39.614 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (- (* x x) (* y y)) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 1 : 11 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 2 : 18 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 3 : 35 enodes (cost 7 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: Extracting # 1 : cost 0 0.054 * * [simplify]: Extracting # 2 : cost 0 0.054 * * [simplify]: iteration 4 : 67 enodes (cost 7 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.100 * * [simplify]: iteration 5 : 160 enodes (cost 7 ) 0.171 * * [simplify]: Extracting # 0 : cost 0 0.172 * * [simplify]: Extracting # 1 : cost 0 0.172 * * [simplify]: Extracting # 2 : cost 0 0.172 * * [simplify]: Extracting # 3 : cost 0 0.172 * * [simplify]: iteration 6 : 372 enodes (cost 7 ) 0.427 * * [simplify]: Extracting # 0 : cost 0 0.429 * * [simplify]: Extracting # 1 : cost 0 0.434 * * [simplify]: Extracting # 2 : cost 0 0.435 * * [simplify]: Extracting # 3 : cost 0 0.436 * * [simplify]: Extracting # 4 : cost 0 0.437 * * [simplify]: iteration 7 : 916 enodes (cost 7 ) 2.211 * * [simplify]: Extracting # 0 : cost 0 2.225 * * [simplify]: Extracting # 1 : cost 0 2.231 * * [simplify]: Extracting # 2 : cost 0 2.243 * * [simplify]: Extracting # 3 : cost 0 2.245 * * [simplify]: Extracting # 4 : cost 0 2.248 * * [simplify]: iteration 8 : 3785 enodes (cost 7 ) 4.640 * * [simplify]: Extracting # 0 : cost 0 4.654 * * [simplify]: Extracting # 1 : cost 0 4.660 * * [simplify]: iteration done: 5000 enodes (cost 7 ) 4.661 * [simplify]: Simplified to: (* (- x y) (+ x y)) 4.663 * * [progress]: iteration 1 / 4 4.663 * * * [progress]: picking best candidate 4.665 * * * * [pick]: Picked # 4.665 * * * [progress]: localizing error 4.670 * * * [progress]: generating rewritten candidates 4.670 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.709 * * * [progress]: generating series expansions 4.709 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.710 * [backup-simplify]: Simplify (* (- x y) (+ x y)) into (* (+ x y) (- x y)) 4.710 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 4.710 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.710 * [taylor]: Taking taylor expansion of (+ x y) in y 4.710 * [taylor]: Taking taylor expansion of x in y 4.710 * [backup-simplify]: Simplify x into x 4.710 * [taylor]: Taking taylor expansion of y in y 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [taylor]: Taking taylor expansion of (- x y) in y 4.710 * [taylor]: Taking taylor expansion of x in y 4.710 * [backup-simplify]: Simplify x into x 4.710 * [taylor]: Taking taylor expansion of y in y 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.710 * [taylor]: Taking taylor expansion of (+ x y) in x 4.710 * [taylor]: Taking taylor expansion of x in x 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [taylor]: Taking taylor expansion of y in x 4.711 * [backup-simplify]: Simplify y into y 4.711 * [taylor]: Taking taylor expansion of (- x y) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of y in x 4.711 * [backup-simplify]: Simplify y into y 4.711 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.711 * [taylor]: Taking taylor expansion of (+ x y) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of y in x 4.711 * [backup-simplify]: Simplify y into y 4.711 * [taylor]: Taking taylor expansion of (- x y) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of y in x 4.711 * [backup-simplify]: Simplify y into y 4.711 * [backup-simplify]: Simplify (+ 0 y) into y 4.711 * [backup-simplify]: Simplify (- y) into (- y) 4.711 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.711 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.711 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 4.711 * [taylor]: Taking taylor expansion of -1 in y 4.711 * [backup-simplify]: Simplify -1 into -1 4.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.711 * [taylor]: Taking taylor expansion of y in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.712 * [backup-simplify]: Simplify (+ 1 0) into 1 4.712 * [backup-simplify]: Simplify (+ 1 0) into 1 4.712 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.712 * [taylor]: Taking taylor expansion of 0 in y 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.713 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.713 * [taylor]: Taking taylor expansion of 1 in y 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (* 1 1) into 1 4.714 * [backup-simplify]: Simplify (* -1 1) into -1 4.714 * [backup-simplify]: Simplify -1 into -1 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.715 * [taylor]: Taking taylor expansion of 0 in y 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify (- 0) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 4.718 * [taylor]: Taking taylor expansion of 0 in y 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 4.718 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 4.718 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 4.718 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.718 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.718 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.718 * [taylor]: Taking taylor expansion of x in y 4.718 * [backup-simplify]: Simplify x into x 4.718 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.718 * [taylor]: Taking taylor expansion of y in y 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.719 * [taylor]: Taking taylor expansion of y in y 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.719 * [taylor]: Taking taylor expansion of x in y 4.719 * [backup-simplify]: Simplify x into x 4.719 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.719 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.719 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.719 * [taylor]: Taking taylor expansion of x in x 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.719 * [taylor]: Taking taylor expansion of y in x 4.719 * [backup-simplify]: Simplify y into y 4.719 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.719 * [taylor]: Taking taylor expansion of y in x 4.719 * [backup-simplify]: Simplify y into y 4.720 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.720 * [taylor]: Taking taylor expansion of x in x 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (/ 1 1) into 1 4.720 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.720 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.720 * [taylor]: Taking taylor expansion of x in x 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (/ 1 1) into 1 4.720 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.720 * [taylor]: Taking taylor expansion of y in x 4.720 * [backup-simplify]: Simplify y into y 4.720 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.720 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.720 * [taylor]: Taking taylor expansion of y in x 4.720 * [backup-simplify]: Simplify y into y 4.720 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.720 * [taylor]: Taking taylor expansion of x in x 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [backup-simplify]: Simplify (+ 1 0) into 1 4.721 * [backup-simplify]: Simplify (+ 0 1) into 1 4.721 * [backup-simplify]: Simplify (* 1 1) into 1 4.721 * [taylor]: Taking taylor expansion of 1 in y 4.721 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.723 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.723 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 4.723 * [taylor]: Taking taylor expansion of 0 in y 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (+ 0 0) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.724 * [backup-simplify]: Simplify (- 0) into 0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 4.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.725 * [taylor]: Taking taylor expansion of y in y 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.726 * [backup-simplify]: Simplify (* 1 1) into 1 4.726 * [backup-simplify]: Simplify (/ 1 1) into 1 4.726 * [backup-simplify]: Simplify (- 1) into -1 4.726 * [backup-simplify]: Simplify -1 into -1 4.726 * [backup-simplify]: Simplify 1 into 1 4.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.728 * [backup-simplify]: Simplify (- 0) into 0 4.728 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.729 * [taylor]: Taking taylor expansion of 0 in y 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.730 * [backup-simplify]: Simplify (- 0) into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.735 * [backup-simplify]: Simplify (- 0) into 0 4.736 * [backup-simplify]: Simplify (+ 0 0) into 0 4.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 4.736 * [taylor]: Taking taylor expansion of 0 in y 4.736 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (- 0) into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 4.738 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 4.738 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 4.738 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 4.738 * [taylor]: Taking taylor expansion of -1 in y 4.738 * [backup-simplify]: Simplify -1 into -1 4.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.738 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.739 * [taylor]: Taking taylor expansion of y in y 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.739 * [backup-simplify]: Simplify (/ 1 1) into 1 4.