29.157 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (/ (+ x y) (* (* x 2.0) y)) 0.019 * * [simplify]: iteration 0: 7 enodes 0.020 * * [simplify]: iteration 1: 14 enodes 0.021 * * [simplify]: iteration 2: 28 enodes 0.025 * * [simplify]: iteration 3: 43 enodes 0.030 * * [simplify]: iteration 4: 47 enodes 0.034 * * [simplify]: iteration complete: 47 enodes 0.034 * * [simplify]: Extracting #0: cost 1 inf + 0 0.034 * * [simplify]: Extracting #1: cost 15 inf + 0 0.034 * * [simplify]: Extracting #2: cost 11 inf + 45 0.034 * * [simplify]: Extracting #3: cost 2 inf + 746 0.034 * * [simplify]: Extracting #4: cost 0 inf + 1032 0.035 * [simplify]: Simplified to: (/ (+ y x) (* (* 2.0 y) x)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.075 * [backup-simplify]: Simplify (/ (+ x y) (* (* x 2.0) y)) into (* 0.5 (/ (+ x y) (* x y))) 0.075 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.075 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [backup-simplify]: Simplify 0.5 into 0.5 0.075 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.075 * [taylor]: Taking taylor expansion of (+ x y) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (+ x 0) into x 0.076 * [backup-simplify]: Simplify (* x 0) into 0 0.076 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.076 * [backup-simplify]: Simplify (/ x x) into 1 0.076 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.076 * [backup-simplify]: Simplify 0.5 into 0.5 0.076 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of (+ x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (+ 0 y) into y 0.077 * [backup-simplify]: Simplify (* 0 y) into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.077 * [backup-simplify]: Simplify (/ y y) into 1 0.077 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.077 * [taylor]: Taking taylor expansion of 0.5 in x 0.077 * [backup-simplify]: Simplify 0.5 into 0.5 0.077 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.077 * [taylor]: Taking taylor expansion of (+ x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [taylor]: Taking taylor expansion of (* x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (+ 0 y) into y 0.077 * [backup-simplify]: Simplify (* 0 y) into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.077 * [backup-simplify]: Simplify (/ y y) into 1 0.078 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [backup-simplify]: Simplify 0.5 into 0.5 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.079 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 0.079 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.079 * [backup-simplify]: Simplify 0.5 into 0.5 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.080 * [backup-simplify]: Simplify 0.5 into 0.5 0.080 * [backup-simplify]: Simplify 0.5 into 0.5 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 0.089 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) 0.089 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in y 0.089 * [taylor]: Taking taylor expansion of 0.5 in y 0.089 * [backup-simplify]: Simplify 0.5 into 0.5 0.089 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 0.089 * [taylor]: Taking taylor expansion of 0.5 in x 0.089 * [backup-simplify]: Simplify 0.5 into 0.5 0.089 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 0.090 * [taylor]: Taking taylor expansion of 0.5 in x 0.090 * [backup-simplify]: Simplify 0.5 into 0.5 0.090 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [backup-simplify]: Simplify (* 1 y) into y 0.091 * [backup-simplify]: Simplify (* 0 y) into 0 0.091 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 0.092 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.092 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.092 * [taylor]: Taking taylor expansion of 0.5 in y 0.093 * [backup-simplify]: Simplify 0.5 into 0.5 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.095 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 0.095 * [taylor]: Taking taylor expansion of 0.5 in y 0.095 * [backup-simplify]: Simplify 0.5 into 0.5 0.095 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0.5 into 0.5 0.099 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.099 * [backup-simplify]: Simplify 0.5 into 0.5 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 0.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 0.108 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) 0.108 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in y 0.108 * [taylor]: Taking taylor expansion of -0.5 in y 0.108 * [backup-simplify]: Simplify -0.5 into -0.5 0.108 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [backup-simplify]: Simplify x into x 0.108 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [backup-simplify]: Simplify x into x 0.108 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 0.109 * [taylor]: Taking taylor expansion of -0.5 in x 0.109 * [backup-simplify]: Simplify -0.5 into -0.5 0.109 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 0.109 * [taylor]: Taking taylor expansion of -0.5 in x 0.109 * [backup-simplify]: Simplify -0.5 into -0.5 0.109 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (* 1 y) into y 0.110 * [backup-simplify]: Simplify (* 0 y) into 0 0.111 * [backup-simplify]: Simplify (* -0.5 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 0.112 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 0.112 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.112 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.112 * [taylor]: Taking taylor expansion of 0.5 in y 0.112 * [backup-simplify]: Simplify 0.5 into 0.5 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.115 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 0.115 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.115 * [taylor]: Taking taylor expansion of 0.5 in y 0.115 * [backup-simplify]: Simplify 0.5 into 0.5 0.115 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.119 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.120 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.120 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.120 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.124 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 0.131 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 0.132 * * * [progress]: simplifying candidates 0.133 * [simplify]: Simplifying: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 0.134 * * [simplify]: iteration 0: 75 enodes 0.156 * * [simplify]: iteration 1: 222 enodes 0.240 * * [simplify]: iteration 2: 962 enodes 0.686 * * [simplify]: iteration complete: 5001 enodes 0.686 * * [simplify]: Extracting #0: cost 24 inf + 0 0.687 * * [simplify]: Extracting #1: cost 586 inf + 0 0.691 * * [simplify]: Extracting #2: cost 1315 inf + 2477 0.714 * * [simplify]: Extracting #3: cost 1329 inf + 87624 0.790 * * [simplify]: Extracting #4: cost 206 inf + 272415 0.869 * * [simplify]: Extracting #5: cost 5 inf + 317517 0.960 * * [simplify]: Extracting #6: cost 0 inf + 315837 1.050 * * [simplify]: Extracting #7: cost 0 inf + 315157 1.125 * * [simplify]: Extracting #8: cost 0 inf + 315037 1.193 * [simplify]: Simplified to: (expm1 (/ (/ (/ (+ y x) 2.0) x) y)) (log1p (/ (/ (/ (+ y x) 2.0) x) y)) (log (/ (/ (/ (+ y x) 2.0) x) y)) (log (/ (/ (/ (+ y x) 2.0) x) y)) (log (/ (/ (/ (+ y x) 2.0) x) y)) (log (/ (/ (/ (+ y x) 2.0) x) y)) (exp (/ (/ (/ (+ y x) 2.0) x) y)) (* (/ (/ (/ (+ y x) 2.0) x) y) (* (/ (/ (/ (+ y x) 2.0) x) y) (/ (/ (/ (+ y x) 2.0) x) y))) (* (/ (/ (/ (+ y x) 2.0) x) y) (* (/ (/ (/ (+ y x) 2.0) x) y) (/ (/ (/ (+ y x) 2.0) x) y))) (* (/ (/ (/ (+ y x) 2.0) x) y) (* (/ (/ (/ (+ y x) 2.0) x) y) (/ (/ (/ (+ y x) 2.0) x) y))) (* (cbrt (/ (/ (/ (+ y x) 2.0) x) y)) (cbrt (/ (/ (/ (+ y x) 2.0) x) y))) (cbrt (/ (/ (/ (+ y x) 2.0) x) y)) (* (/ (/ (/ (+ y x) 2.0) x) y) (* (/ (/ (/ (+ y x) 2.0) x) y) (/ (/ (/ (+ y x) 2.0) x) y))) (sqrt (/ (/ (/ (+ y x) 2.0) x) y)) (sqrt (/ (/ (/ (+ y x) 2.0) x) y)) (- (+ x y)) (* (- x) (* 2.0 y)) (/ (/ (* (cbrt (+ y x)) (cbrt (+ y x))) x) 2.0) (/ (cbrt (+ y x)) y) (/ (sqrt (+ y x)) (* 2.0 x)) (/ (sqrt (+ y x)) y) (/ (/ 1 2.0) x) (/ (+ y x) y) (/ (/ 1 2.0) x) (/ (+ y x) y) (/ (/ 1 y) (* 2.0 x)) (/ (* 2.0 x) (/ (+ y x) y)) (/ (/ (+ y x) 2.0) x) (* (/ (* 2.0 x) (cbrt (+ y x))) y) (/ (* 2.0 x) (/ (sqrt (+ y x)) y)) (/ (* 2.0 x) (/ (+ y x) y)) (/ (* 2.0 x) (/ (+ y x) y)) (* (* (fma (- y x) y (* x x)) x) (* 2.0 y)) (* (* (- x y) (* x y)) 2.0) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 1.194 * * * [progress]: adding candidates to table 1.281 * * [progress]: iteration 2 / 4 1.281 * * * [progress]: picking best candidate 1.289 * * * * [pick]: Picked # 1.289 * * * [progress]: localizing error 1.296 * * * [progress]: generating rewritten candidates 1.296 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.321 * * * [progress]: generating series expansions 1.321 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.321 * [backup-simplify]: Simplify (+ (/ 0.5 y) (/ 0.5 x)) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 1.321 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) in (y x) around 0 1.321 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) in x 1.321 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.321 * [taylor]: Taking taylor expansion of 0.5 in x 1.321 * [backup-simplify]: Simplify 0.5 into 0.5 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 1.322 * [taylor]: Taking taylor expansion of 0.5 in x 1.322 * [backup-simplify]: Simplify 0.5 into 0.5 1.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.322 * [taylor]: Taking taylor expansion of y in x 1.322 * [backup-simplify]: Simplify y into y 1.322 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.322 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) in y 1.