20.968 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.023 * * [simplify]: iteration 0: 6 enodes 0.024 * * [simplify]: iteration 1: 7 enodes 0.024 * * [simplify]: iteration complete: 7 enodes 0.024 * * [simplify]: Extracting #0: cost 1 inf + 0 0.024 * * [simplify]: Extracting #1: cost 2 inf + 0 0.024 * * [simplify]: Extracting #2: cost 4 inf + 0 0.024 * * [simplify]: Extracting #3: cost 6 inf + 0 0.024 * * [simplify]: Extracting #4: cost 3 inf + 5 0.024 * * [simplify]: Extracting #5: cost 0 inf + 23 0.024 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.057 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.057 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.057 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.057 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.057 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.057 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.059 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.059 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.060 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.060 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.063 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.067 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [backup-simplify]: Simplify x into x 0.068 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.069 * [backup-simplify]: Simplify (+ 1 0) into 1 0.069 * [backup-simplify]: Simplify (sqrt 1) into 1 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [backup-simplify]: Simplify (+ 0 1) into 1 0.073 * [backup-simplify]: Simplify (sqrt 1) into 1 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ 0 1) into 1 0.077 * [backup-simplify]: Simplify (sqrt 1) into 1 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) 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 (pow y 2) 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 0.083 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (+ 0 1) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ 0 1) into 1 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.104 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.104 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of 1/2 in y 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.111 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.111 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.111 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [backup-simplify]: Simplify x into x 0.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 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 0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.112 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.119 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.119 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 0.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.122 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.138 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.138 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.150 * * * [progress]: simplifying candidates 0.150 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y 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) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.151 * * [simplify]: iteration 0: 48 enodes 0.159 * * [simplify]: iteration 1: 142 enodes 0.212 * * [simplify]: iteration 2: 770 enodes 0.405 * * [simplify]: iteration complete: 5000 enodes 0.405 * * [simplify]: Extracting #0: cost 28 inf + 0 0.405 * * [simplify]: Extracting #1: cost 262 inf + 4 0.409 * * [simplify]: Extracting #2: cost 1739 inf + 155 0.417 * * [simplify]: Extracting #3: cost 1667 inf + 4154 0.427 * * [simplify]: Extracting #4: cost 347 inf + 16400 0.436 * * [simplify]: Extracting #5: cost 43 inf + 19427 0.445 * * [simplify]: Extracting #6: cost 0 inf + 19785 0.459 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (* x x) (* y 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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow y 4) (* (* x x) (* (+ x y) (- x y)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.459 * * * [progress]: adding candidates to table 0.593 * * [progress]: iteration 2 / 4 0.593 * * * [progress]: picking best candidate 0.615 * * * * [pick]: Picked # 0.615 * * * [progress]: localizing error 0.631 * * * [progress]: generating rewritten candidates 0.631 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.637 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.736 * * * [progress]: generating series expansions 0.736 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.736 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.736 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.736 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [backup-simplify]: Simplify x into x 0.736 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.736 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.737 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.737 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [backup-simplify]: Simplify y into y 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.738 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.738 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.738 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.739 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [backup-simplify]: Simplify y into y 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.739 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.739 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.739 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.741 * [backup-simplify]: Simplify (* 1 1) into 1 0.741 * [backup-simplify]: Simplify (+ 0 1) into 1 0.742 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.742 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.742 * [taylor]: Taking taylor expansion of 1/2 in y 0.742 * [backup-simplify]: Simplify 1/2 into 1/2 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.747 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.747 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* 1 1) into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [backup-simplify]: Simplify x into x 0.748 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.748 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.749 * [backup-simplify]: Simplify (+ 1 0) into 1 0.749 * [backup-simplify]: Simplify (sqrt 1) into 1 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.751 * [backup-simplify]: Simplify y into y 0.751 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.752 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.753 * [backup-simplify]: Simplify (+ 0 1) into 1 0.753 * [backup-simplify]: Simplify (sqrt 1) into 1 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [backup-simplify]: Simplify y into y 0.755 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.756 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [backup-simplify]: Simplify (+ 0 1) into 1 0.757 * [backup-simplify]: Simplify (sqrt 1) into 1 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.760 * [taylor]: Taking taylor expansion of 1 in y 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.763 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.763 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.763 * [taylor]: Taking taylor expansion of 1/2 in y 0.763 * [backup-simplify]: Simplify 1/2 into 1/2 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.771 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.771 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [backup-simplify]: Simplify x into x 0.773 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.773 * [backup-simplify]: Simplify (+ 1 0) into 1 0.774 * [backup-simplify]: Simplify (sqrt 1) into 1 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [backup-simplify]: Simplify y into y 0.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.777 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [backup-simplify]: Simplify (+ 0 1) into 1 0.778 * [backup-simplify]: Simplify (sqrt 1) into 1 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [backup-simplify]: Simplify y into y 0.781 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.781 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [backup-simplify]: Simplify (+ 0 1) into 1 0.783 * [backup-simplify]: Simplify (sqrt 1) into 1 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.785 * [taylor]: Taking taylor expansion of 1 in y 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.789 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.789 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of 1/2 in y 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.794 * [taylor]: Taking taylor expansion of 0 in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.796 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.796 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.796 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.796 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [backup-simplify]: Simplify x into x 0.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.796 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.796 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.796 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.797 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [backup-simplify]: Simplify y into y 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.797 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.797 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.797 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.798 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.798 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.798 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.798 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.798 * [taylor]: Taking taylor expansion of y in y 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.799 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (+ 0 1) into 1 0.800 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.800 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.800 * [taylor]: Taking taylor expansion of 1/2 in y 0.800 * [backup-simplify]: Simplify 1/2 into 1/2 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.803 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.803 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.804 * [taylor]: Taking taylor expansion of x in y 0.804 * [backup-simplify]: Simplify x into x 0.804 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.804 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.804 * [backup-simplify]: Simplify (+ 1 0) into 1 0.805 * [backup-simplify]: Simplify (sqrt 1) into 1 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [backup-simplify]: Simplify y into y 0.806 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.806 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [backup-simplify]: Simplify (+ 0 1) into 1 0.808 * [backup-simplify]: Simplify (sqrt 1) into 1 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [backup-simplify]: Simplify y into y 0.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.809 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [backup-simplify]: Simplify (+ 0 1) into 1 0.810 * [backup-simplify]: Simplify (sqrt 1) into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.812 * [taylor]: Taking taylor expansion of 1 in y 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.819 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.819 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of 1/2 in y 0.820 * [backup-simplify]: Simplify 1/2 into 1/2 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.829 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.829 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (* 1 1) into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [backup-simplify]: Simplify x into x 0.