simplify x into x 3.880 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.880 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.880 * [taylor]: Taking taylor expansion of y in y 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (* 1 1) into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.880 * [taylor]: Taking taylor expansion of x in x 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (* 1 1) into 1 3.881 * [backup-simplify]: Simplify (/ 1 1) into 1 3.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.881 * [taylor]: Taking taylor expansion of y in x 3.881 * [backup-simplify]: Simplify y into y 3.881 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.881 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.881 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.881 * [taylor]: Taking taylor expansion of x in x 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (* 1 1) into 1 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.882 * [taylor]: Taking taylor expansion of y in x 3.882 * [backup-simplify]: Simplify y into y 3.882 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.882 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.882 * [backup-simplify]: Simplify (+ 1 0) into 1 3.882 * [taylor]: Taking taylor expansion of 1 in y 3.882 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [taylor]: Taking taylor expansion of 0 in y 3.883 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.885 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 3.885 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.885 * [taylor]: Taking taylor expansion of y in y 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.886 * [backup-simplify]: Simplify (- 1) into -1 3.886 * [backup-simplify]: Simplify -1 into -1 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.887 * [backup-simplify]: Simplify (- 0) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [taylor]: Taking taylor expansion of 0 in y 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.891 * [backup-simplify]: Simplify (- 0) into 0 3.891 * [backup-simplify]: Simplify (+ 0 0) into 0 3.891 * [taylor]: Taking taylor expansion of 0 in y 3.891 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 3.894 * * * [progress]: simplifying candidates 3.894 * [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)) 3.894 * * [simplify]: Extracting # 0 : cost 0 3.894 * * [simplify]: Extracting # 1 : cost 0 3.894 * * [simplify]: Extracting # 2 : cost 0 3.894 * * [simplify]: Extracting # 3 : cost 0 3.894 * * [simplify]: Extracting # 4 : cost 0 3.894 * * [simplify]: Extracting # 5 : cost 0 3.895 * * [simplify]: iteration 0 : 33 enodes (cost 180 ) 3.902 * * [simplify]: Extracting # 0 : cost 0 3.902 * * [simplify]: Extracting # 1 : cost 0 3.903 * * [simplify]: Extracting # 2 : cost 0 3.903 * * [simplify]: Extracting # 3 : cost 0 3.903 * * [simplify]: Extracting # 4 : cost 0 3.903 * * [simplify]: iteration 1 : 111 enodes (cost 175 ) 3.982 * * [simplify]: Extracting # 0 : cost 0 3.983 * * [simplify]: Extracting # 1 : cost 0 3.984 * * [simplify]: Extracting # 2 : cost 0 3.984 * * [simplify]: Extracting # 3 : cost 0 3.985 * * [simplify]: Extracting # 4 : cost 0 3.986 * * [simplify]: iteration 2 : 583 enodes (cost 145 ) 5.098 * * [simplify]: Extracting # 0 : cost 0 5.109 * * [simplify]: Extracting # 1 : cost 0 5.122 * * [simplify]: Extracting # 2 : cost 0 5.136 * * [simplify]: Extracting # 3 : cost 0 5.148 * * [simplify]: Extracting # 4 : cost 0 5.159 * * [simplify]: iteration 3 : 4978 enodes (cost 145 ) 8.786 * * [simplify]: Extracting # 0 : cost 0 8.792 * * [simplify]: Extracting # 1 : cost 0 8.798 * * [simplify]: Extracting # 2 : cost 0 8.804 * * [simplify]: iteration done: 5000 enodes (cost 145 ) 8.804 * [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)) 8.804 * * * [progress]: adding candidates to table 8.874 * [progress]: [Phase 3 of 3] Extracting. 8.874 * * [regime]: Finding splitpoints for: (# #) 8.874 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 8.874 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 8.911 * * * * [regimes]: Trying to branch on y from (# #) 8.958 * * * * [regimes]: Trying to branch on x from (# #) 8.991 * * * [regime]: Found split indices: #