79.177 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.017 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.017 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.017 * * [simplify]: Extracting # 2 : cost 5 inf + 0 0.017 * * [simplify]: Extracting # 3 : cost 2 inf + 43 0.017 * * [simplify]: Extracting # 4 : cost 0 inf + 207 0.017 * * [simplify]: iteration 0 : 5 enodes (cost 122 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 inf + 207 0.018 * * [simplify]: Extracting # 1 : cost 1 inf + 207 0.018 * * [simplify]: Extracting # 2 : cost 0 inf + 208 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 122 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 inf + 208 0.019 * * [simplify]: Extracting # 1 : cost 1 inf + 208 0.019 * * [simplify]: Extracting # 2 : cost 0 inf + 291 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 122 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 inf + 291 0.020 * * [simplify]: Extracting # 1 : cost 1 inf + 291 0.020 * * [simplify]: Extracting # 2 : cost 0 inf + 373 0.020 * * [simplify]: iteration 3 : 13 enodes (cost 122 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 inf + 373 0.022 * * [simplify]: iteration done: 13 enodes (cost 122 ) 0.022 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.063 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.063 * [taylor]: Taking taylor expansion of (+ x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [backup-simplify]: Simplify x into x 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (+ x 0) into x 0.063 * [backup-simplify]: Simplify (/ x 1) into x 0.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.063 * [taylor]: Taking taylor expansion of 1/2 in x 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.063 * [taylor]: Taking taylor expansion of (+ x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (+ 0 y) into y 0.063 * [backup-simplify]: Simplify (/ y y) into 1 0.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.063 * [taylor]: Taking taylor expansion of 1/2 in x 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.063 * [taylor]: Taking taylor expansion of (+ x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (+ 0 y) into y 0.063 * [backup-simplify]: Simplify (/ y y) into 1 0.064 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.064 * [taylor]: Taking taylor expansion of 1/2 in y 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.064 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.065 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of 1/2 in y 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.072 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.072 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [backup-simplify]: Simplify x into x 0.072 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.072 * [taylor]: Taking taylor expansion of 1/2 in x 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.073 * [taylor]: Taking taylor expansion of 1/2 in x 0.073 * [backup-simplify]: Simplify 1/2 into 1/2 0.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [backup-simplify]: Simplify (* 1 y) into y 0.074 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.074 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.074 * [taylor]: Taking taylor expansion of 1/2 in y 0.074 * [backup-simplify]: Simplify 1/2 into 1/2 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.075 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.075 * [taylor]: Taking taylor expansion of 1/2 in y 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 0.075 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.078 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.084 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.084 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [backup-simplify]: Simplify x into x 0.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.085 * [taylor]: Taking taylor expansion of 1/2 in x 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.085 * [taylor]: Taking taylor expansion of 1/2 in x 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.085 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (* 1 y) into y 0.086 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.086 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.086 * [taylor]: Taking taylor expansion of 1/2 in y 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.087 * [taylor]: Taking taylor expansion of 1/2 in y 0.087 * [backup-simplify]: Simplify 1/2 into 1/2 0.087 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.096 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying: (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.099 * * [simplify]: Extracting # 0 : cost 73 inf + 0 0.099 * * [simplify]: Extracting # 1 : cost 102 inf + 0 0.099 * * [simplify]: Extracting # 2 : cost 100 inf + 441 0.100 * * [simplify]: Extracting # 3 : cost 62 inf + 5019 0.101 * * [simplify]: Extracting # 4 : cost 13 inf + 13642 0.102 * * [simplify]: Extracting # 5 : cost 0 inf + 17021 0.104 * * [simplify]: iteration 0 : 112 enodes (cost 21448 ) 0.125 * * [simplify]: Extracting # 0 : cost 0 inf + 17021 0.127 * * [simplify]: Extracting # 1 : cost 47 inf + 15063 0.129 * * [simplify]: Extracting # 2 : cost 2 inf + 22181 0.132 * * [simplify]: Extracting # 3 : cost 1 inf + 22062 0.135 * * [simplify]: Extracting # 4 : cost 0 inf + 22194 0.137 * * [simplify]: iteration 1 : 234 enodes (cost 19840 ) 0.232 * * [simplify]: Extracting # 0 : cost 0 inf + 22194 