13.390 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (- (/ x (* y y)) 3.0) 0.040 * * [simplify]: iteration 0: 6 enodes 0.042 * * [simplify]: iteration 1: 10 enodes 0.045 * * [simplify]: iteration 2: 11 enodes 0.048 * * [simplify]: iteration complete: 11 enodes 0.048 * * [simplify]: Extracting #0: cost 1 inf + 0 0.048 * * [simplify]: Extracting #1: cost 4 inf + 0 0.048 * * [simplify]: Extracting #2: cost 6 inf + 3 0.048 * * [simplify]: Extracting #3: cost 3 inf + 8 0.048 * * [simplify]: Extracting #4: cost 0 inf + 23 0.049 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.081 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.081 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ x 1) into x 0.091 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.092 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.101 * [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 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.106 * [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 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.106 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.106 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [backup-simplify]: Simplify x into x 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.107 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.107 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.108 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.118 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.118 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.118 * [taylor]: Taking taylor expansion of -1 in y 0.118 * [backup-simplify]: Simplify -1 into -1 0.118 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [backup-simplify]: Simplify x into x 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.119 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.119 * [taylor]: Taking taylor expansion of -1 in x 0.119 * [backup-simplify]: Simplify -1 into -1 0.119 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.119 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.119 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.119 * [taylor]: Taking taylor expansion of -1 in x 0.119 * [backup-simplify]: Simplify -1 into -1 0.119 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.120 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.120 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.120 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of -1 in y 0.120 * [backup-simplify]: Simplify -1 into -1 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (* -1 1) into -1 0.121 * [backup-simplify]: Simplify -1 into -1 0.121 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.133 * * * [progress]: simplifying candidates 0.134 * [simplify]: Simplifying: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* 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 y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.135 * * [simplify]: iteration 0: 45 enodes 0.150 * * [simplify]: iteration 1: 112 enodes 0.233 * * [simplify]: iteration 2: 616 enodes 0.551 * * [simplify]: iteration complete: 5001 enodes 0.551 * * [simplify]: Extracting #0: cost 20 inf + 0 0.554 * * [simplify]: Extracting #1: cost 750 inf + 0 0.564 * * [simplify]: Extracting #2: cost 2084 inf + 150 0.587 * * [simplify]: Extracting #3: cost 765 inf + 8301 0.604 * * [simplify]: Extracting #4: cost 10 inf + 13442 0.619 * * [simplify]: Extracting #5: cost 0 inf + 13388 0.633 * * [simplify]: Extracting #6: cost 0 inf + 13382 0.648 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- x) (* y (- y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (* (/ y (cbrt x)) y) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.648 * * * [progress]: adding candidates to table 0.759 * * [progress]: iteration 2 / 4 0.759 * * * [progress]: picking best candidate 0.785 * * * * [pick]: Picked # 0.785 * * * [progress]: localizing error 0.799 * * * [progress]: generating rewritten candidates 0.799 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.816 * * * [progress]: generating series expansions 0.816 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.817 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.817 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.817 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of x in y 0.817 * [backup-simplify]: Simplify x into x 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (* 1 1) into 1 0.817 * [backup-simplify]: Simplify (/ x 1) into x 0.817 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [backup-simplify]: Simplify y into y 0.817 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.817 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.817 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [backup-simplify]: Simplify y into y 0.818 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.818 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (* 1 1) into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.820 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.823 * [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 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.825 * [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 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.826 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.826 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.826 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [backup-simplify]: Simplify x into x 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.826 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [backup-simplify]: Simplify y into y 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.826 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.826 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [backup-simplify]: Simplify y into y 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.826 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.832 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.832 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.832 