11.594 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying: (- (pow x 4.0) (pow y 4.0)) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: Extracting # 1 : cost 0 0.059 * * [simplify]: Extracting # 2 : cost 0 0.059 * * [simplify]: Extracting # 3 : cost 0 0.060 * * [simplify]: Extracting # 4 : cost 0 0.060 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.062 * * [simplify]: Extracting # 2 : cost 0 0.062 * * [simplify]: Extracting # 3 : cost 0 0.062 * * [simplify]: Extracting # 4 : cost 0 0.062 * * [simplify]: iteration 1 : 14 enodes (cost 7 ) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: Extracting # 1 : cost 0 0.065 * * [simplify]: Extracting # 2 : cost 0 0.065 * * [simplify]: Extracting # 3 : cost 0 0.065 * * [simplify]: Extracting # 4 : cost 0 0.065 * * [simplify]: iteration 2 : 29 enodes (cost 7 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: Extracting # 1 : cost 0 0.083 * * [simplify]: Extracting # 2 : cost 0 0.083 * * [simplify]: Extracting # 3 : cost 0 0.084 * * [simplify]: Extracting # 4 : cost 0 0.084 * * [simplify]: Extracting # 5 : cost 0 0.084 * * [simplify]: iteration 3 : 69 enodes (cost 7 ) 0.102 * * [simplify]: Extracting # 0 : cost 0 0.102 * * [simplify]: Extracting # 1 : cost 0 0.102 * * [simplify]: Extracting # 2 : cost 0 0.102 * * [simplify]: Extracting # 3 : cost 0 0.102 * * [simplify]: Extracting # 4 : cost 0 0.103 * * [simplify]: iteration 4 : 205 enodes (cost 7 ) 0.218 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: Extracting # 1 : cost 0 0.222 * * [simplify]: Extracting # 2 : cost 0 0.224 * * [simplify]: Extracting # 3 : cost 0 0.226 * * [simplify]: Extracting # 4 : cost 0 0.228 * * [simplify]: iteration 5 : 1087 enodes (cost 7 ) 0.928 * * [simplify]: Extracting # 0 : cost 0 0.947 * * [simplify]: Extracting # 1 : cost 0 0.959 * * [simplify]: Extracting # 2 : cost 0 0.971 * * [simplify]: Extracting # 3 : cost 0 0.983 * * [simplify]: Extracting # 4 : cost 0 0.998 * * [simplify]: iteration done: 5001 enodes (cost 7 ) 0.998 * [simplify]: Simplified to: (- (pow x 4.0) (pow y 4.0)) 0.998 * * [progress]: iteration 1 / 4 0.998 * * * [progress]: picking best candidate 1.002 * * * * [pick]: Picked # 1.002 * * * [progress]: localizing error 1.015 * * * [progress]: generating rewritten candidates 1.015 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.055 * * * [progress]: generating series expansions 1.055 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.055 * [backup-simplify]: Simplify (- (pow x 4.0) (pow y 4.0)) into (- (pow x 4) (pow y 4)) 1.055 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 1.055 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.055 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.055 * [taylor]: Taking taylor expansion of x in y 1.055 * [backup-simplify]: Simplify x into x 1.055 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.055 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.056 * [backup-simplify]: Simplify y into y 1.056 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [backup-simplify]: Simplify y into y 1.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.056 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.056 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.056 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.056 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 1.056 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.057 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.058 * [backup-simplify]: Simplify (- 0) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.059 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.060 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.062 * [backup-simplify]: Simplify (- 0) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1.064 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 1.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.064 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [backup-simplify]: Simplify x into x 1.064 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.064 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.064 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.064 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (* 1 1) into 1 1.065 * [backup-simplify]: Simplify (* 1 1) into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.066 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (* 1 1) into 1 1.066 * [backup-simplify]: Simplify (* 1 1) into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.067 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.067 * [backup-simplify]: Simplify y into y 1.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.067 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.067 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.067 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.069 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.069 * [taylor]: Taking taylor expansion of y in x 1.069 * [backup-simplify]: Simplify y into y 1.069 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.069 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.069 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.070 * [backup-simplify]: Simplify (+ 1 0) into 1 1.070 * [taylor]: Taking taylor expansion of 1 in y 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in y 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.083 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.083 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (* 1 1) into 1 1.084 * [backup-simplify]: Simplify (* 1 1) into 1 1.084 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [backup-simplify]: Simplify (- 1) into -1 