0.239 * * [simplify]: Extracting # 1 : cost 191 inf + 21304 0.254 * * [simplify]: Extracting # 2 : cost 2 inf + 49689 0.270 * * [simplify]: Extracting # 3 : cost 1 inf + 49570 0.286 * * [simplify]: Extracting # 4 : cost 0 inf + 49782 0.306 * * [simplify]: iteration 2 : 767 enodes (cost 19681 ) 1.033 * * [simplify]: Extracting # 0 : cost 0 inf + 49782 1.071 * * [simplify]: Extracting # 1 : cost 1652 inf + 33721 1.123 * * [simplify]: Extracting # 2 : cost 2 inf + 260817 1.492 * * [simplify]: Extracting # 3 : cost 0 inf + 260677 1.557 * * [simplify]: Extracting # 4 : cost 0 inf + 260638 1.639 * * [simplify]: iteration 3 : 4902 enodes (cost 19681 ) 3.188 * * [simplify]: Extracting # 0 : cost 0 inf + 260638 3.265 * * [simplify]: Extracting # 1 : cost 41 inf + 257857 3.316 * * [simplify]: Extracting # 2 : cost 0 inf + 264788 3.412 * * [simplify]: iteration done: 5000 enodes (cost 19681 ) 3.413 * [simplify]: Simplified to: (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (* (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (cbrt (+ x y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (* (* y y) y) (* (* y y) y))) (/ (+ x y) 0) (* (+ (* x x) (* y (- y x))) (+ y y)) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 3.420 * * * [progress]: adding candidates to table 3.693 * * [progress]: iteration 2 / 4 3.694 * * * [progress]: picking best candidate 3.705 * * * * [pick]: Picked # 3.705 * * * [progress]: localizing error 3.723 * * * [progress]: generating rewritten candidates 3.723 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.738 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.761 * * * [progress]: generating series expansions 3.761 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.761 * [backup-simplify]: Simplify (+ (* 1/2 (/ x y)) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.761 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in (x y) around 0 3.761 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in y 3.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.761 * [taylor]: Taking taylor expansion of 1/2 in y 3.761 * [backup-simplify]: Simplify 1/2 into 1/2 3.761 * [taylor]: Taking taylor expansion of (/ x y) in y 3.761 * [taylor]: Taking taylor expansion of x in y 3.761 * [backup-simplify]: Simplify x into x 3.762 * [taylor]: Taking taylor expansion of y in y 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (/ x 1) into x 3.762 * [taylor]: Taking taylor expansion of 1/2 in y 3.762 * [backup-simplify]: Simplify 1/2 into 1/2 3.762 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in x 3.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.762 * [taylor]: Taking taylor expansion of 1/2 in x 3.762 * [backup-simplify]: Simplify 1/2 into 1/2 3.762 * [taylor]: Taking taylor expansion of (/ x y) in x 3.762 * [taylor]: Taking taylor expansion of x in x 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [taylor]: Taking taylor expansion of y in x 3.762 * [backup-simplify]: Simplify y into y 3.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.762 * [taylor]: Taking taylor expansion of 1/2 in x 3.762 * [backup-simplify]: Simplify 1/2 into 1/2 3.762 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) 1/2) in x 3.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.762 * [taylor]: Taking taylor expansion of 1/2 in x 3.762 * [backup-simplify]: Simplify 1/2 into 1/2 3.762 * [taylor]: Taking taylor expansion of (/ x y) in x 3.762 * [taylor]: Taking taylor expansion of x in x 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [taylor]: Taking taylor expansion of y in x 3.762 * [backup-simplify]: Simplify y into y 3.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.762 * [taylor]: Taking taylor expansion of 1/2 in x 3.762 * [backup-simplify]: Simplify 1/2 into 1/2 3.763 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.763 * [taylor]: Taking taylor expansion of 1/2 in y 3.763 * [backup-simplify]: Simplify 1/2 into 1/2 3.763 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 3.764 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 3.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 3.764 * [taylor]: Taking taylor expansion of 1/2 in y 3.764 * [backup-simplify]: Simplify 1/2 into 1/2 3.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.764 * [taylor]: Taking taylor expansion of y in y 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.765 * [backup-simplify]: Simplify 1/2 into 1/2 3.765 * [backup-simplify]: Simplify 1/2 into 1/2 3.765 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [taylor]: Taking taylor expansion of 0 in y 3.766 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.767 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.769 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [taylor]: Taking taylor expansion of 0 in y 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.773 * [backup-simplify]: Simplify (+ 0 0) into 0 3.773 * [taylor]: Taking taylor expansion of 0 in y 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 3.773 * [backup-simplify]: Simplify (+ (* 1/2 (/ (/ 1 x) (/ 1 y))) 1/2) into (+ (* 1/2 (/ y x)) 1/2) 3.773 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in (x y) around 0 3.774 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in y 3.