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 1.322 * [taylor]: Taking taylor expansion of 0.5 in y 1.322 * [backup-simplify]: Simplify 0.5 into 0.5 1.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.322 * [taylor]: Taking taylor expansion of x in y 1.322 * [backup-simplify]: Simplify x into x 1.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.322 * [taylor]: Taking taylor expansion of 0.5 in y 1.322 * [backup-simplify]: Simplify 0.5 into 0.5 1.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.322 * [taylor]: Taking taylor expansion of y in y 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [backup-simplify]: Simplify (/ 1 1) into 1 1.322 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) in y 1.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 1.322 * [taylor]: Taking taylor expansion of 0.5 in y 1.322 * [backup-simplify]: Simplify 0.5 into 0.5 1.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.322 * [taylor]: Taking taylor expansion of x in y 1.322 * [backup-simplify]: Simplify x into x 1.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.322 * [taylor]: Taking taylor expansion of 0.5 in y 1.322 * [backup-simplify]: Simplify 0.5 into 0.5 1.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.322 * [taylor]: Taking taylor expansion of y in y 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.323 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 1.323 * [taylor]: Taking taylor expansion of 0.5 in x 1.323 * [backup-simplify]: Simplify 0.5 into 0.5 1.323 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 1.324 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of 0.5 in x 1.324 * [backup-simplify]: Simplify 0.5 into 0.5 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (/ 1 1) into 1 1.325 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.325 * [backup-simplify]: Simplify 0.5 into 0.5 1.325 * [backup-simplify]: Simplify 0.5 into 0.5 1.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [taylor]: Taking taylor expansion of 0 in x 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [taylor]: Taking taylor expansion of 0 in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.332 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [taylor]: Taking taylor expansion of 0 in x 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 y))) (* 0.5 (* (/ 1 x) 1))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 1.334 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 y)) (/ 0.5 (/ 1 x))) into (+ (* 0.5 x) (* 0.5 y)) 1.334 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in (y x) around 0 1.334 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 1.334 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.334 * [taylor]: Taking taylor expansion of 0.5 in x 1.334 * [backup-simplify]: Simplify 0.5 into 0.5 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 1.334 * [taylor]: Taking taylor expansion of 0.5 in x 1.334 * [backup-simplify]: Simplify 0.5 into 0.5 1.334 * [taylor]: Taking taylor expansion of y in x 1.334 * [backup-simplify]: Simplify y into y 1.334 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.334 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.334 * [taylor]: Taking taylor expansion of 0.5 in y 1.334 * [backup-simplify]: Simplify 0.5 into 0.5 1.334 * [taylor]: Taking taylor expansion of x in y 1.334 * [backup-simplify]: Simplify x into x 1.334 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.334 * [taylor]: Taking taylor expansion of 0.5 in y 1.334 * [backup-simplify]: Simplify 0.5 into 0.5 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.334 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.334 * [taylor]: Taking taylor expansion of 0.5 in y 1.334 * [backup-simplify]: Simplify 0.5 into 0.5 1.334 * [taylor]: Taking taylor expansion of x in y 1.334 * [backup-simplify]: Simplify x into x 1.335 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.335 * [taylor]: Taking taylor expansion of 0.5 in y 1.335 * [backup-simplify]: Simplify 0.5 into 0.5 1.335 * [taylor]: Taking taylor expansion of y in y 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.335 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.335 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 1.335 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.335 * [taylor]: Taking taylor expansion of 0.5 in x 1.335 * [backup-simplify]: Simplify 0.5 into 0.5 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 1.337 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.337 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 1.337 * [taylor]: Taking taylor expansion of 0.5 in x 1.337 * [backup-simplify]: Simplify 0.5 into 0.5 1.337 * [backup-simplify]: Simplify 0.5 into 0.5 1.338 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.338 * [backup-simplify]: Simplify 0.5 into 0.5 1.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [taylor]: Taking taylor expansion of 0 in x 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [taylor]: Taking taylor expansion of 0 in x 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 x) 1)) (* 0.5 (* 1 (/ 1 y)))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 1.342 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 (- y))) (/ 0.5 (/ 1 (- x)))) into (- (+ (* 0.5 x) (* 0.5 y))) 1.342 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in (y x) around 0 1.342 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in x 1.342 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 1.342 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.342 * [taylor]: Taking taylor expansion of 0.5 in x 1.342 * [backup-simplify]: Simplify 0.5 into 0.5 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 1.342 * [taylor]: Taking taylor expansion of 0.5 in x 1.342 * [backup-simplify]: Simplify 0.5 into 0.5 1.342 * [taylor]: Taking taylor expansion of y in x 1.342 * [backup-simplify]: Simplify y into y 1.342 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 1.342 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.342 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.342 * [taylor]: Taking taylor expansion of 0.5 in y 1.342 * [backup-simplify]: Simplify 0.5 into 0.5 1.342 * [taylor]: Taking taylor expansion of x in y 1.342 * [backup-simplify]: Simplify x into x 1.342 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.342 * [taylor]: Taking taylor expansion of 0.5 in y 1.342 * [backup-simplify]: Simplify 0.5 into 0.5 1.342 * [taylor]: Taking taylor expansion of y in y 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 1.342 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 1.342 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.342 * [taylor]: Taking taylor expansion of 0.5 in y 1.342 * [backup-simplify]: Simplify 0.5 into 0.5 1.342 * [taylor]: Taking taylor expansion of x in y 1.342 * [backup-simplify]: Simplify x into x 1.342 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.342 * [taylor]: Taking taylor expansion of 0.5 in y 1.342 * [backup-simplify]: Simplify 0.5 into 0.5 1.342 * [taylor]: Taking taylor expansion of y in y 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.343 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 1.343 * [backup-simplify]: Simplify (- (* 0.5 x)) into (- (* 0.5 x)) 1.343 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 1.343 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.343 * [taylor]: Taking taylor expansion of 0.5 in x 1.343 * [backup-simplify]: Simplify 0.5 into 0.5 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 1.345 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.345 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 1.345 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.345 * [taylor]: Taking taylor expansion of (- 0.5) in x 1.345 * [taylor]: Taking taylor expansion of 0.5 in x 1.345 * [backup-simplify]: Simplify 0.5 into 0.5 1.346 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.346 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.347 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.347 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.347 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.348 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 1.348 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (- 0) into 0 1.349 * [taylor]: Taking taylor expansion of 0 in x 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify (- 0) into 0 1.349 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [taylor]: Taking taylor expansion of 0 in x 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- x)) 1)) (* (- 0.5) (* 1 (/ 1 (- y))))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 1.353 * * * [progress]: simplifying candidates 1.353 * [simplify]: Simplifying: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (* (exp (/ 0.5 y)) (exp (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (* (* (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (+ (* 0.5 x) (* y 0.5)) (* y x) (+ (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (+ (* (/ 0.5 y) (/ 0.5 y)) (- (* (/ 0.5 x) (/ 0.5 x)) (* (/ 0.5 y) (/ 0.5 x)))) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ 1 x)) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 1.354 * * [simplify]: iteration 0: 48 enodes 1.362 * * [simplify]: iteration 1: 124 enodes 1.399 * * [simplify]: iteration 2: 493 enodes 1.573 * * [simplify]: iteration complete: 5001 enodes 1.573 * * [simplify]: Extracting #0: cost 18 inf + 0 1.574 * * [simplify]: Extracting #1: cost 291 inf + 0 1.577 * * [simplify]: Extracting #2: cost 1624 inf + 214 1.591 * * [simplify]: Extracting #3: cost 1965 inf + 24277 1.636 * * [simplify]: Extracting #4: cost 526 inf + 232200 1.726 * * [simplify]: Extracting #5: cost 7 inf + 341151 1.789 * * [simplify]: Extracting #6: cost 0 inf + 343378 1.868 * [simplify]: Simplified to: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (* (* (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (* 0.5 (+ x y)) (* x y) (fma (/ 0.5 y) (* (/ 0.5 y) (/ 0.5 y)) (* (* (/ 0.5 x) (/ 0.5 x)) (/ 0.5 x))) (fma (/ 0.5 y) (/ 0.5 y) (* (/ 0.5 x) (- (/ 0.5 x) (/ 0.5 y)))) (* (+ (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) x) (/ (cbrt 0.5) y)) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 1.869 * * * [progress]: adding candidates to table 2.047 * * [progress]: iteration 3 / 4 2.047 * * * [progress]: picking best candidate 2.057 * * * * [pick]: Picked # 2.057 * * * [progress]: localizing error 2.080 * * * [progress]: generating rewritten candidates 2.080 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.135 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.144 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.162 * * * [progress]: generating series expansions 2.162 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.162 * [backup-simplify]: Simplify (* (/ 1 (* x 2.0)) (/ (+ x y) y)) into (* 0.5 (/ (+ x y) (* x y))) 2.162 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 2.162 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 2.162 * [taylor]: Taking taylor expansion of 0.5 in y 2.162 * [backup-simplify]: Simplify 0.5 into 0.5 2.162 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 2.162 * [taylor]: Taking taylor expansion of (+ x y) in y 2.162 * [taylor]: Taking taylor expansion of x in y 2.162 * [backup-simplify]: Simplify x into x 2.162 * [taylor]: Taking taylor expansion of y in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [taylor]: Taking taylor expansion of (* x y) in y 2.162 * [taylor]: Taking taylor expansion of x in y 2.162 * [backup-simplify]: Simplify x into x 2.162 * [taylor]: Taking taylor expansion of y in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (+ x 0) into x 2.162 * [backup-simplify]: Simplify (* x 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.163 * [backup-simplify]: Simplify (/ x x) into 1 2.163 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 2.163 * [taylor]: Taking taylor expansion of 0.5 in x 2.163 * [backup-simplify]: Simplify 0.5 into 0.5 2.163 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 2.163 * [taylor]: Taking taylor expansion of (+ x y) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of y in x 2.163 * [backup-simplify]: Simplify y into y 2.163 * [taylor]: Taking taylor expansion of (* x y) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of y in x 2.163 * [backup-simplify]: Simplify y into y 2.163 * [backup-simplify]: Simplify (+ 0 y) into y 2.163 * [backup-simplify]: Simplify (* 0 y) into 0 2.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.163 * [backup-simplify]: Simplify (/ y y) into 1 2.163 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 2.164 * [taylor]: Taking taylor expansion of 0.5 in x 2.164 * [backup-simplify]: Simplify 0.5 into 0.5 2.164 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 2.164 * [taylor]: Taking taylor expansion of (+ x y) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [taylor]: Taking taylor expansion of (* x y) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [backup-simplify]: Simplify (+ 0 y) into y 2.164 * [backup-simplify]: Simplify (* 0 y) into 0 2.164 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.164 * [backup-simplify]: Simplify (/ y y) into 1 2.164 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.165 * [taylor]: Taking taylor expansion of 0.5 in y 2.165 * [backup-simplify]: Simplify 0.5 into 0.5 2.165 * [backup-simplify]: Simplify (+ 1 0) into 1 2.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.165 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 2.166 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 2.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.166 * [taylor]: Taking taylor expansion of 0.5 in y 2.166 * [backup-simplify]: Simplify 0.5 into 0.5 2.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.166 * [taylor]: Taking taylor expansion of y in y 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.166 * [backup-simplify]: Simplify 0.5 into 0.5 2.166 * [backup-simplify]: Simplify 0.5 into 0.5 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.168 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 2.168 * [taylor]: Taking taylor expansion of 0 in y 2.168 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in y 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 2.175 * [taylor]: Taking taylor expansion of 0 in y 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 2.176 * [backup-simplify]: Simplify (* (/ 1 (* (/ 1 x) 2.0)) (/ (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) 2.176 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in (x y) around 0 2.176 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in y 2.176 * [taylor]: Taking taylor expansion of 0.5 in y 2.176 * [backup-simplify]: Simplify 0.5 into 0.5 2.176 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in y 2.176 * [taylor]: Taking taylor expansion of x in y 2.176 * [backup-simplify]: Simplify x into x 2.176 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 2.176 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.176 * [taylor]: Taking taylor expansion of x in y 2.176 * [backup-simplify]: Simplify x into x 2.176 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.176 * [taylor]: Taking taylor expansion of y in y 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (/ 1 1) into 1 2.176 * [taylor]: Taking taylor expansion of y in y 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 2.177 * [taylor]: Taking taylor expansion of 0.5 in x 2.177 * [backup-simplify]: Simplify 0.5 into 0.5 2.177 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.177 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (/ 1 1) into 1 2.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.177 * [taylor]: Taking taylor expansion of y in x 2.177 * [backup-simplify]: Simplify y into y 2.177 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.177 * [taylor]: Taking taylor expansion of y in x 2.177 * [backup-simplify]: Simplify y into y 2.177 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 2.177 * [taylor]: Taking taylor expansion of 0.5 in x 2.177 * [backup-simplify]: Simplify 0.5 into 0.5 2.177 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.178 * [taylor]: Taking taylor expansion of y in x 2.178 * [backup-simplify]: Simplify y into y 2.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.178 * [taylor]: Taking taylor expansion of y in x 2.178 * [backup-simplify]: Simplify y into y 2.179 * [backup-simplify]: Simplify (+ 1 0) into 1 2.179 * [backup-simplify]: Simplify (* 1 y) into y 2.179 * [backup-simplify]: Simplify (* 0 y) into 0 2.179 * [backup-simplify]: Simplify (* 0.5 0) into 0 2.179 * [taylor]: Taking taylor expansion of 0 in y 2.179 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 2.181 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.181 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 2.181 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 2.181 * [taylor]: Taking taylor expansion of 0.5 in y 2.181 * [backup-simplify]: Simplify 0.5 into 0.5 2.181 * [taylor]: Taking taylor expansion of y in y 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 2.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.185 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 2.185 * [taylor]: Taking taylor expansion of 0.5 in y 2.185 * [backup-simplify]: Simplify 0.5 into 0.5 2.185 * [backup-simplify]: Simplify (* 0.5 0) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 2.190 * [taylor]: Taking taylor expansion of 0 in y 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 0.5 into 0.5 2.192 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 2.192 * [backup-simplify]: Simplify 0.5 into 0.5 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 2.197 * [taylor]: Taking taylor expansion of 0 in y 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in y 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 2.209 * [backup-simplify]: Simplify (* (/ 1 (* (/ 1 (- x)) 2.0)) (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) 2.209 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in (x y) around 0 2.209 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in y 2.209 * [taylor]: Taking taylor expansion of -0.5 in y 2.209 * [backup-simplify]: Simplify -0.5 into -0.5 2.209 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in y 2.209 * [taylor]: Taking taylor expansion of x in y 2.209 * [backup-simplify]: Simplify x into x 2.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.209 * [taylor]: Taking taylor expansion of x in y 2.209 * [backup-simplify]: Simplify x into x 2.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.209 * [taylor]: Taking taylor expansion of y in y 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [taylor]: Taking taylor expansion of y in y 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 2.210 * [taylor]: Taking taylor expansion of -0.5 in x 2.210 * [backup-simplify]: Simplify -0.5 into -0.5 2.210 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.210 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify (/ 1 1) into 1 2.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.211 * [taylor]: Taking taylor expansion of y in x 2.211 * [backup-simplify]: Simplify y into y 2.