30.226 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.015 * * [simplify]: Extracting # 0 : cost 0 0.015 * * [simplify]: Extracting # 1 : cost 0 0.015 * * [simplify]: Extracting # 2 : cost 0 0.015 * * [simplify]: Extracting # 3 : cost 0 0.015 * * [simplify]: Extracting # 4 : cost 0 0.015 * * [simplify]: Extracting # 5 : cost 0 0.015 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.016 * * [simplify]: Extracting # 0 : cost 0 0.016 * * [simplify]: Extracting # 1 : cost 0 0.016 * * [simplify]: Extracting # 2 : cost 0 0.016 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: iteration 2 : 12 enodes (cost 7 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.022 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.070 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.071 * [taylor]: Taking taylor expansion of 2 in y 0.071 * [backup-simplify]: Simplify 2 into 2 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.071 * [taylor]: Taking taylor expansion of 2 in x 0.071 * [backup-simplify]: Simplify 2 into 2 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.071 * [taylor]: Taking taylor expansion of 2 in x 0.071 * [backup-simplify]: Simplify 2 into 2 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.071 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.071 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.071 * [taylor]: Taking taylor expansion of 2 in y 0.071 * [backup-simplify]: Simplify 2 into 2 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* 2 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) 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 0.073 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.073 * [backup-simplify]: Simplify 2 into 2 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.077 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.077 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.077 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [backup-simplify]: Simplify 2 into 2 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of 2 in x 0.078 * [backup-simplify]: Simplify 2 into 2 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of 2 in x 0.079 * [backup-simplify]: Simplify 2 into 2 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.082 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of 2 in y 0.082 * [backup-simplify]: Simplify 2 into 2 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (* 2 1) into 2 0.082 * [backup-simplify]: Simplify 2 into 2 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.087 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.088 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) 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 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 (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 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 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) 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 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 (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) 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 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) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) 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 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.092 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.092 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.092 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of 2 in y 0.092 * [backup-simplify]: Simplify 2 into 2 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 0.093 * [backup-simplify]: Simplify (* 2 1) into 2 0.093 * [backup-simplify]: Simplify (- 2) into -2 0.093 * [backup-simplify]: Simplify -2 into -2 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.099 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.099 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.099 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (+ 0 y) into y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (+ 0 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 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.101 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.101 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [backup-simplify]: Simplify x into x 0.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [backup-simplify]: Simplify y into y 0.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.103 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.110 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.110 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.114 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (- 1) into -1 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.119 * * * [progress]: simplifying candidates 0.120 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.120 * * [simplify]: Extracting # 1 : cost 0 0.120 * * [simplify]: Extracting # 2 : cost 0 0.120 * * [simplify]: Extracting # 3 : cost 0 0.120 * * [simplify]: Extracting # 4 : cost 0 0.120 * * [simplify]: Extracting # 5 : cost 0 0.120 * * [simplify]: Extracting # 6 : cost 0 0.121 * * [simplify]: iteration 0 : 48 enodes (cost 310 ) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: Extracting # 3 : cost 0 0.132 * * [simplify]: Extracting # 4 : cost 0 0.132 * * [simplify]: iteration 1 : 134 enodes (cost 292 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.173 * * [simplify]: Extracting # 1 : cost 0 0.174 * * [simplify]: Extracting # 2 : cost 0 0.174 * * [simplify]: Extracting # 3 : cost 0 0.174 * * [simplify]: Extracting # 4 : cost 0 0.175 * * [simplify]: iteration 2 : 387 enodes (cost 262 ) 0.335 * * [simplify]: Extracting # 0 : cost 0 0.336 * * [simplify]: Extracting # 1 : cost 0 0.337 * * [simplify]: Extracting # 2 : cost 0 0.339 * * [simplify]: Extracting # 3 : cost 0 0.339 * * [simplify]: Extracting # 4 : cost 0 0.340 * * [simplify]: iteration 3 : 1187 enodes (cost 252 ) 1.062 * * [simplify]: Extracting # 0 : cost 0 1.068 * * [simplify]: Extracting # 1 : cost 0 1.073 * * [simplify]: Extracting # 2 : cost 0 1.078 * * [simplify]: Extracting # 3 : cost 0 1.089 * * [simplify]: Extracting # 4 : cost 0 1.094 * * [simplify]: iteration done: 5000 enodes (cost 250 ) 1.094 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 2 y))) (exp (+ (pow x 2) (* 2 y))) (log (+ (+ (* x x) y) y)) (exp (+ (pow x 2) (* 2 y))) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (pow x 2) (* 2 y)) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (* x x) (+ (pow x 2) (* 2 y))) (* x x) (+ (pow x 2) (* 2 y)) (* 2 y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.094 * * * [progress]: adding candidates to table 1.143 * * [progress]: iteration 2 / 4 1.143 * * * [progress]: picking best candidate 1.144 * * * * [pick]: Picked # 1.144 * * * [progress]: localizing error 1.148 * * * [progress]: generating rewritten candidates 1.149 * * * [progress]: generating series expansions 1.149 * * * [progress]: simplifying candidates 1.149 * [simplify]: Simplifying: 1.149 * * [simplify]: Extracting # 0 : cost 0 1.149 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.149 * * [simplify]: Extracting # 0 : cost 0 1.149 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.149 * [simplify]: Simplified to: 1.149 * * * [progress]: adding candidates to table 1.149 * [progress]: [Phase 3 of 3] Extracting. 1.150 * [simplify]: Simplifying: (+ (* x x) (* 2 y)) 1.150 * * [simplify]: Extracting # 0 : cost 0 1.150 * * [simplify]: Extracting # 1 : cost 0 1.150 * * [simplify]: Extracting # 2 : cost 0 1.150 * * [simplify]: Extracting # 3 : cost 0 1.150 * * [simplify]: Extracting # 4 : cost 0 1.151 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 1.151 * * [simplify]: Extracting # 0 : cost 0 1.151 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 1.151 * * [simplify]: Extracting # 0 : cost 0 1.151 * * [simplify]: iteration done: 8 enodes (cost 7 ) 1.151 * [simplify]: Simplified to: (+ (* x x) (* 2 y)) 1.590 * [regime-testing]: End program error score: 0.004000500062507814 1.608 * [regime-testing]: Target error score: 0.004000500062507814