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.774 * [taylor]: Taking taylor expansion of 1/2 in y 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (/ y x) in y 3.774 * [taylor]: Taking taylor expansion of y in y 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [taylor]: Taking taylor expansion of x in y 3.774 * [backup-simplify]: Simplify x into x 3.774 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.774 * [taylor]: Taking taylor expansion of 1/2 in y 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 3.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (/ y x) in x 3.774 * [taylor]: Taking taylor expansion of y in x 3.774 * [backup-simplify]: Simplify y into y 3.774 * [taylor]: Taking taylor expansion of x in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (/ y 1) into y 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 3.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (/ y x) in x 3.774 * [taylor]: Taking taylor expansion of y in x 3.774 * [backup-simplify]: Simplify y into y 3.774 * [taylor]: Taking taylor expansion of x in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (/ y 1) into y 3.775 * [taylor]: Taking taylor expansion of 1/2 in x 3.775 * [backup-simplify]: Simplify 1/2 into 1/2 3.775 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.775 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 3.775 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.775 * [taylor]: Taking taylor expansion of 1/2 in y 3.775 * [backup-simplify]: Simplify 1/2 into 1/2 3.775 * [taylor]: Taking taylor expansion of y in y 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.777 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.777 * [taylor]: Taking taylor expansion of 1/2 in y 3.777 * [backup-simplify]: Simplify 1/2 into 1/2 3.777 * [backup-simplify]: Simplify 1/2 into 1/2 3.778 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.778 * [backup-simplify]: Simplify 1/2 into 1/2 3.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.781 * [backup-simplify]: Simplify (+ 0 0) into 0 3.781 * [taylor]: Taking taylor expansion of 0 in y 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [taylor]: Taking taylor expansion of 0 in y 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.786 * [backup-simplify]: Simplify (+ (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) 1/2) into (+ (* 1/2 (/ y x)) 1/2) 3.786 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in (x y) around 0 3.786 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in y 3.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.786 * [taylor]: Taking taylor expansion of 1/2 in y 3.786 * [backup-simplify]: Simplify 1/2 into 1/2 3.786 * [taylor]: Taking taylor expansion of (/ y x) in y 3.786 * [taylor]: Taking taylor expansion of y in y 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [taylor]: Taking taylor expansion of x in y 3.786 * [backup-simplify]: Simplify x into x 3.786 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.786 * [taylor]: Taking taylor expansion of 1/2 in y 3.787 * [backup-simplify]: Simplify 1/2 into 1/2 3.787 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 3.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.787 * [taylor]: Taking taylor expansion of 1/2 in x 3.787 * [backup-simplify]: Simplify 1/2 into 1/2 3.787 * [taylor]: Taking taylor expansion of (/ y x) in x 3.787 * [taylor]: Taking taylor expansion of y in x 3.787 * [backup-simplify]: Simplify y into y 3.787 * [taylor]: Taking taylor expansion of x in x 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify 1 into 1 3.787 * [backup-simplify]: Simplify (/ y 1) into y 3.787 * [taylor]: Taking taylor expansion of 1/2 in x 3.787 * [backup-simplify]: Simplify 1/2 into 1/2 3.787 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ y x)) 1/2) in x 3.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.787 * [taylor]: Taking taylor expansion of 1/2 in x 3.787 * [backup-simplify]: Simplify 1/2 into 1/2 3.787 * [taylor]: Taking taylor expansion of (/ y x) in x 3.787 * [taylor]: Taking taylor expansion of y in x 3.787 * [backup-simplify]: Simplify y into y 3.787 * [taylor]: Taking taylor expansion of x in x 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify 1 into 1 3.787 * [backup-simplify]: Simplify (/ y 1) into y 3.787 * [taylor]: Taking taylor expansion of 1/2 in x 3.787 * [backup-simplify]: Simplify 1/2 into 1/2 3.787 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.787 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 3.787 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.787 * [taylor]: Taking taylor expansion of 1/2 in y 3.787 * [backup-simplify]: Simplify 1/2 into 1/2 3.788 * [taylor]: Taking taylor expansion of y in y 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.788 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.790 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.790 * [taylor]: Taking taylor expansion of 1/2 in y 3.790 * [backup-simplify]: Simplify 1/2 into 1/2 3.790 * [backup-simplify]: Simplify 1/2 into 1/2 3.791 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.791 * [backup-simplify]: Simplify 1/2 into 1/2 3.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [taylor]: Taking taylor expansion of 0 in y 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [taylor]: Taking taylor expansion of 0 in y 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.795 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.796 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 3.796 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 3.