17.055 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (exp (* (* x y) y)) 0.022 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.022 * * [simplify]: Extracting # 1 : cost 2 inf + 0 0.022 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.022 * * [simplify]: Extracting # 3 : cost 4 inf + 1 0.022 * * [simplify]: Extracting # 4 : cost 3 inf + 2 0.022 * * [simplify]: Extracting # 5 : cost 0 inf + 278 0.022 * * [simplify]: iteration 0 : 5 enodes (cost 152 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 inf + 278 0.023 * * [simplify]: Extracting # 1 : cost 2 inf + 278 0.024 * * [simplify]: Extracting # 2 : cost 0 inf + 431 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 152 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 inf + 431 0.025 * * [simplify]: Extracting # 1 : cost 3 inf + 431 0.025 * * [simplify]: Extracting # 2 : cost 2 inf + 573 0.026 * * [simplify]: Extracting # 3 : cost 3 inf + 573 0.026 * * [simplify]: Extracting # 4 : cost 2 inf + 574 0.026 * * [simplify]: Extracting # 5 : cost 1 inf + 616 0.026 * * [simplify]: Extracting # 6 : cost 0 inf + 979 0.026 * * [simplify]: iteration 2 : 20 enodes (cost 152 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 inf + 979 0.029 * * [simplify]: Extracting # 1 : cost 5 inf + 979 0.029 * * [simplify]: Extracting # 2 : cost 4 inf + 1495 0.029 * * [simplify]: Extracting # 3 : cost 1 inf + 1942 0.029 * * [simplify]: Extracting # 4 : cost 0 inf + 2345 0.030 * * [simplify]: iteration 3 : 34 enodes (cost 152 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 inf + 2345 0.038 * * [simplify]: Extracting # 1 : cost 13 inf + 2345 0.038 * * [simplify]: Extracting # 2 : cost 10 inf + 4584 0.039 * * [simplify]: Extracting # 3 : cost 2 inf + 6086 0.041 * * [simplify]: Extracting # 4 : cost 0 inf + 6853 0.042 * * [simplify]: iteration 4 : 69 enodes (cost 152 ) 0.055 * * [simplify]: Extracting # 0 : cost 0 inf + 6853 0.056 * * [simplify]: Extracting # 1 : cost 30 inf + 6694 0.057 * * [simplify]: Extracting # 2 : cost 12 inf + 14623 0.059 * * [simplify]: Extracting # 3 : cost 2 inf + 16534 0.061 * * [simplify]: Extracting # 4 : cost 0 inf + 17180 0.063 * * [simplify]: iteration 5 : 157 enodes (cost 152 ) 0.125 * * [simplify]: Extracting # 0 : cost 0 inf + 17180 0.127 * * [simplify]: Extracting # 1 : cost 62 inf + 15553 0.131 * * [simplify]: Extracting # 2 : cost 27 inf + 34414 0.137 * * [simplify]: Extracting # 3 : cost 5 inf + 37389 0.142 * * [simplify]: Extracting # 4 : cost 0 inf + 39006 0.147 * * [simplify]: Extracting # 5 : cost 0 inf + 38886 0.152 * * [simplify]: iteration 6 : 375 enodes (cost 152 ) 0.408 * * [simplify]: Extracting # 0 : cost 0 inf + 38886 0.426 * * [simplify]: Extracting # 1 : cost 274 inf + 37080 0.443 * * [simplify]: Extracting # 2 : cost 66 inf + 111871 0.474 * * [simplify]: Extracting # 3 : cost 8 inf + 118335 0.516 * * [simplify]: Extracting # 4 : cost 0 inf + 121472 0.541 * * [simplify]: Extracting # 5 : cost 0 inf + 121106 0.570 * * [simplify]: iteration 7 : 1460 enodes (cost 152 ) 1.760 * * [simplify]: Extracting # 0 : cost 0 inf + 121106 1.835 * * [simplify]: Extracting # 1 : cost 1288 inf + 115090 1.973 * * [simplify]: Extracting # 2 : cost 96 inf + 634611 2.168 * * [simplify]: Extracting # 3 : cost 26 inf + 647766 2.370 * * [simplify]: Extracting # 4 : cost 0 inf + 658513 2.585 * * [simplify]: iteration complete: 5002 enodes (cost 152 ) 2.585 * [simplify]: Simplified to: (exp (* (* x y) y)) 2.586 * * [progress]: iteration 1 / 4 2.586 * * * [progress]: picking best candidate 2.590 * * * * [pick]: Picked # 2.590 * * * [progress]: localizing error 2.598 * * * [progress]: generating rewritten candidates 2.598 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.611 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.618 * * * [progress]: generating series expansions 2.618 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.619 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 2.619 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 2.619 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.619 * [taylor]: Taking taylor expansion of x in y 2.619 * [backup-simplify]: Simplify x into x 2.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.619 * [taylor]: Taking taylor expansion of y in y 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.619 * [taylor]: Taking taylor expansion of y in x 2.619 * [backup-simplify]: Simplify y into y 2.619 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.619 * [taylor]: Taking taylor expansion of y in x 2.619 * [backup-simplify]: Simplify y into y 2.619 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.619 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.619 * [taylor]: Taking taylor expansion of 0 in y 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.620 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.620 * [taylor]: Taking taylor expansion of y in y 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [backup-simplify]: Simplify (* 1 1) into 1 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.621 * [taylor]: Taking taylor expansion of 0 in y 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.623 * [taylor]: Taking taylor expansion of 0 in y 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 2.623 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 2.623 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 2.623 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 2.623 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.623 * [taylor]: Taking taylor expansion of x in y 2.623 * [backup-simplify]: Simplify x into x 2.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.623 * [taylor]: Taking taylor expansion of y in y 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (* x 1) into x 2.624 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.624 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.624 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.624 * [taylor]: Taking taylor expansion of y in x 2.624 * [backup-simplify]: Simplify y into y 2.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.624 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.624 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.624 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.624 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.625 * [taylor]: Taking taylor expansion of y in x 2.625 * [backup-simplify]: Simplify y into y 2.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.625 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.625 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.625 * [taylor]: Taking taylor expansion of y in y 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify 1 into 1 2.625 * [backup-simplify]: Simplify (* 1 1) into 1 2.626 * [backup-simplify]: Simplify (/ 1 1) into 1 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.627 * [taylor]: Taking taylor expansion of 0 in y 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.629 * [taylor]: Taking taylor expansion of 0 in y 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.632 * [taylor]: Taking taylor expansion of 0 in y 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.634 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 2.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.639 * [taylor]: Taking taylor expansion of 0 in y 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 2.639 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 2.639 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 2.639 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 2.639 * [taylor]: Taking taylor expansion of -1 in y 2.639 * [backup-simplify]: Simplify -1 into -1 2.639 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.639 * [taylor]: Taking taylor expansion of x in y 2.639 * [backup-simplify]: Simplify x into x 2.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.639 * [taylor]: Taking taylor expansion of y in y 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 1 into 1 2.640 * [backup-simplify]: Simplify (* 1 1) into 1 2.640 * [backup-simplify]: Simplify (* x 1) into x 2.640 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.640 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.640 * [taylor]: Taking taylor expansion of -1 in x 2.640 * [backup-simplify]: Simplify -1 into -1 2.640 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.640 * [taylor]: Taking taylor expansion of x in x 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 1 into 1 2.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.640 * [taylor]: Taking taylor expansion of y in x 2.640 * [backup-simplify]: Simplify y into y 2.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.640 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.640 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.641 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.641 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.641 * [taylor]: Taking taylor expansion of -1 in x 2.641 * [backup-simplify]: Simplify -1 into -1 2.641 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 1 into 1 2.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.641 * [taylor]: Taking taylor expansion of y in x 2.641 * [backup-simplify]: Simplify y into y 2.641 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.642 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.642 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.642 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.642 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 2.642 * [taylor]: Taking taylor expansion of -1 in y 2.642 * [backup-simplify]: Simplify -1 into -1 2.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.642 * [taylor]: Taking taylor expansion of y in y 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (* 1 1) into 1 2.643 * [backup-simplify]: Simplify (/ -1 1) into -1 2.643 * [backup-simplify]: Simplify -1 into -1 2.644 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.645 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.645 * [taylor]: Taking taylor expansion of 0 in y 2.645 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.649 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.649 * [taylor]: Taking taylor expansion of 0 in y 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.655 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.655 * [taylor]: Taking taylor expansion of 0 in y 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 2.662 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.662 * [taylor]: Taking taylor expansion of 0 in y 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 2.663 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.663 * [backup-simplify]: Simplify (exp (* (* x y) y)) into (exp (* x (pow y 2))) 2.663 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 2.663 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 2.663 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.663 * [taylor]: Taking taylor expansion of x in y 2.663 * [backup-simplify]: Simplify x into x 2.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.663 * [taylor]: Taking taylor expansion of y in y 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (* x 1) into x 2.664 * [backup-simplify]: Simplify (exp 0) into 1 2.664 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 2.664 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.664 * [taylor]: Taking taylor expansion of y in x 2.664 * [backup-simplify]: Simplify y into y 2.664 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.664 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.664 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.665 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.665 * [backup-simplify]: Simplify (exp 0) into 1 2.665 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 2.665 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.665 * [taylor]: Taking taylor expansion of y in x 2.665 * [backup-simplify]: Simplify y into y 2.665 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.665 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.665 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.666 * [backup-simplify]: Simplify (exp 0) into 1 2.666 * [taylor]: Taking taylor expansion of 1 in y 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 2.