49.663 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.020 * * [simplify]: iteration 0: 5 enodes 0.021 * * [simplify]: iteration 1: 8 enodes 0.022 * * [simplify]: iteration 2: 11 enodes 0.023 * * [simplify]: iteration 3: 13 enodes 0.026 * * [simplify]: iteration complete: 13 enodes 0.026 * * [simplify]: Extracting #0: cost 1 inf + 0 0.026 * * [simplify]: Extracting #1: cost 7 inf + 0 0.026 * * [simplify]: Extracting #2: cost 5 inf + 43 0.026 * * [simplify]: Extracting #3: cost 4 inf + 44 0.026 * * [simplify]: Extracting #4: cost 0 inf + 373 0.026 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.082 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.082 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.082 * [taylor]: Taking taylor expansion of 1/2 in y 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.082 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.082 * [taylor]: Taking taylor expansion of (+ x y) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ x 0) into x 0.083 * [backup-simplify]: Simplify (/ x 1) into x 0.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.083 * [taylor]: Taking taylor expansion of 1/2 in x 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.083 * [taylor]: Taking taylor expansion of (+ x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (+ 0 y) into y 0.083 * [backup-simplify]: Simplify (/ y y) into 1 0.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.083 * [taylor]: Taking taylor expansion of 1/2 in x 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.083 * [taylor]: Taking taylor expansion of (+ x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (+ 0 y) into y 0.083 * [backup-simplify]: Simplify (/ y y) into 1 0.084 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.085 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of 1/2 in y 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) 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 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.092 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.092 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.092 * [taylor]: Taking taylor expansion of 1/2 in y 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.092 * [taylor]: Taking taylor expansion of 1/2 in x 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.093 * [taylor]: Taking taylor expansion of 1/2 in x 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (* 1 y) into y 0.094 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.094 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.094 * [taylor]: Taking taylor expansion of 1/2 in y 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.095 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.095 * [taylor]: Taking taylor expansion of 1/2 in y 0.095 * [backup-simplify]: Simplify 1/2 into 1/2 0.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) 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 1/2 into 1/2 0.099 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 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 y)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 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)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.114 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.114 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.114 * [taylor]: Taking taylor expansion of 1/2 in y 0.114 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [backup-simplify]: Simplify x into x 0.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.115 * [taylor]: Taking taylor expansion of 1/2 in x 0.115 * [backup-simplify]: Simplify 1/2 into 1/2 0.115 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.116 * [taylor]: Taking taylor expansion of 1/2 in x 0.116 * [backup-simplify]: Simplify 1/2 into 1/2 0.116 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (* 1 y) into y 0.117 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.117 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.117 * [taylor]: Taking taylor expansion of 1/2 in y 0.117 * [backup-simplify]: Simplify 1/2 into 1/2 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.119 * [taylor]: Taking taylor expansion of 1/2 in y 0.119 * [backup-simplify]: Simplify 1/2 into 1/2 0.119 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.128 * * * [progress]: simplifying candidates 0.129 * [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) 0.130 * * [simplify]: iteration 0: 112 enodes 0.154 * * [simplify]: iteration 1: 234 enodes 0.229 * * [simplify]: iteration 2: 767 enodes 1.104 * * [simplify]: iteration 3: 4902 enodes 2.500 * * [simplify]: iteration complete: 5000 enodes 2.500 * * [simplify]: Extracting #0: cost 67 inf + 0 2.501 * * [simplify]: Extracting #1: cost 623 inf + 2 2.506 * * [simplify]: Extracting #2: cost 1222 inf + 19894 2.551 * * [simplify]: Extracting #3: cost 722 inf + 167664 2.618 * * [simplify]: Extracting #4: cost 36 inf + 258452 2.704 * * [simplify]: Extracting #5: cost 6 inf + 262841 2.756 * * [simplify]: Extracting #6: cost 0 inf + 265067 