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.832 * [taylor]: Taking taylor expansion of -1 in y 0.832 * [backup-simplify]: Simplify -1 into -1 0.832 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of x in y 0.832 * [backup-simplify]: Simplify x into x 0.832 * [backup-simplify]: Simplify (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.833 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.833 * [taylor]: Taking taylor expansion of -1 in x 0.833 * [backup-simplify]: Simplify -1 into -1 0.833 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [backup-simplify]: Simplify y into y 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.833 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.833 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.833 * [taylor]: Taking taylor expansion of -1 in x 0.833 * [backup-simplify]: Simplify -1 into -1 0.833 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [backup-simplify]: Simplify y into y 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.833 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.833 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.833 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.833 * [taylor]: Taking taylor expansion of -1 in y 0.833 * [backup-simplify]: Simplify -1 into -1 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (* -1 1) into -1 0.834 * [backup-simplify]: Simplify -1 into -1 0.834 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.836 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.844 * * * [progress]: simplifying candidates 0.846 * [simplify]: Simplifying: (expm1 (/ (/ x y) y)) (log1p (/ (/ 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)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.849 * * [simplify]: iteration 0: 142 enodes 0.913 * * [simplify]: iteration 1: 343 enodes 1.093 * * [simplify]: iteration 2: 1637 enodes 1.773 * * [simplify]: iteration complete: 5000 enodes 1.773 * * [simplify]: Extracting #0: cost 84 inf + 0 1.777 * * [simplify]: Extracting #1: cost 816 inf + 2 1.785 * * [simplify]: Extracting #2: cost 1850 inf + 1134 1.800 * * [simplify]: Extracting #3: cost 617 inf + 9379 1.813 * * [simplify]: Extracting #4: cost 0 inf + 13023 1.826 * * [simplify]: Extracting #5: cost 0 inf + 12997 1.848 * * [simplify]: Extracting #6: cost 0 inf + 12987 1.862 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (pow (/ x y) 3) (pow y 3)) (/ (pow (/ x y) 3) (pow y 3)) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (/ (- x) y) (- y) (* (/ (cbrt (/ x y)) (* (cbrt y) (cbrt y))) (cbrt (/ x y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (cbrt (/ x y)) (/ (sqrt y) (cbrt (/ x y)))) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (/ (cbrt x) y) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (cbrt x) (* y (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (* y y)) (/ (sqrt x) (* (cbrt y) (pow (cbrt y) 3))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (sqrt x) (/ (sqrt x) (* y y)) (/ 1 (* (cbrt y) (pow (cbrt y) 3))) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) (* (sqrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) y) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x (* (cbrt y) (cbrt y))) y) (/ x (* (sqrt y) y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (* (/ y (cbrt x)) (cbrt y)) (* (sqrt y) (/ y (cbrt x))) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) (cbrt y)) (* (/ y (sqrt x)) (sqrt y)) (/ y (/ (sqrt x) y)) (* (cbrt y) (/ y x)) (* (/ y x) (sqrt y)) (/ y (/ x y)) (/ y (/ x y)) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 1.863 * * * [progress]: adding candidates to table 2.521 * * [progress]: iteration 3 / 4 2.521 * * * [progress]: picking best candidate 2.555 * * * * [pick]: Picked # 2.555 * * * [progress]: localizing error 2.565 * * * [progress]: generating rewritten candidates 2.565 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.595 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 2.679 * * * [progress]: generating series expansions 2.679 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.679 * [backup-simplify]: Simplify (/ (/ 1 1) (/ y (/ x y))) into (/ x (pow y 2)) 2.680 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 2.680 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.680 * [taylor]: Taking taylor expansion of y in x 2.680 * [backup-simplify]: Simplify y into y 2.680 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.680 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.680 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.680 * [taylor]: Taking taylor expansion of x in y 2.680 * [backup-simplify]: Simplify x into x 2.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.680 * [taylor]: Taking taylor expansion of y in y 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (/ x 1) into x 2.680 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.680 * [taylor]: Taking taylor expansion of x in y 2.680 * [backup-simplify]: Simplify x into x 2.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.680 * [taylor]: Taking taylor expansion of y in y 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (* 1 1) into 1 2.681 * [backup-simplify]: Simplify (/ x 1) into x 2.681 * [taylor]: Taking taylor expansion of x in x 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.682 * [taylor]: Taking taylor expansion of 0 in x 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [taylor]: Taking taylor expansion of 0 in x 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [taylor]: Taking taylor expansion of 0 in x 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 2.686 * [backup-simplify]: Simplify (/ (/ 1 1) (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 2.686 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 2.686 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.686 * [taylor]: Taking taylor expansion of y in x 2.686 * [backup-simplify]: Simplify y into y 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.686 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.686 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.686 * [taylor]: Taking taylor