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.666 * [taylor]: Taking taylor expansion of y in y 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.669 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 2.669 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 2.669 * [taylor]: Taking taylor expansion of 1/2 in y 2.669 * [backup-simplify]: Simplify 1/2 into 1/2 2.669 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.669 * [taylor]: Taking taylor expansion of y in y 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.673 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 2.673 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 2.673 * [taylor]: Taking taylor expansion of 1/6 in y 2.673 * [backup-simplify]: Simplify 1/6 into 1/6 2.673 * [taylor]: Taking taylor expansion of (pow y 6) in y 2.673 * [taylor]: Taking taylor expansion of y in y 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (* 1 1) into 1 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.678 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 2.678 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 2.678 * [taylor]: Taking taylor expansion of 1/24 in y 2.678 * [backup-simplify]: Simplify 1/24 into 1/24 2.678 * [taylor]: Taking taylor expansion of (pow y 8) in y 2.678 * [taylor]: Taking taylor expansion of y in y 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 2.684 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 2.684 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 2.684 * [taylor]: Taking taylor expansion of 1/120 in y 2.684 * [backup-simplify]: Simplify 1/120 into 1/120 2.684 * [taylor]: Taking taylor expansion of (pow y 10) in y 2.684 * [taylor]: Taking taylor expansion of y in y 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 2.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 2.694 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 2.694 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 2.694 * [taylor]: Taking taylor expansion of 1/720 in y 2.694 * [backup-simplify]: Simplify 1/720 into 1/720 2.694 * [taylor]: Taking taylor expansion of (pow y 12) in y 2.694 * [taylor]: Taking taylor expansion of y in y 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (* 1 1) into 1 2.695 * [backup-simplify]: Simplify (* 1 1) into 1 2.695 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.695 * [backup-simplify]: Simplify 1/2 into 1/2 2.696 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) 2.696 * [backup-simplify]: Simplify (exp (* (* (/ 1 x) (/ 1 y)) (/ 1 y))) into (exp (/ 1 (* x (pow y 2)))) 2.696 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 2.696 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 2.696 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 2.696 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.696 * [taylor]: Taking taylor expansion of x in y 2.696 * [backup-simplify]: Simplify x into x 2.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.696 * [taylor]: Taking taylor expansion of y in y 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (* 1 1) into 1 2.696 * [backup-simplify]: Simplify (* x 1) into x 2.696 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.696 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.696 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 2.696 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.696 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.696 * [taylor]: Taking taylor expansion of y in x 2.697 * [backup-simplify]: Simplify y into y 2.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.697 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.697 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.697 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.697 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.697 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.697 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 2.697 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.697 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.697 * [taylor]: Taking taylor expansion of x in x 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.697 * [taylor]: Taking taylor expansion of y in x 2.697 * [backup-simplify]: Simplify y into y 2.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.698 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.698 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.698 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.698 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.698 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.698 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 2.698 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 2.698 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.698 * [taylor]: Taking taylor expansion of x in y 2.698 * [backup-simplify]: Simplify x into x 2.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.698 * [taylor]: Taking taylor expansion of y in y 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.699 * [backup-simplify]: Simplify (* x 1) into x 2.699 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.699 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.699 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.699 * [taylor]: Taking taylor expansion of 0 in y 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [taylor]: Taking taylor expansion of 0 in y 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [taylor]: Taking taylor expansion of 0 in y 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 2.699 * [backup-simplify]: Simplify (exp (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (exp (/ -1 (* x (pow y 2)))) 2.699 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 2.699 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 2.699 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 2.699 * [taylor]: Taking taylor expansion of -1 in y 2.700 * [backup-simplify]: Simplify -1 into -1 2.700 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.700 * [taylor]: Taking taylor expansion of x in y 2.700 * [backup-simplify]: Simplify x into x 2.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.700 * [taylor]: Taking taylor expansion of y in y 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (* x 1) into x 2.700 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.700 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.700 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 2.700 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.700 * [taylor]: Taking taylor expansion of -1 in x 2.700 * [backup-simplify]: Simplify -1 into -1 2.700 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.700 * [taylor]: Taking taylor expansion of y in x 2.700 * [backup-simplify]: Simplify y into y 2.700 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.700 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.700 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.701 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.701 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.701 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 2.701 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.701 * [taylor]: Taking taylor expansion of -1 in x 2.701 * [backup-simplify]: Simplify -1 into -1 2.701 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.701 * [taylor]: Taking taylor expansion of x in x 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.701 * [taylor]: Taking taylor expansion of y in x 2.701 * [backup-simplify]: Simplify y into y 2.701 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.701 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.701 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.702 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.702 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.702 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.702 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 2.702 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 2.702 * [taylor]: Taking taylor expansion of -1 in y 2.702 * [backup-simplify]: Simplify -1 into -1 2.702 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.702 * [taylor]: Taking taylor expansion of x in y 2.702 * [backup-simplify]: Simplify x into x 2.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.702 * [taylor]: Taking taylor expansion of y in y 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (* 1 1) into 1 2.702 * [backup-simplify]: Simplify (* x 1) into x 2.702 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.702 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.703 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.703 * [taylor]: Taking taylor expansion of 0 in y 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [taylor]: Taking taylor expansion of 0 in y 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [taylor]: Taking taylor expansion of 0 in y 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 2.703 * * * [progress]: simplifying candidates 2.703 * [simplify]: Simplifying: (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 2.704 * * [simplify]: Extracting # 0 : cost 25 inf + 0 2.704 * * [simplify]: Extracting # 1 : cost 42 inf + 0 2.704 * * [simplify]: Extracting # 2 : cost 45 inf + 74 2.704 * * [simplify]: Extracting # 3 : cost 17 inf + 4411 2.705 * * [simplify]: Extracting # 4 : cost 6 inf + 6595 2.705 * * [simplify]: Extracting # 5 : cost 3 inf + 7050 2.706 * * [simplify]: Extracting # 6 : cost 2 inf + 7514 2.706 * * [simplify]: Extracting # 7 : cost 0 inf + 8855 2.707 * * [simplify]: iteration 0 : 53 enodes (cost 6531 ) 2.725 * * [simplify]: Extracting # 0 : cost 0 inf + 8855 2.727 * * [simplify]: Extracting # 1 : cost 27 inf + 7982 2.730 * * [simplify]: Extracting # 2 : cost 0 inf + 11335 2.733 * * [simplify]: Extracting # 3 : cost 0 inf + 9971 2.736 * * [simplify]: iteration 1 : 138 enodes (cost 4883 ) 2.818 * * [simplify]: Extracting # 0 : cost 0 inf + 9971 2.822 * * [simplify]: Extracting # 1 : cost 111 inf + 9388 2.837 * * [simplify]: Extracting # 2 : cost 4 inf + 22976 2.848 * * [simplify]: Extracting # 3 : cost 1 inf + 23343 2.859 * * [simplify]: Extracting # 4 : cost 0 inf + 23506 2.870 * * [simplify]: iteration 2 : 473 enodes (cost 4763 ) 3.515 * * [simplify]: Extracting # 0 : cost 0 inf + 23506 3.533 * * [simplify]: Extracting # 1 : cost 482 inf + 22081 3.591 * * [simplify]: Extracting # 2 : cost 18 inf + 73606 3.668 * * [simplify]: Extracting # 3 : cost 4 inf + 75188 3.723 * * [simplify]: Extracting # 4 : cost 0 inf + 76378 3.796 * * [simplify]: iteration 3 : 2030 enodes (cost 4683 ) 5.633 * * [simplify]: Extracting # 0 : cost 0 inf + 76378 5.735 * * [simplify]: Extracting # 1 : cost 1198 inf + 71978 5.954 * * [simplify]: Extracting # 2 : cost 49 inf + 238154 6.190 * * [simplify]: Extracting # 3 : cost 31 inf + 241704 6.366 * * [simplify]: Extracting # 4 : cost 4 inf + 247102 6.571 * * [simplify]: Extracting # 5 : cost 0 inf + 248114 6.826 * * [simplify]: iteration complete: 5000 enodes (cost 4604 ) 6.826 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y y) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (exp (* (* (* x y) y) 3)) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (+ 1 (* x (+ (* (* 1/2 (* (* y y) (* y y))) x) (* y y)))) (exp (* (* x y) y)) (exp (* (* x y) y)) 6.827 * * * [progress]: adding candidates to table 6.923 * * [progress]: iteration 2 / 4 6.923 * * * [progress]: picking best candidate 6.930 * * * * [pick]: Picked # 6.930 * * * [progress]: localizing error 6.961 * * * [progress]: generating rewritten candidates 6.961 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.987 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 7.013 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 7.044 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.059 * * * [progress]: generating series expansions 7.059 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.059 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 7.059 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 7.059 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.059 * [taylor]: Taking taylor expansion of x in y 7.059 * [backup-simplify]: Simplify x into x 7.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.059 * [taylor]: Taking taylor expansion of y in y 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.059 * [taylor]: Taking taylor expansion of x in x 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.059 * [taylor]: Taking taylor expansion of y in x 7.059 * [backup-simplify]: Simplify y into y 7.059 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.059 * [taylor]: Taking taylor expansion of x in x 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.059 * [taylor]: Taking taylor expansion of y in x 7.059 * [backup-simplify]: Simplify y into y 7.