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.831 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.831 * [backup-simplify]: Simplify (+ 1 0) into 1 0.832 * [backup-simplify]: Simplify (sqrt 1) into 1 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [backup-simplify]: Simplify y into y 0.834 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.835 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (+ 0 1) into 1 0.836 * [backup-simplify]: Simplify (sqrt 1) into 1 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [backup-simplify]: Simplify y into y 0.839 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (* 1 1) into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [backup-simplify]: Simplify (+ 0 1) into 1 0.841 * [backup-simplify]: Simplify (sqrt 1) into 1 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.843 * [taylor]: Taking taylor expansion of 1 in y 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.847 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.847 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of 1/2 in y 0.847 * [backup-simplify]: Simplify 1/2 into 1/2 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.855 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.856 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow y 2) (pow x 2))) 0.856 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.856 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [backup-simplify]: Simplify x into x 0.856 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.856 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.856 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.856 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.857 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [backup-simplify]: Simplify y into y 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.857 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.857 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.858 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.858 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.858 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [backup-simplify]: Simplify y into y 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.859 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.859 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.859 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.860 * [backup-simplify]: Simplify (* 1 1) into 1 0.861 * [backup-simplify]: Simplify (+ 0 1) into 1 0.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.862 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.862 * [taylor]: Taking taylor expansion of 1/2 in y 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.867 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.867 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [backup-simplify]: Simplify x into x 0.868 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.868 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.868 * [backup-simplify]: Simplify (+ 1 0) into 1 0.869 * [backup-simplify]: Simplify (sqrt 1) into 1 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [backup-simplify]: Simplify y into y 0.871 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.871 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [backup-simplify]: Simplify (+ 0 1) into 1 0.873 * [backup-simplify]: Simplify (sqrt 1) into 1 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.875 * [backup-simplify]: Simplify y into y 0.875 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.876 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (* 1 1) into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.877 * [backup-simplify]: Simplify (+ 0 1) into 1 0.877 * [backup-simplify]: Simplify (sqrt 1) into 1 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.880 * [taylor]: Taking taylor expansion of 1 in y 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.882 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.882 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.882 * [taylor]: Taking taylor expansion of 1/2 in y 0.882 * [backup-simplify]: Simplify 1/2 into 1/2 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.888 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.888 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (* 1 1) into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.889 * [taylor]: Taking taylor expansion of x in y 0.889 * [backup-simplify]: Simplify x into x 0.889 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.890 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.890 * [backup-simplify]: Simplify (sqrt 1) into 1 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [backup-simplify]: Simplify y into y 0.893 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.893 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [backup-simplify]: Simplify (+ 0 1) into 1 0.895 * [backup-simplify]: Simplify (sqrt 1) into 1 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [backup-simplify]: Simplify y into y 0.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.897 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (+ 0 1) into 1 0.899 * [backup-simplify]: Simplify (sqrt 1) into 1 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.901 * [taylor]: Taking taylor expansion of 1 in y 0.901 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.904 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.904 * [taylor]: Taking taylor expansion of 1/2 in y 0.904 * [backup-simplify]: Simplify 1/2 into 1/2 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.910 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.910 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.910 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [backup-simplify]: Simplify x into x 0.910 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [backup-simplify]: Simplify y into y 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [backup-simplify]: Simplify y into y 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.910 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.911 * [backup-simplify]: Simplify (* 1 1) into 1 0.911 * [backup-simplify]: Simplify (+ 0 1) into 1 0.912 * [taylor]: Taking taylor expansion of 1 in y 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (* 1 1) into 1 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.915 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.915 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (* 1 1) into 1 0.916 * [backup-simplify]: Simplify (/ 1 1) into 1 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.916 * [taylor]: Taking taylor expansion of x in y 0.916 * [backup-simplify]: Simplify x into x 0.916 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.916 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [backup-simplify]: Simplify y into y 0.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (/ 1 1) into 1 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [backup-simplify]: Simplify y into y 0.917 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.917 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (* 1 1) into 1 0.918 * [backup-simplify]: Simplify (/ 1 1) into 1 0.918 * [backup-simplify]: Simplify (+ 0 1) into 1 0.918 * [taylor]: Taking taylor expansion of 1 in y 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (* 1 1) into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.931 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.931 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [backup-simplify]: Simplify x into x 0.931 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.932 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [backup-simplify]: Simplify y into y 0.932 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (* 1 1) into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [backup-simplify]: Simplify y into y 0.932 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.933 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify (+ 0 1) into 1 0.934 * [taylor]: Taking taylor expansion of 1 in y 0.934 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [backup-simplify]: Simplify (* 1 1) into 1 0.939 * [backup-simplify]: Simplify (/ 1 1) into 1 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.953 * * * [progress]: simplifying candidates 0.956 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) 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(sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (exp (* x x)) (exp (* y 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) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.960 * * [simplify]: iteration 0: 121 enodes 1.017 * * [simplify]: iteration 1: 292 enodes 1.182 * * [simplify]: iteration 2: 1649 enodes 2.193 * * [simplify]: iteration complete: 5000 enodes 2.193 * * [simplify]: Extracting #0: cost 42 inf + 0 2.197 * * [simplify]: Extracting #1: cost 1346 inf + 7 2.204 * * [simplify]: Extracting #2: cost 1715 inf + 43 2.211 * * [simplify]: Extracting #3: cost 1541 inf + 1354 2.219 * * [simplify]: Extracting #4: cost 783 inf + 13036 2.228 * * [simplify]: Extracting #5: cost 310 inf + 22237 2.238 * * [simplify]: Extracting #6: cost 38 inf + 28750 2.244 * * [simplify]: Extracting #7: cost 0 inf + 29672 2.252 * [simplify]: Simplified to: (log (sqrt (+ (pow y 2) (pow x 2)))) (exp (sqrt (+ (pow y 2) (pow x 2)))) (* (cbrt (sqrt (+ (pow y 2) (pow x 2)))) (cbrt (sqrt (+ (pow y 2) (pow x 2))))) (cbrt (sqrt (+ (pow y 2) (pow x 2)))) (pow (sqrt (+ (pow y 2) (pow x 2))) 3) (fabs (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))) 1 (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (* y (* y (- (pow y 2) (pow x 2)))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (log (sqrt (+ (pow y 2) (pow x 2)))) (exp (sqrt (+ (pow y 2) (pow x 2)))) (* (cbrt (sqrt (+ (pow y 2) (pow x 2)))) (cbrt (sqrt (+ (pow y 2) (pow x 2))))) (cbrt (sqrt (+ (pow y 2) (pow x 2)))) (pow (sqrt (+ (pow 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y 2) (pow x 2))) (+ (pow x 6) (pow y 6)) (+ (* y (* y (- (pow y 2) (pow x 2)))) (pow x 4)) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) y x (- x) y x (- x) y x (- x) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 2.253 * * * [progress]: adding candidates to table 2.717 * * [progress]: iteration 3 / 4 2.717 * * * [progress]: picking best candidate 2.732 * * * * [pick]: Picked # 2.732 * * * [progress]: localizing error 2.779 * * * [progress]: generating rewritten candidates 2.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 2.790 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.794 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.817 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.874 * * * [progress]: generating series expansions 2.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 2.874 * [backup-simplify]: Simplify (cbrt (+ (pow y 2) (pow x 2))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 2.874 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (y x) around 0 2.874 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 2.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 2.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 2.874 * [taylor]: Taking taylor expansion of 1/3 in x 2.874 * [backup-simplify]: Simplify 1/3 into 1/3 2.874 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 2.874 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.874 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.874 * [taylor]: Taking taylor expansion of y in x 2.874 * [backup-simplify]: Simplify y into y 2.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.875 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.875 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.875 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.875 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.875 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 2.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 2.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 2.875 * [taylor]: Taking taylor expansion of 1/3 in y 2.875 * [backup-simplify]: Simplify 1/3 into 1/3 2.875 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 2.875 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.875 * [taylor]: Taking taylor expansion of y in y 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.875 * [taylor]: Taking taylor expansion of x in y 2.875 * [backup-simplify]: Simplify x into x 2.875 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.875 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.875 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.875 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.875 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.875 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 2.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 2.