expansion of y in y 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [taylor]: Taking taylor expansion of x in y 2.686 * [backup-simplify]: Simplify x into x 2.686 * [backup-simplify]: Simplify (* 1 1) into 1 2.686 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.686 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.686 * [taylor]: Taking taylor expansion of y in y 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [taylor]: Taking taylor expansion of x in y 2.686 * [backup-simplify]: Simplify x into x 2.687 * [backup-simplify]: Simplify (* 1 1) into 1 2.687 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (/ 1 1) into 1 2.687 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.688 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.688 * [taylor]: Taking taylor expansion of 0 in x 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.689 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.689 * [taylor]: Taking taylor expansion of 0 in x 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.690 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.690 * [taylor]: Taking taylor expansion of 0 in x 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 2.692 * [backup-simplify]: Simplify (/ (/ 1 1) (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 2.692 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 2.692 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.692 * [taylor]: Taking taylor expansion of -1 in x 2.692 * [backup-simplify]: Simplify -1 into -1 2.692 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.692 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.692 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.692 * [taylor]: Taking taylor expansion of -1 in y 2.692 * [backup-simplify]: Simplify -1 into -1 2.692 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.692 * [taylor]: Taking taylor expansion of y in y 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of x in y 2.692 * [backup-simplify]: Simplify x into x 2.692 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.693 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.693 * [taylor]: Taking taylor expansion of -1 in y 2.693 * [backup-simplify]: Simplify -1 into -1 2.693 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.693 * [taylor]: Taking taylor expansion of y in y 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of x in y 2.693 * [backup-simplify]: Simplify x into x 2.693 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.693 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 2.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.693 * [taylor]: Taking taylor expansion of -1 in x 2.693 * [backup-simplify]: Simplify -1 into -1 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ -1 1) into -1 2.693 * [backup-simplify]: Simplify -1 into -1 2.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.694 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.694 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 2.694 * [taylor]: Taking taylor expansion of 0 in x 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.696 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.696 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.696 * [taylor]: Taking taylor expansion of 0 in x 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.698 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.698 * [taylor]: Taking taylor expansion of 0 in x 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 2.699 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 2.699 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 2.699 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 2.699 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.699 * [taylor]: Taking taylor expansion of y in x 2.699 * [backup-simplify]: Simplify y into y 2.699 * [taylor]: Taking taylor expansion of x in x 2.699 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.707 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.707 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.707 * [taylor]: Taking taylor expansion of y in y 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [taylor]: Taking taylor expansion of x in y 2.707 * [backup-simplify]: Simplify x into x 2.708 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.708 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.708 * [taylor]: Taking taylor expansion of y in y 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [taylor]: Taking taylor expansion of x in y 2.708 * [backup-simplify]: Simplify x into x 2.708 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.708 * [taylor]: Taking taylor expansion of x in x 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (/ 1 1) into 1 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.709 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.709 * [taylor]: Taking taylor expansion of 0 in x 2.709 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.710 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.710 * [taylor]: Taking taylor expansion of 0 in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.712 * [taylor]: Taking taylor expansion of 0 in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 2.713 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 2.713 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 2.713 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.713 * [taylor]: Taking taylor expansion of y in x 2.713 * [backup-simplify]: Simplify y into y 2.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.713 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.713 * [taylor]: Taking taylor expansion of x in y 2.713 * [backup-simplify]: Simplify x into x 2.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.713 * [taylor]: Taking taylor expansion of y in y 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (* 1 1) into 1 2.713 * [backup-simplify]: Simplify (/ x 1) into x 2.713 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.713 * [taylor]: Taking taylor expansion of x in y 2.713 * [backup-simplify]: Simplify x into x 2.