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.060 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.060 * [taylor]: Taking taylor expansion of 0 in y 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.061 * [taylor]: Taking taylor expansion of y in y 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (* 1 1) into 1 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.063 * [taylor]: Taking taylor expansion of 0 in y 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.066 * [taylor]: Taking taylor expansion of 0 in y 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 7.066 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 7.066 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 7.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.066 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.066 * [taylor]: Taking taylor expansion of x in y 7.066 * [backup-simplify]: Simplify x into x 7.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.066 * [taylor]: Taking taylor expansion of y in y 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (* 1 1) into 1 7.067 * [backup-simplify]: Simplify (* x 1) into x 7.067 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.067 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.067 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.067 * [taylor]: Taking taylor expansion of x in x 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.067 * [taylor]: Taking taylor expansion of y in x 7.067 * [backup-simplify]: Simplify y into y 7.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.067 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.067 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.068 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.068 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.068 * [taylor]: Taking taylor expansion of x in x 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.068 * [taylor]: Taking taylor expansion of y in x 7.068 * [backup-simplify]: Simplify y into y 7.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.069 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.069 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.069 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.069 * [taylor]: Taking taylor expansion of y in y 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (* 1 1) into 1 7.070 * [backup-simplify]: Simplify (/ 1 1) into 1 7.070 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.072 * [taylor]: Taking taylor expansion of 0 in y 7.072 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.073 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.076 * [taylor]: Taking taylor expansion of 0 in y 7.076 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.080 * [taylor]: Taking taylor expansion of 0 in y 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.084 * [taylor]: Taking taylor expansion of 0 in y 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 7.084 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 7.084 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 7.084 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.084 * [taylor]: Taking taylor expansion of -1 in y 7.084 * [backup-simplify]: Simplify -1 into -1 7.084 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.084 * [taylor]: Taking taylor expansion of x in y 7.084 * [backup-simplify]: Simplify x into x 7.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.084 * [taylor]: Taking taylor expansion of y in y 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 1 into 1 7.084 * [backup-simplify]: Simplify (* 1 1) into 1 7.084 * [backup-simplify]: Simplify (* x 1) into x 7.084 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.084 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.084 * [taylor]: Taking taylor expansion of -1 in x 7.084 * [backup-simplify]: Simplify -1 into -1 7.085 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.085 * [taylor]: Taking taylor expansion of x in x 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.085 * [taylor]: Taking taylor expansion of y in x 7.085 * [backup-simplify]: Simplify y into y 7.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.085 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.085 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.085 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.085 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.085 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.085 * [taylor]: Taking taylor expansion of -1 in x 7.085 * [backup-simplify]: Simplify -1 into -1 7.085 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.085 * [taylor]: Taking taylor expansion of x in x 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.085 * [taylor]: Taking taylor expansion of y in x 7.085 * [backup-simplify]: Simplify y into y 7.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.085 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.086 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.086 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.086 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 7.086 * [taylor]: Taking taylor expansion of -1 in y 7.086 * [backup-simplify]: Simplify -1 into -1 7.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.086 * [taylor]: Taking taylor expansion of y in y 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify 1 into 1 7.086 * [backup-simplify]: Simplify (* 1 1) into 1 7.087 * [backup-simplify]: Simplify (/ -1 1) into -1 7.087 * [backup-simplify]: Simplify -1 into -1 7.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.088 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.088 * [taylor]: Taking taylor expansion of 0 in y 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.090 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.090 * [taylor]: Taking taylor expansion of 0 in y 7.090 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.091 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.093 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.093 * [taylor]: Taking taylor expansion of 0 in y 7.093 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.095 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.097 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.097 * [taylor]: Taking taylor expansion of 0 in y 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 7.097 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 7.098 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 7.098 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 7.098 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.098 * [taylor]: Taking taylor expansion of x in y 7.098 * [backup-simplify]: Simplify x into x 7.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.098 * [taylor]: Taking taylor expansion of y in y 7.098 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify 1 into 1 7.098 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.098 * [taylor]: Taking taylor expansion of x in x 7.098 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify 1 into 1 7.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.098 * [taylor]: Taking taylor expansion of y in x 7.098 * [backup-simplify]: Simplify y into y 7.098 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.098 * [taylor]: Taking taylor expansion of x in x 7.098 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify 1 into 1 7.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.098 * [taylor]: Taking taylor expansion of y in x 7.098 * [backup-simplify]: Simplify y into y 7.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.098 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.098 * [taylor]: Taking taylor expansion of 0 in y 7.098 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.099 * [taylor]: Taking taylor expansion of y in y 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify (* 1 1) into 1 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.100 * [taylor]: Taking taylor expansion of 0 in y 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.101 * [taylor]: Taking taylor expansion of 0 in y 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 7.102 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 7.102 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 7.102 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.102 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.102 * [taylor]: Taking taylor expansion of x in y 7.102 * [backup-simplify]: Simplify x into x 7.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.102 * [taylor]: Taking taylor expansion of y in y 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify 1 into 1 7.102 * [backup-simplify]: Simplify (* 1 1) into 1 7.102 * [backup-simplify]: Simplify (* x 1) into x 7.102 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.102 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.102 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.102 * [taylor]: Taking taylor expansion of x in x 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify 1 into 1 7.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.102 * [taylor]: Taking taylor expansion of y in x 7.102 * [backup-simplify]: Simplify y into y 7.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.102 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.103 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.103 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.103 * [taylor]: Taking taylor expansion of x in x 7.103 * [backup-simplify]: Simplify 0 into 0 7.103 * [backup-simplify]: Simplify 1 into 1 7.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.103 * [taylor]: Taking taylor expansion of y in x 7.103 * [backup-simplify]: Simplify y into y 7.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.103 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.104 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.104 * [taylor]: Taking taylor expansion of y in y 7.104 * [backup-simplify]: Simplify 0 into 0 7.104 * [backup-simplify]: Simplify 1 into 1 7.104 * [backup-simplify]: Simplify (* 1 1) into 1 7.104 * [backup-simplify]: Simplify (/ 1 1) into 1 7.104 * [backup-simplify]: Simplify 1 into 1 7.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.106 * [taylor]: Taking taylor expansion of 0 in y 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.106 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.108 * [taylor]: Taking taylor expansion of 0 in y 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.111 * [taylor]: Taking taylor expansion of 0 in y 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.115 * [taylor]: Taking taylor expansion of 0 in y 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 7.115 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 7.115 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 7.115 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.115 * [taylor]: Taking taylor expansion of -1 in y 7.115 * [backup-simplify]: Simplify -1 into -1 7.115 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.115 * [taylor]: Taking taylor expansion of x in y 7.115 * [backup-simplify]: Simplify x into x 7.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.115 * [taylor]: Taking taylor expansion of y in y 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.116 * [backup-simplify]: Simplify (* 1 1) into 1 7.116 * [backup-simplify]: Simplify (* x 1) into x 7.116 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.116 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.116 * [taylor]: Taking taylor expansion of -1 in x 7.116 * [backup-simplify]: Simplify -1 into -1 7.116 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.116 * [taylor]: Taking taylor expansion of x in x 7.116 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify 1 into 1 7.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.116 * [taylor]: Taking taylor expansion of y in x 7.116 * [backup-simplify]: Simplify y into y 7.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.116 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.116 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.116 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.116 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.116 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.116 * [taylor]: Taking taylor expansion of -1 in x 7.116 * [backup-simplify]: Simplify -1 into -1 7.116 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.116 * [taylor]: Taking taylor expansion of x in x 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.117 * [taylor]: Taking taylor expansion of y in x 7.117 * [backup-simplify]: Simplify y into y 7.