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.211 * [taylor]: Taking taylor expansion of y in x 2.211 * [backup-simplify]: Simplify y into y 2.211 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 2.211 * [taylor]: Taking taylor expansion of -0.5 in x 2.211 * [backup-simplify]: Simplify -0.5 into -0.5 2.211 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.211 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.212 * [backup-simplify]: Simplify (/ 1 1) into 1 2.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.212 * [taylor]: Taking taylor expansion of y in x 2.212 * [backup-simplify]: Simplify y into y 2.212 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.212 * [taylor]: Taking taylor expansion of y in x 2.212 * [backup-simplify]: Simplify y into y 2.212 * [backup-simplify]: Simplify (+ 1 0) into 1 2.212 * [backup-simplify]: Simplify (* 1 y) into y 2.212 * [backup-simplify]: Simplify (* 0 y) into 0 2.213 * [backup-simplify]: Simplify (* -0.5 0) into 0 2.213 * [taylor]: Taking taylor expansion of 0 in y 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 2.215 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.215 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 2.215 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 2.215 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 2.215 * [taylor]: Taking taylor expansion of 0.5 in y 2.215 * [backup-simplify]: Simplify 0.5 into 0.5 2.215 * [taylor]: Taking taylor expansion of y in y 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.219 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 2.219 * [taylor]: Taking taylor expansion of (- 0.5) in y 2.219 * [taylor]: Taking taylor expansion of 0.5 in y 2.219 * [backup-simplify]: Simplify 0.5 into 0.5 2.219 * [backup-simplify]: Simplify (* 0.5 0) into 0 2.220 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 2.224 * [taylor]: Taking taylor expansion of 0 in y 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.225 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.227 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 2.227 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.227 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.233 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 2.233 * [taylor]: Taking taylor expansion of 0 in y 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 2.234 * [backup-simplify]: Simplify (- 0) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 2.241 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 2.241 * [taylor]: Taking taylor expansion of 0 in y 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 2.242 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.242 * [backup-simplify]: Simplify (/ 1 (* x 2.0)) into (/ 0.5 x) 2.242 * [approximate]: Taking taylor expansion of (/ 0.5 x) in (x) around 0 2.242 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.242 * [taylor]: Taking taylor expansion of 0.5 in x 2.242 * [backup-simplify]: Simplify 0.5 into 0.5 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.243 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 2.243 * [taylor]: Taking taylor expansion of 0.5 in x 2.243 * [backup-simplify]: Simplify 0.5 into 0.5 2.243 * [taylor]: Taking taylor expansion of x in x 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.243 * [backup-simplify]: Simplify 0.5 into 0.5 2.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.249 * [backup-simplify]: Simplify (/ 1 (* (/ 1 x) 2.0)) into (* 0.5 x) 2.249 * [approximate]: Taking taylor expansion of (* 0.5 x) in (x) around 0 2.249 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.249 * [taylor]: Taking taylor expansion of 0.5 in x 2.249 * [backup-simplify]: Simplify 0.5 into 0.5 2.249 * [taylor]: Taking taylor expansion of x in x 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 2.250 * [taylor]: Taking taylor expansion of 0.5 in x 2.250 * [backup-simplify]: Simplify 0.5 into 0.5 2.250 * [taylor]: Taking taylor expansion of x in x 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* 0.5 0) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 2.251 * [backup-simplify]: Simplify 0.5 into 0.5 2.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.259 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- x)) 2.0)) into (* -0.5 x) 2.259 * [approximate]: Taking taylor expansion of (* -0.5 x) in (x) around 0 2.259 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 2.259 * [taylor]: Taking taylor expansion of -0.5 in x 2.259 * [backup-simplify]: Simplify -0.5 into -0.5 2.259 * [taylor]: Taking taylor expansion of x in x 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.259 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 2.259 * [taylor]: Taking taylor expansion of -0.5 in x 2.259 * [backup-simplify]: Simplify -0.5 into -0.5 2.259 * [taylor]: Taking taylor expansion of x in x 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (* -0.5 0) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (+ (* -0.5 1) (* 0 0)) into (- 0.5) 2.262 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.263 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (* 0 0))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (* (- 0.5) (/ 1 (- x))) into (/ 0.5 x) 2.270 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.270 * [backup-simplify]: Simplify (/ (+ x y) y) into (/ (+ x y) y) 2.270 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 2.270 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 2.270 * [taylor]: Taking taylor expansion of (+ x y) in y 2.270 * [taylor]: Taking taylor expansion of x in y 2.270 * [backup-simplify]: Simplify x into x 2.270 * [taylor]: Taking taylor expansion of y in y 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [taylor]: Taking taylor expansion of y in y 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (+ x 0) into x 2.270 * [backup-simplify]: Simplify (/ x 1) into x 2.270 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 2.270 * [taylor]: Taking taylor expansion of (+ x y) in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.271 * [taylor]: Taking taylor expansion of y in x 2.271 * [backup-simplify]: Simplify y into y 2.271 * [taylor]: Taking taylor expansion of y in x 2.271 * [backup-simplify]: Simplify y into y 2.271 * [backup-simplify]: Simplify (+ 0 y) into y 2.271 * [backup-simplify]: Simplify (/ y y) into 1 2.271 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 2.271 * [taylor]: Taking taylor expansion of (+ x y) in x 2.271 * [taylor]: Taking taylor expansion of x in x 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [taylor]: Taking taylor expansion of y in x 2.271 * [backup-simplify]: Simplify y into y 2.271 * [taylor]: Taking taylor expansion of y in x 2.271 * [backup-simplify]: Simplify y into y 2.271 * [backup-simplify]: Simplify (+ 0 y) into y 2.271 * [backup-simplify]: Simplify (/ y y) into 1 2.271 * [taylor]: Taking taylor expansion of 1 in y 2.271 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (+ 1 0) into 1 2.272 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 2.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.272 * [taylor]: Taking taylor expansion of y in y 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 2.273 * [taylor]: Taking taylor expansion of 0 in y 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.274 * [taylor]: Taking taylor expansion of 0 in y 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.276 * [taylor]: Taking taylor expansion of 0 in y 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 y) x))) into (+ (/ x y) 1) 2.276 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (* (+ (/ 1 x) (/ 1 y)) y) 2.276 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in (x y) around 0 2.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.276 * [taylor]: Taking taylor expansion of x in y 2.276 * [backup-simplify]: Simplify x into x 2.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.276 * [taylor]: Taking taylor expansion of y in y 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [taylor]: Taking taylor expansion of y in y 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.277 * [taylor]: Taking taylor expansion of y in x 2.277 * [backup-simplify]: Simplify y into y 2.277 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.278 * [taylor]: Taking taylor expansion of y in x 2.278 * [backup-simplify]: Simplify y into y 2.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.278 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (/ 1 1) into 1 2.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.278 * [taylor]: Taking taylor expansion of y in x 2.278 * [backup-simplify]: Simplify y into y 2.278 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.278 * [taylor]: Taking taylor expansion of y in x 2.278 * [backup-simplify]: Simplify y into y 2.279 * [backup-simplify]: Simplify (+ 1 0) into 1 2.279 * [backup-simplify]: Simplify (* 1 y) into y 2.279 * [taylor]: Taking taylor expansion of y in y 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 2.280 * [taylor]: Taking taylor expansion of 1 in y 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 2.282 * [taylor]: Taking taylor expansion of 0 in y 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 2.284 * [taylor]: Taking taylor expansion of 0 in y 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.286 * [backup-simplify]: Simplify (+ 0 0) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.287 * [taylor]: Taking taylor expansion of 0 in y 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 y) (/ 1 (/ 1 x)))) 1) into (+ (/ x y) 1) 2.287 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* (+ (/ 1 x) (/ 1 y)) y) 2.287 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in (x y) around 0 2.