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.796 * [taylor]: Taking taylor expansion of 1/2 in y 3.796 * [backup-simplify]: Simplify 1/2 into 1/2 3.796 * [taylor]: Taking taylor expansion of (/ x y) in y 3.796 * [taylor]: Taking taylor expansion of x in y 3.796 * [backup-simplify]: Simplify x into x 3.796 * [taylor]: Taking taylor expansion of y in y 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ x 1) into x 3.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.796 * [taylor]: Taking taylor expansion of 1/2 in x 3.796 * [backup-simplify]: Simplify 1/2 into 1/2 3.796 * [taylor]: Taking taylor expansion of (/ x y) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [taylor]: Taking taylor expansion of y in x 3.796 * [backup-simplify]: Simplify y into y 3.796 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.796 * [taylor]: Taking taylor expansion of 1/2 in x 3.796 * [backup-simplify]: Simplify 1/2 into 1/2 3.796 * [taylor]: Taking taylor expansion of (/ x y) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [taylor]: Taking taylor expansion of y in x 3.796 * [backup-simplify]: Simplify y into y 3.796 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.796 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 3.796 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.796 * [taylor]: Taking taylor expansion of 1/2 in y 3.796 * [backup-simplify]: Simplify 1/2 into 1/2 3.796 * [taylor]: Taking taylor expansion of y in y 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.797 * [backup-simplify]: Simplify 1/2 into 1/2 3.797 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 3.797 * [taylor]: Taking taylor expansion of 0 in y 3.797 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.798 * [taylor]: Taking taylor expansion of 0 in y 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.800 * [taylor]: Taking taylor expansion of 0 in y 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 3.801 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 3.801 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 3.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.801 * [taylor]: Taking taylor expansion of 1/2 in y 3.801 * [backup-simplify]: Simplify 1/2 into 1/2 3.801 * [taylor]: Taking taylor expansion of (/ y x) in y 3.801 * [taylor]: Taking taylor expansion of y in y 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [taylor]: Taking taylor expansion of x in y 3.801 * [backup-simplify]: Simplify x into x 3.801 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.801 * [taylor]: Taking taylor expansion of 1/2 in x 3.801 * [backup-simplify]: Simplify 1/2 into 1/2 3.801 * [taylor]: Taking taylor expansion of (/ y x) in x 3.801 * [taylor]: Taking taylor expansion of y in x 3.801 * [backup-simplify]: Simplify y into y 3.801 * [taylor]: Taking taylor expansion of x in x 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ y 1) into y 3.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.801 * [taylor]: Taking taylor expansion of 1/2 in x 3.801 * [backup-simplify]: Simplify 1/2 into 1/2 3.801 * [taylor]: Taking taylor expansion of (/ y x) in x 3.801 * [taylor]: Taking taylor expansion of y in x 3.801 * [backup-simplify]: Simplify y into y 3.801 * [taylor]: Taking taylor expansion of x in x 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ y 1) into y 3.801 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.801 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.801 * [taylor]: Taking taylor expansion of 1/2 in y 3.801 * [backup-simplify]: Simplify 1/2 into 1/2 3.801 * [taylor]: Taking taylor expansion of y in y 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.802 * [backup-simplify]: Simplify 1/2 into 1/2 3.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.803 * [taylor]: Taking taylor expansion of 0 in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.805 * [taylor]: Taking taylor expansion of 0 in y 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.808 * [taylor]: Taking taylor expansion of 0 in y 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 3.808 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 3.808 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 3.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.808 * [taylor]: Taking taylor expansion of 1/2 in y 3.808 * [backup-simplify]: Simplify 1/2 into 1/2 3.808 * [taylor]: Taking taylor expansion of (/ y x) in y 3.808 * [taylor]: Taking taylor expansion of y in y 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [taylor]: Taking taylor expansion of x in y 3.808 * [backup-simplify]: Simplify x into x 3.808 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.808 * [taylor]: Taking taylor expansion of 1/2 in x 3.808 * [backup-simplify]: Simplify 1/2 into 1/2 3.808 * [taylor]: Taking taylor expansion of (/ y x) in x 3.808 * [taylor]: Taking taylor expansion of y in x 3.808 * [backup-simplify]: Simplify y into y 3.808 * [taylor]: Taking taylor expansion of x in x 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (/ y 1) into y 3.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.808 * [taylor]: Taking taylor expansion of 1/2 in x 3.808 * [backup-simplify]: Simplify 1/2 into 1/2 3.808 * [taylor]: Taking taylor expansion of (/ y x) in x 3.808 * [taylor]: Taking taylor expansion of y in x 3.808 * [backup-simplify]: Simplify y into y 3.808 * [taylor]: Taking taylor expansion of x in x 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (/ y 1) into y 3.808 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.808 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.808 * [taylor]: Taking taylor expansion of 1/2 in y 3.808 * [backup-simplify]: Simplify 1/2 into 1/2 3.808 * [taylor]: Taking taylor expansion of y in y 3.808 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.809 * [backup-simplify]: Simplify 1/2 into 1/2 3.