13.094 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying: (+ (+ x y) x) 0.013 * * [simplify]: Extracting # 0 : cost 0 0.013 * * [simplify]: Extracting # 1 : cost 0 0.013 * * [simplify]: Extracting # 2 : cost 0 0.013 * * [simplify]: Extracting # 3 : cost 0 0.013 * * [simplify]: Extracting # 4 : cost 0 0.013 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.013 * * [simplify]: Extracting # 0 : cost 0 0.013 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.014 * * [simplify]: Extracting # 0 : cost 0 0.014 * * [simplify]: Extracting # 1 : cost 0 0.014 * * [simplify]: Extracting # 2 : cost 0 0.014 * * [simplify]: iteration 2 : 10 enodes (cost 5 ) 0.015 * * [simplify]: Extracting # 0 : cost 0 0.015 * * [simplify]: Extracting # 1 : cost 0 0.015 * * [simplify]: Extracting # 2 : cost 0 0.016 * * [simplify]: iteration 3 : 12 enodes (cost 5 ) 0.017 * * [simplify]: Extracting # 0 : cost 0 0.017 * * [simplify]: iteration 4 : 13 enodes (cost 5 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: iteration done: 13 enodes (cost 5 ) 0.019 * [simplify]: Simplified to: (+ (+ x y) x) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.067 * [backup-simplify]: Simplify (+ (+ x y) x) into (+ (* 2 x) y) 0.067 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.067 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.067 * [taylor]: Taking taylor expansion of 2 in y 0.067 * [backup-simplify]: Simplify 2 into 2 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.067 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.067 * [taylor]: Taking taylor expansion of 2 in x 0.067 * [backup-simplify]: Simplify 2 into 2 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.067 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.068 * [taylor]: Taking taylor expansion of 2 in x 0.068 * [backup-simplify]: Simplify 2 into 2 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [backup-simplify]: Simplify y into y 0.068 * [backup-simplify]: Simplify (* 2 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 y) into y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.069 * [backup-simplify]: Simplify (+ 2 0) into 2 0.069 * [taylor]: Taking taylor expansion of 2 in y 0.069 * [backup-simplify]: Simplify 2 into 2 0.069 * [backup-simplify]: Simplify 2 into 2 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 2 (* 1 x))) into (+ (* 2 x) y) 0.072 * [backup-simplify]: Simplify (+ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (+ (/ 1 y) (* 2 (/ 1 x))) 0.072 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 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 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [backup-simplify]: Simplify 2 into 2 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 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 (* 2 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 2 in x 0.073 * [backup-simplify]: Simplify 2 into 2 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) (* 2 (/ 1 x))) in x 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 (* 2 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 2 in x 0.073 * [backup-simplify]: Simplify 2 into 2 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 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify (* 2 1) into 2 0.074 * [backup-simplify]: Simplify (+ 0 2) into 2 0.074 * [taylor]: Taking taylor expansion of 2 in y 0.074 * [backup-simplify]: Simplify 2 into 2 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify 2 into 2 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) 1))) into (+ (* 2 x) y) 0.088 * [backup-simplify]: Simplify (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (- (+ (/ 1 y) (* 2 (/ 1 x)))) 0.088 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.088 * [taylor]: Taking taylor expansion of 2 in y 0.088 * [backup-simplify]: Simplify 2 into 2 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.088 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of 2 in x 0.089 * [backup-simplify]: Simplify 2 into 2 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of 2 in x 0.089 * [backup-simplify]: Simplify 2 into 2 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (* 2 1) into 2 0.091 * [backup-simplify]: Simplify (+ 0 2) into 2 0.091 * [backup-simplify]: Simplify (- 2) into -2 0.091 * [taylor]: Taking taylor expansion of -2 in y 0.091 * [backup-simplify]: Simplify -2 into -2 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.093 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.093 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (- 1) into -1 0.094 * [backup-simplify]: Simplify -1 into -1 0.094 * [backup-simplify]: Simplify -2 into -2 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) 1))) into (+ (* 2 x) y) 0.106 * * * [progress]: simplifying candidates 0.107 * [simplify]: Simplifying: (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.108 * * [simplify]: Extracting # 2 : cost 0 0.108 * * [simplify]: Extracting # 3 : cost 0 0.108 * * [simplify]: Extracting # 4 : cost 0 0.108 * * [simplify]: Extracting # 5 : cost 0 0.108 * * [simplify]: iteration 0 : 32 enodes (cost 145 ) 0.122 * * [simplify]: Extracting # 0 : cost 0 0.122 * * [simplify]: Extracting # 1 : cost 0 0.122 * * [simplify]: Extracting # 2 : cost 0 0.122 * * [simplify]: Extracting # 3 : cost 0 0.123 * * [simplify]: Extracting # 4 : cost 0 0.123 * * [simplify]: iteration 1 : 80 enodes (cost 140 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.165 * * [simplify]: Extracting # 2 : cost 0 0.165 * * [simplify]: Extracting # 3 : cost 0 0.166 * * [simplify]: Extracting # 4 : cost 0 0.166 * * [simplify]: iteration 2 : 239 enodes (cost 130 ) 0.304 * * [simplify]: Extracting # 0 : cost 0 0.306 * * [simplify]: Extracting # 1 : cost 0 0.307 * * [simplify]: Extracting # 2 : cost 0 