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.739 * [taylor]: Taking taylor expansion of x in y 4.739 * [backup-simplify]: Simplify x into x 4.739 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.739 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.739 * [taylor]: Taking taylor expansion of y in y 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify (/ 1 1) into 1 4.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.740 * [taylor]: Taking taylor expansion of x in y 4.740 * [backup-simplify]: Simplify x into x 4.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.740 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 4.740 * [taylor]: Taking taylor expansion of -1 in x 4.740 * [backup-simplify]: Simplify -1 into -1 4.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.740 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.740 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.740 * [taylor]: Taking taylor expansion of y in x 4.740 * [backup-simplify]: Simplify y into y 4.740 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.740 * [taylor]: Taking taylor expansion of x in x 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (/ 1 1) into 1 4.741 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.741 * [taylor]: Taking taylor expansion of y in x 4.741 * [backup-simplify]: Simplify y into y 4.741 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.741 * [taylor]: Taking taylor expansion of x in x 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (/ 1 1) into 1 4.741 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 4.741 * [taylor]: Taking taylor expansion of -1 in x 4.741 * [backup-simplify]: Simplify -1 into -1 4.741 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.742 * [taylor]: Taking taylor expansion of y in x 4.742 * [backup-simplify]: Simplify y into y 4.742 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.742 * [taylor]: Taking taylor expansion of y in x 4.742 * [backup-simplify]: Simplify y into y 4.742 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [backup-simplify]: Simplify (+ 0 1) into 1 4.744 * [backup-simplify]: Simplify (- 1) into -1 4.744 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.745 * [backup-simplify]: Simplify (* 1 -1) into -1 4.745 * [backup-simplify]: Simplify (* -1 -1) into 1 4.745 * [taylor]: Taking taylor expansion of 1 in y 4.745 * [backup-simplify]: Simplify 1 into 1 4.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (- 0) into 0 4.746 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.747 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.747 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 4.748 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.748 * [taylor]: Taking taylor expansion of 0 in y 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (- 0) into 0 4.750 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (+ 0 0) into 0 4.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 4.754 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 4.754 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.754 * [taylor]: Taking taylor expansion of y in y 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [backup-simplify]: Simplify (- 1) into -1 4.755 * [backup-simplify]: Simplify -1 into -1 4.755 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.757 * [backup-simplify]: Simplify (- 0) into 0 4.757 * [backup-simplify]: Simplify (+ 0 0) into 0 4.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 4.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 4.761 * [taylor]: Taking taylor expansion of 0 in y 4.761 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (- 0) into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.764 * [backup-simplify]: Simplify (- 0) into 0 4.764 * [backup-simplify]: Simplify (+ 0 0) into 0 4.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 4.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 4.766 * [taylor]: Taking taylor expansion of 0 in y 4.766 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.768 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 4.768 * * * [progress]: simplifying candidates 4.769 * [simplify]: Simplifying: (expm1 (* (- x y) (+ x y))) (log1p (* (- x y) (+ x y))) (* (- 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 (- x y)) (* y (- x y)) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (sqrt (+ x y))) (* (- x y) 1) (* (- x y) 1) (* (cbrt (- x y)) (+ x y)) (* (sqrt (- x y)) (+ x y)) (* (- x y) (+ x y)) (* (- (sqrt x) (sqrt y)) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ (pow x 3) (pow y 3))) (* (- x y) (- (* x x) (* y y))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 