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.117 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.117 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.117 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.117 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 7.117 * [taylor]: Taking taylor expansion of -1 in y 7.117 * [backup-simplify]: Simplify -1 into -1 7.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.117 * [taylor]: Taking taylor expansion of y in y 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 1 into 1 7.118 * [backup-simplify]: Simplify (* 1 1) into 1 7.118 * [backup-simplify]: Simplify (/ -1 1) into -1 7.118 * [backup-simplify]: Simplify -1 into -1 7.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.119 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.119 * [taylor]: Taking taylor expansion of 0 in y 7.119 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.122 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.122 * [taylor]: Taking taylor expansion of 0 in y 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.125 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.125 * [taylor]: Taking taylor expansion of 0 in y 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.126 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.131 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.131 * [taylor]: Taking taylor expansion of 0 in y 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 7.131 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 7.131 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 7.131 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 7.131 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.131 * [taylor]: Taking taylor expansion of x in y 7.131 * [backup-simplify]: Simplify x into x 7.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.131 * [taylor]: Taking taylor expansion of y in y 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.131 * [taylor]: Taking taylor expansion of y in x 7.131 * [backup-simplify]: Simplify y into y 7.131 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.131 * [taylor]: Taking taylor expansion of y in x 7.131 * [backup-simplify]: Simplify y into y 7.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.132 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.132 * [taylor]: Taking taylor expansion of 0 in y 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.132 * [taylor]: Taking taylor expansion of y in y 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.133 * [backup-simplify]: Simplify (* 1 1) into 1 7.133 * [backup-simplify]: Simplify 1 into 1 7.133 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.134 * [taylor]: Taking taylor expansion of 0 in y 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.137 * [taylor]: Taking taylor expansion of 0 in y 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 7.137 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 7.137 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 7.138 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.138 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.138 * [taylor]: Taking taylor expansion of x in y 7.138 * [backup-simplify]: Simplify x into x 7.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.138 * [taylor]: Taking taylor expansion of y in y 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify (* 1 1) into 1 7.138 * [backup-simplify]: Simplify (* x 1) into x 7.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.138 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.138 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.138 * [taylor]: Taking taylor expansion of x in x 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.138 * [taylor]: Taking taylor expansion of y in x 7.138 * [backup-simplify]: Simplify y into y 7.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.139 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.139 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.139 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.139 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.139 * [taylor]: Taking taylor expansion of x in x 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.140 * [taylor]: Taking taylor expansion of y in x 7.140 * [backup-simplify]: Simplify y into y 7.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.140 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.140 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.140 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.141 * [taylor]: Taking taylor expansion of y in y 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.142 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.143 * [taylor]: Taking taylor expansion of 0 in y 7.143 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.147 * [taylor]: Taking taylor expansion of 0 in y 7.147 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.149 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.153 * [taylor]: Taking taylor expansion of 0 in y 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.155 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.160 * [taylor]: Taking taylor expansion of 0 in y 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 7.160 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 7.160 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 7.160 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.160 * [taylor]: Taking taylor expansion of -1 in y 7.160 * [backup-simplify]: Simplify -1 into -1 7.160 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.160 * [taylor]: Taking taylor expansion of x in y 7.160 * [backup-simplify]: Simplify x into x 7.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.160 * [taylor]: Taking taylor expansion of y in y 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 1 into 1 7.161 * [backup-simplify]: Simplify (* 1 1) into 1 7.161 * [backup-simplify]: Simplify (* x 1) into x 7.161 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.161 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.161 * [taylor]: Taking taylor expansion of -1 in x 7.161 * [backup-simplify]: Simplify -1 into -1 7.161 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.161 * [taylor]: Taking taylor expansion of x in x 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.161 * [taylor]: Taking taylor expansion of y in x 7.161 * [backup-simplify]: Simplify y into y 7.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.161 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.162 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.162 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.162 * [taylor]: Taking taylor expansion of -1 in x 7.162 * [backup-simplify]: Simplify -1 into -1 7.162 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.162 * [taylor]: Taking taylor expansion of x in x 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.162 * [taylor]: Taking taylor expansion of y in x 7.162 * [backup-simplify]: Simplify y into y 7.162 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.162 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.162 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.162 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 7.162 * [taylor]: Taking taylor expansion of -1 in y 7.162 * [backup-simplify]: Simplify -1 into -1 7.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.162 * [taylor]: Taking taylor expansion of y in y 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (* 1 1) into 1 7.163 * [backup-simplify]: Simplify (/ -1 1) into -1 7.163 * [backup-simplify]: Simplify -1 into -1 7.164 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.164 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.164 * [taylor]: Taking taylor expansion of 0 in y 7.164 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.167 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.167 * [taylor]: Taking taylor expansion of 0 in y 7.167 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.168 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.170 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.170 * [taylor]: Taking taylor expansion of 0 in y 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.173 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.174 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.174 * [taylor]: Taking taylor expansion of 0 in y 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 7.174 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.175 * [backup-simplify]: Simplify (exp (* (* x y) y)) into (exp (* x (pow y 2))) 7.175 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 7.175 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 7.175 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.175 * [taylor]: Taking taylor expansion of x in y 7.175 * [backup-simplify]: Simplify x into x 7.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.175 * [taylor]: Taking taylor expansion of y in y 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (* 1 1) into 1 7.175 * [backup-simplify]: Simplify (* x 1) into x 7.175 * [backup-simplify]: Simplify (exp 0) into 1 7.175 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 7.175 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.175 * [taylor]: Taking taylor expansion of x in x 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.175 * [taylor]: Taking taylor expansion of y in x 7.175 * [backup-simplify]: Simplify y into y 7.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.175 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.175 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.176 * [backup-simplify]: Simplify (exp 0) into 1 7.176 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 7.176 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.176 * [taylor]: Taking taylor expansion of x in x 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.176 * [taylor]: Taking taylor expansion of y in x 7.176 * [backup-simplify]: Simplify y into y 7.176 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.176 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.176 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.176 * [backup-simplify]: Simplify (exp 0) into 1 7.176 * [taylor]: Taking taylor expansion of 1 in y 7.176 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 7.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.177 * [taylor]: Taking taylor expansion of y in y 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.178 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 7.178 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 7.178 * [taylor]: Taking taylor expansion of 1/2 in y 7.178 * [backup-simplify]: Simplify 1/2 into 1/2 7.178 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.178 * [taylor]: Taking taylor expansion of y in y 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.181 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 7.181 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 7.181 * [taylor]: Taking taylor expansion of 1/6 in y 7.181 * [backup-simplify]: Simplify 1/6 into 1/6 7.181 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.181 * [taylor]: Taking taylor expansion of y in y 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (* 1 1) into 1 7.181 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.185 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 7.185 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 7.185 * [taylor]: Taking taylor expansion of 1/24 in y 7.185 * [backup-simplify]: Simplify 1/24 into 1/24 7.185 * [taylor]: Taking taylor expansion of (pow y 8) in y 7.185 * [taylor]: Taking taylor expansion of y in y 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.190 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 7.190 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 7.190 * [taylor]: Taking taylor expansion of 1/120 in y 7.190 * [backup-simplify]: Simplify 1/120 into 1/120 7.190 * [taylor]: Taking taylor expansion of (pow y 10) in y 7.190 * [taylor]: Taking taylor expansion of y in y 7.190 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify 1 into 1 7.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 7.