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 2.875 * [taylor]: Taking taylor expansion of 1/3 in y 2.876 * [backup-simplify]: Simplify 1/3 into 1/3 2.876 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 2.876 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.876 * [taylor]: Taking taylor expansion of y in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.876 * [taylor]: Taking taylor expansion of x in y 2.876 * [backup-simplify]: Simplify x into x 2.876 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.876 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.876 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.876 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.876 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.876 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.876 * [taylor]: Taking taylor expansion of 1/3 in x 2.876 * [backup-simplify]: Simplify 1/3 into 1/3 2.876 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (* 1 1) into 1 2.877 * [backup-simplify]: Simplify (log 1) into 0 2.877 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.877 * [backup-simplify]: Simplify (* 1/3 (* 2 (log x))) into (* 2/3 (log x)) 2.877 * [backup-simplify]: Simplify (exp (* 2/3 (log x))) into (pow x 2/3) 2.878 * [backup-simplify]: Simplify (pow x 2/3) into (pow x 2/3) 2.878 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.879 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow x 2)))) into 0 2.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.881 * [taylor]: Taking taylor expansion of 0 in x 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.882 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.883 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log x)))) into 0 2.883 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (* 1 1) into 1 2.884 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.884 * [backup-simplify]: Simplify (+ 1 0) into 1 2.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow x 2) 1)))) 2) into (/ 1 (pow x 2)) 2.887 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/3 (/ 1 (pow x 2))) 2.888 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 2.888 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) in x 2.888 * [taylor]: Taking taylor expansion of 1/3 in x 2.888 * [backup-simplify]: Simplify 1/3 into 1/3 2.888 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 2.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 2.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 2.888 * [taylor]: Taking taylor expansion of 1/3 in x 2.888 * [backup-simplify]: Simplify 1/3 into 1/3 2.888 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.888 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (* 1 1) into 1 2.889 * [backup-simplify]: Simplify (* 1 1) into 1 2.889 * [backup-simplify]: Simplify (/ 1 1) into 1 2.889 * [backup-simplify]: Simplify (log 1) into 0 2.890 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 2.890 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 2.890 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 2.890 * [backup-simplify]: Simplify (* 1/3 (pow x -4/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 2.890 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 2.890 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.892 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.893 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log x))))) into 0 2.894 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.895 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow x 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow x 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow x 2) 1)))) 6) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2)))))) into 0 2.899 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.899 * [taylor]: Taking taylor expansion of 0 in x 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.901 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 2.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 2.902 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow x -4/3))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.906 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log x)))))) into 0 2.908 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (* 1 y) 2)) (pow x 2/3)) into (+ (pow x 2/3) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2)))) 2.909 * [backup-simplify]: Simplify (cbrt (+ (pow (/ 1 y) 2) (pow (/ 1 x) 2))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 2.909 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (y x) around 0 2.909 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 2.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.909 * [taylor]: Taking taylor expansion of 1/3 in x 2.909 * [backup-simplify]: Simplify 1/3 into 1/3 2.909 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.909 * [taylor]: Taking taylor expansion of y in x 2.909 * [backup-simplify]: Simplify y into y 2.909 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.909 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [backup-simplify]: Simplify (+ 0 1) into 1 2.910 * [backup-simplify]: Simplify (log 1) into 0 2.911 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.911 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.911 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.911 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 2.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.911 * [taylor]: Taking taylor expansion of 1/3 in y 2.911 * [backup-simplify]: Simplify 1/3 into 1/3 2.911 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.911 * [taylor]: Taking taylor expansion of y in y 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (* 1 1) into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.911 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.911 * [taylor]: Taking taylor expansion of x in y 2.911 * [backup-simplify]: Simplify x into x 2.911 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.912 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.912 * [backup-simplify]: Simplify (+ 1 0) into 1 2.912 * [backup-simplify]: Simplify (log 1) into 0 2.912 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.912 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.912 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.913 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 2.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.913 * [taylor]: Taking taylor expansion of 1/3 in y 2.913 * [backup-simplify]: Simplify 1/3 into 1/3 2.913 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.913 * [taylor]: Taking taylor expansion of y in y 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.913 * [taylor]: Taking taylor expansion of x in y 2.913 * [backup-simplify]: Simplify x into x 2.913 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (log 1) into 0 2.914 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.914 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.914 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.914 * [taylor]: Taking taylor expansion of (pow y -2/3) in x 2.914 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log y))) in x 2.914 * [taylor]: Taking taylor expansion of (* -2/3 (log y)) in x 2.914 * [taylor]: Taking taylor expansion of -2/3 in x 2.914 * [backup-simplify]: Simplify -2/3 into -2/3 2.914 * [taylor]: Taking taylor expansion of (log y) in x 2.914 * [taylor]: Taking taylor expansion of y in x 2.914 * [backup-simplify]: Simplify y into y 2.914 * [backup-simplify]: Simplify (log y) into (log y) 2.915 * [backup-simplify]: Simplify (* -2/3 (log y)) into (* -2/3 (log y)) 2.915 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.915 * [backup-simplify]: Simplify (pow y -2/3) into (pow y -2/3) 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.917 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 2.918 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.918 * [taylor]: Taking taylor expansion of 0 in x 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 2.918 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log y))) into 0 2.919 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 2.922 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.922 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/3 (/ 1 (pow x 2))) 2.923 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 2.923 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x 2.923 * [taylor]: Taking taylor expansion of 1/3 in x 2.923 * [backup-simplify]: Simplify 1/3 into 1/3 2.923 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (* 1 1) into 1 2.923 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 2.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 2.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 2.923 * [taylor]: Taking taylor expansion of 1/3 in x 2.923 * [backup-simplify]: Simplify 1/3 into 1/3 2.923 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.923 * [taylor]: Taking taylor expansion of y in x 2.923 * [backup-simplify]: Simplify y into y 2.923 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.924 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2))) 2.924 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2)))) 2.924 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3) 2.924 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0 2.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0 2.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0 2.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0 2.929 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0 2.933 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3) 2.934 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow y 1)))) 2) into 0 2.935 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log y)))) into 0 2.936 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.942 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 2.944 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.944 * [taylor]: Taking taylor expansion of 0 in x 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (pow (/ 1 y) -2/3) into (pow (/ 1 y) -2/3) 2.944 * [backup-simplify]: Simplify (cbrt (+ (pow (/ 1 (- y)) 2) (pow (/ 1 (- x)) 2))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 2.944 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (y x) around 0 2.944 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 2.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.944 * [taylor]: Taking taylor expansion of 1/3 in x 2.944 * [backup-simplify]: Simplify 1/3 into 1/3 2.944 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.944 * [taylor]: Taking taylor expansion of y in x 2.944 * [backup-simplify]: Simplify y into y 2.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.944 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.944 * [taylor]: Taking taylor expansion of x in x 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (* 1 1) into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [backup-simplify]: Simplify (+ 0 1) into 1 2.945 * [backup-simplify]: Simplify (log 1) into 0 2.946 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.946 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.946 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.946 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 2.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.946 * [taylor]: Taking taylor expansion of 1/3 in y 2.946 * [backup-simplify]: Simplify 1/3 into 1/3 2.946 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.946 * [taylor]: Taking taylor expansion of y in y 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.947 * [taylor]: Taking taylor expansion of x in y 2.947 * [backup-simplify]: Simplify x into x 2.947 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.947 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.947 * [backup-simplify]: Simplify (+ 1 0) into 1 2.947 * [backup-simplify]: Simplify (log 1) into 0 2.948 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.948 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.948 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.948 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 2.