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 2.288 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.288 * [taylor]: Taking taylor expansion of x in y 2.288 * [backup-simplify]: Simplify x into x 2.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.288 * [taylor]: Taking taylor expansion of y in y 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (/ 1 1) into 1 2.288 * [taylor]: Taking taylor expansion of y in y 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.288 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (/ 1 1) into 1 2.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.289 * [taylor]: Taking taylor expansion of y in x 2.289 * [backup-simplify]: Simplify y into y 2.289 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.289 * [taylor]: Taking taylor expansion of y in x 2.289 * [backup-simplify]: Simplify y into y 2.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 2.289 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (/ 1 1) into 1 2.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.289 * [taylor]: Taking taylor expansion of y in x 2.289 * [backup-simplify]: Simplify y into y 2.290 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.290 * [taylor]: Taking taylor expansion of y in x 2.290 * [backup-simplify]: Simplify y into y 2.290 * [backup-simplify]: Simplify (+ 1 0) into 1 2.290 * [backup-simplify]: Simplify (* 1 y) into y 2.290 * [taylor]: Taking taylor expansion of y in y 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.291 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 2.291 * [taylor]: Taking taylor expansion of 1 in y 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.293 * [backup-simplify]: Simplify (+ 0 0) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 2.293 * [taylor]: Taking taylor expansion of 0 in y 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 2.296 * [taylor]: Taking taylor expansion of 0 in y 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.297 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.299 * [taylor]: Taking taylor expansion of 0 in y 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1) into (+ (/ x y) 1) 2.299 * * * [progress]: simplifying candidates 2.302 * [simplify]: Simplifying: (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (+ (- (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- 0 (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- 0 (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (log (* x 2.0))) (log (/ (+ x y) y))) (+ (log (/ 1 (* x 2.0))) (- (log (+ x y)) (log y))) (+ (log (/ 1 (* x 2.0))) (log (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* 1 (+ x y)) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y)))) (* (/ 1 (* x 2.0)) (sqrt (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (+ x y)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (/ (cbrt 1) 2.0) (/ (+ x y) y)) (* (/ (sqrt 1) 2.0) (/ (+ x y) y)) (* (/ 1 2.0) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (+ x y)) (* 1 (/ (+ x y) y)) (expm1 (/ 1 (* x 2.0))) (log1p (/ 1 (* x 2.0))) (- 1) (- 1) (- (+ (log x) (log 2.0))) (- (log (* x 2.0))) (- 0 (+ (log x) (log 2.0))) (- 0 (log (* x 2.0))) (- (log 1) (+ (log x) (log 2.0))) (- (log 1) (log (* x 2.0))) (log (/ 1 (* x 2.0))) (exp (/ 1 (* x 2.0))) (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (cbrt (/ 1 (* x 2.0))) (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))) (- 1) (- (* x 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) 2.0) (/ (sqrt 1) x) (/ (sqrt 1) 2.0) (/ 1 x) (/ 1 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) 1) (/ 1 x) (/ (* x 2.0) (cbrt 1)) (/ (* x 2.0) (sqrt 1)) (/ (* x 2.0) 1) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (- (log (+ x y)) (log y)) (log (/ (+ x y) y)) (exp (/ (+ x 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) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 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) (/ 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 (+ x y)) (/ y (+ x y)) (* y (+ (* x x) (- (* y y) (* x y)))) (* y (- x y)) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (/ 0.5 x) (/ 0.5 x) (/ 0.5 x) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 2.305 * * [simplify]: iteration 0: 167 enodes 2.366 * * [simplify]: iteration 1: 498 enodes 2.756 * * [simplify]: iteration 2: 3572 enodes 3.821 * * [simplify]: iteration complete: 5000 enodes 3.821 * * [simplify]: Extracting #0: cost 80 inf + 0 3.823 * * [simplify]: Extracting #1: cost 1128 inf + 2 3.829 * * [simplify]: Extracting #2: cost 1796 inf + 9149 3.847 * * [simplify]: Extracting #3: cost 1318 inf + 74549 3.883 * * [simplify]: Extracting #4: cost 374 inf + 268594 3.942 * * [simplify]: Extracting #5: cost 18 inf + 327653 4.022 * * [simplify]: Extracting #6: cost 0 inf + 329066 4.085 * [simplify]: Simplified to: (expm1 (/ (/ (/ (+ x y) 2.0) x) y)) (log1p (/ (/ (/ (+ x y) 2.0) x) y)) (/ (/ (/ (+ x y) 2.0) x) y) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (log (/ (/ (/ (+ x y) 2.0) x) y)) (exp (/ (/ (/ (+ x y) 2.0) x) y)) (/ (* (/ (+ x y) y) (* (/ (+ x y) y) (/ (+ x y) y))) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))) (* (/ (/ (/ (+ x y) 2.0) x) y) (* (/ (/ (/ (+ x y) 2.0) x) y) (/ (/ (/ (+ x y) 2.0) x) y))) (/ (* (/ (+ x y) y) (* (/ (+ x y) y) (/ (+ x y) y))) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))) (* (/ (/ (/ (+ x y) 2.0) x) y) (* (/ (/ (/ (+ x y) 2.0) x) y) (/ (/ (/ (+ x y) 2.0) x) y))) (/ (* (/ (+ x y) y) (* (/ (+ x y) y) (/ (+ x y) y))) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))) (* (/ (/ (/ (+ x y) 2.0) x) y) (* (/ (/ (/ (+ x y) 2.0) x) y) (/ (/ (/ (+ x y) 2.0) x) y))) (* (cbrt (/ (/ (/ (+ x y) 2.0) x) y)) (cbrt (/ (/ (/ (+ x y) 2.0) x) y))) (cbrt (/ (/ (/ (+ x y) 2.0) x) y)) (* (/ (/ (/ (+ x y) 2.0) x) y) (* (/ (/ (/ (+ x y) 2.0) x) y) (/ (/ (/ (+ x y) 2.0) x) y))) (sqrt (/ (/ (/ (+ x y) 2.0) x) y)) (sqrt (/ (/ (/ (+ x y) 2.0) x) y)) (+ x y) (* (* 2.0 x) y) (* (sqrt (/ (+ x y) y)) (sqrt (/ 1 (* 2.0 x)))) (* (sqrt (/ (+ x y) y)) (sqrt (/ 1 (* 2.0 x)))) (* (sqrt (/ 1 (* 2.0 x))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* 2.0 x))) (/ (sqrt (+ x y)) (sqrt y))) (/ (/ (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) x) 2.0) (/ (/ (sqrt (/ (+ x y) y)) 2.0) x) (/ (/ (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x y)) (cbrt y))) 2.0) x) (/ (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2.0) x) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2.0) x) (/ (/ (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) x) 2.0) (/ (/ (sqrt (+ x y)) (sqrt y)) (* 2.0 x)) (/ (sqrt (+ x y)) (* 2.0 x)) (/ (/ (/ 1 (* 2.0 x)) (cbrt y)) (cbrt y)) (/ (/ 1 (* 2.0 x)) (sqrt y)) (/ 1 (* 2.0 x)) (/ (/ (/ 1 (* 2.0 x)) (cbrt y)) (cbrt y)) (/ (/ 1 (* 2.0 x)) (sqrt y)) (/ 1 (* 2.0 x)) (/ 1 (* 2.0 x)) (/ (/ (+ x y) 2.0) x) (/ (* (+ x y) (cbrt (/ 1 (* 2.0 x)))) y) (* (/ (+ x y) y) (sqrt (/ 1 (* 2.0 x)))) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (/ (+ x y) 2.0) x) y) (/ (/ (/ (+ x y) 2.0) x) y) (/ (/ (+ x y) 2.0) x) (/ (+ x y) y) (expm1 (/ 1 (* 2.0 x))) (log1p (/ 1 (* 2.0 x))) -1 -1 (- (log (* 2.0 x))) (- (log (* 2.0 x))) (- (log (* 2.0 x))) (- (log (* 2.0 x))) (- (log (* 2.0 x))) (- (log (* 2.0 x))) (- (log (* 2.0 x))) (exp (/ 1 (* 2.0 x))) (/ (/ 1 (* 2.0 x)) (* (* 2.0 x) (* 2.0 x))) (/ (/ 1 (* 2.0 x)) (* (* 2.0 x) (* 2.0 x))) (* (cbrt (/ 1 (* 2.0 x))) (cbrt (/ 1 (* 2.0 x)))) (cbrt (/ 1 (* 2.0 x))) (/ (/ 1 (* 2.0 x)) (* (* 2.0 x) (* 2.0 x))) (sqrt (/ 1 (* 2.0 x))) (sqrt (/ 1 (* 2.0 x))) -1 (* 2.0 (- x)) (/ 1 x) (/ 1 2.0) (/ 1 x) (/ 1 2.0) (/ 1 x) (/ 1 2.0) (/ 1 (* 2.0 x)) (* 2.0 x) (/ 1 x) (* 2.0 x) (* 2.0 x) (* 2.0 x) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (log (/ (+ x y) y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (* (/ (+ x y) y) (* (/ (+ x y) y) (/ (+ x y) y))) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (/ (+ x y) y) (* (/ (+ x y) y) (/ (+ x y) y))) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x 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))) (/ (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) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (/ (+ x y) (cbrt y)) (cbrt y)) (/ (+ x y) (sqrt y)) (+ x y) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (fma y (- y x) (* x x))) (* y (- x y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (/ 0.5 x) (/ 0.5 x) (/ 0.5 x) (+ 1 (/ x y)) (+ 1 (/ x y)) (+ 1 (/ x y)) 4.091 * * * [progress]: adding candidates to table 4.487 * * [progress]: iteration 4 / 4 4.487 * * * [progress]: picking best candidate 4.491 * * * * [pick]: Picked # 4.491 * * * [progress]: localizing error 4.508 * * * [progress]: generating rewritten candidates 4.509 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.570 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.619 * * * [progress]: generating series expansions 4.619 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.619 * [backup-simplify]: Simplify (* (/ (/ (+ x y) 2.0) x) (/ 1 y)) into (* 0.5 (/ (+ x y) (* x y))) 4.619 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 4.619 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 4.619 * [taylor]: Taking taylor expansion of 0.5 in y 4.619 * [backup-simplify]: Simplify 0.5 into 0.5 4.619 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 4.619 * [taylor]: Taking taylor expansion of (+ x y) in y 4.619 * [taylor]: Taking taylor expansion of x in y 4.619 * [backup-simplify]: Simplify x into x 4.619 * [taylor]: Taking taylor expansion of y in y 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.619 * [taylor]: Taking taylor expansion of (* x y) in y 4.619 * [taylor]: Taking taylor expansion of x in y 4.619 * [backup-simplify]: Simplify x into x 4.619 * [taylor]: Taking taylor expansion of y in y 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.620 * [backup-simplify]: Simplify (+ x 0) into x 4.620 * [backup-simplify]: Simplify (* x 0) into 0 4.620 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.620 * [backup-simplify]: Simplify (/ x x) into 1 4.