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.713 * [taylor]: Taking taylor expansion of y in y 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (* 1 1) into 1 2.714 * [backup-simplify]: Simplify (/ x 1) into x 2.714 * [taylor]: Taking taylor expansion of x in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.715 * [taylor]: Taking taylor expansion of 0 in x 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [taylor]: Taking taylor expansion of 0 in x 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [taylor]: Taking taylor expansion of 0 in x 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 2.719 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 2.719 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 2.719 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 2.719 * [taylor]: Taking taylor expansion of -1 in x 2.719 * [backup-simplify]: Simplify -1 into -1 2.719 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.719 * [taylor]: Taking taylor expansion of y in x 2.719 * [backup-simplify]: Simplify y into y 2.719 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.719 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.719 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 2.719 * [taylor]: Taking taylor expansion of -1 in y 2.719 * [backup-simplify]: Simplify -1 into -1 2.719 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.719 * [taylor]: Taking taylor expansion of x in y 2.719 * [backup-simplify]: Simplify x into x 2.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.719 * [taylor]: Taking taylor expansion of y in y 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (* 1 1) into 1 2.719 * [backup-simplify]: Simplify (/ x 1) into x 2.719 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 2.719 * [taylor]: Taking taylor expansion of -1 in y 2.719 * [backup-simplify]: Simplify -1 into -1 2.719 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.719 * [taylor]: Taking taylor expansion of x in y 2.719 * [backup-simplify]: Simplify x into x 2.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.719 * [taylor]: Taking taylor expansion of y in y 2.719 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (* 1 1) into 1 2.720 * [backup-simplify]: Simplify (/ x 1) into x 2.720 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 2.720 * [taylor]: Taking taylor expansion of (* -1 x) in x 2.720 * [taylor]: Taking taylor expansion of -1 in x 2.720 * [backup-simplify]: Simplify -1 into -1 2.720 * [taylor]: Taking taylor expansion of x in x 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.720 * [backup-simplify]: Simplify -1 into -1 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 2.722 * [taylor]: Taking taylor expansion of 0 in x 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 2.725 * [taylor]: Taking taylor expansion of 0 in x 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.732 * [taylor]: Taking taylor expansion of 0 in x 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 2.732 * * * [progress]: simplifying candidates 2.759 * [simplify]: Simplifying: (expm1 (/ (/ 1 1) (/ y (/ x y)))) (log1p (/ (/ 1 1) (/ y (/ x y)))) (- (- 0) (- (log y) (- (log x) (log y)))) (- (- 0) (- (log y) (log (/ x y)))) (- (- 0) (log (/ y (/ x y)))) (- (- (log 1)) (- (log y) (- (log x) (log y)))) (- (- (log 1)) (- (log y) (log (/ x y)))) (- (- (log 1)) (log (/ y (/ x y)))) (- (- 0 0) (- (log y) (- (log x) (log y)))) (- (- 0 0) (- (log y) (log (/ x y)))) (- (- 0 0) (log (/ y (/ x y)))) (- (- 0 (log 1)) (- (log y) (- (log x) (log y)))) (- (- 0 (log 1)) (- (log y) (log (/ x y)))) (- (- 0 (log 1)) (log (/ y (/ x y)))) (- (- (log 1) 0) (- (log y) (- (log x) (log y)))) (- (- (log 1) 0) (- (log y) (log (/ x y)))) (- (- (log 1) 0) (log (/ y (/ x y)))) (- (- (log 1) (log 1)) (- (log y) (- (log x) (log y)))) (- (- (log 1) (log 1)) (- (log y) (log (/ x y)))) (- (- (log 1) (log 1)) (log (/ y (/ x y)))) (- (log (/ 1 1)) (- (log y) (- (log x) (log y)))) (- (log (/ 1 1)) (- (log y) (log (/ x y)))) (- (log (/ 1 1)) (log (/ y (/ x y)))) (log (/ (/ 1 1) (/ y (/ x y)))) (exp (/ (/ 1 1) (/ y (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (* (cbrt (/ (/ 1 1) (/ y (/ x y)))) (cbrt (/ (/ 1 1) (/ y (/ x y))))) (cbrt (/ (/ 1 1) (/ y (/ x y)))) (* (* (/ (/ 1 1) (/ y (/ x y))) (/ (/ 1 1) (/ y (/ x y)))) (/ (/ 1 1) (/ y (/ x y)))) (sqrt (/ (/ 1 1) (/ y (/ x y)))) (sqrt (/ (/ 1 1) (/ y (/ x y)))) (- (/ 1 1)) (- (/ y (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt (/ 1 1)) (cbrt (/ y (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (sqrt (/ y (/ x y)))) (/ (cbrt (/ 1 1)) (sqrt (/ y (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ 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y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ y (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ y (/ x y)) (/ 1 1) (/ y (/ x y)) (/ 1 x) (/ y (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) y) (/ y (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (sqrt (/ x y))) (/ y (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ y (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (* (cbrt x) (cbrt x)) 1)) (/ y (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) 1)) (/ y (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ 1 (sqrt y))) (/ y (/ 1 1)) (/ y 1) (/ y x) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 2.797 * * [simplify]: iteration 0: 1176 enodes 7.010 * * [simplify]: iteration 1: 4894 enodes 7.705 * * [simplify]: iteration complete: 5001 enodes 7.706 * * [simplify]: Extracting #0: cost 220 inf + 0 7.712 * * [simplify]: Extracting #1: cost 1695 inf + 10 7.721 * * [simplify]: Extracting #2: cost 1034 inf + 2962 7.731 * * [simplify]: Extracting #3: cost 292 inf + 8892 7.740 * * [simplify]: Extracting #4: cost 6 inf + 12064 7.749 * * [simplify]: Extracting #5: cost 0 inf + 12129 7.769 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (pow (exp (/ 1 y)) (/ x y)) (* (/ 1 (* y (* y y))) (/ (* (* x x) x) (* y (* y y)))) (* (/ 1 (* y (* y y))) (* (* (/ x y) (/ x y)) (/ x y))) (/ 1 (* (/ y (/ x y)) (* 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(sqrt