1.084 * [backup-simplify]: Simplify -1 into -1 1.085 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.090 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.099 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.100 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (- 0) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 1.105 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1.105 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.106 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [backup-simplify]: Simplify x into x 1.106 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.106 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.106 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.106 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (* 1 1) into 1 1.107 * [backup-simplify]: Simplify (* 1 1) into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.107 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.109 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [backup-simplify]: Simplify y into y 1.109 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.109 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.109 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (* 1 1) into 1 1.110 * [backup-simplify]: Simplify (* 1 1) into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.110 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [backup-simplify]: Simplify y into y 1.110 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.111 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.111 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.111 * [backup-simplify]: Simplify (+ 1 0) into 1 1.111 * [taylor]: Taking taylor expansion of 1 in y 1.111 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [taylor]: Taking taylor expansion of 0 in y 1.120 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.124 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.124 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (* 1 1) into 1 1.125 * [backup-simplify]: Simplify (* 1 1) into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [backup-simplify]: Simplify (- 1) into -1 1.125 * [backup-simplify]: Simplify -1 into -1 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.129 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.130 * [backup-simplify]: Simplify (- 0) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.146 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.147 * [backup-simplify]: Simplify (- 0) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [taylor]: Taking taylor expansion of 0 in y 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (- 0) into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 1.152 * * * [progress]: simplifying candidates 1.153 * [simplify]: Simplifying: (/ (exp (pow x 4.0)) (exp (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 1.154 * * [simplify]: Extracting # 0 : cost 0 1.154 * * [simplify]: Extracting # 1 : cost 0 1.154 * * [simplify]: Extracting # 2 : cost 0 1.154 * * [simplify]: Extracting # 3 : cost 0 1.154 * * [simplify]: Extracting # 4 : cost 0 1.155 * * [simplify]: Extracting # 5 : cost 0 1.155 * * [simplify]: Extracting # 6 : cost 0 1.155 * * [simplify]: iteration 0 : 61 enodes (cost 356 ) 1.179 * * [simplify]: Extracting # 0 : cost 0 1.179 * * [simplify]: Extracting # 1 : cost 0 1.180 * * [simplify]: Extracting # 2 : cost 0 1.180 * * [simplify]: Extracting # 3 : cost 0 1.180 * * [simplify]: Extracting # 4 : cost 0 1.180 * * [simplify]: iteration 1 : 127 enodes (cost 345 ) 1.220 * * [simplify]: Extracting # 0 : cost 0 1.220 * * [simplify]: Extracting # 1 : cost 0 1.221 * * [simplify]: Extracting # 2 : cost 0 1.221 * * [simplify]: Extracting # 3 : cost 0 1.221 * * [simplify]: Extracting # 4 : cost 0 1.222 * * [simplify]: iteration 2 : 317 enodes (cost 331 ) 1.403 * * [simplify]: Extracting # 0 : cost 0 1.404 * * [simplify]: Extracting # 1 : cost 0 1.405 * * [simplify]: Extracting # 2 : cost 0 1.407 * * [simplify]: Extracting # 3 : cost 0 1.408 * * [simplify]: Extracting # 4 : cost 0 1.409 * * [simplify]: Extracting # 5 : cost 0 1.410 * * [simplify]: iteration 3 : 1272 enodes (cost 331 ) 2.078 * * [simplify]: Extracting # 0 : cost 0 2.086 * * [simplify]: Extracting # 1 : cost 0 2.092 * * [simplify]: Extracting # 2 : cost 0 2.098 * * [simplify]: Extracting # 3 : cost 0 2.104 * * [simplify]: Extracting # 4 : cost 0 2.110 * * [simplify]: iteration done: 5000 enodes (cost 331 ) 2.110 * [simplify]: Simplified to: (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (pow x (* 2 4.0)) (* (pow y 4.0) (+ (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 2.110 * * * [progress]: adding candidates to table 2.192 * * [progress]: iteration 2 / 4 2.192 * * * [progress]: picking best candidate 2.202 * * * * [pick]: Picked # 2.203 * * * [progress]: localizing error 2.231 * * * [progress]: generating rewritten candidates 2.231 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.367 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.416 * * * [progress]: generating series expansions 2.416 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.418 * [backup-simplify]: Simplify (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) into (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) 2.418 * [approximate]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in (x y) around 0 2.418 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in y 2.418 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in y 2.418 * [taylor]: Taking taylor expansion of (pow x 8) in y 2.418 * [taylor]: Taking taylor expansion of x in y 2.418 * [backup-simplify]: Simplify x into x 2.418 * [taylor]: Taking taylor expansion of (pow y 8) in y 2.418 * [taylor]: Taking taylor expansion of y in y 2.418 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in y 2.419 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.419 * [taylor]: Taking taylor expansion of x in y 2.419 * [backup-simplify]: Simplify x into x 2.419 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.419 * [taylor]: Taking taylor expansion of y in y 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.419 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.419 * [backup-simplify]: Simplify (* (pow x 4) (pow x 4)) into (pow x 8) 2.419 * [backup-simplify]: Simplify (+ (pow x 8) 0) into (pow x 8) 2.