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.810 * [taylor]: Taking taylor expansion of 0 in y 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.812 * [taylor]: Taking taylor expansion of 0 in y 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.815 * [taylor]: Taking taylor expansion of 0 in y 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 3.815 * * * [progress]: simplifying candidates 3.815 * [simplify]: Simplifying: (* (exp (* 1/2 (/ x y))) (exp 1/2)) (log (+ (* 1/2 (/ x y)) 1/2)) (exp (+ (* 1/2 (/ x y)) 1/2)) (* (cbrt (+ (* 1/2 (/ x y)) 1/2)) (cbrt (+ (* 1/2 (/ x y)) 1/2))) (cbrt (+ (* 1/2 (/ x y)) 1/2)) (* (* (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2)) (+ (* 1/2 (/ x y)) 1/2)) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (+ (pow (* 1/2 (/ x y)) 3) (pow 1/2 3)) (+ (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (- (* 1/2 1/2) (* (* 1/2 (/ x y)) 1/2))) (- (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 1/2)) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 3.816 * * [simplify]: Extracting # 0 : cost 40 inf + 0 3.816 * * [simplify]: Extracting # 1 : cost 70 inf + 0 3.816 * * [simplify]: Extracting # 2 : cost 79 inf + 84 3.817 * * [simplify]: Extracting # 3 : cost 49 inf + 3513 3.818 * * [simplify]: Extracting # 4 : cost 16 inf + 8715 3.819 * * [simplify]: Extracting # 5 : cost 7 inf + 10756 3.820 * * [simplify]: Extracting # 6 : cost 0 inf + 12454 3.821 * * [simplify]: iteration 0 : 87 enodes (cost 8900 ) 3.863 * * [simplify]: Extracting # 0 : cost 0 inf + 12454 3.866 * * [simplify]: Extracting # 1 : cost 51 inf + 10058 3.870 * * [simplify]: Extracting # 2 : cost 2 inf + 16775 3.875 * * [simplify]: Extracting # 3 : cost 1 inf + 16696 3.880 * * [simplify]: Extracting # 4 : cost 0 inf + 16990 3.885 * * [simplify]: iteration 1 : 241 enodes (cost 7715 ) 4.054 * * [simplify]: Extracting # 0 : cost 0 inf + 16990 4.062 * * [simplify]: Extracting # 1 : cost 199 inf + 14136 4.076 * * [simplify]: Extracting # 2 : cost 4 inf + 43585 4.094 * * [simplify]: Extracting # 3 : cost 4 inf + 43586 4.103 * * [simplify]: Extracting # 4 : cost 2 inf + 43881 4.111 * * [simplify]: Extracting # 5 : cost 0 inf + 44328 4.120 * * [simplify]: iteration 2 : 835 enodes (cost 7635 ) 5.212 * * [simplify]: Extracting # 0 : cost 0 inf + 44328 5.236 * * [simplify]: Extracting # 1 : cost 991 inf + 27653 5.285 * * [simplify]: Extracting # 2 : cost 6 inf + 191045 5.334 * * [simplify]: Extracting # 3 : cost 2 inf + 191264 5.408 * * [simplify]: Extracting # 4 : cost 0 inf + 191803 5.459 * * [simplify]: iteration 3 : 4394 enodes (cost 7595 ) 6.495 * * [simplify]: Extracting # 0 : cost 0 inf + 191803 6.577 * * [simplify]: Extracting # 1 : cost 291 inf + 190851 6.636 * * [simplify]: Extracting # 2 : cost 0 inf + 255419 6.706 * * [simplify]: iteration done: 5000 enodes (cost 7595 ) 6.708 * [simplify]: Simplified to: (exp (+ (* 1/2 (/ x y)) 1/2)) (log (+ (* 1/2 (/ x y)) 1/2)) (exp (+ (* 1/2 (/ x y)) 1/2)) (* (cbrt (+ (* 1/2 (/ x y)) 1/2)) (cbrt (+ (* 1/2 (/ x y)) 1/2))) (cbrt (+ (* 1/2 (/ x y)) 1/2)) (* (* (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2)) (+ (* 1/2 (/ x y)) 1/2)) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (sqrt (+ (* 1/2 (/ x y)) 1/2)) (+ (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) 1/8) (- 1/4 (* (* (/ x y) 1/2) (- 1/2 (* (/ x y) 1/2)))) (- (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) 1/4) (- (* 1/2 (/ x y)) 1/2) (* (/ x y) 1/2) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (sqrt (exp (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (* (cbrt x) (cbrt x))) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* (sqrt x) 1/2) (/ 1/2 (* (cbrt y) (cbrt y))) (/ 1/2 (sqrt y)) 1/2 1/2 (* x 1/2) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* (/ x y) 1/2) (* x 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (* (/ x y) 1/2) (* (/ x y) 1/2) (* (/ x y) 1/2) 6.711 * * * [progress]: adding candidates to table 6.928 * * [progress]: iteration 3 / 4 6.928 * * * [progress]: picking best candidate 6.931 * * * * [pick]: Picked # 6.931 * * * [progress]: localizing error 6.938 * * * [progress]: generating rewritten candidates 6.938 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.963 * * * [progress]: generating series expansions 6.963 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.963 * [backup-simplify]: Simplify (* (+ x y) (/ 1/2 y)) into (* 1/2 (/ (+ x y) y)) 6.963 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 6.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 6.963 * [taylor]: Taking taylor expansion of 1/2 in y 6.963 * [backup-simplify]: Simplify 1/2 into 1/2 6.963 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 6.963 * [taylor]: Taking taylor expansion of (+ x y) in y 6.963 * [taylor]: Taking taylor expansion of x in y 6.963 * [backup-simplify]: Simplify x into x 6.963 * [taylor]: Taking taylor expansion of y in y 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [taylor]: Taking taylor expansion of y in y 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (+ x 0) into x 6.963 * [backup-simplify]: Simplify (/ x 1) into x 6.