y)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (* (/ 1 y) (/ (sqrt x) y)) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (/ y x) (cbrt y))) (/ 1 (sqrt y)) (* (/ 1 y) (/ x (sqrt y))) 1 (* (/ 1 y) (/ x y)) 1 (* (/ 1 y) (/ x y)) x (* (/ 1 y) (/ 1 y)) 1 (* (/ 1 y) (/ x y)) (/ 1 y) (* 1 (/ x y)) (* (/ 1 y) x) (/ 1 y) (* (/ 1 y) (/ x y)) (/ y (* 1 (/ x y))) (/ (/ 1 (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (sqrt (/ x y))) (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (* (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt x) (cbrt x))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ (sqrt x) (sqrt y))) (* (/ 1 (* (cbrt y) (cbrt y))) (sqrt x)) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (sqrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (* (/ 1 (* (cbrt y) (cbrt y))) x) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ 1 (sqrt y)) (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (* (/ 1 (sqrt y)) (* (cbrt x) (cbrt x))) (/ 1 (* (/ (sqrt y) (sqrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt x)) (* (/ 1 (sqrt y)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) x) (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt (/ x y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (* (cbrt x) (cbrt x)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (sqrt y)) (sqrt x) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (sqrt y)) 1 1 x 1 (/ 1 y) (* (/ 1 y) x) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* (/ 1 1) (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ y (* 1 (/ x y))) (/ 1 y) (/ y (/ x y)) (expm1 (/ y (/ x y))) (log1p (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (exp (/ y (/ x y))) (/ (* y (* y y)) (/ (* (* x x) x) (* y (* y y)))) (/ (* y (* y y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y))) (* (/ y (/ x y)) (* (/ y (/ x y)) (/ y (/ x y)))) (sqrt (/ y (/ x y))) (sqrt (/ y (/ x y))) (- y) (- (/ x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (/ (sqrt (/ x y)) (cbrt y))) (/ (cbrt y) (sqrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (cbrt y) (/ (cbrt x) (cbrt y))) (/ (cbrt y) (/ (/ (cbrt x) (/ (sqrt y) (cbrt x))) (cbrt y))) (/ (cbrt y) (/ (cbrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))) (* (/ (cbrt y) (cbrt x)) y) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ (cbrt y) (sqrt x)) (cbrt y)) (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y))) (/ (cbrt y) (/ (sqrt x) (sqrt y))) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (* (/ (cbrt y) (sqrt x)) y) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ x (cbrt y))) (/ (cbrt y) (/ (/ 1 (sqrt y)) (cbrt y))) (* (/ (cbrt y) x) (sqrt y)) (* (cbrt y) (cbrt y)) (* (/ (cbrt y) x) y) (* (cbrt y) (cbrt y)) (* (/ (cbrt y) x) y) (/ (cbrt y) (/ x (cbrt y))) (/ (cbrt y) (/ 1 y)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (sqrt y) (cbrt x)) (cbrt y)) (/ (sqrt y) (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ (sqrt y) (/ (cbrt x) (sqrt y))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) (sqrt x)) (cbrt y)) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (sqrt x)) (/ (sqrt y) (/ (sqrt x) y)) (* (/ (sqrt y) 1) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) x) (cbrt y)) (* (/ (sqrt y) 1) (sqrt y)) (* (/ (sqrt y) x) (sqrt y)) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (/ (sqrt y) (/ 1 y)) (/ (/ 1 (cbrt (/ x y))) (cbrt (/ x y))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ y (cbrt x)) (cbrt y)) (/ 1 (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (* (/ y (cbrt x)) (sqrt y)) (/ 1 (* (cbrt x) (cbrt x))) (* (/ y (cbrt x)) y) (* (/ 1 (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ y (sqrt x)) (cbrt y)) (/ 1 (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (* (/ y (sqrt x)) y) (* (cbrt y) (cbrt y)) (* (/ y x) (cbrt y)) (sqrt y) (* (/ y x) (sqrt y)) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (* (/ y 1) y) (/ 1 (/ x y)) (/ (/ x y) y) (/ (/ y (cbrt (/ x y))) (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ y (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ y (* (cbrt x) (cbrt x))) (* (/ y (sqrt x)) (* (cbrt y) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (sqrt x)) (* (/ y 1) (* (cbrt y) (cbrt y))) (/ y (/ 1 (sqrt y))) y y (/ y x) (/ (/ x y) (cbrt y)) (/ x (* (sqrt y) y)) (/ (/ x y) y) (/ y x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 7.788 * * * [progress]: adding candidates to table 8.985 * * [progress]: iteration 4 / 4 8.985 * * * [progress]: picking best candidate 9.001 * * * * [pick]: Picked # 9.001 * * * [progress]: localizing error 9.011 * * * [progress]: generating rewritten candidates 9.011 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 9.029 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 9.046 * * * [progress]: generating series expansions 9.046 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 9.046 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ y x) y)) into (/ x (pow y 2)) 9.046 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 9.046 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.046 * [taylor]: Taking taylor expansion of x in x 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 1 into 1 9.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.047 * [taylor]: Taking taylor expansion of y in x 9.047 * [backup-simplify]: Simplify y into y 9.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.047 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.047 * [taylor]: Taking taylor expansion of x in y 9.047 * [backup-simplify]: Simplify x into x 9.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.047 * [taylor]: Taking taylor expansion of y in y 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 1 into 1 9.047 * [backup-simplify]: Simplify (* 1 1) into 1 9.047 * [backup-simplify]: Simplify (/ x 1) into x 9.047 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.047 * [taylor]: Taking taylor expansion of x in y 9.047 * [backup-simplify]: Simplify x into x 9.