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.948 * [taylor]: Taking taylor expansion of 1/3 in y 2.948 * [backup-simplify]: Simplify 1/3 into 1/3 2.948 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.948 * [taylor]: Taking taylor expansion of y in y 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (* 1 1) into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.948 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.948 * [taylor]: Taking taylor expansion of x in y 2.948 * [backup-simplify]: Simplify x into x 2.948 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.949 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.949 * [backup-simplify]: Simplify (+ 1 0) into 1 2.949 * [backup-simplify]: Simplify (log 1) into 0 2.949 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.949 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.949 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.949 * [taylor]: Taking taylor expansion of (pow y -2/3) in x 2.950 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log y))) in x 2.950 * [taylor]: Taking taylor expansion of (* -2/3 (log y)) in x 2.950 * [taylor]: Taking taylor expansion of -2/3 in x 2.950 * [backup-simplify]: Simplify -2/3 into -2/3 2.950 * [taylor]: Taking taylor expansion of (log y) in x 2.950 * [taylor]: Taking taylor expansion of y in x 2.950 * [backup-simplify]: Simplify y into y 2.950 * [backup-simplify]: Simplify (log y) into (log y) 2.950 * [backup-simplify]: Simplify (* -2/3 (log y)) into (* -2/3 (log y)) 2.950 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.950 * [backup-simplify]: Simplify (pow y -2/3) into (pow y -2/3) 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.952 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.952 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 2.953 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.953 * [taylor]: Taking taylor expansion of 0 in x 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 2.954 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log y))) into 0 2.954 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 2.957 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.957 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/3 (/ 1 (pow x 2))) 2.958 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 2.958 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x 2.958 * [taylor]: Taking taylor expansion of 1/3 in x 2.958 * [backup-simplify]: Simplify 1/3 into 1/3 2.958 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x 2.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.958 * [taylor]: Taking taylor expansion of x in x 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (* 1 1) into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 2.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 2.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 2.959 * [taylor]: Taking taylor expansion of 1/3 in x 2.959 * [backup-simplify]: Simplify 1/3 into 1/3 2.959 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.959 * [taylor]: Taking taylor expansion of y in x 2.959 * [backup-simplify]: Simplify y into y 2.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.959 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2))) 2.959 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2)))) 2.959 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3) 2.959 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0 2.961 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0 2.961 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0 2.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0 2.964 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0 2.967 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3) 2.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow y 1)))) 2) into 0 2.970 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log y)))) into 0 2.971 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.979 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 2.982 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.982 * [taylor]: Taking taylor expansion of 0 in x 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (pow (/ 1 (- y)) -2/3) into (pow (/ -1 y) -2/3) 2.983 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 2.983 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 2.983 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 2.983 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 2.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 2.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 2.983 * [taylor]: Taking taylor expansion of 1/3 in y 2.983 * [backup-simplify]: Simplify 1/3 into 1/3 2.983 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 2.983 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.983 * [taylor]: Taking taylor expansion of y in y 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.983 * [taylor]: Taking taylor expansion of x in y 2.983 * [backup-simplify]: Simplify x into x 2.983 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.983 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.983 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.984 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.984 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.984 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 2.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 2.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 2.984 * [taylor]: Taking taylor expansion of 1/3 in x 2.984 * [backup-simplify]: Simplify 1/3 into 1/3 2.984 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 2.984 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.984 * [taylor]: Taking taylor expansion of y in x 2.984 * [backup-simplify]: Simplify y into y 2.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.984 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.984 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.984 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.984 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.984 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 2.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 2.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 2.985 * [taylor]: Taking taylor expansion of 1/3 in x 2.985 * [backup-simplify]: Simplify 1/3 into 1/3 2.985 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 2.985 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.985 * [taylor]: Taking taylor expansion of y in x 2.985 * [backup-simplify]: Simplify y into y 2.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.985 * [taylor]: Taking taylor expansion of x in x 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.985 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.985 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.985 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.985 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.985 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 2.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 2.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 2.985 * [taylor]: Taking taylor expansion of 1/3 in y 2.985 * [backup-simplify]: Simplify 1/3 into 1/3 2.985 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.985 * [taylor]: Taking taylor expansion of y in y 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.986 * [backup-simplify]: Simplify (log 1) into 0 2.986 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.986 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 2.986 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 2.986 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 2.986 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.987 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 2.988 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.988 * [taylor]: Taking taylor expansion of 0 in y 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.989 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 2.990 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.991 * [backup-simplify]: Simplify (* 1 1) into 1 2.991 * [backup-simplify]: Simplify (+ 0 1) into 1 2.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 2.993 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 2.993 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.993 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 2.993 * [taylor]: Taking taylor expansion of 1/3 in y 2.993 * [backup-simplify]: Simplify 1/3 into 1/3 2.993 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 2.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 2.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 2.993 * [taylor]: Taking taylor expansion of 1/3 in y 2.993 * [backup-simplify]: Simplify 1/3 into 1/3 2.993 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.994 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.994 * [taylor]: Taking taylor expansion of y in y 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [backup-simplify]: Simplify (log 1) into 0 2.995 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.995 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 2.995 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 2.995 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.995 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.995 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.999 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 3.001 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.002 * [backup-simplify]: Simplify (+ 0 0) into 0 3.005 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 3.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.008 * [taylor]: Taking taylor expansion of 0 in y 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.012 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 3.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 3.013 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.017 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 3.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 3.019 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 3.019 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 3.019 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 3.019 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 3.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.019 * [taylor]: Taking taylor expansion of 1/3 in y 3.019 * [backup-simplify]: Simplify 1/3 into 1/3 3.019 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.019 * [taylor]: Taking taylor expansion of y in y 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 1 into 1 3.020 * [backup-simplify]: Simplify (* 1 1) into 1 3.020 * [backup-simplify]: Simplify (/ 1 1) into 1 3.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.020 * [taylor]: Taking taylor expansion of x in y 3.020 * [backup-simplify]: Simplify x into x 3.020 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.020 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.020 * [backup-simplify]: Simplify (+ 1 0) into 1 3.021 * [backup-simplify]: Simplify (log 1) into 0 3.021 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.021 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 3.021 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 3.021 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 3.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.021 * [taylor]: Taking taylor expansion of 1/3 in x 3.021 * [backup-simplify]: Simplify 1/3 into 1/3 3.021 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.021 * [taylor]: Taking taylor expansion of y in x 3.021 * [backup-simplify]: Simplify y into y 3.021 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.022 * [taylor]: Taking taylor expansion of x in x 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.022 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [backup-simplify]: Simplify (+ 0 1) into 1 3.023 * [backup-simplify]: Simplify (log 1) into 0 3.023 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.023 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.023 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.023 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 3.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.023 * [taylor]: Taking taylor expansion of 1/3 in x 3.023 * [backup-simplify]: Simplify 1/3 into 1/3 3.023 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.023 * [taylor]: Taking taylor expansion of y in x 3.023 * [backup-simplify]: Simplify y into y 3.023 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.023 * [taylor]: Taking taylor expansion of x in x 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (* 1 1) into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [backup-simplify]: Simplify (+ 0 1) into 1 3.024 * [backup-simplify]: Simplify (log 1) into 0 3.025 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.025 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.025 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.025 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 3.025 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 3.025 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 3.025 * [taylor]: Taking taylor expansion of -2/3 in y 3.025 * [backup-simplify]: Simplify -2/3 into -2/3 3.025 * [taylor]: Taking taylor expansion of (log x) in y 3.025 * [taylor]: Taking taylor expansion of x in y 3.025 * [backup-simplify]: Simplify x into x 3.025 * [backup-simplify]: Simplify (log x) into (log x) 3.025 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 3.025 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.025 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.027 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.028 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 3.028 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.028 * [taylor]: Taking taylor expansion of 0 in y 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.029 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 3.030 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 3.032 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.033 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 3.033 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 3.033 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 3.033 * [taylor]: Taking taylor expansion of 1/3 in y 3.033 * [backup-simplify]: Simplify 1/3 into 1/3 3.033 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 3.033 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 3.