0.309 * * [simplify]: Extracting # 3 : cost 0 0.310 * * [simplify]: iteration 3 : 813 enodes (cost 122 ) 1.572 * * [simplify]: Extracting # 0 : cost 0 1.579 * * [simplify]: Extracting # 1 : cost 0 1.593 * * [simplify]: Extracting # 2 : cost 0 1.596 * * [simplify]: Extracting # 3 : cost 0 1.599 * * [simplify]: iteration 4 : 3728 enodes (cost 116 ) 3.061 * * [simplify]: Extracting # 0 : cost 0 3.071 * * [simplify]: Extracting # 1 : cost 0 3.075 * * [simplify]: Extracting # 2 : cost 0 3.079 * * [simplify]: Extracting # 3 : cost 0 3.082 * * [simplify]: Extracting # 4 : cost 0 3.086 * * [simplify]: iteration done: 5000 enodes (cost 116 ) 3.086 * [simplify]: Simplified to: (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* y y) (* (+ x y) x)) (* y (+ (+ x y) x)) y (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 3.086 * * * [progress]: adding candidates to table 3.109 * * [progress]: iteration 2 / 4 3.109 * * * [progress]: picking best candidate 3.111 * * * * [pick]: Picked # 3.111 * * * [progress]: localizing error 3.135 * * * [progress]: generating rewritten candidates 3.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.163 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.182 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.199 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.436 * * * [progress]: generating series expansions 3.436 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.436 * [backup-simplify]: Simplify (cbrt (+ (+ x y) x)) into (pow (+ (* 2 x) y) 1/3) 3.436 * [approximate]: Taking taylor expansion of (pow (+ (* 2 x) y) 1/3) in (x y) around 0 3.436 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 1/3) in y 3.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 2 x) y)))) in y 3.436 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 2 x) y))) in y 3.436 * [taylor]: Taking taylor expansion of 1/3 in y 3.436 * [backup-simplify]: Simplify 1/3 into 1/3 3.436 * [taylor]: Taking taylor expansion of (log (+ (* 2 x) y)) in y 3.436 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.436 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.436 * [taylor]: Taking taylor expansion of 2 in y 3.436 * [backup-simplify]: Simplify 2 into 2 3.436 * [taylor]: Taking taylor expansion of x in y 3.436 * [backup-simplify]: Simplify x into x 3.436 * [taylor]: Taking taylor expansion of y in y 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 3.437 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 3.437 * [backup-simplify]: Simplify (log (* 2 x)) into (log (* 2 x)) 3.437 * [backup-simplify]: Simplify (* 1/3 (log (* 2 x))) into (* 1/3 (log (* 2 x))) 3.437 * [backup-simplify]: Simplify (exp (* 1/3 (log (* 2 x)))) into (pow (* 2 x) 1/3) 3.437 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 1/3) in x 3.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 2 x) y)))) in x 3.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 2 x) y))) in x 3.437 * [taylor]: Taking taylor expansion of 1/3 in x 3.437 * [backup-simplify]: Simplify 1/3 into 1/3 3.437 * [taylor]: Taking taylor expansion of (log (+ (* 2 x) y)) in x 3.437 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.437 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.437 * [taylor]: Taking taylor expansion of 2 in x 3.437 * [backup-simplify]: Simplify 2 into 2 3.437 * [taylor]: Taking taylor expansion of x in x 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [taylor]: Taking taylor expansion of y in x 3.437 * [backup-simplify]: Simplify y into y 3.438 * [backup-simplify]: Simplify (* 2 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 y) into y 3.438 * [backup-simplify]: Simplify (log y) into (log y) 3.438 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 3.438 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 3.438 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 1/3) in x 3.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 2 x) y)))) in x 3.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 2 x) y))) in x 3.438 * [taylor]: Taking taylor expansion of 1/3 in x 3.438 * [backup-simplify]: Simplify 1/3 into 1/3 3.438 * [taylor]: Taking taylor expansion of (log (+ (* 2 x) y)) in x 3.438 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.438 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.438 * [taylor]: Taking taylor expansion of 2 in x 3.438 * [backup-simplify]: Simplify 2 into 2 3.438 * [taylor]: Taking taylor expansion of x in x 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of y in x 3.438 * [backup-simplify]: Simplify y into y 3.438 * [backup-simplify]: Simplify (* 2 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 y) into y 3.438 * [backup-simplify]: Simplify (log y) into (log y) 3.438 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 3.438 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 3.439 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.439 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.439 * [taylor]: Taking taylor expansion of 1/3 in y 3.439 * [backup-simplify]: Simplify 1/3 into 1/3 3.439 * [taylor]: Taking taylor expansion of (log y) in y 3.439 * [taylor]: Taking taylor expansion of y in y 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.439 * [backup-simplify]: Simplify (log 1) into 0 3.439 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.439 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 3.439 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 3.440 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3) 3.440 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.440 * [backup-simplify]: Simplify (+ 2 0) into 2 3.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow y 1)))) 1) into (/ 2 y) 3.441 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 y)) (* 0 (log y))) into (* 2/3 (/ 1 y))