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 7.198 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 7.198 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 7.198 * [taylor]: Taking taylor expansion of 1/720 in y 7.198 * [backup-simplify]: Simplify 1/720 into 1/720 7.198 * [taylor]: Taking taylor expansion of (pow y 12) in y 7.198 * [taylor]: Taking taylor expansion of y in y 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (* 1 1) into 1 7.198 * [backup-simplify]: Simplify (* 1 1) into 1 7.199 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.199 * [backup-simplify]: Simplify 1/2 into 1/2 7.199 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) 7.199 * [backup-simplify]: Simplify (exp (* (* (/ 1 x) (/ 1 y)) (/ 1 y))) into (exp (/ 1 (* x (pow y 2)))) 7.199 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 7.199 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 7.199 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.199 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.199 * [taylor]: Taking taylor expansion of x in y 7.199 * [backup-simplify]: Simplify x into x 7.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.199 * [taylor]: Taking taylor expansion of y in y 7.199 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify 1 into 1 7.200 * [backup-simplify]: Simplify (* 1 1) into 1 7.200 * [backup-simplify]: Simplify (* x 1) into x 7.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.200 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.200 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 7.200 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.200 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.200 * [taylor]: Taking taylor expansion of x in x 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.200 * [taylor]: Taking taylor expansion of y in x 7.200 * [backup-simplify]: Simplify y into y 7.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.200 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.200 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.201 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.201 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 7.201 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.201 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.201 * [taylor]: Taking taylor expansion of x in x 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 1 into 1 7.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.201 * [taylor]: Taking taylor expansion of y in x 7.201 * [backup-simplify]: Simplify y into y 7.201 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.201 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.201 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.201 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.201 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 7.201 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.202 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.202 * [taylor]: Taking taylor expansion of x in y 7.202 * [backup-simplify]: Simplify x into x 7.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.202 * [taylor]: Taking taylor expansion of y in y 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (* 1 1) into 1 7.202 * [backup-simplify]: Simplify (* x 1) into x 7.202 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.202 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.202 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.202 * [taylor]: Taking taylor expansion of 0 in y 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [taylor]: Taking taylor expansion of 0 in y 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [taylor]: Taking taylor expansion of 0 in y 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 7.203 * [backup-simplify]: Simplify (exp (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (exp (/ -1 (* x (pow y 2)))) 7.203 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 7.203 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 7.203 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.203 * [taylor]: Taking taylor expansion of -1 in y 7.203 * [backup-simplify]: Simplify -1 into -1 7.203 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.203 * [taylor]: Taking taylor expansion of x in y 7.203 * [backup-simplify]: Simplify x into x 7.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.203 * [taylor]: Taking taylor expansion of y in y 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (* 1 1) into 1 7.203 * [backup-simplify]: Simplify (* x 1) into x 7.203 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.203 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.203 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 7.203 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.203 * [taylor]: Taking taylor expansion of -1 in x 7.203 * [backup-simplify]: Simplify -1 into -1 7.203 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.203 * [taylor]: Taking taylor expansion of x in x 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.203 * [taylor]: Taking taylor expansion of y in x 7.204 * [backup-simplify]: Simplify y into y 7.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.204 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.204 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.204 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.204 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.204 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.204 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 7.204 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.204 * [taylor]: Taking taylor expansion of -1 in x 7.204 * [backup-simplify]: Simplify -1 into -1 7.204 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.204 * [taylor]: Taking taylor expansion of x in x 7.204 * [backup-simplify]: Simplify 0 into 0 7.204 * [backup-simplify]: Simplify 1 into 1 7.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.204 * [taylor]: Taking taylor expansion of y in x 7.204 * [backup-simplify]: Simplify y into y 7.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.205 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.205 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.205 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.205 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.205 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 7.205 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.205 * [taylor]: Taking taylor expansion of -1 in y 7.205 * [backup-simplify]: Simplify -1 into -1 7.205 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.205 * [taylor]: Taking taylor expansion of x in y 7.205 * [backup-simplify]: Simplify x into x 7.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.205 * [taylor]: Taking taylor expansion of y in y 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 1 into 1 7.206 * [backup-simplify]: Simplify (* 1 1) into 1 7.206 * [backup-simplify]: Simplify (* x 1) into x 7.206 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.206 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.206 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.206 * [taylor]: Taking taylor expansion of 0 in y 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [taylor]: Taking taylor expansion of 0 in y 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [taylor]: Taking taylor expansion of 0 in y 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 7.206 * * * [progress]: simplifying candidates 7.207 * [simplify]: Simplifying: (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 7.208 * * [simplify]: Extracting # 0 : cost 25 inf + 0 7.208 * * [simplify]: Extracting # 1 : cost 42 inf + 0 7.208 * * [simplify]: Extracting # 2 : cost 45 inf + 74 7.208 * * [simplify]: Extracting # 3 : cost 17 inf + 4411 7.209 * * [simplify]: Extracting # 4 : cost 6 inf + 6595 7.209 * * [simplify]: Extracting # 5 : cost 3 inf + 7050 7.210 * * [simplify]: Extracting # 6 : cost 2 inf + 7514 7.210 * * [simplify]: Extracting # 7 : cost 0 inf + 8855 7.211 * * [simplify]: iteration 0 : 53 enodes (cost 13277 ) 7.223 * * [simplify]: Extracting # 0 : cost 0 inf + 8855 7.226 * * [simplify]: Extracting # 1 : cost 27 inf + 7982 7.229 * * [simplify]: Extracting # 2 : cost 0 inf + 11335 7.232 * * [simplify]: Extracting # 3 : cost 0 inf + 9971 7.235 * * [simplify]: iteration 1 : 138 enodes (cost 10241 ) 7.318 * * [simplify]: Extracting # 0 : cost 0 inf + 9971 7.321 * * [simplify]: Extracting # 1 : cost 111 inf + 9388 7.326 * * [simplify]: Extracting # 2 : cost 4 inf + 22976 7.332 * * [simplify]: Extracting # 3 : cost 1 inf + 23343 7.337 * * [simplify]: Extracting # 4 : cost 0 inf + 23506 7.342 * * [simplify]: iteration 2 : 473 enodes (cost 9961 ) 7.910 * * [simplify]: Extracting # 0 : cost 0 inf + 23506 7.947 * * [simplify]: Extracting # 1 : cost 482 inf + 22081 8.003 * * [simplify]: Extracting # 2 : cost 18 inf + 73606 8.044 * * [simplify]: Extracting # 3 : cost 4 inf + 75188 8.119 * * [simplify]: Extracting # 4 : cost 0 inf + 76378 8.200 * * [simplify]: iteration 3 : 2030 enodes (cost 9721 ) 9.861 * * [simplify]: Extracting # 0 : cost 0 inf + 76378 10.014 * * [simplify]: Extracting # 1 : cost 1198 inf + 71978 10.198 * * [simplify]: Extracting # 2 : cost 49 inf + 238154 10.375 * * [simplify]: Extracting # 3 : cost 31 inf + 241704 10.626 * * [simplify]: Extracting # 4 : cost 4 inf + 247102 10.885 * * [simplify]: Extracting # 5 : cost 0 inf + 248114 11.114 * * [simplify]: iteration complete: 5000 enodes (cost 9642 ) 11.115 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y y) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y y) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y y) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (exp (* (* (* x y) y) 3)) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (+ 1 (* x (+ (* (* 1/2 (* (* y y) (* y y))) x) (* y y)))) (exp (* (* x y) y)) (exp (* (* x y) y)) 11.122 * * * [progress]: adding candidates to table 11.463 * * [progress]: iteration 3 / 4 11.463 * * * [progress]: picking best candidate 11.469 * * * * [pick]: Picked # 11.469 * * * [progress]: localizing error 11.525 * * * [progress]: generating rewritten candidates 11.525 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 11.912 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 11.939 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 11.966 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2) 11.995 * * * [progress]: generating series expansions 11.995 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 11.995 * [backup-simplify]: Simplify (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y))) into (* x (pow y 2)) 11.995 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 11.995 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 11.995 * [taylor]: Taking taylor expansion of x in y 11.995 * [backup-simplify]: Simplify x into x 11.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.995 * [taylor]: Taking taylor expansion of y in y 11.995 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify 1 into 1 11.995 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 11.995 * [taylor]: Taking taylor expansion of x in x 11.995 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify 1 into 1 11.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.996 * [taylor]: Taking taylor expansion of y in x 11.996 * [backup-simplify]: Simplify y into y 11.996 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 11.996 * [taylor]: Taking taylor expansion of x in x 11.996 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify 1 into 1 11.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.996 * [taylor]: Taking taylor expansion of y in x 11.996 * [backup-simplify]: Simplify y into y 11.996 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.996 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 11.996 * [taylor]: Taking taylor expansion of 0 in y 11.996 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 11.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.997 * [taylor]: Taking taylor expansion of y in y 11.997 * [backup-simplify]: Simplify 0 into 0 11.997 * [backup-simplify]: Simplify 1 into 1 11.998 * [backup-simplify]: Simplify (* 1 1) into 1 11.998 * [backup-simplify]: Simplify 1 into 1 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 11.999 * [taylor]: Taking taylor expansion of 0 in y 11.999 * [backup-simplify]: Simplify 0 into 0 11.999 * [backup-simplify]: Simplify 0 into 0 12.