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 3.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 3.033 * [taylor]: Taking taylor expansion of 1/3 in y 3.033 * [backup-simplify]: Simplify 1/3 into 1/3 3.033 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.033 * [taylor]: Taking taylor expansion of x in y 3.033 * [backup-simplify]: Simplify x into x 3.033 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.034 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.034 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 3.034 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 3.034 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 3.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.034 * [taylor]: Taking taylor expansion of y in y 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (* 1 1) into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 3.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 3.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 3.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 3.041 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.042 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.042 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 3.042 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 3.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.045 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.045 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.049 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.051 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.051 * [taylor]: Taking taylor expansion of 0 in y 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 3.052 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 3.052 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 3.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 3.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.052 * [taylor]: Taking taylor expansion of 1/3 in y 3.052 * [backup-simplify]: Simplify 1/3 into 1/3 3.052 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.052 * [taylor]: Taking taylor expansion of y in y 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (* 1 1) into 1 3.052 * [backup-simplify]: Simplify (/ 1 1) into 1 3.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.052 * [taylor]: Taking taylor expansion of x in y 3.052 * [backup-simplify]: Simplify x into x 3.052 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.053 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.053 * [backup-simplify]: Simplify (+ 1 0) into 1 3.053 * [backup-simplify]: Simplify (log 1) into 0 3.053 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.053 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 3.053 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 3.054 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 3.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.054 * [taylor]: Taking taylor expansion of 1/3 in x 3.054 * [backup-simplify]: Simplify 1/3 into 1/3 3.054 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.054 * [taylor]: Taking taylor expansion of y in x 3.054 * [backup-simplify]: Simplify y into y 3.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.054 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (* 1 1) into 1 3.054 * [backup-simplify]: Simplify (/ 1 1) into 1 3.055 * [backup-simplify]: Simplify (+ 0 1) into 1 3.055 * [backup-simplify]: Simplify (log 1) into 0 3.055 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.055 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.055 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.055 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 3.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.055 * [taylor]: Taking taylor expansion of 1/3 in x 3.055 * [backup-simplify]: Simplify 1/3 into 1/3 3.055 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.055 * [taylor]: Taking taylor expansion of y in x 3.055 * [backup-simplify]: Simplify y into y 3.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.056 * [taylor]: Taking taylor expansion of x in x 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (* 1 1) into 1 3.056 * [backup-simplify]: Simplify (/ 1 1) into 1 3.056 * [backup-simplify]: Simplify (+ 0 1) into 1 3.057 * [backup-simplify]: Simplify (log 1) into 0 3.057 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.057 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.057 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.057 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 3.057 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 3.057 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 3.057 * [taylor]: Taking taylor expansion of -2/3 in y 3.057 * [backup-simplify]: Simplify -2/3 into -2/3 3.057 * [taylor]: Taking taylor expansion of (log x) in y 3.057 * [taylor]: Taking taylor expansion of x in y 3.057 * [backup-simplify]: Simplify x into x 3.057 * [backup-simplify]: Simplify (log x) into (log x) 3.057 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 3.057 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.057 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.060 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 3.060 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.060 * [taylor]: Taking taylor expansion of 0 in y 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.061 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 3.062 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 3.064 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.065 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 3.066 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 3.066 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 3.066 * [taylor]: Taking taylor expansion of 1/3 in y 3.066 * [backup-simplify]: Simplify 1/3 into 1/3 3.066 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 3.066 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 3.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 3.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 3.066 * [taylor]: Taking taylor expansion of 1/3 in y 3.066 * [backup-simplify]: Simplify 1/3 into 1/3 3.066 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.066 * [taylor]: Taking taylor expansion of x in y 3.066 * [backup-simplify]: Simplify x into x 3.066 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.066 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.066 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 3.066 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 3.066 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.066 * [taylor]: Taking taylor expansion of y in y 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (* 1 1) into 1 3.067 * [backup-simplify]: Simplify (/ 1 1) into 1 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 3.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 3.070 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.072 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 3.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.074 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.074 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 3.075 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 3.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.077 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.081 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.085 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.087 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.087 * [taylor]: Taking taylor expansion of 0 in y 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 3.087 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.088 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2))) 3.088 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (y x) around 0 3.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 3.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.088 * [taylor]: Taking taylor expansion of y in x 3.088 * [backup-simplify]: Simplify y into y 3.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.088 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.088 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 3.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.088 * [taylor]: Taking taylor expansion of y in y 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.088 * [taylor]: Taking taylor expansion of x in y 3.088 * [backup-simplify]: Simplify x into x 3.088 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.089 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.089 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.089 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.089 * [backup-simplify]: Simplify (+ 0 0) into 0 3.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 3.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.089 * [taylor]: Taking taylor expansion of y in y 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.089 * [taylor]: Taking taylor expansion of x in y 3.089 * [backup-simplify]: Simplify x into x 3.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.089 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.089 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.089 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.090 * [taylor]: Taking taylor expansion of x in x 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [taylor]: Taking taylor expansion of 0 in x 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (* 1 1) into 1 3.091 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.091 * [backup-simplify]: Simplify (+ 1 0) into 1 3.091 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 3.091 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 3.091 * [taylor]: Taking taylor expansion of 1/2 in x 3.091 * [backup-simplify]: Simplify 1/2 into 1/2 3.091 * [taylor]: Taking taylor expansion of x in x 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.093 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 3.093 * [taylor]: Taking taylor expansion of 0 in x 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 3.094 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 y) 2) (pow (/ 1 x) 2))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 3.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 3.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.095 * [taylor]: Taking taylor expansion of y in x 3.095 * [backup-simplify]: Simplify y into y 3.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.095 * [taylor]: Taking taylor expansion of x in x 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.096 * [backup-simplify]: Simplify (+ 0 1) into 1 3.096 * [backup-simplify]: Simplify (sqrt 1) into 1 3.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.098 * [taylor]: Taking taylor expansion of y in y 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (* 1 1) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.099 * [taylor]: Taking taylor expansion of x in y 3.099 * [backup-simplify]: Simplify x into x 3.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.099 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.100 * [backup-simplify]: Simplify (sqrt 1) into 1 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.102 * [taylor]: Taking taylor expansion of y in y 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (* 1 1) into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.103 * [taylor]: Taking taylor expansion of x in y 3.103 * [backup-simplify]: Simplify x into x 3.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.104 * [backup-simplify]: Simplify (+ 1 0) into 1 3.104 * [backup-simplify]: Simplify (sqrt 1) into 1 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.106 * [taylor]: Taking taylor expansion of 1 in x 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of 0 in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 3.