2.853 * [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))) (- (+ y x)) (* -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)) (/ (sqrt y) (cbrt (+ x 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 (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (cbrt (+ x y)) (/ y (cbrt (+ x 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))) (/ (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))) (/ 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))) (/ 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))) (/ (+ x y) 0) (+ (* y (+ (* y y) (* x (- x y)))) (* y (+ (* y y) (* x (- x y))))) (* y (+ (- x y) (- x y))) (+ 1/2 (/ (* 1/2 x) y)) (+ 1/2 (/ (* 1/2 x) y)) (+ 1/2 (/ (* 1/2 x) y)) 2.863 * * * [progress]: adding candidates to table 3.192 * * [progress]: iteration 2 / 4 3.192 * * * [progress]: picking best candidate 3.199 * * * * [pick]: Picked # 3.199 * * * [progress]: localizing error 3.215 * * * [progress]: generating rewritten candidates 3.215 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.240 * * * [progress]: generating series expansions 3.240 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.240 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 3.240 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 3.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.240 * [taylor]: Taking taylor expansion of 1/2 in y 3.240 * [backup-simplify]: Simplify 1/2 into 1/2 3.241 * [taylor]: Taking taylor expansion of (/ x y) in y 3.241 * [taylor]: Taking taylor expansion of x in y 3.241 * [backup-simplify]: Simplify x into x 3.241 * [taylor]: Taking taylor expansion of y in y 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (/ x 1) into x 3.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.241 * [taylor]: Taking taylor expansion of 1/2 in x 3.241 * [backup-simplify]: Simplify 1/2 into 1/2 3.241 * [taylor]: Taking taylor expansion of (/ x y) in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [taylor]: Taking taylor expansion of y in x 3.241 * [backup-simplify]: Simplify y into y 3.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.241 * [taylor]: Taking taylor expansion of 1/2 in x 3.241 * [backup-simplify]: Simplify 1/2 into 1/2 3.241 * [taylor]: Taking taylor expansion of (/ x y) in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [taylor]: Taking taylor expansion of y in x 3.241 * [backup-simplify]: Simplify y into y 3.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.241 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 3.241 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.241 * [taylor]: Taking taylor expansion of 1/2 in y 3.241 * [backup-simplify]: Simplify 1/2 into 1/2 3.241 * [taylor]: Taking taylor expansion of y in y 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.242 * [backup-simplify]: Simplify 1/2 into 1/2 3.243 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 3.243 * [taylor]: Taking taylor expansion of 0 in y 3.243 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.245 * [taylor]: Taking taylor expansion of 0 in y 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.246 * [taylor]: Taking taylor expansion of 0 in y 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 3.247 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 3.247 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 3.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.247 * [taylor]: Taking taylor expansion of 1/2 in y 3.247 * [backup-simplify]: Simplify 1/2 into 1/2 3.247 * [taylor]: Taking taylor expansion of (/ y x) in y 3.248 * [taylor]: Taking taylor expansion of y in y 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [taylor]: Taking taylor expansion of x in y 3.248 * [backup-simplify]: Simplify x into x 3.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.248 * [taylor]: Taking taylor expansion of 1/2 in x 3.248 * [backup-simplify]: Simplify 1/2 into 1/2 3.248 * [taylor]: Taking taylor expansion of (/ y x) in x 3.248 * [taylor]: Taking taylor expansion of y in x 3.248 * [backup-simplify]: Simplify y into y 3.248 * [taylor]: Taking taylor expansion of x in x 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (/ y 1) into y 3.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.248 * [taylor]: Taking taylor expansion of 1/2 in x 3.248 * [backup-simplify]: Simplify 1/2 into 1/2 3.248 * [taylor]: Taking taylor expansion of (/ y x) in x 3.248 * [taylor]: Taking taylor expansion of y in x 3.248 * [backup-simplify]: Simplify y into y 3.248 * [taylor]: Taking taylor expansion of x in x 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (/ y 1) into y 3.248 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.248 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.248 * [taylor]: Taking taylor expansion of 1/2 in y 3.248 * [backup-simplify]: Simplify 1/2 into 1/2 3.248 * [taylor]: Taking taylor expansion of y in y 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.249 * [backup-simplify]: Simplify 1/2 into 1/2 3.