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.000 * [backup-simplify]: Simplify 0 into 0 12.000 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.002 * [taylor]: Taking taylor expansion of 0 in y 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 12.003 * [backup-simplify]: Simplify (cbrt (* (* (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) (* (* (/ 1 x) (/ 1 y)) (/ 1 y))) (* (* (/ 1 x) (/ 1 y)) (/ 1 y)))) into (/ 1 (* x (pow y 2))) 12.003 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 12.003 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 12.003 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.003 * [taylor]: Taking taylor expansion of x in y 12.003 * [backup-simplify]: Simplify x into x 12.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.003 * [taylor]: Taking taylor expansion of y in y 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify 1 into 1 12.004 * [backup-simplify]: Simplify (* 1 1) into 1 12.004 * [backup-simplify]: Simplify (* x 1) into x 12.004 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.004 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.004 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.004 * [taylor]: Taking taylor expansion of x in x 12.004 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify 1 into 1 12.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.004 * [taylor]: Taking taylor expansion of y in x 12.004 * [backup-simplify]: Simplify y into y 12.004 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.004 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.005 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.005 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.005 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.005 * [taylor]: Taking taylor expansion of x in x 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 1 into 1 12.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.005 * [taylor]: Taking taylor expansion of y in x 12.005 * [backup-simplify]: Simplify y into y 12.005 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.005 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.006 * [taylor]: Taking taylor expansion of y in y 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 1 into 1 12.007 * [backup-simplify]: Simplify (* 1 1) into 1 12.007 * [backup-simplify]: Simplify (/ 1 1) into 1 12.007 * [backup-simplify]: Simplify 1 into 1 12.008 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.009 * [taylor]: Taking taylor expansion of 0 in y 12.009 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.010 * [backup-simplify]: Simplify 0 into 0 12.011 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.013 * [taylor]: Taking taylor expansion of 0 in y 12.013 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.015 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.019 * [taylor]: Taking taylor expansion of 0 in y 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.021 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.026 * [taylor]: Taking taylor expansion of 0 in y 12.026 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 12.027 * [backup-simplify]: Simplify (cbrt (* (* (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))))) into (/ (cbrt -1) (* x (pow y 2))) 12.027 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in (x y) around 0 12.027 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in y 12.027 * [taylor]: Taking taylor expansion of (cbrt -1) in y 12.027 * [taylor]: Taking taylor expansion of -1 in y 12.027 * [backup-simplify]: Simplify -1 into -1 12.028 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.028 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.028 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.028 * [taylor]: Taking taylor expansion of x in y 12.028 * [backup-simplify]: Simplify x into x 12.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.029 * [taylor]: Taking taylor expansion of y in y 12.029 * [backup-simplify]: Simplify 0 into 0 12.029 * [backup-simplify]: Simplify 1 into 1 12.029 * [backup-simplify]: Simplify (* 1 1) into 1 12.029 * [backup-simplify]: Simplify (* x 1) into x 12.030 * [backup-simplify]: Simplify (/ (cbrt -1) x) into (/ (cbrt -1) x) 12.030 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 12.030 * [taylor]: Taking taylor expansion of (cbrt -1) in x 12.030 * [taylor]: Taking taylor expansion of -1 in x 12.030 * [backup-simplify]: Simplify -1 into -1 12.030 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.031 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.031 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.031 * [taylor]: Taking taylor expansion of x in x 12.031 * [backup-simplify]: Simplify 0 into 0 12.031 * [backup-simplify]: Simplify 1 into 1 12.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.031 * [taylor]: Taking taylor expansion of y in x 12.031 * [backup-simplify]: Simplify y into y 12.031 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.031 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.031 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.032 * [backup-simplify]: Simplify (/ (cbrt -1) (pow y 2)) into (/ (cbrt -1) (pow y 2)) 12.033 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 12.033 * [taylor]: Taking taylor expansion of (cbrt -1) in x 12.033 * [taylor]: Taking taylor expansion of -1 in x 12.033 * [backup-simplify]: Simplify -1 into -1 12.033 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.034 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.034 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.034 * [taylor]: Taking taylor expansion of x in x 12.034 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify 1 into 1 12.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.034 * [taylor]: Taking taylor expansion of y in x 12.034 * [backup-simplify]: Simplify y into y 12.034 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.034 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.034 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.035 * [backup-simplify]: Simplify (/ (cbrt -1) (pow y 2)) into (/ (cbrt -1) (pow y 2)) 12.036 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 12.036 * [taylor]: Taking taylor expansion of (cbrt -1) in y 12.036 * [taylor]: Taking taylor expansion of -1 in y 12.036 * [backup-simplify]: Simplify -1 into -1 12.036 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.037 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.037 * [taylor]: Taking taylor expansion of y in y 12.037 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify 1 into 1 12.038 * [backup-simplify]: Simplify (* 1 1) into 1 12.039 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.039 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.039 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.041 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))))) into 0 12.041 * [taylor]: Taking taylor expansion of 0 in y 12.041 * [backup-simplify]: Simplify 0 into 0 12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.048 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.048 * [taylor]: Taking taylor expansion of 0 in y 12.048 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.052 * [backup-simplify]: Simplify 0 into 0 12.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.057 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.057 * [taylor]: Taking taylor expansion of 0 in y 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 0 into 0 12.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.061 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.071 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.071 * [taylor]: Taking taylor expansion of 0 in y 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify (* (cbrt -1) (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* -1 (* x (* (cbrt -1) (pow y 2)))) 12.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 12.072 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 12.072 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 12.072 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.072 * [taylor]: Taking taylor expansion of x in y 12.072 * [backup-simplify]: Simplify x into x 12.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.072 * [taylor]: Taking taylor expansion of y in y 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify 1 into 1 12.072 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.072 * [taylor]: Taking taylor expansion of x in x 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify 1 into 1 12.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.072 * [taylor]: Taking taylor expansion of y in x 12.072 * [backup-simplify]: Simplify y into y 12.072 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.072 * [taylor]: Taking taylor expansion of x in x 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify 1 into 1 12.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.072 * [taylor]: Taking taylor expansion of y in x 12.072 * [backup-simplify]: Simplify y into y 12.072 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.073 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.073 * [taylor]: Taking taylor expansion of 0 in y 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.073 * [taylor]: Taking taylor expansion of y in y 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 1 into 1 12.074 * [backup-simplify]: Simplify (* 1 1) into 1 12.074 * [backup-simplify]: Simplify 1 into 1 12.074 * [backup-simplify]: Simplify 0 into 0 12.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.076 * [taylor]: Taking taylor expansion of 0 in y 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.079 * [taylor]: Taking taylor expansion of 0 in y 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 12.079 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 12.079 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 12.079 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 12.079 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.079 * [taylor]: Taking taylor expansion of x in y 12.079 * [backup-simplify]: Simplify x into x 12.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.079 * [taylor]: Taking taylor expansion of y in y 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 1 into 1 12.080 * [backup-simplify]: Simplify (* 1 1) into 1 12.080 * [backup-simplify]: Simplify (* x 1) into x 12.080 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.080 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.080 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.080 * [taylor]: Taking taylor expansion of x in x 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.080 * [taylor]: Taking taylor expansion of y in x 12.080 * [backup-simplify]: Simplify y into y 12.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.080 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.081 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.081 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.081 * [taylor]: Taking taylor expansion of x in x 12.081 * [backup-simplify]: Simplify 0 into 0 12.081 * [backup-simplify]: Simplify 1 into 1 12.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.081 * [taylor]: Taking taylor expansion of y in x 12.081 * [backup-simplify]: Simplify y into y 12.081 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.081 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.082 * [taylor]: Taking taylor expansion of y in y 12.082 * [backup-simplify]: Simplify 0 into 0 12.082 * [backup-simplify]: Simplify 1 into 1 12.083 * [backup-simplify]: Simplify (* 1 1) into 1 12.083 * [backup-simplify]: Simplify (/ 1 1) into 1 12.083 * [backup-simplify]: Simplify 1 into 1 12.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.085 * [taylor]: Taking taylor expansion of 0 in y 12.085 * [backup-simplify]: Simplify 0 into 0 12.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.086 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.089 * [taylor]: Taking taylor expansion of 0 in y 12.089 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.091 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.094 * [taylor]: Taking taylor expansion of 0 in y 12.094 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.096 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.101 * [taylor]: Taking taylor expansion of 0 in y 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 12.101 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 12.101 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 12.102 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 12.102 * [taylor]: Taking taylor expansion of -1 in y 12.102 * [backup-simplify]: Simplify -1 into -1 12.102 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.102 * [taylor]: Taking taylor expansion of x in y 12.102 * [backup-simplify]: Simplify x into x 12.