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 4.620 * [taylor]: Taking taylor expansion of 0.5 in x 4.620 * [backup-simplify]: Simplify 0.5 into 0.5 4.620 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 4.620 * [taylor]: Taking taylor expansion of (+ x y) in x 4.620 * [taylor]: Taking taylor expansion of x in x 4.620 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [taylor]: Taking taylor expansion of y in x 4.621 * [backup-simplify]: Simplify y into y 4.621 * [taylor]: Taking taylor expansion of (* x y) in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [taylor]: Taking taylor expansion of y in x 4.621 * [backup-simplify]: Simplify y into y 4.621 * [backup-simplify]: Simplify (+ 0 y) into y 4.621 * [backup-simplify]: Simplify (* 0 y) into 0 4.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.621 * [backup-simplify]: Simplify (/ y y) into 1 4.621 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 4.621 * [taylor]: Taking taylor expansion of 0.5 in x 4.621 * [backup-simplify]: Simplify 0.5 into 0.5 4.621 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 4.621 * [taylor]: Taking taylor expansion of (+ x y) in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.622 * [taylor]: Taking taylor expansion of y in x 4.622 * [backup-simplify]: Simplify y into y 4.622 * [taylor]: Taking taylor expansion of (* x y) in x 4.622 * [taylor]: Taking taylor expansion of x in x 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.622 * [taylor]: Taking taylor expansion of y in x 4.622 * [backup-simplify]: Simplify y into y 4.622 * [backup-simplify]: Simplify (+ 0 y) into y 4.622 * [backup-simplify]: Simplify (* 0 y) into 0 4.622 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.622 * [backup-simplify]: Simplify (/ y y) into 1 4.623 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.623 * [taylor]: Taking taylor expansion of 0.5 in y 4.623 * [backup-simplify]: Simplify 0.5 into 0.5 4.623 * [backup-simplify]: Simplify (+ 1 0) into 1 4.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.624 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 4.624 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 4.624 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.624 * [taylor]: Taking taylor expansion of 0.5 in y 4.624 * [backup-simplify]: Simplify 0.5 into 0.5 4.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.624 * [taylor]: Taking taylor expansion of y in y 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.625 * [backup-simplify]: Simplify 0.5 into 0.5 4.625 * [backup-simplify]: Simplify 0.5 into 0.5 4.626 * [backup-simplify]: Simplify (+ 0 0) into 0 4.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.627 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 4.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 4.628 * [taylor]: Taking taylor expansion of 0 in y 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.631 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.632 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.632 * [taylor]: Taking taylor expansion of 0 in y 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 4.636 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.637 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 4.637 * [taylor]: Taking taylor expansion of 0 in y 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 4.638 * [backup-simplify]: Simplify (* (/ (/ (+ (/ 1 x) (/ 1 y)) 2.0) (/ 1 x)) (/ 1 (/ 1 y))) into (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) 4.638 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in (x y) around 0 4.638 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in y 4.638 * [taylor]: Taking taylor expansion of 0.5 in y 4.638 * [backup-simplify]: Simplify 0.5 into 0.5 4.638 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in y 4.638 * [taylor]: Taking taylor expansion of x in y 4.638 * [backup-simplify]: Simplify x into x 4.638 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 4.638 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.638 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.638 * [taylor]: Taking taylor expansion of x in y 4.638 * [backup-simplify]: Simplify x into x 4.638 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.638 * [taylor]: Taking taylor expansion of y in y 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [taylor]: Taking taylor expansion of y in y 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.639 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 4.639 * [taylor]: Taking taylor expansion of 0.5 in x 4.639 * [backup-simplify]: Simplify 0.5 into 0.5 4.639 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.639 * [taylor]: Taking taylor expansion of x in x 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.639 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.639 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.639 * [taylor]: Taking taylor expansion of x in x 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.639 * [taylor]: Taking taylor expansion of y in x 4.640 * [backup-simplify]: Simplify y into y 4.640 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.640 * [taylor]: Taking taylor expansion of y in x 4.640 * [backup-simplify]: Simplify y into y 4.640 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 4.640 * [taylor]: Taking taylor expansion of 0.5 in x 4.640 * [backup-simplify]: Simplify 0.5 into 0.5 4.640 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.640 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [backup-simplify]: Simplify (/ 1 1) into 1 4.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.640 * [taylor]: Taking taylor expansion of y in x 4.640 * [backup-simplify]: Simplify y into y 4.640 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.640 * [taylor]: Taking taylor expansion of y in x 4.640 * [backup-simplify]: Simplify y into y 4.641 * [backup-simplify]: Simplify (+ 1 0) into 1 4.641 * [backup-simplify]: Simplify (* 1 y) into y 4.641 * [backup-simplify]: Simplify (* 0 y) into 0 4.641 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.641 * [taylor]: Taking taylor expansion of 0 in y 4.641 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.643 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 4.643 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 4.643 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 4.643 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.643 * [taylor]: Taking taylor expansion of 0.5 in y 4.643 * [backup-simplify]: Simplify 0.5 into 0.5 4.643 * [taylor]: Taking taylor expansion of y in y 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 4.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 4.647 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 4.647 * [taylor]: Taking taylor expansion of 0.5 in y 4.647 * [backup-simplify]: Simplify 0.5 into 0.5 4.647 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.648 * [backup-simplify]: Simplify (+ 0 0) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 4.651 * [taylor]: Taking taylor expansion of 0 in y 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 0.5 into 0.5 4.653 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.653 * [backup-simplify]: Simplify 0.5 into 0.5 4.653 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 4.658 * [taylor]: Taking taylor expansion of 0 in y 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.661 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 4.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 4.666 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 4.666 * [taylor]: Taking taylor expansion of 0 in y 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 4.667 * [backup-simplify]: Simplify (* (/ (/ (+ (/ 1 (- x)) (/ 1 (- y))) 2.0) (/ 1 (- x))) (/ 1 (/ 1 (- y)))) into (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) 4.667 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in (x y) around 0 4.667 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in y 4.667 * [taylor]: Taking taylor expansion of -0.5 in y 4.667 * [backup-simplify]: Simplify -0.5 into -0.5 4.667 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in y 4.667 * [taylor]: Taking taylor expansion of x in y 4.667 * [backup-simplify]: Simplify x into x 4.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 4.667 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.667 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.667 * [taylor]: Taking taylor expansion of x in y 4.667 * [backup-simplify]: Simplify x into x 4.667 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.667 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.667 * [taylor]: Taking taylor expansion of y in y 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (/ 1 1) into 1 4.668 * [taylor]: Taking taylor expansion of y in y 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 4.668 * [taylor]: Taking taylor expansion of -0.5 in x 4.668 * [backup-simplify]: Simplify -0.5 into -0.5 4.668 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.668 * [taylor]: Taking taylor expansion of x in x 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.668 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.668 * [taylor]: Taking taylor expansion of x in x 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (/ 1 1) into 1 4.