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.047 * [taylor]: Taking taylor expansion of y in y 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 1 into 1 9.047 * [backup-simplify]: Simplify (* 1 1) into 1 9.048 * [backup-simplify]: Simplify (/ x 1) into x 9.048 * [taylor]: Taking taylor expansion of x in x 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 9.049 * [taylor]: Taking taylor expansion of 0 in x 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.050 * [taylor]: Taking taylor expansion of 0 in x 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.052 * [taylor]: Taking taylor expansion of 0 in x 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 9.052 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ (/ 1 y) (/ 1 x)) (/ 1 y))) into (/ (pow y 2) x) 9.052 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 9.052 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.052 * [taylor]: Taking taylor expansion of y in x 9.052 * [backup-simplify]: Simplify y into y 9.052 * [taylor]: Taking taylor expansion of x in x 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 1 into 1 9.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.053 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.053 * [taylor]: Taking taylor expansion of y in y 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [taylor]: Taking taylor expansion of x in y 9.053 * [backup-simplify]: Simplify x into x 9.053 * [backup-simplify]: Simplify (* 1 1) into 1 9.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.053 * [taylor]: Taking taylor expansion of y in y 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [taylor]: Taking taylor expansion of x in y 9.053 * [backup-simplify]: Simplify x into x 9.053 * [backup-simplify]: Simplify (* 1 1) into 1 9.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.054 * [taylor]: Taking taylor expansion of x in x 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.054 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 9.054 * [taylor]: Taking taylor expansion of 0 in x 9.054 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.055 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.055 * [taylor]: Taking taylor expansion of 0 in x 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.056 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.057 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.057 * [taylor]: Taking taylor expansion of 0 in x 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 9.058 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 9.058 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 9.058 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 9.058 * [taylor]: Taking taylor expansion of -1 in x 9.058 * [backup-simplify]: Simplify -1 into -1 9.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.058 * [taylor]: Taking taylor expansion of y in x 9.058 * [backup-simplify]: Simplify y into y 9.058 * [taylor]: Taking taylor expansion of x in x 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.058 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.058 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 9.058 * [taylor]: Taking taylor expansion of -1 in y 9.058 * [backup-simplify]: Simplify -1 into -1 9.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.058 * [taylor]: Taking taylor expansion of y in y 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [taylor]: Taking taylor expansion of x in y 9.058 * [backup-simplify]: Simplify x into x 9.059 * [backup-simplify]: Simplify (* 1 1) into 1 9.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.059 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 9.059 * [taylor]: Taking taylor expansion of -1 in y 9.059 * [backup-simplify]: Simplify -1 into -1 9.059 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.059 * [taylor]: Taking taylor expansion of y in y 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [taylor]: Taking taylor expansion of x in y 9.059 * [backup-simplify]: Simplify x into x 9.059 * [backup-simplify]: Simplify (* 1 1) into 1 9.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.059 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 9.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.059 * [taylor]: Taking taylor expansion of -1 in x 9.059 * [backup-simplify]: Simplify -1 into -1 9.059 * [taylor]: Taking taylor expansion of x in x 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (/ -1 1) into -1 9.060 * [backup-simplify]: Simplify -1 into -1 9.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.060 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 9.060 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 9.060 * [taylor]: Taking taylor expansion of 0 in x 9.060 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.062 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 9.062 * [taylor]: Taking taylor expansion of 0 in x 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.064 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 9.064 * [taylor]: Taking taylor expansion of 0 in x 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 9.065 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 9.065 * [backup-simplify]: Simplify (* (/ y x) y) into (/ (pow y 2) x) 9.065 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 9.065 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.065 * [taylor]: Taking taylor expansion of y in x 9.065 * [backup-simplify]: Simplify y into y 9.065 * [taylor]: Taking taylor expansion of x in x 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 1 into 1 9.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.066 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.066 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.066 * [taylor]: Taking taylor expansion of y in y 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.066 * [taylor]: Taking taylor expansion of x in y 9.066 * [backup-simplify]: Simplify x into x 9.066 * [backup-simplify]: Simplify (* 1 1) into 1 9.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.066 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.066 * [taylor]: Taking taylor expansion of y in y 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.066 * [taylor]: Taking taylor expansion of x in y 9.066 * [backup-simplify]: Simplify x into x 9.066 * [backup-simplify]: Simplify (* 1 1) into 1 9.