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.102 * [taylor]: Taking taylor expansion of y in y 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [backup-simplify]: Simplify (* 1 1) into 1 12.102 * [backup-simplify]: Simplify (* x 1) into x 12.102 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 12.102 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 12.102 * [taylor]: Taking taylor expansion of -1 in x 12.102 * [backup-simplify]: Simplify -1 into -1 12.102 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.102 * [taylor]: Taking taylor expansion of x in x 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.103 * [taylor]: Taking taylor expansion of y in x 12.103 * [backup-simplify]: Simplify y into y 12.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.103 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.104 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 12.104 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 12.104 * [taylor]: Taking taylor expansion of -1 in x 12.104 * [backup-simplify]: Simplify -1 into -1 12.104 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.104 * [taylor]: Taking taylor expansion of x in x 12.104 * [backup-simplify]: Simplify 0 into 0 12.104 * [backup-simplify]: Simplify 1 into 1 12.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.104 * [taylor]: Taking taylor expansion of y in x 12.104 * [backup-simplify]: Simplify y into y 12.104 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.104 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.104 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.105 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 12.105 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 12.105 * [taylor]: Taking taylor expansion of -1 in y 12.105 * [backup-simplify]: Simplify -1 into -1 12.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.105 * [taylor]: Taking taylor expansion of y in y 12.105 * [backup-simplify]: Simplify 0 into 0 12.105 * [backup-simplify]: Simplify 1 into 1 12.105 * [backup-simplify]: Simplify (* 1 1) into 1 12.106 * [backup-simplify]: Simplify (/ -1 1) into -1 12.106 * [backup-simplify]: Simplify -1 into -1 12.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.108 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.108 * [taylor]: Taking taylor expansion of 0 in y 12.108 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.110 * [backup-simplify]: Simplify 0 into 0 12.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.112 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.112 * [taylor]: Taking taylor expansion of 0 in y 12.112 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.114 * [backup-simplify]: Simplify 0 into 0 12.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.118 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.118 * [taylor]: Taking taylor expansion of 0 in y 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.120 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.124 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.125 * [taylor]: Taking taylor expansion of 0 in y 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 12.125 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 12.125 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 12.125 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 12.125 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.125 * [taylor]: Taking taylor expansion of x in y 12.125 * [backup-simplify]: Simplify x into x 12.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.125 * [taylor]: Taking taylor expansion of y in y 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 1 into 1 12.125 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.125 * [taylor]: Taking taylor expansion of x in x 12.125 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.126 * [taylor]: Taking taylor expansion of y in x 12.126 * [backup-simplify]: Simplify y into y 12.126 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.126 * [taylor]: Taking taylor expansion of x in x 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.126 * [taylor]: Taking taylor expansion of y in x 12.126 * [backup-simplify]: Simplify y into y 12.126 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.126 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.126 * [taylor]: Taking taylor expansion of 0 in y 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.127 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.127 * [taylor]: Taking taylor expansion of y in y 12.127 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify 1 into 1 12.127 * [backup-simplify]: Simplify (* 1 1) into 1 12.127 * [backup-simplify]: Simplify 1 into 1 12.127 * [backup-simplify]: Simplify 0 into 0 12.128 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.129 * [taylor]: Taking taylor expansion of 0 in y 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.132 * [taylor]: Taking taylor expansion of 0 in y 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 12.132 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 12.132 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 12.132 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 12.132 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.132 * [taylor]: Taking taylor expansion of x in y 12.132 * [backup-simplify]: Simplify x into x 12.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.132 * [taylor]: Taking taylor expansion of y in y 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 1 into 1 12.133 * [backup-simplify]: Simplify (* 1 1) into 1 12.133 * [backup-simplify]: Simplify (* x 1) into x 12.133 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.133 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.133 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.133 * [taylor]: Taking taylor expansion of x in x 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.133 * [taylor]: Taking taylor expansion of y in x 12.133 * [backup-simplify]: Simplify y into y 12.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.133 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.134 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.134 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.135 * [taylor]: Taking taylor expansion of x in x 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 1 into 1 12.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.135 * [taylor]: Taking taylor expansion of y in x 12.135 * [backup-simplify]: Simplify y into y 12.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.135 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.135 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.136 * [taylor]: Taking taylor expansion of y in y 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (* 1 1) into 1 12.137 * [backup-simplify]: Simplify (/ 1 1) into 1 12.137 * [backup-simplify]: Simplify 1 into 1 12.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.138 * [taylor]: Taking taylor expansion of 0 in y 12.138 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.140 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.142 * [taylor]: Taking taylor expansion of 0 in y 12.142 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.144 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.147 * [taylor]: Taking taylor expansion of 0 in y 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.150 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.154 * [taylor]: Taking taylor expansion of 0 in y 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 12.154 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 12.154 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 12.154 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 12.154 * [taylor]: Taking taylor expansion of -1 in y 12.155 * [backup-simplify]: Simplify -1 into -1 12.155 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.155 * [taylor]: Taking taylor expansion of x in y 12.155 * [backup-simplify]: Simplify x into x 12.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.155 * [taylor]: Taking taylor expansion of y in y 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 1 into 1 12.155 * [backup-simplify]: Simplify (* 1 1) into 1 12.155 * [backup-simplify]: Simplify (* x 1) into x 12.155 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 12.155 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 12.155 * [taylor]: Taking taylor expansion of -1 in x 12.155 * [backup-simplify]: Simplify -1 into -1 12.155 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.155 * [taylor]: Taking taylor expansion of x in x 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 1 into 1 12.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.155 * [taylor]: Taking taylor expansion of y in x 12.155 * [backup-simplify]: Simplify y into y 12.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.156 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.156 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.156 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 12.156 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 12.157 * [taylor]: Taking taylor expansion of -1 in x 12.157 * [backup-simplify]: Simplify -1 into -1 12.157 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.157 * [taylor]: Taking taylor expansion of x in x 12.157 * [backup-simplify]: Simplify 0 into 0 12.157 * [backup-simplify]: Simplify 1 into 1 12.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.157 * [taylor]: Taking taylor expansion of y in x 12.157 * [backup-simplify]: Simplify y into y 12.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.157 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.158 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.158 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 12.158 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 12.158 * [taylor]: Taking taylor expansion of -1 in y 12.158 * [backup-simplify]: Simplify -1 into -1 12.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.158 * [taylor]: Taking taylor expansion of y in y 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify 1 into 1 12.158 * [backup-simplify]: Simplify (* 1 1) into 1 12.159 * [backup-simplify]: Simplify (/ -1 1) into -1 12.159 * [backup-simplify]: Simplify -1 into -1 12.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.161 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.161 * [taylor]: Taking taylor expansion of 0 in y 12.161 * [backup-simplify]: Simplify 0 into 0 12.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.162 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.165 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.165 * [taylor]: Taking taylor expansion of 0 in y 12.165 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.167 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.170 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.171 * [taylor]: Taking taylor expansion of 0 in y 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.173 * [backup-simplify]: Simplify 0 into 0 12.174 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.177 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.177 * [taylor]: Taking taylor expansion of 0 in y 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 12.178 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2) 12.178 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 12.178 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 12.178 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.178 * [taylor]: Taking taylor expansion of x in y 12.178 * [backup-simplify]: Simplify x into x 12.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.178 * [taylor]: Taking taylor expansion of y in y 12.178 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify 1 into 1 12.178 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.178 * [taylor]: Taking taylor expansion of x in x 12.178 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify 1 into 1 12.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.178 * [taylor]: Taking taylor expansion of y in x 12.178 * [backup-simplify]: Simplify y into y 12.178 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.178 * [taylor]: Taking taylor expansion of x in x 12.178 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify 1 into 1 12.