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.668 * [taylor]: Taking taylor expansion of y in x 4.669 * [backup-simplify]: Simplify y into y 4.669 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.669 * [taylor]: Taking taylor expansion of y in x 4.669 * [backup-simplify]: Simplify y into y 4.669 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* (+ (/ 1 x) (/ 1 y)) y))) in x 4.669 * [taylor]: Taking taylor expansion of -0.5 in x 4.669 * [backup-simplify]: Simplify -0.5 into -0.5 4.669 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 x) (/ 1 y)) y)) in x 4.669 * [taylor]: Taking taylor expansion of x in x 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 4.669 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.669 * [taylor]: Taking taylor expansion of x in x 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (/ 1 1) into 1 4.669 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.669 * [taylor]: Taking taylor expansion of y in x 4.669 * [backup-simplify]: Simplify y into y 4.669 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.669 * [taylor]: Taking taylor expansion of y in x 4.669 * [backup-simplify]: Simplify y into y 4.670 * [backup-simplify]: Simplify (+ 1 0) into 1 4.670 * [backup-simplify]: Simplify (* 1 y) into y 4.670 * [backup-simplify]: Simplify (* 0 y) into 0 4.670 * [backup-simplify]: Simplify (* -0.5 0) into 0 4.670 * [taylor]: Taking taylor expansion of 0 in y 4.670 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.672 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 4.672 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 4.672 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 4.672 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 4.672 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.672 * [taylor]: Taking taylor expansion of 0.5 in y 4.672 * [backup-simplify]: Simplify 0.5 into 0.5 4.673 * [taylor]: Taking taylor expansion of y in y 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 4.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 4.676 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 4.676 * [taylor]: Taking taylor expansion of (- 0.5) in y 4.676 * [taylor]: Taking taylor expansion of 0.5 in y 4.676 * [backup-simplify]: Simplify 0.5 into 0.5 4.676 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.676 * [backup-simplify]: Simplify (- 0) into 0 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 4.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 4.681 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 4.681 * [taylor]: Taking taylor expansion of 0 in y 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.682 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.683 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.683 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.683 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.683 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 4.689 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 4.689 * [taylor]: Taking taylor expansion of 0 in y 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (- 0) into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.690 * [backup-simplify]: Simplify (- 0) into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 4.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 4.696 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 4.696 * [taylor]: Taking taylor expansion of 0 in y 4.696 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) 4.697 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.698 * [backup-simplify]: Simplify (/ (/ (+ x y) 2.0) x) into (* 0.5 (/ (+ x y) x)) 4.698 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 4.698 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 4.698 * [taylor]: Taking taylor expansion of 0.5 in y 4.698 * [backup-simplify]: Simplify 0.5 into 0.5 4.698 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 4.698 * [taylor]: Taking taylor expansion of (+ x y) in y 4.698 * [taylor]: Taking taylor expansion of x in y 4.698 * [backup-simplify]: Simplify x into x 4.698 * [taylor]: Taking taylor expansion of y in y 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [taylor]: Taking taylor expansion of x in y 4.698 * [backup-simplify]: Simplify x into x 4.698 * [backup-simplify]: Simplify (+ x 0) into x 4.698 * [backup-simplify]: Simplify (/ x x) into 1 4.698 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 4.698 * [taylor]: Taking taylor expansion of 0.5 in x 4.698 * [backup-simplify]: Simplify 0.5 into 0.5 4.698 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 4.698 * [taylor]: Taking taylor expansion of (+ x y) in x 4.698 * [taylor]: Taking taylor expansion of x in x 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [taylor]: Taking taylor expansion of y in x 4.698 * [backup-simplify]: Simplify y into y 4.698 * [taylor]: Taking taylor expansion of x in x 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (+ 0 y) into y 4.698 * [backup-simplify]: Simplify (/ y 1) into y 4.698 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 4.698 * [taylor]: Taking taylor expansion of 0.5 in x 4.698 * [backup-simplify]: Simplify 0.5 into 0.5 4.698 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 4.698 * [taylor]: Taking taylor expansion of (+ x y) in x 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of y in x 4.699 * [backup-simplify]: Simplify y into y 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [backup-simplify]: Simplify (+ 0 y) into y 4.699 * [backup-simplify]: Simplify (/ y 1) into y 4.699 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.699 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.699 * [taylor]: Taking taylor expansion of 0.5 in y 4.699 * [backup-simplify]: Simplify 0.5 into 0.5 4.699 * [taylor]: Taking taylor expansion of y in y 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify (+ 1 0) into 1 4.701 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 4.701 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 y)) into 0.5 4.701 * [taylor]: Taking taylor expansion of 0.5 in y 4.701 * [backup-simplify]: Simplify 0.5 into 0.5 4.701 * [backup-simplify]: Simplify 0.5 into 0.5 4.702 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.702 * [backup-simplify]: Simplify 0.5 into 0.5 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 y))) into 0 4.705 * [taylor]: Taking taylor expansion of 0 in y 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 4.709 * [taylor]: Taking taylor expansion of 0 in y 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (+ (* 0.5 (* y (/ 1 x))) 0.5) into (+ (* 0.5 (/ y x)) 0.5) 4.709 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 x) (/ 1 y)) 2.0) (/ 1 x)) into (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) 4.709 * [approximate]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 4.709 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in y 4.709 * [taylor]: Taking taylor expansion of 0.5 in y 4.709 * [backup-simplify]: Simplify 0.5 into 0.5 4.709 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 4.709 * [taylor]: Taking taylor expansion of x in y 4.709 * [backup-simplify]: Simplify x into x 4.709 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.709 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.709 * [taylor]: Taking taylor expansion of x in y 4.709 * [backup-simplify]: Simplify x into x 4.709 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.710 * [taylor]: Taking taylor expansion of y in y 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in x 4.710 * [taylor]: Taking taylor expansion of 0.5 in x 4.710 * [backup-simplify]: Simplify 0.5 into 0.5 4.710 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 4.710 * [taylor]: Taking taylor expansion of x in x 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.710 * [taylor]: Taking taylor expansion of x in x 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.711 * [taylor]: Taking taylor expansion of y in x 4.711 * [backup-simplify]: Simplify y into y 4.711 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.711 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in x 4.711 * [taylor]: Taking taylor expansion of 0.5 in x 4.711 * [backup-simplify]: Simplify 0.5 into 0.5 4.711 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.711 * [taylor]: Taking taylor expansion of x in x 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.711 * [taylor]: Taking taylor expansion of y in x 4.711 * [backup-simplify]: Simplify y into y 4.711 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.712 * [backup-simplify]: Simplify (+ 1 0) into 1 4.712 * [backup-simplify]: Simplify (* 0 1) into 0 4.713 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.713 * [taylor]: Taking taylor expansion of 0 in y 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.714 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.715 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.715 * [taylor]: Taking taylor expansion of 0.5 in y 4.715 * [backup-simplify]: Simplify 0.5 into 0.5 4.715 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.718 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 4.718 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.718 * [taylor]: Taking taylor expansion of 0.5 in y 4.718 * [backup-simplify]: Simplify 0.5 into 0.5 4.