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 6.963 * [taylor]: Taking taylor expansion of 1/2 in x 6.963 * [backup-simplify]: Simplify 1/2 into 1/2 6.963 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 6.964 * [taylor]: Taking taylor expansion of (+ x y) in x 6.964 * [taylor]: Taking taylor expansion of x in x 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [taylor]: Taking taylor expansion of y in x 6.964 * [backup-simplify]: Simplify y into y 6.964 * [taylor]: Taking taylor expansion of y in x 6.964 * [backup-simplify]: Simplify y into y 6.964 * [backup-simplify]: Simplify (+ 0 y) into y 6.964 * [backup-simplify]: Simplify (/ y y) into 1 6.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 6.964 * [taylor]: Taking taylor expansion of 1/2 in x 6.964 * [backup-simplify]: Simplify 1/2 into 1/2 6.964 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 6.964 * [taylor]: Taking taylor expansion of (+ x y) in x 6.964 * [taylor]: Taking taylor expansion of x in x 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [taylor]: Taking taylor expansion of y in x 6.964 * [backup-simplify]: Simplify y into y 6.964 * [taylor]: Taking taylor expansion of y in x 6.964 * [backup-simplify]: Simplify y into y 6.964 * [backup-simplify]: Simplify (+ 0 y) into y 6.964 * [backup-simplify]: Simplify (/ y y) into 1 6.965 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.965 * [taylor]: Taking taylor expansion of 1/2 in y 6.965 * [backup-simplify]: Simplify 1/2 into 1/2 6.965 * [backup-simplify]: Simplify (+ 1 0) into 1 6.965 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 6.965 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 6.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.965 * [taylor]: Taking taylor expansion of 1/2 in y 6.965 * [backup-simplify]: Simplify 1/2 into 1/2 6.965 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.965 * [taylor]: Taking taylor expansion of y in y 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 1 into 1 6.966 * [backup-simplify]: Simplify (/ 1 1) into 1 6.966 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.966 * [backup-simplify]: Simplify 1/2 into 1/2 6.966 * [backup-simplify]: Simplify 1/2 into 1/2 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.967 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 6.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 6.968 * [taylor]: Taking taylor expansion of 0 in y 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify (+ 0 0) into 0 6.970 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.971 * [taylor]: Taking taylor expansion of 0 in y 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (+ 0 0) into 0 6.974 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 6.975 * [taylor]: Taking taylor expansion of 0 in y 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 6.976 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1/2 (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 6.976 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 6.976 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 6.976 * [taylor]: Taking taylor expansion of 1/2 in y 6.976 * [backup-simplify]: Simplify 1/2 into 1/2 6.976 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 6.976 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 6.976 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.976 * [taylor]: Taking taylor expansion of x in y 6.976 * [backup-simplify]: Simplify x into x 6.976 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.976 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.976 * [taylor]: Taking taylor expansion of y in y 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.977 * [taylor]: Taking taylor expansion of y in y 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 6.977 * [taylor]: Taking taylor expansion of 1/2 in x 6.977 * [backup-simplify]: Simplify 1/2 into 1/2 6.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 6.977 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 6.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.977 * [taylor]: Taking taylor expansion of x in x 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.977 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.977 * [taylor]: Taking taylor expansion of y in x 6.977 * [backup-simplify]: Simplify y into y 6.977 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.977 * [taylor]: Taking taylor expansion of y in x 6.977 * [backup-simplify]: Simplify y into y 6.977 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 6.977 * [taylor]: Taking taylor expansion of 1/2 in x 6.978 * [backup-simplify]: Simplify 1/2 into 1/2 6.978 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 6.978 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 6.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.978 * [taylor]: Taking taylor expansion of x in x 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (/ 1 1) into 1 6.978 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.978 * [taylor]: Taking taylor expansion of y in x 6.978 * [backup-simplify]: Simplify y into y 6.978 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.978 * [taylor]: Taking taylor expansion of y in x 6.978 * [backup-simplify]: Simplify y into y 6.979 * [backup-simplify]: Simplify (+ 1 0) into 1 6.979 * [backup-simplify]: Simplify (* 1 y) into y 6.979 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 6.979 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 6.979 * [taylor]: Taking taylor expansion of 1/2 in y 6.979 * [backup-simplify]: Simplify 1/2 into 1/2 6.979 * [taylor]: Taking taylor expansion of y in y 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 1 into 1 6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 6.980 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 6.981 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 6.981 * [taylor]: Taking taylor expansion of 1/2 in y 6.981 * [backup-simplify]: Simplify 1/2 into 1/2 6.981 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.981 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.983 * [backup-simplify]: Simplify (+ 0 0) into 0 6.