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.250 * [taylor]: Taking taylor expansion of 0 in y 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.252 * [taylor]: Taking taylor expansion of 0 in y 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.255 * [taylor]: Taking taylor expansion of 0 in y 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 3.255 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 3.255 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 3.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.255 * [taylor]: Taking taylor expansion of 1/2 in y 3.255 * [backup-simplify]: Simplify 1/2 into 1/2 3.255 * [taylor]: Taking taylor expansion of (/ y x) in y 3.255 * [taylor]: Taking taylor expansion of y in y 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [taylor]: Taking taylor expansion of x in y 3.255 * [backup-simplify]: Simplify x into x 3.255 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.255 * [taylor]: Taking taylor expansion of 1/2 in x 3.255 * [backup-simplify]: Simplify 1/2 into 1/2 3.255 * [taylor]: Taking taylor expansion of (/ y x) in x 3.255 * [taylor]: Taking taylor expansion of y in x 3.255 * [backup-simplify]: Simplify y into y 3.255 * [taylor]: Taking taylor expansion of x in x 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (/ y 1) into y 3.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.255 * [taylor]: Taking taylor expansion of 1/2 in x 3.255 * [backup-simplify]: Simplify 1/2 into 1/2 3.255 * [taylor]: Taking taylor expansion of (/ y x) in x 3.255 * [taylor]: Taking taylor expansion of y in x 3.255 * [backup-simplify]: Simplify y into y 3.255 * [taylor]: Taking taylor expansion of x in x 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (/ y 1) into y 3.256 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.256 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.256 * [taylor]: Taking taylor expansion of 1/2 in y 3.256 * [backup-simplify]: Simplify 1/2 into 1/2 3.256 * [taylor]: Taking taylor expansion of y in y 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.256 * [backup-simplify]: Simplify 1/2 into 1/2 3.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.257 * [taylor]: Taking taylor expansion of 0 in y 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.259 * [taylor]: Taking taylor expansion of 0 in y 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.262 * [taylor]: Taking taylor expansion of 0 in y 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 3.263 * * * [progress]: simplifying candidates 3.263 * [simplify]: Simplifying: (* 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 (/ x y)) (* 1/2 (/ x y)) 3.264 * * [simplify]: iteration 0: 68 enodes 3.282 * * [simplify]: iteration 1: 178 enodes 3.337 * * [simplify]: iteration 2: 572 enodes 3.823 * * [simplify]: iteration 3: 2504 enodes 5.107 * * [simplify]: iteration complete: 5000 enodes 5.107 * * [simplify]: Extracting #0: cost 23 inf + 0 5.111 * * [simplify]: Extracting #1: cost 922 inf + 1 5.123 * * [simplify]: Extracting #2: cost 1379 inf + 10153 5.172 * * [simplify]: Extracting #3: cost 388 inf + 176825 5.226 * * [simplify]: Extracting #4: cost 28 inf + 251774 5.293 * * [simplify]: Extracting #5: cost 2 inf + 258101 5.346 * * [simplify]: Extracting #6: cost 0 inf + 258798 5.394 * [simplify]: Simplified to: (* (/ x y) 1/2) (log (* (/ x y) 1/2)) (log (* (/ x y) 1/2)) (log (* (/ x y) 1/2)) (sqrt (exp (/ x y))) (* (* (/ x y) (/ x y)) (* 1/8 (/ x y))) (* (* (/ x y) (/ x y)) (* 1/8 (/ x y))) (* (cbrt (* (/ x y) 1/2)) (cbrt (* (/ x y) 1/2))) (cbrt (* (/ x y) 1/2)) (* (* (/ x y) (/ x y)) (* 1/8 (/ x y))) (sqrt (* (/ x y) 1/2)) (sqrt (* (/ x y) 1/2)) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (/ (sqrt 1/2) (sqrt y)) (sqrt x)) (* (/ (sqrt 1/2) (sqrt y)) (sqrt x)) (* (cbrt (/ x y)) (* (cbrt (/ x y)) 1/2)) (* (sqrt (/ x y)) 1/2) (* 1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (* 1/2 (/ (cbrt x) (sqrt y))) (cbrt x)) (* (* 1/2 (cbrt x)) (cbrt x)) (* (/ 1/2 (cbrt y)) (/ (sqrt x) (cbrt y))) (/ (sqrt x) (/ (sqrt y) 1/2)) (* 1/2 (sqrt x)) (/ 1/2 (* (cbrt y) (cbrt y))) (/ 1/2 (sqrt y)) 1/2 1/2 (* 1/2 x) (* (/ (cbrt 1/2) y) x) (/ x (/ y (sqrt 1/2))) (* (/ x y) 1/2) (* 1/2 x) (* (/ x y) 1/2) (* (/ x y) 1/2) (* (/ x y) 1/2) 5.396 * * * [progress]: adding candidates to table 5.577 * [progress]: [Phase 3 of 3] Extracting. 5.581 * [simplify]: Simplifying: (+ (* 1/2 (/ x y)) 1/2) 5.581 * * [simplify]: iteration 0: 6 enodes 5.582 * * [simplify]: iteration 1: 8 enodes 5.582 * * [simplify]: iteration complete: 8 enodes 5.582 * * [simplify]: Extracting #0: cost 1 inf + 0 5.582 * * [simplify]: Extracting #1: cost 3 inf + 0 5.582 * * [simplify]: Extracting #2: cost 3 inf + 1 5.582 * * [simplify]: Extracting #3: cost 5 inf + 1 5.583 * * [simplify]: Extracting #4: cost 0 inf + 251 5.583 * [simplify]: Simplified to: (+ 1/2 (* (/ x y) 1/2)) 6.656 * [regime-testing]: Baseline error score: 0.009074254594414447 6.665 * [regime-testing]: Oracle error score: 0.009074254594414447 6.665 * [regime-testing]: End program error score: 0.009074254594414447 6.764 * [regime-testing]: Target error score: 0.009074254594414447