31.170 * [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. 0.012 * [simplify]: Simplifying: (+ (+ x y) x) 0.012 * * [simplify]: Extracting # 0 : cost 0 0.012 * * [simplify]: Extracting # 1 : cost 0 0.012 * * [simplify]: Extracting # 2 : cost 0 0.012 * * [simplify]: Extracting # 3 : cost 0 0.012 * * [simplify]: Extracting # 4 : cost 0 0.012 * * [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 0.015 * * [simplify]: iteration 3 : 12 enodes (cost 5 ) 0.016 * * [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) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.075 * [backup-simplify]: Simplify (+ (+ x y) x) into (+ (* 2 x) y) 0.075 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.075 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.075 * [taylor]: Taking taylor expansion of 2 in y 0.075 * [backup-simplify]: Simplify 2 into 2 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.075 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.075 * [taylor]: Taking taylor expansion of 2 in x 0.075 * [backup-simplify]: Simplify 2 into 2 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.075 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.075 * [taylor]: Taking taylor expansion of 2 in x 0.075 * [backup-simplify]: Simplify 2 into 2 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (* 2 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 y) into y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.082 * [backup-simplify]: Simplify (+ 2 0) into 2 0.082 * [taylor]: Taking taylor expansion of 2 in y 0.082 * [backup-simplify]: Simplify 2 into 2 0.082 * [backup-simplify]: Simplify 2 into 2 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) 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 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) 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 0.085 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 2 (* 1 x))) into (+ (* 2 x) y) 0.085 * [backup-simplify]: Simplify (+ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (+ (/ 1 y) (* 2 (/ 1 x))) 0.085 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 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 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.086 * [taylor]: Taking taylor expansion of 2 in y 0.086 * [backup-simplify]: Simplify 2 into 2 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 0.086 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of 2 in x 0.086 * [backup-simplify]: Simplify 2 into 2 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of 2 in x 0.086 * [backup-simplify]: Simplify 2 into 2 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (* 2 1) into 2 0.087 * [backup-simplify]: Simplify (+ 0 2) into 2 0.087 * [taylor]: Taking taylor expansion of 2 in y 0.087 * [backup-simplify]: Simplify 2 into 2 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 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 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify 2 into 2 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) 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 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) 1))) into (+ (* 2 x) y) 0.095 * [backup-simplify]: Simplify (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (- (+ (/ 1 y) (* 2 (/ 1 x)))) 0.095 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.095 * [taylor]: Taking taylor expansion of 2 in y 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.095 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of 2 in x 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of 2 in x 0.096 * [backup-simplify]: Simplify 2 into 2 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [backup-simplify]: Simplify (* 2 1) into 2 0.097 * [backup-simplify]: Simplify (+ 0 2) into 2 0.097 * [backup-simplify]: Simplify (- 2) into -2 0.097 * [taylor]: Taking taylor expansion of -2 in y 0.097 * [backup-simplify]: Simplify -2 into -2 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.098 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.099 * [backup-simplify]: Simplify -1 into -1 0.099 * [backup-simplify]: Simplify -2 into -2 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 2 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 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) 1))) into (+ (* 2 x) y) 0.111 * * * [progress]: simplifying candidates 0.111 * [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) 0.112 * * [simplify]: Extracting # 0 : cost 0 0.112 * * [simplify]: Extracting # 1 : cost 0 0.112 * * [simplify]: Extracting # 2 : cost 0 0.112 * * [simplify]: Extracting # 3 : cost 0 0.112 * * [simplify]: Extracting # 4 : cost 0 0.112 * * [simplify]: Extracting # 5 : cost 0 0.112 * * [simplify]: iteration 0 : 32 enodes (cost 145 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 0.124 * * [simplify]: Extracting # 1 : cost 0 0.124 * * [simplify]: Extracting # 2 : cost 0 0.125 * * [simplify]: Extracting # 3 : cost 0 0.125 * * [simplify]: Extracting # 4 : cost 0 0.125 * * [simplify]: iteration 1 : 80 enodes (cost 140 ) 0.152 * * [simplify]: Extracting # 0 : cost 0 0.152 * * [simplify]: Extracting # 1 : cost 0 0.152 