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 3.108 * [taylor]: Taking taylor expansion of 1/2 in x 3.108 * [backup-simplify]: Simplify 1/2 into 1/2 3.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.108 * [taylor]: Taking taylor expansion of x in x 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (* 1 1) into 1 3.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 3.112 * [taylor]: Taking taylor expansion of 0 in x 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 3.113 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- y)) 2) (pow (/ 1 (- x)) 2))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 3.113 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 3.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.113 * [taylor]: Taking taylor expansion of y in x 3.113 * [backup-simplify]: Simplify y into y 3.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.114 * [taylor]: Taking taylor expansion of x in x 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify (/ 1 1) into 1 3.114 * [backup-simplify]: Simplify (+ 0 1) into 1 3.115 * [backup-simplify]: Simplify (sqrt 1) into 1 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.116 * [taylor]: Taking taylor expansion of y in y 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.117 * [taylor]: Taking taylor expansion of x in y 3.117 * [backup-simplify]: Simplify x into x 3.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.117 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.117 * [backup-simplify]: Simplify (+ 1 0) into 1 3.118 * [backup-simplify]: Simplify (sqrt 1) into 1 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.119 * [taylor]: Taking taylor expansion of y in y 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (* 1 1) into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.120 * [taylor]: Taking taylor expansion of x in y 3.120 * [backup-simplify]: Simplify x into x 3.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.120 * [backup-simplify]: Simplify (+ 1 0) into 1 3.120 * [backup-simplify]: Simplify (sqrt 1) into 1 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.122 * [taylor]: Taking taylor expansion of 1 in x 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of 0 in x 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.124 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 3.124 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 3.124 * [taylor]: Taking taylor expansion of 1/2 in x 3.124 * [backup-simplify]: Simplify 1/2 into 1/2 3.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (* 1 1) into 1 3.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 3.128 * [taylor]: Taking taylor expansion of 0 in x 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 3.129 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.129 * [backup-simplify]: Simplify (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) into (* (pow (+ (pow y 2) (pow x 2)) 1/4) (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) 3.129 * [approximate]: Taking taylor expansion of (* (pow (+ (pow y 2) (pow x 2)) 1/4) (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) in (y x) around 0 3.129 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (pow x 2)) 1/4) (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) in x 3.129 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/4) in x 3.129 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow x 2))))) in x 3.129 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow x 2)))) in x 3.129 * [taylor]: Taking taylor expansion of 1/4 in x 3.129 * [backup-simplify]: Simplify 1/4 into 1/4 3.130 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 3.130 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.130 * [taylor]: Taking taylor expansion of y in x 3.130 * [backup-simplify]: Simplify y into y 3.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.130 * [taylor]: Taking taylor expansion of x in x 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.130 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.130 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 3.130 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2))) 3.130 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4) 3.130 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) in x 3.130 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) in x 3.130 * [backup-simplify]: Simplify (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) into (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 3.130 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) into (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 3.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) into 0 3.131 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (pow x 2)) 1/4) (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) in y 3.131 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/4) in y 3.131 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow x 2))))) in y 3.131 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow x 2)))) in y 3.131 * [taylor]: Taking taylor expansion of 1/4 in y 3.131 * [backup-simplify]: Simplify 1/4 into 1/4 3.131 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 3.131 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.131 * [taylor]: Taking taylor expansion of y in y 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.131 * [taylor]: Taking taylor expansion of x in y 3.131 * [backup-simplify]: Simplify x into x 3.131 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.131 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.131 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 3.131 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 3.131 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 3.131 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) in y 3.131 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) in y 3.132 * [backup-simplify]: Simplify (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) into (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 3.132 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) into (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 3.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) into 0 3.132 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (pow x 2)) 1/4) (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) in y 3.132 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/4) in y 3.132 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow x 2))))) in y 3.132 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow x 2)))) in y 3.132 * [taylor]: Taking taylor expansion of 1/4 in y 3.132 * [backup-simplify]: Simplify 1/4 into 1/4 3.132 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 3.132 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.132 * [taylor]: Taking taylor expansion of y in y 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.132 * [taylor]: Taking taylor expansion of x in y 3.132 * [backup-simplify]: Simplify x into x 3.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.132 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.132 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 3.132 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 3.133 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 3.133 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) in y 3.133 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) in y 3.133 * [backup-simplify]: Simplify (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) into (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 3.133 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) into (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 3.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) into 0 3.134 * [backup-simplify]: Simplify (* (pow (pow x 2) 1/4) (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) into (sqrt (* x (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) 3.134 * [taylor]: Taking taylor expansion of (sqrt (* x (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) in x 3.134 * [taylor]: Taking taylor expansion of (* x (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) in x 3.134 * [taylor]: Taking taylor expansion of x in x 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.134 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) in x 3.134 * [backup-simplify]: Simplify (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) into (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 3.134 * [backup-simplify]: Simplify (* 0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) into (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 3.135 * [backup-simplify]: Simplify (sqrt 0) into 0 3.135 * [backup-simplify]: Simplify (/ (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) (* 2 (sqrt 0))) into (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.136 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0 3.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow x 2)))) into 0 3.137 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/4) 0) (* 0 (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) into 0 3.137 * [taylor]: Taking taylor expansion of 0 in x 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) into (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 3.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) into 0 3.139 * [backup-simplify]: Simplify (* 1 1) into 1 3.139 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.139 * [backup-simplify]: Simplify (+ 1 0) into 1 3.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow x 2) 1)))) 2) into (/ 1 (pow x 2)) 3.141 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/4 (/ 1 (pow x 2))) 3.141 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow x 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow x 3)))) 3.142 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/4) 0) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow x 3)))) (sqrt (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))))) into (* 1/4 (sqrt (/ (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) (pow x 3)))) 3.142 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) (pow x 3)))) in x 3.142 * [taylor]: Taking taylor expansion of 1/4 in x 3.142 * [backup-simplify]: Simplify 1/4 into 1/4 3.143 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) (pow x 3))) in x 3.143 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) (pow x 3)) in x 3.143 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) in x 3.143 * [backup-simplify]: Simplify (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) into (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 3.143 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.143 * [taylor]: Taking taylor expansion of x in x 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (* 1 1) into 1 3.144 * [backup-simplify]: Simplify (* 1 1) into 1 3.144 * [backup-simplify]: Simplify (/ (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 1) into (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 3.144 * [backup-simplify]: Simplify (sqrt 0) into 0 3.145 * [backup-simplify]: Simplify (/ (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) (* 2 (sqrt 0))) into (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 2) (+)) (* 2 0)) into (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2)) 3.148 * [backup-simplify]: Simplify (+ (* 1/4 (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2))) (+ (* 0 (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) (* 0 0))) into (- (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2))) 3.149 * [backup-simplify]: Simplify (- (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2))) into (- (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2))) 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) into 0 3.150 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) 2) (+)) (* 2 0)) into (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2)) 3.150 * [backup-simplify]: Simplify (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2)) into (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2)) 3.152 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2)) (pow (* x 1) 2)) (+ (* (- (* +nan.0 (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2))) (pow (* 1 y) 2)) (* (* +nan.0 (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))) (* x 1)))) into (- (+ (* +nan.0 (* x (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) (- (+ (* +nan.0 (* (pow x 2) (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2))) (- (* +nan.0 (* (pow y 2) (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2)))))))) 3.152 * [backup-simplify]: Simplify (* (sqrt (fabs (cbrt (+ (pow (/ 1 y) 2) (pow (/ 1 x) 2))))) (sqrt (sqrt (+ (pow (/ 1 y) 2) (pow (/ 1 x) 2))))) into (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) 3.152 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in (y x) around 0 3.152 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in x 3.152 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) in x 3.152 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.152 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.152 * [taylor]: Taking taylor expansion of 1/4 in x 3.152 * [backup-simplify]: Simplify 1/4 into 1/4 3.