4.769 * * [simplify]: Extracting # 0 : cost 0 4.770 * * [simplify]: Extracting # 1 : cost 0 4.770 * * [simplify]: Extracting # 2 : cost 0 4.770 * * [simplify]: Extracting # 3 : cost 0 4.770 * * [simplify]: Extracting # 4 : cost 0 4.770 * * [simplify]: Extracting # 5 : cost 0 4.770 * * [simplify]: Extracting # 6 : cost 0 4.770 * * [simplify]: Extracting # 7 : cost 0 4.770 * * [simplify]: iteration 0 : 71 enodes (cost 428 ) 4.787 * * [simplify]: Extracting # 0 : cost 0 4.787 * * [simplify]: Extracting # 1 : cost 0 4.787 * * [simplify]: Extracting # 2 : cost 0 4.788 * * [simplify]: Extracting # 3 : cost 0 4.788 * * [simplify]: Extracting # 4 : cost 0 4.788 * * [simplify]: Extracting # 5 : cost 0 4.789 * * [simplify]: iteration 1 : 243 enodes (cost 411 ) 5.007 * * [simplify]: Extracting # 0 : cost 0 5.011 * * [simplify]: Extracting # 1 : cost 0 5.013 * * [simplify]: Extracting # 2 : cost 0 5.016 * * [simplify]: Extracting # 3 : cost 0 5.023 * * [simplify]: Extracting # 4 : cost 0 5.026 * * [simplify]: iteration 2 : 1739 enodes (cost 385 ) 6.066 * * [simplify]: Extracting # 0 : cost 0 6.077 * * [simplify]: Extracting # 1 : cost 0 6.099 * * [simplify]: Extracting # 2 : cost 0 6.107 * * [simplify]: Extracting # 3 : cost 0 6.115 * * [simplify]: Extracting # 4 : cost 0 6.122 * * [simplify]: iteration done: 5002 enodes (cost 383 ) 6.122 * [simplify]: Simplified to: (expm1 (* (- x y) (+ x y))) (log1p (* (- x y) (+ x y))) (* (+ x y) (- x y)) (log (* (- x y) (+ x y))) (log (* (- x y) (+ x y))) (exp (* (- x y) (+ x y))) (pow (* (+ x y) (- x y)) 3) (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (cbrt (* (- x y) (+ x y))) (pow (* (+ x y) (- x y)) 3) (sqrt (* (- x y) (+ x y))) (sqrt (* (- x y) (+ x y))) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma x x (* y (+ x y)))) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (- x y) (fma x x (* y (+ x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (+ x y) (fma x x (* y (- y x)))) (* (- x y) (* (+ x y) (* (- x y) (+ x y)))) (* (+ x y) (- x y)) (* (sqrt (- x y)) (sqrt (+ x y))) (* (sqrt (- x y)) (sqrt (+ x y))) (* (- x y) x) (* y (- x y)) (* (- x y) x) (* y (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (- x y)) (* (sqrt (+ x y)) (- x y)) (- x y) (- x y) (* (cbrt (- x y)) (+ x y)) (* (sqrt (- x y)) (+ x y)) (* (+ x y) (- x y)) (* (- (sqrt x) (sqrt y)) (+ x y)) (* (+ x y) (- x y)) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (* (- x y) (+ x y)) (- x y)) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (* (+ x y) (- x y)) (+ x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 6.123 * * * [progress]: adding candidates to table 6.191 * * [progress]: iteration 2 / 4 6.191 * * * [progress]: picking best candidate 6.192 * * * * [pick]: Picked # 6.192 * * * [progress]: localizing error 6.200 * * * [progress]: generating rewritten candidates 6.200 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.213 * * * [progress]: generating series expansions 6.213 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.214 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 6.214 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 6.214 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 6.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.214 * [taylor]: Taking taylor expansion of x in y 6.214 * [backup-simplify]: Simplify x into x 6.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.214 * [taylor]: Taking taylor expansion of y in y 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 6.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.214 * [taylor]: Taking taylor expansion of x in x 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.214 * [taylor]: Taking taylor expansion of y in x 6.214 * [backup-simplify]: Simplify y into y 6.214 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 6.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.214 * [taylor]: Taking taylor expansion of x in x 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.214 * [taylor]: Taking taylor expansion of y in x 6.214 * [backup-simplify]: Simplify y into y 6.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.215 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 6.215 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 6.215 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 6.