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.178 * [taylor]: Taking taylor expansion of y in x 12.178 * [backup-simplify]: Simplify y into y 12.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.179 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.179 * [taylor]: Taking taylor expansion of 0 in y 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.179 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.179 * [taylor]: Taking taylor expansion of y in y 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify (* 1 1) into 1 12.180 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.181 * [taylor]: Taking taylor expansion of 0 in y 12.181 * [backup-simplify]: Simplify 0 into 0 12.181 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.182 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.184 * [taylor]: Taking taylor expansion of 0 in y 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 12.185 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 12.185 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 12.185 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 12.185 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.185 * [taylor]: Taking taylor expansion of x in y 12.185 * [backup-simplify]: Simplify x into x 12.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.185 * [taylor]: Taking taylor expansion of y in y 12.185 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify 1 into 1 12.186 * [backup-simplify]: Simplify (* 1 1) into 1 12.186 * [backup-simplify]: Simplify (* x 1) into x 12.186 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.186 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.186 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.186 * [taylor]: Taking taylor expansion of x in x 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify 1 into 1 12.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.186 * [taylor]: Taking taylor expansion of y in x 12.186 * [backup-simplify]: Simplify y into y 12.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.186 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.186 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.187 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 12.187 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.187 * [taylor]: Taking taylor expansion of x in x 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify 1 into 1 12.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.187 * [taylor]: Taking taylor expansion of y in x 12.187 * [backup-simplify]: Simplify y into y 12.187 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.187 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.188 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 12.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.188 * [taylor]: Taking taylor expansion of y in y 12.188 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify 1 into 1 12.189 * [backup-simplify]: Simplify (* 1 1) into 1 12.189 * [backup-simplify]: Simplify (/ 1 1) into 1 12.189 * [backup-simplify]: Simplify 1 into 1 12.190 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.191 * [taylor]: Taking taylor expansion of 0 in y 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.192 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.195 * [taylor]: Taking taylor expansion of 0 in y 12.195 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.196 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.200 * [taylor]: Taking taylor expansion of 0 in y 12.200 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.202 * [backup-simplify]: Simplify 0 into 0 12.204 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.207 * [taylor]: Taking taylor expansion of 0 in y 12.207 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 12.207 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 12.207 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 12.207 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 12.207 * [taylor]: Taking taylor expansion of -1 in y 12.207 * [backup-simplify]: Simplify -1 into -1 12.207 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 12.207 * [taylor]: Taking taylor expansion of x in y 12.207 * [backup-simplify]: Simplify x into x 12.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.207 * [taylor]: Taking taylor expansion of y in y 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 1 into 1 12.208 * [backup-simplify]: Simplify (* 1 1) into 1 12.208 * [backup-simplify]: Simplify (* x 1) into x 12.208 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 12.208 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 12.208 * [taylor]: Taking taylor expansion of -1 in x 12.208 * [backup-simplify]: Simplify -1 into -1 12.208 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.208 * [taylor]: Taking taylor expansion of x in x 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 1 into 1 12.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.208 * [taylor]: Taking taylor expansion of y in x 12.208 * [backup-simplify]: Simplify y into y 12.208 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.209 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.209 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.209 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 12.209 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 12.209 * [taylor]: Taking taylor expansion of -1 in x 12.209 * [backup-simplify]: Simplify -1 into -1 12.209 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 12.209 * [taylor]: Taking taylor expansion of x in x 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 12.209 * [taylor]: Taking taylor expansion of y in x 12.209 * [backup-simplify]: Simplify y into y 12.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 12.209 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 12.209 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 12.210 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 12.210 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 12.210 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 12.210 * [taylor]: Taking taylor expansion of -1 in y 12.210 * [backup-simplify]: Simplify -1 into -1 12.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.210 * [taylor]: Taking taylor expansion of y in y 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (* 1 1) into 1 12.210 * [backup-simplify]: Simplify (/ -1 1) into -1 12.210 * [backup-simplify]: Simplify -1 into -1 12.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 12.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 12.212 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 12.212 * [taylor]: Taking taylor expansion of 0 in y 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.212 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 12.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 12.214 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.214 * [taylor]: Taking taylor expansion of 0 in y 12.214 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 12.219 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.219 * [taylor]: Taking taylor expansion of 0 in y 12.219 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify 0 into 0 12.222 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 12.223 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 12.223 * [taylor]: Taking taylor expansion of 0 in y 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 12.224 * * * [progress]: simplifying candidates 12.224 * [simplify]: Simplifying: (log (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (exp (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (cbrt (* (* (* x y) y) (* (* x y) y))) (cbrt (* (* x y) y)) (* (cbrt (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (cbrt (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y))))) (cbrt (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (* (* (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y))) (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (sqrt (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (sqrt (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)))) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* x (pow y 2)) (* x (pow y 2)) (* -1 (* x (* (cbrt -1) (pow y 2)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 12.225 * * [simplify]: Extracting # 0 : cost 24 inf + 0 12.225 * * [simplify]: Extracting # 1 : cost 42 inf + 0 12.225 * * [simplify]: Extracting # 2 : cost 44 inf + 4 12.226 * * [simplify]: Extracting # 3 : cost 23 inf + 3105 12.226 * * [simplify]: Extracting # 4 : cost 6 inf + 6637 12.227 * * [simplify]: Extracting # 5 : cost 3 inf + 7314 12.227 * * [simplify]: Extracting # 6 : cost 1 inf + 7930 12.228 * * [simplify]: Extracting # 7 : cost 0 inf + 8172 12.229 * * [simplify]: iteration 0 : 50 enodes (cost 13597 ) 12.239 * * [simplify]: Extracting # 0 : cost 0 inf + 8172 12.240 * * [simplify]: Extracting # 1 : cost 23 inf + 7620 12.241 * * [simplify]: Extracting # 2 : cost 0 inf + 10320 12.243 * * [simplify]: Extracting # 3 : cost 0 inf + 9978 12.244 * * [simplify]: iteration 1 : 122 enodes (cost 11002 ) 12.277 * * [simplify]: Extracting # 0 : cost 0 inf + 9978 12.279 * * [simplify]: Extracting # 1 : cost 72 inf + 9325 12.283 * * [simplify]: Extracting # 2 : cost 4 inf + 18102 12.288 * * [simplify]: Extracting # 3 : cost 0 inf + 18912 12.298 * * [simplify]: iteration 2 : 369 enodes (cost 10522 ) 12.744 * * [simplify]: Extracting # 0 : cost 0 inf + 18912 12.755 * * [simplify]: Extracting # 1 : cost 148 inf + 16676 12.773 * * [simplify]: Extracting # 2 : cost 14 inf + 33527 12.791 * * [simplify]: Extracting # 3 : cost 2 inf + 35575 12.810 * * [simplify]: Extracting # 4 : cost 0 inf + 36110 12.828 * * [simplify]: iteration 3 : 1376 enodes (cost 9402 ) 15.010 * * [simplify]: Extracting # 0 : cost 0 inf + 36110 15.076 * * [simplify]: Extracting # 1 : cost 1212 inf + 34590 15.191 * * [simplify]: Extracting # 2 : cost 29 inf + 189436 15.325 * * [simplify]: Extracting # 3 : cost 2 inf + 190694 15.484 * * [simplify]: Extracting # 4 : cost 0 inf + 191112 15.623 * * [simplify]: iteration 4 : 4869 enodes (cost 9402 ) 17.233 * * [simplify]: Extracting # 0 : cost 0 inf + 191112 17.382 * * [simplify]: Extracting # 1 : cost 63 inf + 191112 17.525 * * [simplify]: Extracting # 2 : cost 0 inf + 197785 17.681 * * [simplify]: iteration complete: 5001 enodes (cost 9402 ) 17.681 * [simplify]: Simplified to: (log (* (* x y) y)) (exp (* (* x y) y)) (cbrt (* (* (* x y) y) (* (* x y) y))) (cbrt (* (* x y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y y) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y y) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* x y) y) (* (* (* x y) y) (* (* x y) y))) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y y) (* (* x y) y) (* (* x y) y) (* (* -1 x) (* (cbrt -1) (* y y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* (* x y) y) 17.687 * * * [progress]: adding candidates to table 18.166 * [progress]: [Phase 3 of 3] Extracting. 18.173 * [simplify]: Simplifying: (* (* (cbrt (exp (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y))))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y)))) 18.173 * * [simplify]: Extracting # 0 : cost 1 inf + 0 18.173 * * [simplify]: Extracting # 1 : cost 3 inf + 0 18.173 * * [simplify]: Extracting # 2 : cost 5 inf + 0 18.173 * * [simplify]: Extracting # 3 : cost 7 inf + 0 18.173 * * [simplify]: Extracting # 4 : cost 10 inf + 0 18.173 * * [simplify]: Extracting # 5 : cost 11 inf + 1 18.173 * * [simplify]: Extracting # 6 : cost 11 inf + 2 18.173 * * [simplify]: Extracting # 7 : cost 8 inf + 278 18.173 * * [simplify]: Extracting # 8 : cost 5 inf + 794 18.173 * * [simplify]: Extracting # 9 : cost 3 inf + 1348 18.174 * * [simplify]: Extracting # 10 : cost 1 inf + 2322 18.174 * * [simplify]: Extracting # 11 : cost 0 inf + 2944 18.174 * * [simplify]: iteration 0 : 13 enodes (cost 622 ) 18.175 * * [simplify]: Extracting # 0 : cost 0 inf + 2944 18.175 * * [simplify]: iteration 1 : 18 enodes (cost 622 ) 18.176 * * [simplify]: Extracting # 0 : cost 0 inf + 2944 18.176 * * [simplify]: iteration complete: 18 enodes (cost 622 ) 18.176 * [simplify]: Simplified to: (* (* (cbrt (exp (cbrt (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y))))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y)))) 19.736 * [regime-testing]: Baseline error score: 0.030434425922576593 19.753 * [regime-testing]: Oracle error score: 0.030434425922576593 19.754 * [regime-testing]: End program error score: 0.030434425922576593