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 6.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 6.984 * [taylor]: Taking taylor expansion of 0 in y 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1/2 into 1/2 6.985 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.985 * [backup-simplify]: Simplify 1/2 into 1/2 6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.986 * [backup-simplify]: Simplify (+ 0 0) into 0 6.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 6.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 6.988 * [taylor]: Taking taylor expansion of 0 in y 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.991 * [backup-simplify]: Simplify (+ 0 0) into 0 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 6.993 * [taylor]: Taking taylor expansion of 0 in y 6.993 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 6.994 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1/2 (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 6.994 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 6.994 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 6.994 * [taylor]: Taking taylor expansion of 1/2 in y 6.994 * [backup-simplify]: Simplify 1/2 into 1/2 6.994 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 6.994 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 6.994 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.994 * [taylor]: Taking taylor expansion of x in y 6.994 * [backup-simplify]: Simplify x into x 6.994 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.994 * [taylor]: Taking taylor expansion of y in y 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.995 * [backup-simplify]: Simplify (/ 1 1) into 1 6.995 * [taylor]: Taking taylor expansion of y in y 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.995 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 6.995 * [taylor]: Taking taylor expansion of 1/2 in x 6.995 * [backup-simplify]: Simplify 1/2 into 1/2 6.995 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 6.995 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 6.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.995 * [taylor]: Taking taylor expansion of x in x 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify (/ 1 1) into 1 6.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.996 * [taylor]: Taking taylor expansion of y in x 6.996 * [backup-simplify]: Simplify y into y 6.996 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.996 * [taylor]: Taking taylor expansion of y in x 6.996 * [backup-simplify]: Simplify y into y 6.996 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 6.996 * [taylor]: Taking taylor expansion of 1/2 in x 6.996 * [backup-simplify]: Simplify 1/2 into 1/2 6.996 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 6.996 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 6.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.996 * [taylor]: Taking taylor expansion of x in x 6.996 * [backup-simplify]: Simplify 0 into 0 6.996 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify (/ 1 1) into 1 6.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.996 * [taylor]: Taking taylor expansion of y in x 6.996 * [backup-simplify]: Simplify y into y 6.996 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.996 * [taylor]: Taking taylor expansion of y in x 6.996 * [backup-simplify]: Simplify y into y 6.997 * [backup-simplify]: Simplify (+ 1 0) into 1 6.997 * [backup-simplify]: Simplify (* 1 y) into y 6.997 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 6.997 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 6.997 * [taylor]: Taking taylor expansion of 1/2 in y 6.997 * [backup-simplify]: Simplify 1/2 into 1/2 6.997 * [taylor]: Taking taylor expansion of y in y 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 1 into 1 6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.998 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 6.998 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 6.999 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 6.999 * [taylor]: Taking taylor expansion of 1/2 in y 6.999 * [backup-simplify]: Simplify 1/2 into 1/2 6.999 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.999 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.001 * [backup-simplify]: Simplify (+ 0 0) into 0 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 7.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 7.002 * [taylor]: Taking taylor expansion of 0 in y 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 1/2 into 1/2 7.003 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.003 * [backup-simplify]: Simplify 1/2 into 1/2 7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.004 * [backup-simplify]: Simplify (+ 0 0) into 0 7.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 7.