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: Extracting # 3 : cost 0 0.153 * * [simplify]: Extracting # 4 : cost 0 0.153 * * [simplify]: iteration 2 : 239 enodes (cost 130 ) 0.301 * * [simplify]: Extracting # 0 : cost 0 0.302 * * [simplify]: Extracting # 1 : cost 0 0.303 * * [simplify]: Extracting # 2 : cost 0 0.303 * * [simplify]: Extracting # 3 : cost 0 0.304 * * [simplify]: iteration 3 : 813 enodes (cost 122 ) 1.679 * * [simplify]: Extracting # 0 : cost 0 1.685 * * [simplify]: Extracting # 1 : cost 0 1.690 * * [simplify]: Extracting # 2 : cost 0 1.695 * * [simplify]: Extracting # 3 : cost 0 1.699 * * [simplify]: iteration 4 : 3728 enodes (cost 116 ) 3.171 * * [simplify]: Extracting # 0 : cost 0 3.178 * * [simplify]: Extracting # 1 : cost 0 3.185 * * [simplify]: Extracting # 2 : cost 0 3.191 * * [simplify]: Extracting # 3 : cost 0 3.205 * * [simplify]: Extracting # 4 : cost 0 3.213 * * [simplify]: iteration done: 5000 enodes (cost 116 ) 3.213 * [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) 3.213 * * * [progress]: adding candidates to table 3.262 * * [progress]: iteration 2 / 4 3.262 * * * [progress]: picking best candidate 3.265 * * * * [pick]: Picked # 3.265 * * * [progress]: localizing error 3.281 * * * [progress]: generating rewritten candidates 3.281 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.594 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.629 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.674 * * * [progress]: generating series expansions 3.674 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.675 * [backup-simplify]: Simplify (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) into (+ (* 2 x) y) 3.675 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 3.675 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.675 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.675 * [taylor]: Taking taylor expansion of 2 in y 3.675 * [backup-simplify]: Simplify 2 into 2 3.675 * [taylor]: Taking taylor expansion of x in y 3.675 * [backup-simplify]: Simplify x into x 3.675 * [taylor]: Taking taylor expansion of y in y 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.675 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.675 * [taylor]: Taking taylor expansion of 2 in x 3.675 * [backup-simplify]: Simplify 2 into 2 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of y in x 3.675 * [backup-simplify]: Simplify y into y 3.675 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.675 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.675 * [taylor]: Taking taylor expansion of 2 in x 3.675 * [backup-simplify]: Simplify 2 into 2 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of y in x 3.675 * [backup-simplify]: Simplify y into y 3.676 * [backup-simplify]: Simplify (* 2 0) into 0 3.676 * [backup-simplify]: Simplify (+ 0 y) into y 3.676 * [taylor]: Taking taylor expansion of y in y 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.677 * [backup-simplify]: Simplify (+ 2 0) into 2 3.677 * [taylor]: Taking taylor expansion of 2 in y 3.677 * [backup-simplify]: Simplify 2 into 2 3.677 * [backup-simplify]: Simplify 2 into 2 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [taylor]: Taking taylor expansion of 0 in y 3.677 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [taylor]: Taking taylor expansion of 0 in y 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 2 (* 1 x))) into (+ (* 2 x) y) 3.679 * [backup-simplify]: Simplify (* (sqrt (+ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) (sqrt (+ (+ (/ 1 x) (/ 1 y)) (/ 1 x)))) into (+ (/ 1 y) (* 2 (/ 1 x))) 3.679 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 3.679 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.679 * [taylor]: Taking taylor expansion of y in y 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.679 * [taylor]: Taking taylor expansion of 2 in y 3.679 * [backup-simplify]: Simplify 2 into 2 3.679 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.679 * [taylor]: Taking taylor expansion of x in y 3.679 * [backup-simplify]: Simplify x into x 3.679 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.679 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.679 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.679 * [taylor]: Taking taylor expansion of y in x 3.679 * [backup-simplify]: Simplify y into y 3.680 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.680 * [taylor]: Taking taylor expansion of 2 in x 3.680 * [backup-simplify]: Simplify 2 into 2 3.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.680 * [taylor]: Taking taylor expansion of y in x 3.680 * [backup-simplify]: Simplify y into y 3.680 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.680 * [taylor]: Taking taylor expansion of 2 in x 3.680 * [backup-simplify]: Simplify 2 into 2 3.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.680 * [taylor]: Taking taylor expansion of x in x 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [backup-simplify]: Simplify (* 2 1) into 2 3.681 * [backup-simplify]: Simplify (+ 0 2) into 2 3.681 * [taylor]: Taking taylor expansion of 2 in y 3.681 * [backup-simplify]: Simplify 2 into 2 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.682 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.682 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.682 * [taylor]: Taking taylor expansion of y in y 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [backup-simplify]: Simplify (/ 1 1) into 1 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [backup-simplify]: Simplify 2 into 2 3.