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.718 * [taylor]: Taking taylor expansion of y in y 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 1 into 1 4.718 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.719 * [backup-simplify]: Simplify 0.5 into 0.5 4.719 * [backup-simplify]: Simplify 0.5 into 0.5 4.719 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.721 * [backup-simplify]: Simplify (+ 0 0) into 0 4.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.723 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 4.723 * [taylor]: Taking taylor expansion of 0 in y 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 4.728 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 4.728 * [taylor]: Taking taylor expansion of 0 in y 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.730 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (* 0.5 (/ y x)) 0.5) 4.730 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- x)) (/ 1 (- y))) 2.0) (/ 1 (- x))) into (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) 4.730 * [approximate]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 4.730 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in y 4.730 * [taylor]: Taking taylor expansion of 0.5 in y 4.730 * [backup-simplify]: Simplify 0.5 into 0.5 4.730 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 4.730 * [taylor]: Taking taylor expansion of x in y 4.730 * [backup-simplify]: Simplify x into x 4.730 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.731 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.731 * [taylor]: Taking taylor expansion of x in y 4.731 * [backup-simplify]: Simplify x into x 4.731 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.731 * [taylor]: Taking taylor expansion of y in y 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in x 4.731 * [taylor]: Taking taylor expansion of 0.5 in x 4.731 * [backup-simplify]: Simplify 0.5 into 0.5 4.731 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 4.731 * [taylor]: Taking taylor expansion of x in x 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.731 * [taylor]: Taking taylor expansion of x in x 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (/ 1 1) into 1 4.732 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.732 * [taylor]: Taking taylor expansion of y in x 4.732 * [backup-simplify]: Simplify y into y 4.732 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.732 * [taylor]: Taking taylor expansion of (* 0.5 (* x (+ (/ 1 x) (/ 1 y)))) in x 4.732 * [taylor]: Taking taylor expansion of 0.5 in x 4.732 * [backup-simplify]: Simplify 0.5 into 0.5 4.732 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 4.732 * [taylor]: Taking taylor expansion of x in x 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.732 * [taylor]: Taking taylor expansion of x in x 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (/ 1 1) into 1 4.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.733 * [taylor]: Taking taylor expansion of y in x 4.733 * [backup-simplify]: Simplify y into y 4.733 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.733 * [backup-simplify]: Simplify (+ 1 0) into 1 4.733 * [backup-simplify]: Simplify (* 0 1) into 0 4.734 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.734 * [taylor]: Taking taylor expansion of 0 in y 4.734 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.735 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.735 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.736 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.736 * [taylor]: Taking taylor expansion of 0.5 in y 4.736 * [backup-simplify]: Simplify 0.5 into 0.5 4.736 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.740 * [backup-simplify]: Simplify (+ 0 0) into 0 4.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.742 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 4.742 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.742 * [taylor]: Taking taylor expansion of 0.5 in y 4.742 * [backup-simplify]: Simplify 0.5 into 0.5 4.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.742 * [taylor]: Taking taylor expansion of y in y 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.743 * [backup-simplify]: Simplify 0.5 into 0.5 4.743 * [backup-simplify]: Simplify 0.5 into 0.5 4.743 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.744 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 4.746 * [taylor]: Taking taylor expansion of 0 in y 4.746 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.748 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.749 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 4.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 4.752 * [taylor]: Taking taylor expansion of 0 in y 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.753 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.753 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (* 0.5 (/ y x)) 0.5) 4.754 * * * [progress]: simplifying candidates 4.758 * [simplify]: Simplifying: (expm1 (* (/ (/ (+ x y) 2.0) x) (/ 1 y))) (log1p (* (/ (/ (+ x y) 2.0) x) (/ 1 y))) (* (/ (/ (+ x y) 2.0) x) (/ 1 y)) (+ (- (- (log (+ x y)) (log 2.0)) (log x)) (- (log y))) (+ (- (- (log (+ x y)) (log 2.0)) (log x)) (- 0 (log y))) (+ (- (- (log (+ x y)) (log 2.0)) (log x)) (- (log 1) (log y))) (+ (- (- (log (+ x y)) (log 2.0)) (log x)) (log (/ 1 y))) (+ (- (log (/ (+ x y) 2.0)) (log x)) (- (log y))) (+ (- (log (/ (+ x y) 2.0)) (log x)) (- 0 (log y))) (+ (- (log (/ (+ x y) 2.0)) (log x)) (- (log 1) (log y))) (+ (- 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2.0)) (* (cbrt x) (cbrt x))) (/ (/ (+ x y) (sqrt 2.0)) (cbrt x)) (/ (/ 1 (sqrt 2.0)) (sqrt x)) (/ (/ (+ x y) (sqrt 2.0)) (sqrt x)) (/ (/ 1 (sqrt 2.0)) 1) (/ (/ (+ x y) (sqrt 2.0)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (+ x y) 2.0) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (+ x y) 2.0) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (+ x y) 2.0) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (+ x y) 2.0) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (+ x y) 2.0) (sqrt x)) (/ 1 1) (/ (/ (+ x y) 2.0) x) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (/ 1 2.0) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (/ 1 2.0) (sqrt x)) (/ (+ x y) 1) (/ (/ 1 2.0) x) (/ 1 x) (/ x (/ (+ x y) 2.0)) (/ (/ (+ x y) 2.0) (* (cbrt x) (cbrt x))) (/ (/ (+ x y) 2.0) (sqrt x)) (/ (/ (+ x y) 2.0) 1) (/ x (cbrt (/ (+ x y) 2.0))) (/ x (sqrt (/ (+ x y) 2.0))) (/ x (/ (cbrt (+ x y)) (cbrt 2.0))) (/ x (/ (cbrt (+ x y)) (sqrt 2.0))) (/ x (/ (cbrt (+ x y)) 2.0)) (/ x (/ (sqrt (+ x y)) (cbrt 2.0))) (/ x (/ (sqrt (+ x y)) (sqrt 2.0))) (/ x (/ (sqrt (+ x y)) 2.0)) (/ x (/ (+ x y) (cbrt 2.0))) (/ x (/ (+ x y) (sqrt 2.0))) (/ x (/ (+ x y) 2.0)) (/ x (/ (+ x y) (cbrt 2.0))) (/ x (/ (+ x y) (sqrt 2.0))) (/ x (/ (+ x y) 2.0)) (/ x (/ (+ x y) 2.0)) (/ x (/ 1 2.0)) (* x 2.0) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ 1 x)) (* 0.5 (/ 1 y))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 4.763 * * [simplify]: iteration 0: 281 enodes 4.887 * * [simplify]: iteration 1: 879 enodes 5.167 * * [simplify]: iteration complete: 5000 enodes 5.167 * * [simplify]: Extracting #0: cost 161 inf + 0 5.170 * * [simplify]: Extracting #1: cost 1375 inf + 1 5.183 * * [simplify]: Extracting #2: cost 1951 inf + 2389 5.192 * * [simplify]: Extracting #3: cost 1778 inf + 28090 5.237 * * [simplify]: Extracting #4: cost 724 inf + 208373 5.321 * * [simplify]: Extracting #5: cost 49 inf + 369102 5.417 * * [simplify]: Extracting #6: cost 0 inf + 377564 5.487 * * [simplify]: Extracting #7: cost 0 inf + 377324 5.595 * [simplify]: Simplified 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x)) (cbrt x)) (/ (+ x y) (* (cbrt x) 2.0)) (/ 1 (sqrt x)) (/ (+ x y) (* (sqrt x) 2.0)) 1 (/ (+ x y) (* x 2.0)) (/ 1 (* (* (cbrt x) (cbrt 2.0)) (* (cbrt x) (cbrt 2.0)))) (/ (/ (+ x y) (cbrt 2.0)) (cbrt x)) (/ (/ (/ 1 (cbrt 2.0)) (cbrt 2.0)) (sqrt x)) (/ (/ (+ x y) (sqrt x)) (cbrt 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0)) (/ (+ x y) (* x (cbrt 2.0))) (/ (/ (/ 1 (sqrt 2.0)) (cbrt x)) (cbrt x)) (/ (+ x y) (* (sqrt 2.0) (cbrt x))) (/ (/ 1 (sqrt 2.0)) (sqrt x)) (/ (+ x y) (* (sqrt x) (sqrt 2.0))) (/ 1 (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (* (cbrt x) 2.0)) (/ 1 (sqrt x)) (/ (+ x y) (* (sqrt x) 2.0)) 1 (/ (+ x y) (* x 2.0)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (* (cbrt x) 2.0)) (/ 1 (sqrt x)) (/ (+ x y) (* (sqrt x) 2.0)) 1 (/ (+ x y) (* x 2.0)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (/ 1 (cbrt x)) 2.0) (/ (+ x y) (sqrt x)) (/ (/ 1 2.0) (sqrt x)) (+ x y) (/ (/ 1 2.0) x) (/ 1 x) (/ (* x 2.0) (+ x y)) (/ (/ (+ x y) (* (cbrt x) (cbrt x))) 2.0) (/ (+ x y) (* (sqrt x) 2.0)) (/ (+ x y) 2.0) (/ x (cbrt (/ (+ x y) 2.0))) (/ x (sqrt (/ (+ x y) 2.0))) (* (/ x (cbrt (+ x y))) (cbrt 2.0)) (* (/ x (cbrt (+ x y))) (sqrt 2.0)) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x (cbrt 2.0)) (sqrt (+ x y))) (/ (* x (sqrt 2.0)) (sqrt (+ x y))) (* (/ x (sqrt (+ x y))) 2.0) (* (/ x (+ x y)) (cbrt 2.0)) (/ (* x (sqrt 2.0)) (+ x y)) (/ (* x 2.0) (+ x y)) (* (/ x (+ x y)) (cbrt 2.0)) (/ (* x (sqrt 2.0)) (+ x y)) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* 2.0 x) (* 2.0 x) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (fma (/ y x) 0.5 0.5) (fma (/ y x) 0.5 0.5) (fma (/ y x) 0.5 0.5) 5.610 * * * [progress]: adding candidates to table 6.251 * [progress]: [Phase 3 of 3] Extracting. 6.251 * * [regime]: Finding splitpoints for: (# #) 6.251 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.251 * * * * [regimes]: Trying to branch on y from (# #) 6.275 * * * * [regimes]: Trying to branch on x from (# #) 6.302 * * * [regime]: Found split indices: #