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.215 * [taylor]: Taking taylor expansion of y in y 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.215 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.216 * [backup-simplify]: Simplify (- 0) into 0 6.216 * [backup-simplify]: Simplify (+ 0 0) into 0 6.216 * [taylor]: Taking taylor expansion of 0 in y 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify (* 1 1) into 1 6.217 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.217 * [backup-simplify]: Simplify (- 0) into 0 6.217 * [backup-simplify]: Simplify (+ 1 0) into 1 6.217 * [taylor]: Taking taylor expansion of 1 in y 6.217 * [backup-simplify]: Simplify 1 into 1 6.218 * [backup-simplify]: Simplify 1 into 1 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (* 1 1) into 1 6.218 * [backup-simplify]: Simplify (- 1) into -1 6.218 * [backup-simplify]: Simplify -1 into -1 6.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.219 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.220 * [backup-simplify]: Simplify (- 0) into 0 6.220 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [taylor]: Taking taylor expansion of 0 in y 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.221 * [backup-simplify]: Simplify (- 0) into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.223 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.223 * [backup-simplify]: Simplify (- 0) into 0 6.223 * [backup-simplify]: Simplify (+ 0 0) into 0 6.224 * [taylor]: Taking taylor expansion of 0 in y 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 6.224 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.224 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.224 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.224 * [taylor]: Taking taylor expansion of x in y 6.224 * [backup-simplify]: Simplify x into x 6.224 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.225 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.225 * [taylor]: Taking taylor expansion of y in y 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (* 1 1) into 1 6.225 * [backup-simplify]: Simplify (/ 1 1) into 1 6.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.226 * [taylor]: Taking taylor expansion of x in x 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (* 1 1) into 1 6.226 * [backup-simplify]: Simplify (/ 1 1) into 1 6.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.226 * [taylor]: Taking taylor expansion of y in x 6.226 * [backup-simplify]: Simplify y into y 6.226 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.227 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.227 * [taylor]: Taking taylor expansion of x in x 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.227 * [backup-simplify]: Simplify (* 1 1) into 1 6.227 * [backup-simplify]: Simplify (/ 1 1) into 1 6.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.228 * [taylor]: Taking taylor expansion of y in x 6.228 * [backup-simplify]: Simplify y into y 6.228 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.228 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.228 * [backup-simplify]: Simplify (+ 1 0) into 1 6.228 * [taylor]: Taking taylor expansion of 1 in y 6.228 * [backup-simplify]: Simplify 1 into 1 6.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ 0 0) into 0 6.230 * [taylor]: Taking taylor expansion of 0 in y 6.230 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.232 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.232 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 6.232 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.232 * [taylor]: Taking taylor expansion of y in y 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (* 1 1) into 1 6.233 * [backup-simplify]: Simplify (/ 1 1) into 1 6.233 * [backup-simplify]: Simplify (- 1) into -1 6.233 * [backup-simplify]: Simplify -1 into -1 6.233 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.235 * [backup-simplify]: Simplify (- 0) into 0 6.236 * [backup-simplify]: Simplify (+ 0 0) into 0 6.236 * [taylor]: Taking taylor expansion of 0 in y 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (- 0) into 0 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.240 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.240 * [backup-simplify]: Simplify (- 0) into 0 6.241 * [backup-simplify]: Simplify (+ 0 0) into 0 6.241 * [taylor]: Taking taylor expansion of 0 in y 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (- 0) into 0 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 6.243 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.243 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.244 * [taylor]: Taking taylor expansion of x in y 6.244 * [backup-simplify]: Simplify x into x 6.244 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.244 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.244 * [taylor]: Taking taylor expansion of y in y 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (* 1 1) into 1 6.245 * [backup-simplify]: Simplify (/ 1 1) into 1 6.