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.684 * [backup-simplify]: Simplify (+ 0 0) into 0 3.684 * [taylor]: Taking taylor expansion of 0 in y 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [taylor]: Taking taylor expansion of 0 in y 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [taylor]: Taking taylor expansion of 0 in y 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) 1))) into (+ (* 2 x) y) 3.688 * [backup-simplify]: Simplify (* (sqrt (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) (sqrt (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))))) into (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) 3.688 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in (x y) around 0 3.689 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in y 3.689 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in y 3.689 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 3.689 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.689 * [taylor]: Taking taylor expansion of y in y 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (/ 1 1) into 1 3.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.689 * [taylor]: Taking taylor expansion of 2 in y 3.689 * [backup-simplify]: Simplify 2 into 2 3.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.689 * [taylor]: Taking taylor expansion of x in y 3.689 * [backup-simplify]: Simplify x into x 3.689 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.689 * [backup-simplify]: Simplify (+ 1 0) into 1 3.690 * [backup-simplify]: Simplify (- 1) into -1 3.690 * [backup-simplify]: Simplify (sqrt 0) into 0 3.690 * [backup-simplify]: Simplify (- 1) into -1 3.691 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.691 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 3.691 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 3.691 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 3.691 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.691 * [taylor]: Taking taylor expansion of y in x 3.691 * [backup-simplify]: Simplify y into y 3.691 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.691 * [taylor]: Taking taylor expansion of 2 in x 3.691 * [backup-simplify]: Simplify 2 into 2 3.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [backup-simplify]: Simplify (* 2 1) into 2 3.692 * [backup-simplify]: Simplify (+ 0 2) into 2 3.692 * [backup-simplify]: Simplify (- 2) into -2 3.693 * [backup-simplify]: Simplify (sqrt 0) into 0 3.693 * [backup-simplify]: Simplify (- 2) into -2 3.695 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 3.695 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 3.695 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 3.695 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 3.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.695 * [taylor]: Taking taylor expansion of y in x 3.695 * [backup-simplify]: Simplify y into y 3.695 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.695 * [taylor]: Taking taylor expansion of 2 in x 3.695 * [backup-simplify]: Simplify 2 into 2 3.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [backup-simplify]: Simplify (* 2 1) into 2 3.696 * [backup-simplify]: Simplify (+ 0 2) into 2 3.697 * [backup-simplify]: Simplify (- 2) into -2 3.697 * [backup-simplify]: Simplify (sqrt 0) into 0 3.697 * [backup-simplify]: Simplify (- 2) into -2 3.699 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 3.699 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 3.699 * [taylor]: Taking taylor expansion of +nan.0 in y 3.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.701 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.701 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.702 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 y) (- +nan.0))) 3.703 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (/ 1 y) (- +nan.0)))) (* (* +nan.0 (+ (/ 1 y) (- +nan.0))) +nan.0)) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 3.703 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 3.703 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 3.703 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 3.703 * [taylor]: Taking taylor expansion of +nan.0 in y 3.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.703 * [taylor]: Taking taylor expansion of y in y 3.703 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.704 * [taylor]: Taking taylor expansion of +nan.0 in y 3.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 3.706 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.707 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 3.707 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 3.708 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (- 0) into 0 3.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 y) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0)))