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 7.006 * [taylor]: Taking taylor expansion of 0 in y 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.009 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 7.012 * [taylor]: Taking taylor expansion of 0 in y 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 7.012 * * * [progress]: simplifying candidates 7.013 * [simplify]: Simplifying: (* (+ x y) (/ 1/2 y)) (+ (log (+ x y)) (- (log 1/2) (log y))) (+ (log (+ x y)) (log (/ 1/2 y))) (log (* (+ x y) (/ 1/2 y))) (exp (* (+ x y) (/ 1/2 y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1/2 1/2) 1/2) (* (* y y) y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1/2 y) (/ 1/2 y)) (/ 1/2 y))) (* (cbrt (* (+ x y) (/ 1/2 y))) (cbrt (* (+ x y) (/ 1/2 y)))) (cbrt (* (+ x y) (/ 1/2 y))) (* (* (* (+ x y) (/ 1/2 y)) (* (+ x y) (/ 1/2 y))) (* (+ x y) (/ 1/2 y))) (sqrt (* (+ x y) (/ 1/2 y))) (sqrt (* (+ x y) (/ 1/2 y))) (* (+ (pow x 3) (pow y 3)) 1/2) (* (+ (* x x) (- (* y y) (* x y))) y) (* (- (* x x) (* y y)) 1/2) (* (- x y) y) (* (sqrt (+ x y)) (sqrt (/ 1/2 y))) (* (sqrt (+ x y)) (sqrt (/ 1/2 y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (+ x y) (* (cbrt (/ 1/2 y)) (cbrt (/ 1/2 y)))) (* (+ x y) (sqrt (/ 1/2 y))) (* (+ x y) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt y) (cbrt y)))) (* (+ x y) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt y))) (* (+ x y) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (* (+ x y) (/ (sqrt 1/2) (* (cbrt y) (cbrt y)))) (* (+ x y) (/ (sqrt 1/2) (sqrt y))) (* (+ x y) (/ (sqrt 1/2) 1)) (* (+ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (+ x y) (/ 1 (sqrt y))) (* (+ x y) (/ 1 1)) (* (+ x y) 1) (* (+ x y) 1/2) (* (cbrt (+ x y)) (/ 1/2 y)) (* (sqrt (+ x y)) (/ 1/2 y)) (* (+ x y) (/ 1/2 y)) (* (+ x y) (/ 1/2 y)) (* (+ x y) 1/2) (* (+ (pow x 3) (pow y 3)) (/ 1/2 y)) (* (- (* x x) (* y y)) (/ 1/2 y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 7.014 * * [simplify]: Extracting # 0 : cost 35 inf + 0 7.015 * * [simplify]: Extracting # 1 : cost 65 inf + 0 7.015 * * [simplify]: Extracting # 2 : cost 79 inf + 44 7.015 * * [simplify]: Extracting # 3 : cost 67 inf + 1311 7.016 * * [simplify]: Extracting # 4 : cost 36 inf + 4953 7.018 * * [simplify]: Extracting # 5 : cost 10 inf + 10660 7.020 * * [simplify]: Extracting # 6 : cost 1 inf + 13144 7.023 * * [simplify]: Extracting # 7 : cost 0 inf + 13507 7.025 * * [simplify]: iteration 0 : 88 enodes (cost 9061 ) 7.057 * * [simplify]: Extracting # 0 : cost 0 inf + 13507 7.061 * * [simplify]: Extracting # 1 : cost 55 inf + 11273 7.065 * * [simplify]: Extracting # 2 : cost 3 inf + 17715 7.070 * * [simplify]: Extracting # 3 : cost 1 inf + 17848 7.076 * * [simplify]: Extracting # 4 : cost 0 inf + 18020 7.081 * * [simplify]: iteration 1 : 245 enodes (cost 7965 ) 7.222 * * [simplify]: Extracting # 0 : cost 0 inf + 18020 7.228 * * [simplify]: Extracting # 1 : cost 455 inf + 16342 7.243 * * [simplify]: Extracting # 2 : cost 5 inf + 88234 7.259 * * [simplify]: Extracting # 3 : cost 5 inf + 88155 7.277 * * [simplify]: Extracting # 4 : cost 2 inf + 88500 7.294 * * [simplify]: Extracting # 5 : cost 0 inf + 88987 7.325 * * [simplify]: iteration 2 : 1408 enodes (cost 7883 ) 7.942 * * [simplify]: Extracting # 0 : cost 0 inf + 88987 8.022 * * [simplify]: Extracting # 1 : cost 2057 inf + 61243 8.101 * * [simplify]: Extracting # 2 : cost 51 inf + 353686 8.221 * * [simplify]: Extracting # 3 : cost 11 inf + 359628 8.332 * * [simplify]: Extracting # 4 : cost 0 inf + 362935 8.424 * * [simplify]: iteration done: 5002 enodes (cost 7803 ) 8.425 * [simplify]: Simplified to: (* (/ 1/2 y) (+ y x)) (log (* (+ x y) (/ 1/2 y))) (log (* (+ x y) (/ 1/2 y))) (log (* (+ x y) (/ 1/2 y))) (exp (* (+ x y) (/ 1/2 y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ 1/8 (* (* y y) y))) (* (* (+ x y) (/ 1/2 y)) (* (* (+ x y) (/ 1/2 y)) (* (+ x y) (/ 1/2 y)))) (* (cbrt (* (+ x y) (/ 1/2 y))) (cbrt (* (+ x y) (/ 1/2 y)))) (cbrt (* (+ x y) (/ 1/2 y))) (* (* (+ x y) (/ 1/2 y)) (* (* (+ x y) (/ 1/2 y)) (* (+ x y) (/ 1/2 y)))) (sqrt (* (+ x y) (/ 1/2 y))) (sqrt (* (+ x y) (/ 1/2 y))) (* (+ (* (* y y) y) (* (* x x) x)) 1/2) (* (+ (* x x) (* y (- y x))) y) (* (- (* x x) (* y y)) 1/2) (* (- x y) y) (* (sqrt (+ x y)) (sqrt (/ 1/2 y))) (* (sqrt (+ x y)) (sqrt (/ 1/2 y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (sqrt (+ x y)) (/ (sqrt 1/2) (sqrt y))) (* (* (cbrt (/ 1/2 y)) (cbrt (/ 1/2 y))) (+ y x)) (* (sqrt (/ 1/2 y)) (+ y x)) (* (* (/ (cbrt 1/2) (cbrt y)) (/ (cbrt 1/2) (cbrt y))) (+ y x)) (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt y)) (+ y x)) (* (+ y x) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt 1/2) (* (cbrt y) (cbrt y))) (+ y x)) (* (/ (sqrt 1/2) (sqrt y)) (+ y x)) (* (+ y x) (sqrt 1/2)) (/ (+ y x) (* (cbrt y) (cbrt y))) (/ (+ y x) (sqrt y)) (+ y x) (+ y x) (* 1/2 (+ y x)) (* (cbrt (+ x y)) (/ 1/2 y)) (* (sqrt (+ x y)) (/ 1/2 y)) (* (/ 1/2 y) (+ y x)) (* (/ 1/2 y) (+ y x)) (* 1/2 (+ y x)) (/ (* (+ (* (* y y) y) (* (* x x) x)) 1/2) y) (* (- (* x x) (* y y)) (/ 1/2 y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 8.428 * * * [progress]: adding candidates to table 8.554 * [progress]: [Phase 3 of 3] Extracting. 8.554 * * [regime]: Finding splitpoints for: (# # #) 8.554 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 8.554 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# # #) 8.596 * * * * [regimes]: Trying to branch on y from (# # #) 8.627 * * * * [regimes]: Trying to branch on x from (# # #) 8.661 * * * [regime]: Found split indices: #