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.245 * [taylor]: Taking taylor expansion of x in x 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (* 1 1) into 1 6.246 * [backup-simplify]: Simplify (/ 1 1) into 1 6.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.246 * [taylor]: Taking taylor expansion of y in x 6.246 * [backup-simplify]: Simplify y into y 6.246 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.246 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.246 * [taylor]: Taking taylor expansion of x in x 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [backup-simplify]: Simplify (* 1 1) into 1 6.247 * [backup-simplify]: Simplify (/ 1 1) into 1 6.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.247 * [taylor]: Taking taylor expansion of y in x 6.247 * [backup-simplify]: Simplify y into y 6.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.248 * [backup-simplify]: Simplify (+ 1 0) into 1 6.248 * [taylor]: Taking taylor expansion of 1 in y 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [taylor]: Taking taylor expansion of 0 in y 6.249 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.251 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.251 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 6.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.251 * [taylor]: Taking taylor expansion of y in y 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.252 * [backup-simplify]: Simplify (/ 1 1) into 1 6.252 * [backup-simplify]: Simplify (- 1) into -1 6.252 * [backup-simplify]: Simplify -1 into -1 6.253 * [backup-simplify]: Simplify 1 into 1 6.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.254 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.255 * [backup-simplify]: Simplify (- 0) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.255 * [taylor]: Taking taylor expansion of 0 in y 6.255 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.257 * [backup-simplify]: Simplify (- 0) into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.260 * [backup-simplify]: Simplify (- 0) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.261 * [taylor]: Taking taylor expansion of 0 in y 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (- 0) into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 6.263 * * * [progress]: simplifying candidates 6.264 * [simplify]: Simplifying: (fma x x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (/ (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)) 6.264 * * [simplify]: Extracting # 0 : cost 0 6.264 * * [simplify]: Extracting # 1 : cost 0 6.265 * * [simplify]: Extracting # 2 : cost 0 6.265 * * [simplify]: Extracting # 3 : cost 0 6.265 * * [simplify]: Extracting # 4 : cost 0 6.265 * * [simplify]: Extracting # 5 : cost 0 6.265 * * [simplify]: iteration 0 : 38 enodes (cost 214 ) 6.276 * * [simplify]: Extracting # 0 : cost 0 6.276 * * [simplify]: Extracting # 1 : cost 0 6.276 * * [simplify]: Extracting # 2 : cost 0 6.277 * * [simplify]: Extracting # 3 : cost 0 6.277 * * [simplify]: iteration 1 : 118 enodes (cost 207 ) 6.342 * * [simplify]: Extracting # 0 : cost 0 6.343 * * [simplify]: Extracting # 1 : cost 0 6.344 * * [simplify]: Extracting # 2 : cost 0 6.346 * * [simplify]: Extracting # 3 : cost 0 6.347 * * [simplify]: Extracting # 4 : cost 0 6.348 * * [simplify]: iteration 2 : 646 enodes (cost 175 ) 6.922 * * [simplify]: Extracting # 0 : cost 0 6.927 * * [simplify]: Extracting # 1 : cost 0 6.935 * * [simplify]: Extracting # 2 : cost 0 6.943 * * [simplify]: Extracting # 3 : cost 0 6.949 * * [simplify]: Extracting # 4 : cost 0 6.956 * * [simplify]: iteration done: 5000 enodes (cost 175 ) 6.956 * [simplify]: Simplified to: (- (* x x) (* y y)) (* y (+ (- y) y)) (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (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 (fma x x (- (* y y))) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow x 6) (pow y 6)) (fma (* y y) (fma x x (* y y)) (pow x 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (fma x x (* y y)) (+ x y) (- x y) (- (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 6.956 * * * [progress]: adding candidates to table 7.013 * [progress]: [Phase 3 of 3] Extracting. 7.013 * * [regime]: Finding splitpoints for: (# #) 7.013 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (- (* x x) (* y y)) y x) 7.013 * * * * [regimes]: Trying to branch on (* y y) from (# #) 7.023 * * * * [regimes]: Trying to branch on (* x x) from (# #) 7.039 * * * * [regimes]: Trying to branch on (- (* x x) (* y y)) from (# #) 7.056 * * * * [regimes]: Trying to branch on y from (# #) 7.067 * * * * [regimes]: Trying to branch on x from (# #) 7.078 * * * [regime]: Found split indices: #