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.152 * [taylor]: Taking taylor expansion of y in x 3.152 * [backup-simplify]: Simplify y into y 3.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.152 * [taylor]: Taking taylor expansion of x in x 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (/ 1 1) into 1 3.153 * [backup-simplify]: Simplify (+ 0 1) into 1 3.153 * [backup-simplify]: Simplify (log 1) into 0 3.154 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.154 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 3.154 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.154 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) in x 3.154 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in x 3.154 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.154 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) 3.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.155 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in y 3.155 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) in y 3.155 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.155 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.155 * [taylor]: Taking taylor expansion of 1/4 in y 3.155 * [backup-simplify]: Simplify 1/4 into 1/4 3.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.155 * [taylor]: Taking taylor expansion of y in y 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (* 1 1) into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.155 * [taylor]: Taking taylor expansion of x in y 3.155 * [backup-simplify]: Simplify x into x 3.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.156 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.156 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [backup-simplify]: Simplify (log 1) into 0 3.156 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.156 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 3.156 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 3.156 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) in y 3.157 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in y 3.157 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.157 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) 3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.157 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in y 3.157 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) in y 3.157 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.157 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.157 * [taylor]: Taking taylor expansion of 1/4 in y 3.157 * [backup-simplify]: Simplify 1/4 into 1/4 3.157 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.157 * [taylor]: Taking taylor expansion of y in y 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (* 1 1) into 1 3.158 * [backup-simplify]: Simplify (/ 1 1) into 1 3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.158 * [taylor]: Taking taylor expansion of x in y 3.158 * [backup-simplify]: Simplify x into x 3.158 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.158 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.158 * [backup-simplify]: Simplify (+ 1 0) into 1 3.159 * [backup-simplify]: Simplify (log 1) into 0 3.159 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.159 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 3.159 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 3.159 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) in y 3.159 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in y 3.159 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.160 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) 3.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.160 * [backup-simplify]: Simplify (* (pow y -1/2) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.160 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) in x 3.160 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) in x 3.160 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in x 3.160 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.160 * [taylor]: Taking taylor expansion of y in x 3.160 * [backup-simplify]: Simplify y into y 3.161 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) into (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) 3.161 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.161 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)))) into 0 3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.162 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.165 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log y))))) into 0 3.166 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.167 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.167 * [taylor]: Taking taylor expansion of 0 in x 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 3.171 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.172 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/4 (/ 1 (pow x 2))) 3.173 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow x 2))) 1) 1)))) into (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 y)))) 3.174 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (+ (* 0 0) (* (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 y)))) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))))) into (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) 3.174 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) in x 3.174 * [taylor]: Taking taylor expansion of 1/4 in x 3.174 * [backup-simplify]: Simplify 1/4 into 1/4 3.174 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))) in x 3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.174 * [taylor]: Taking taylor expansion of x in x 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (* 1 1) into 1 3.175 * [backup-simplify]: Simplify (/ 1 1) into 1 3.175 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) in x 3.175 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) in x 3.175 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in x 3.175 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.175 * [taylor]: Taking taylor expansion of y in x 3.175 * [backup-simplify]: Simplify y into y 3.176 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) into (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) 3.176 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.176 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)))) into 0 3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.177 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))))) into 0 3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.183 * [backup-simplify]: Simplify (* 1 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))))) into 0 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.195 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.195 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 3.197 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (+ (* 0 0) (+ (* (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 y)))) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))))) into 0 3.198 * [taylor]: Taking taylor expansion of 0 in x 3.198 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow (/ 1 y) 2)) (/ 1 (pow (/ 1 x) 2))) 1/3)) (/ 1 y))) into (sqrt (* y (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) 3.200 * [backup-simplify]: Simplify (* (sqrt (fabs (cbrt (+ (pow (/ 1 (- y)) 2) (pow (/ 1 (- x)) 2))))) (sqrt (sqrt (+ (pow (/ 1 (- y)) 2) (pow (/ 1 (- x)) 2))))) into (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) 3.200 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in (y x) around 0 3.200 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in x 3.200 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) in x 3.200 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.200 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.200 * [taylor]: Taking taylor expansion of 1/4 in x 3.200 * [backup-simplify]: Simplify 1/4 into 1/4 3.200 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.200 * [taylor]: Taking taylor expansion of y in x 3.200 * [backup-simplify]: Simplify y into y 3.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.200 * [taylor]: Taking taylor expansion of x in x 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [backup-simplify]: Simplify (+ 0 1) into 1 3.202 * [backup-simplify]: Simplify (log 1) into 0 3.202 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.202 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 3.202 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.202 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) in x 3.202 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in x 3.203 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.203 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) 3.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.203 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in y 3.203 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) in y 3.203 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.203 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.203 * [taylor]: Taking taylor expansion of 1/4 in y 3.203 * [backup-simplify]: Simplify 1/4 into 1/4 3.203 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.204 * [taylor]: Taking taylor expansion of y in y 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.204 * [backup-simplify]: Simplify (/ 1 1) into 1 3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.204 * [taylor]: Taking taylor expansion of x in y 3.204 * [backup-simplify]: Simplify x into x 3.204 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.205 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.205 * [backup-simplify]: Simplify (+ 1 0) into 1 3.205 * [backup-simplify]: Simplify (log 1) into 0 3.206 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.206 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 3.206 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 3.206 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) in y 3.206 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in y 3.206 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.207 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) 3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.207 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) in y 3.207 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/4) in y 3.207 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.207 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.207 * [taylor]: Taking taylor expansion of 1/4 in y 3.207 * [backup-simplify]: Simplify 1/4 into 1/4 3.207 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.207 * [taylor]: Taking taylor expansion of y in y 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify 1 into 1 3.207 * [backup-simplify]: Simplify (* 1 1) into 1 3.208 * [backup-simplify]: Simplify (/ 1 1) into 1 3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.208 * [taylor]: Taking taylor expansion of x in y 3.208 * [backup-simplify]: Simplify x into x 3.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.208 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.208 * [backup-simplify]: Simplify (+ 1 0) into 1 3.209 * [backup-simplify]: Simplify (log 1) into 0 3.209 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.209 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 3.209 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 3.209 * [taylor]: Taking taylor expansion of (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) in y 3.209 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in y 3.210 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.210 * [backup-simplify]: Simplify (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) into (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))) 3.