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.066 * [taylor]: Taking taylor expansion of x in x 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.067 * [backup-simplify]: Simplify (/ 1 1) into 1 9.067 * [backup-simplify]: Simplify 1 into 1 9.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.067 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 9.067 * [taylor]: Taking taylor expansion of 0 in x 9.067 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.068 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.068 * [taylor]: Taking taylor expansion of 0 in x 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.070 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.070 * [taylor]: Taking taylor expansion of 0 in x 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 9.071 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) (/ 1 y)) into (/ x (pow y 2)) 9.071 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 9.071 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.071 * [taylor]: Taking taylor expansion of x in x 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.071 * [taylor]: Taking taylor expansion of y in x 9.071 * [backup-simplify]: Simplify y into y 9.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.071 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.071 * [taylor]: Taking taylor expansion of x in y 9.071 * [backup-simplify]: Simplify x into x 9.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.071 * [taylor]: Taking taylor expansion of y in y 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [backup-simplify]: Simplify (* 1 1) into 1 9.071 * [backup-simplify]: Simplify (/ x 1) into x 9.071 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.071 * [taylor]: Taking taylor expansion of x in y 9.071 * [backup-simplify]: Simplify x into x 9.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.071 * [taylor]: Taking taylor expansion of y in y 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.072 * [backup-simplify]: Simplify (* 1 1) into 1 9.072 * [backup-simplify]: Simplify (/ x 1) into x 9.072 * [taylor]: Taking taylor expansion of x in x 9.072 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify 1 into 1 9.072 * [backup-simplify]: Simplify 1 into 1 9.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 9.073 * [taylor]: Taking taylor expansion of 0 in x 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.074 * [taylor]: Taking taylor expansion of 0 in x 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.076 * [taylor]: Taking taylor expansion of 0 in x 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 9.076 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- y))) into (* -1 (/ x (pow y 2))) 9.076 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 9.076 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 9.076 * [taylor]: Taking taylor expansion of -1 in x 9.076 * [backup-simplify]: Simplify -1 into -1 9.076 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.076 * [taylor]: Taking taylor expansion of x in x 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 1 into 1 9.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.076 * [taylor]: Taking taylor expansion of y in x 9.077 * [backup-simplify]: Simplify y into y 9.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.077 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 9.077 * [taylor]: Taking taylor expansion of -1 in y 9.077 * [backup-simplify]: Simplify -1 into -1 9.077 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.077 * [taylor]: Taking taylor expansion of x in y 9.077 * [backup-simplify]: Simplify x into x 9.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.077 * [taylor]: Taking taylor expansion of y in y 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [backup-simplify]: Simplify (* 1 1) into 1 9.077 * [backup-simplify]: Simplify (/ x 1) into x 9.077 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 9.077 * [taylor]: Taking taylor expansion of -1 in y 9.077 * [backup-simplify]: Simplify -1 into -1 9.077 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.077 * [taylor]: Taking taylor expansion of x in y 9.077 * [backup-simplify]: Simplify x into x 9.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.077 * [taylor]: Taking taylor expansion of y in y 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [backup-simplify]: Simplify (* 1 1) into 1 9.078 * [backup-simplify]: Simplify (/ x 1) into x 9.078 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 9.078 * [taylor]: Taking taylor expansion of (* -1 x) in x 9.078 * [taylor]: Taking taylor expansion of -1 in x 9.078 * [backup-simplify]: Simplify -1 into -1 9.078 * [taylor]: Taking taylor expansion of x in x 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify 1 into 1 9.078 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.078 * [backup-simplify]: Simplify -1 into -1 9.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 9.079 * [taylor]: Taking taylor expansion of 0 in x 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 9.082 * [taylor]: Taking taylor expansion of 0 in x 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.085 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 9.085 * [taylor]: Taking taylor expansion of 0 in x 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 9.085 * * * [progress]: simplifying candidates 9.086 * [simplify]: Simplifying: (expm1 (/ (/ 1 1) (* (/ y x) y))) (log1p (/ (/ 1 1) (* (/ y x) y))) (- (- 0) (+ (- (log y) (log x)) (log y))) (- (- 0) (+ (log (/ y x)) (log y))) (- (- 0) (log (* (/ y x) y))) (- (- (log 1)) (+ (- (log y) (log x)) (log y))) (- (- (log 1)) (+ (log (/ y x)) (log y))) (- (- (log 1)) (log (* (/ y x) y))) (- (- 0 0) (+ (- (log y) (log x)) (log y))) (- (- 0 0) (+ (log (/ y x)) (log y))) (- (- 0 0) (log (* (/ y x) y))) (- (- 0 (log 1)) (+ (- (log y) (log x)) (log y))) (- (- 0 (log 1)) (+ (log (/ y x)) (log y))) (- (- 0 (log 1)) (log (* (/ y x) y))) (- (- (log 1) 0) (+ (- (log y) (log x)) (log y))) (- (- (log 1) 0) (+ (log (/ y x)) (log y))) (- (- (log 1) 0) (log (* (/ y x) y))) (- (- (log 1) (log 1)) (+ (- (log y) (log x)) (log y))) (- (- (log 1) (log 1)) (+ (log (/ y x)) (log y))) (- (- (log 1) (log 1)) (log (* (/ y x) y))) (- (log (/ 1 1)) (+ (- (log y) (log x)) (log y))) (- (log (/ 1 1)) (+ (log (/ y x)) (log y))) (- (log (/ 1 1)) (log (* (/ y x) y))) (log (/ (/ 1 1) (* (/ y x) y))) (exp (/ (/ 1 1) (* (/ y x) y))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* y y) y))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* (/ y x) y) (* (/ y x) y)) (* (/ y x) y))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* y y) y))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* (/ y x) y) (* (/ y x) y)) (* (/ y x) y))) (* (cbrt (/ (/ 1 1) (* (/ y x) y))) (cbrt (/ (/ 1 1) (* (/ y x) y)))) (cbrt (/ (/ 1 1) (* (/ y x) y))) (* (* (/ (/ 1 1) (* (/ y x) y)) (/ (/ 1 1) (* (/ y x) y))) (/ (/ 1 1) (* (/ y x) y))) (sqrt (/ (/ 1 1) (* (/ y x) y))) (sqrt (/ (/ 1 1) (* (/ y x) y))) (- (/ 1 1)) (- (* (/ y x) y)) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ y x)) (/ (cbrt (/ 1 1)) y) (/ (sqrt (/ 1 1)) (/ y x)) (/ (sqrt (/ 1 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ (cbrt 1) (cbrt 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ y x)) (/ (/ (cbrt 1) (sqrt 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ y x)) (/ (/ (cbrt 1) 1) y) (/ (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ (sqrt 1) (cbrt 1)) y) (/ (/ (sqrt 1) (sqrt 1)) (/ y x)) (/ (/ (sqrt 1) (sqrt 1)) y) (/ (/ (sqrt 1) 1) (/ y x)) (/ (/ (sqrt 1) 1) y) (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ 1 (cbrt 1)) y) (/ (/ 1 (sqrt 1)) (/ y x)) (/ (/ 1 (sqrt 1)) y) (/ (/ 1 1) (/ y x)) (/ (/ 1 1) y) (/ 1 (/ y x)) (/ (/ 1 1) y) (/ 1 (/ y x)) (/ (/ 1 1) y) (/ 1 (* (/ y x) y)) (/ (* (/ y x) y) (/ 1 1)) (/ (/ 1 1) (/ y x)) (/ (* (/ y x) y) (cbrt (/ 1 1))) (/ (* (/ y x) y) (sqrt (/ 1 1))) (/ (* (/ y x) y) (/ (cbrt 1) (cbrt 1))) (/ (* (/ y x) y) (/ (cbrt 1) (sqrt 1))) (/ (* (/ y x) y) (/ (cbrt 1) 1)) (/ (* (/ y x) y) (/ (sqrt 1) (cbrt 1))) (/ (* (/ y x) y) (/ (sqrt 1) (sqrt 1))) (/ (* (/ y x) y) (/ (sqrt 1) 1)) (/ (* (/ y x) y) (/ 1 (cbrt 1))) (/ (* (/ y x) y) (/ 1 (sqrt 1))) (/ (* (/ y x) y) (/ 1 1)) (/ (* (/ y x) y) (/ 1 1)) (/ (* (/ y x) y) (/ 1 1)) (/ (/ 1 1) (* y y)) (* (* (/ y x) y) 1) (expm1 (* (/ y x) y)) (log1p (* (/ y x) y)) (* (/ y x) y) (+ (- (log y) (log x)) (log y)) (+ (log (/ y x)) (log y)) (log (* (/ y x) y)) (exp (* (/ y x) y)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* y y) y)) (* (cbrt (* (/ y x) y)) (cbrt (* (/ y x) y))) (cbrt (* (/ y x) y)) (* (* (* (/ y x) y) (* (/ y x) y)) (* (/ y x) y)) (sqrt (* (/ y x) y)) (sqrt (* (/ y x) y)) (* (sqrt (/ y x)) (sqrt y)) (* (sqrt (/ y x)) (sqrt y)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ y x) (* (cbrt y) (cbrt y))) (* (/ y x) (sqrt y)) (* (/ y x) 1) (* (cbrt (/ y x)) y) (* (sqrt (/ y x)) y) (* (/ (cbrt y) (cbrt x)) y) (* (/ (cbrt y) (sqrt x)) y) (* (/ (cbrt y) x) y) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) y) (* (/ (sqrt y) x) y) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) y) (* (/ y x) y) (* (/ y x) y) (* (/ 1 x) y) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 9.088 * * [simplify]: iteration 0: 175 enodes 9.186 * * [simplify]: iteration 1: 534 enodes 9.484 * * [simplify]: iteration 2: 2656 enodes 11.321 * * [simplify]: iteration complete: 5000 enodes 11.321 * * [simplify]: Extracting #0: cost 44 inf + 0 11.327 * * [simplify]: Extracting #1: cost 1586 inf + 1 11.332 * * [simplify]: Extracting #2: cost 1846 inf + 577 11.337 * * [simplify]: Extracting #3: cost 927 inf + 5156 11.346 * * [simplify]: Extracting #4: cost 107 inf + 12674 11.351 * * [simplify]: Extracting #5: cost 0 inf + 13947 11.358 * * [simplify]: Extracting #6: cost 0 inf + 13945 11.369 * [simplify]: Simplified to: (expm1 (/ (/ 1 y) (/ y x))) (log1p (/ (/ 1 y) (/ y x))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (- (log (* y (/ y x)))) (exp (/ (/ 1 y) (/ y x))) (/ (/ 1 (pow y 3)) (pow (/ y x) 3)) (/ (/ 1 (pow y 3)) (pow (/ y x) 3)) (/ 1 (pow (* (/ y x) y) 3)) (/ (/ 1 (pow y 3)) (pow (/ y x) 3)) (/ (/ 1 (pow y 3)) (pow (/ y x) 3)) (/ 1 (pow (* (/ y x) y) 3)) (* (cbrt (/ (/ 1 y) (/ y x))) (cbrt (/ (/ 1 y) (/ y x)))) (cbrt (/ (/ 1 y) (/ y x))) (pow (/ (/ 1 y) (/ y x)) 3) (sqrt (/ (/ 1 y) (/ y x))) (sqrt (/ (/ 1 y) (/ y x))) -1 (/ (- (pow y 2)) x) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 y) (/ (/ 1 y) (/ y x)) (* (/ y x) y) (/ 1 (/ y x)) (* (/ 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 x) y) (* (/ y x) y) (* (/ y x) y) (* (/ y x) y) (/ (/ 1 y) y) (* (/ y x) y) (expm1 (* (/ y x) y)) (log1p (* (/ y x) y)) (* (/ y x) y) (log (* (/ y x) y)) (log (* (/ y x) y)) (log (* (/ y x) y)) (pow (exp y) (/ y x)) (* (pow y 3) (pow (/ y x) 3)) (* (pow y 3) (pow (/ y x) 3)) (* (cbrt (* (/ y x) y)) (cbrt (* (/ y x) y))) (cbrt (* (/ y x) y)) (pow (* (/ y x) y) 3) (sqrt (* (/ y x) y)) (sqrt (* (/ y x) y)) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (/ y (sqrt x)) (/ y (sqrt x)) (/ (* y (* (cbrt y) (cbrt y))) x) (/ (* y (sqrt y)) x) (/ y x) (* y (cbrt (/ y x))) (* (sqrt (/ y x)) y) (/ (* y (cbrt y)) (cbrt x)) (* (/ (cbrt y) (sqrt x)) y) (* y (/ (cbrt y) x)) (* (/ (sqrt y) (cbrt x)) y) (/ (* (sqrt y) y) (sqrt x)) (/ (sqrt y) (/ x y)) (* y (/ y (cbrt x))) (* y (/ y (sqrt x))) (* (/ y x) y) (* (/ y x) y) (/ y x) (pow y 2) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (* (/ y x) y) (* (/ y x) y) (* (/ y x) y) 11.370 * * * [progress]: adding candidates to table 11.622 * [progress]: [Phase 3 of 3] Extracting. 11.622 * * [regime]: Finding splitpoints for: (# # # # # #) 11.624 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 11.624 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 11.664 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 11.729 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # #) 11.767 * * * * [regimes]: Trying to branch on y from (# # # # # #) 11.841 * * * * [regimes]: Trying to branch on x from (# # # # # #) 11.921 * * * [regime]: Found split indices: #