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.211 * [backup-simplify]: Simplify (* (pow y -1/2) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.211 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) in x 3.211 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) in x 3.211 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in x 3.211 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.211 * [taylor]: Taking taylor expansion of y in x 3.211 * [backup-simplify]: Simplify y into y 3.212 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) into (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) 3.212 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.212 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)))) into 0 3.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.213 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.217 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.217 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log y))))) into 0 3.218 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.218 * [taylor]: Taking taylor expansion of 0 in x 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 3.223 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.223 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/4 (/ 1 (pow x 2))) 3.224 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow x 2))) 1) 1)))) into (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 y)))) 3.225 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (+ (* 0 0) (* (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 y)))) (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)))))) into (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) 3.225 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) in x 3.225 * [taylor]: Taking taylor expansion of 1/4 in x 3.225 * [backup-simplify]: Simplify 1/4 into 1/4 3.225 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))) in x 3.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.226 * [taylor]: Taking taylor expansion of x in x 3.226 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify 1 into 1 3.226 * [backup-simplify]: Simplify (* 1 1) into 1 3.226 * [backup-simplify]: Simplify (/ 1 1) into 1 3.226 * [taylor]: Taking taylor expansion of (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) in x 3.226 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) in x 3.226 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) in x 3.227 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) into (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) 3.227 * [taylor]: Taking taylor expansion of y in x 3.227 * [backup-simplify]: Simplify y into y 3.227 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) into (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) 3.227 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.228 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)))) into 0 3.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.229 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))))) into 0 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.234 * [backup-simplify]: Simplify (* 1 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))) into (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)) 3.235 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y))))) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3)) y)))) into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))) into 0 3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.245 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 3.247 * [backup-simplify]: Simplify (* (exp (* -1/2 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ (* (pow y -1/2) 0) (+ (* 0 0) (+ (* (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 y)))) 0) (* 0 (sqrt (fabs (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3))))))) into 0 3.248 * [taylor]: Taking taylor expansion of 0 in x 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (sqrt (/ (fabs (pow (+ (/ 1 (pow (/ 1 (- y)) 2)) (/ 1 (pow (/ 1 (- x)) 2))) 1/3)) (/ 1 (- y)))) into (sqrt (* -1 (* y (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) 3.249 * * * [progress]: simplifying candidates 3.251 * [simplify]: Simplifying: (log (cbrt (+ (pow y 2) (pow x 2)))) (exp (cbrt (+ (pow y 2) (pow x 2)))) (cbrt (* (cbrt (+ (pow y 2) (pow x 2))) (cbrt (+ (pow y 2) (pow x 2))))) (cbrt (cbrt (+ (pow y 2) (pow x 2)))) (cbrt (sqrt (+ (pow y 2) (pow x 2)))) (cbrt (sqrt (+ (pow y 2) (pow x 2)))) (cbrt 1) (cbrt (+ (pow y 2) (pow x 2))) (cbrt (pow 1 2)) (cbrt (+ (pow y 2) (pow x 2))) (cbrt 1) (cbrt (+ (pow y 2) (pow x 2))) (cbrt (+ (pow (pow y 2) 3) (pow (pow x 2) 3))) (cbrt (+ (* (pow y 2) (pow y 2)) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow x 2))))) (cbrt (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow x 2)))) (cbrt (- (pow y 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(sqrt (+ (pow y 2) (pow x 2)))) (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (fabs (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (+ (pow y 2) (pow x 2)))) (+ (log (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (log (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (log (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (exp (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (* (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (* (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (cbrt (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (cbrt (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))))) (cbrt (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (* (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (fabs (cbrt (+ (pow y 2) (pow x 2)))) (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (sqrt (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (sqrt (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (sqrt (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (sqrt (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (sqrt (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (sqrt (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (sqrt (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (sqrt (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (sqrt (sqrt (sqrt (+ (pow y 2) (pow x 2)))))) (* (sqrt (sqrt (fabs (cbrt (+ 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(pow y 2) (pow x 2)))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2)))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (+ (pow (pow y 2) 3) (pow (pow x 2) 3))))) (* (sqrt (fabs (cbrt (+ (pow y 2) (pow x 2))))) (sqrt (sqrt (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow x 2)))))) (+ (pow x 2/3) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2)))) (pow (/ 1 y) -2/3) (pow (/ -1 y) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) x y (* -1 y) (- (+ (* +nan.0 (* x (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) (- (+ (* +nan.0 (* (pow x 2) (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2))) (- (* +nan.0 (* (pow y 2) (pow (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)) 2)))))))) (sqrt (* y (fabs (pow (+ (pow y 2) (pow x 2)) 1/3)))) (sqrt (* -1 (* y (fabs (pow (+ (pow y 2) (pow x 2)) 1/3))))) 3.254 * * [simplify]: iteration 0: 171 enodes 3.291 * * [simplify]: iteration 1: 385 enodes 3.495 * * [simplify]: iteration 2: 1630 enodes 4.235 * * [simplify]: iteration complete: 5000 enodes 4.235 * * [simplify]: Extracting #0: cost 59 inf + 0 4.235 * * [simplify]: Extracting #1: cost 237 inf + 6 4.238 * * [simplify]: Extracting #2: cost 800 inf + 53 4.243 * * [simplify]: Extracting #3: cost 1669 inf + 1098 4.251 * * [simplify]: Extracting #4: cost 912 inf + 8545 4.259 * * [simplify]: Extracting #5: cost 205 inf + 15050 4.267 * * [simplify]: Extracting #6: cost 86 inf + 15954 4.279 * * [simplify]: Extracting #7: cost 11 inf + 16333 4.286 * * [simplify]: Extracting #8: cost 0 inf + 16416 4.292 * [simplify]: Simplified to: (log (cbrt (+ (* y y) (* x x)))) (exp (cbrt (+ (* y y) (* x x)))) (cbrt (pow (+ (* y y) (* x x)) 2/3)) (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) 1 (cbrt (+ (* y y) (* x x))) 1 (cbrt (+ (* y y) (* x x))) 1 (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow x 6) (pow y 6))) (cbrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))) (cbrt (- (pow y 4) (pow x 4))) (cbrt (- (* y y) (* x x))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x))))) (cbrt (cbrt (+ (* y y) (* x x)))) (+ (* y y) (* x x)) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (log (cbrt (+ (* y y) (* x x)))) (exp (cbrt (+ (* y y) (* x x)))) (cbrt (pow (+ (* y y) (* x x)) 2/3)) (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) 1 (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow x 6) (pow y 6))) (cbrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))) (cbrt (- (pow x 4) (pow y 4))) (cbrt (* (+ x y) (- x y))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x))))) (cbrt (cbrt (+ (* y y) (* x x)))) (+ (* y y) (* x x)) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (log (sqrt (+ (* y y) (* x x)))) (exp (sqrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* y y) (* x x)))) (pow (sqrt (+ (* y y) (* x x))) 3) (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) 1 (sqrt (+ (* y y) (* x x))) 1 (sqrt (+ (* y y) (* x x))) 1 (sqrt (+ (* y y) (* x x))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))) (sqrt (- (pow y 4) (pow x 4))) (sqrt (- (* y y) (* x x))) 1/2 (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (* (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x)))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (* (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x)))) (log (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (fabs (cbrt (+ (* y y) (* x x))))))) (log (* (sqrt (sqrt (+ 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(sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt (sqrt (+ (* y y) (* x x)))))) (* (fabs (cbrt (sqrt (+ (* y y) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (* (sqrt (fabs (cbrt (+ (* y y) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (* (sqrt (sqrt (sqrt (+ (* y y) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (sqrt (fabs (cbrt (+ (* y y) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (* x x))))) (* (sqrt (sqrt (sqrt (+ (* y y) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (sqrt (fabs (cbrt (+ (* y y) (* x x))))) (* (sqrt (sqrt (sqrt (+ (* y y) (* x x))))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (sqrt (fabs (cbrt (+ (* y y) (* x x))))) (* (cbrt (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (sqrt (sqrt (+ (* y y) (* x x))))) (* (sqrt (cbrt (fabs (cbrt (+ (* y y) (* x x)))))) (sqrt (sqrt (+ (* y y) (* x x))))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (fabs (cbrt (+ (* y y) (* x x))))))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (fabs (cbrt (+ (* y y) (* x x))))))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (* (sqrt (sqrt (+ (pow x 6) (pow y 6)))) (sqrt (fabs (cbrt (+ (* y y) (* x x)))))) (* (sqrt (fabs (cbrt (+ (* y y) (* x x))))) (sqrt (sqrt (- (pow y 4) (pow x 4))))) (+ (* (cbrt (/ 1 (pow x 4))) (* (* y y) 1/3)) (pow x 2/3)) (pow (/ 1 y) -2/3) (pow (/ -1 y) -2/3) (+ (* 1/3 (* (* (cbrt (/ 1 (pow y 4))) x) x)) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) x y (- y) (* +nan.0 (+ (* (fabs (cbrt (+ (* y y) (* x x)))) (- x)) (* (pow (fabs (cbrt (+ (* y y) (* x x)))) 2) (* (+ x y) (- x y))))) (sqrt (* y (fabs (cbrt (+ (* y y) (* x x)))))) (sqrt (* (- y) (fabs (cbrt (+ (* y y) (* x x)))))) 4.293 * * * [progress]: adding candidates to table 4.978 * * [progress]: iteration 4 / 4 4.978 * * * [progress]: picking best candidate 4.989 * * * * [pick]: Picked # 4.990 * * * [progress]: localizing error 4.993 * * * [progress]: generating rewritten candidates 4.993 * * * [progress]: generating series expansions 4.993 * * * [progress]: simplifying candidates 4.993 * [simplify]: Simplifying: 4.993 * * [simplify]: iteration 0: 0 enodes 4.993 * * [simplify]: iteration complete: 0 enodes 4.993 * * [simplify]: Extracting #0: cost 0 inf + 0 4.993 * [simplify]: Simplified to: 4.993 * * * [progress]: adding candidates to table 4.994 * [progress]: [Phase 3 of 3] Extracting. 4.994 * * [regime]: Finding splitpoints for: (# # # # #) 4.995 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 4.995 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 5.055 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 5.097 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 5.153 * * * * [regimes]: Trying to branch on (* x x) from (# #) 5.191 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 5.254 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 5.321 * * * * [regimes]: Trying to branch on y from (# # # # #) 5.381 * * * * [regimes]: Trying to branch on x from (# # # # #) 5.454 * * * [regime]: Found split indices: #