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.420 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.420 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 2.420 * [backup-simplify]: Simplify (/ (pow x 8) (pow x 4)) into (pow x 4) 2.420 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 2.420 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 2.420 * [taylor]: Taking taylor expansion of (pow x 8) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [taylor]: Taking taylor expansion of (pow y 8) in x 2.420 * [taylor]: Taking taylor expansion of y in x 2.420 * [backup-simplify]: Simplify y into y 2.420 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 2.420 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.421 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.421 * [backup-simplify]: Simplify (* (pow y 4) (pow y 4)) into (pow y 8) 2.421 * [backup-simplify]: Simplify (- (pow y 8)) into (- (pow y 8)) 2.421 * [backup-simplify]: Simplify (+ 0 (- (pow y 8))) into (- (pow y 8)) 2.422 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.422 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.422 * [backup-simplify]: Simplify (+ 0 (pow y 4)) into (pow y 4) 2.422 * [backup-simplify]: Simplify (/ (- (pow y 8)) (pow y 4)) into (* -1 (pow y 4)) 2.422 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 2.422 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 2.422 * [taylor]: Taking taylor expansion of (pow x 8) in x 2.422 * [taylor]: Taking taylor expansion of x in x 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [taylor]: Taking taylor expansion of (pow y 8) in x 2.422 * [taylor]: Taking taylor expansion of y in x 2.422 * [backup-simplify]: Simplify y into y 2.423 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 2.423 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.423 * [taylor]: Taking taylor expansion of y in x 2.423 * [backup-simplify]: Simplify y into y 2.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.423 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.423 * [backup-simplify]: Simplify (* (pow y 4) (pow y 4)) into (pow y 8) 2.424 * [backup-simplify]: Simplify (- (pow y 8)) into (- (pow y 8)) 2.424 * [backup-simplify]: Simplify (+ 0 (- (pow y 8))) into (- (pow y 8)) 2.424 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.424 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.424 * [backup-simplify]: Simplify (+ 0 (pow y 4)) into (pow y 4) 2.425 * [backup-simplify]: Simplify (/ (- (pow y 8)) (pow y 4)) into (* -1 (pow y 4)) 2.425 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 2.425 * [taylor]: Taking taylor expansion of -1 in y 2.425 * [backup-simplify]: Simplify -1 into -1 2.425 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.425 * [taylor]: Taking taylor expansion of y in y 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.425 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.425 * [backup-simplify]: Simplify (+ (* (pow y 4) 0) (* 0 (pow y 4))) into 0 2.426 * [backup-simplify]: Simplify (- 0) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.427 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.427 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (* -1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.427 * [taylor]: Taking taylor expansion of 0 in y 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.428 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.429 * [backup-simplify]: Simplify (+ (* (pow y 4) 0) (+ (* 0 0) (* 0 (pow y 4)))) into 0 2.429 * [backup-simplify]: Simplify (- 0) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.430 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (* -1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.430 * [taylor]: Taking taylor expansion of 0 in y 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.431 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.432 * [backup-simplify]: Simplify (+ (* (pow y 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 4))))) into 0 2.436 * [backup-simplify]: Simplify (- 0) into 0 2.437 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.438 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (* -1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.438 * [taylor]: Taking taylor expansion of 0 in y 2.438 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) (* 2 4.0)) (pow (/ 1 y) (* 2 4.0))) (+ (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0))) into (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 2.440 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 2.440 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 2.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 2.440 * [taylor]: Taking taylor expansion of (pow x 8) in y 2.440 * [taylor]: Taking taylor expansion of x in y 2.440 * [backup-simplify]: Simplify x into x 2.440 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.440 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.440 * [backup-simplify]: Simplify (* (pow x 4) (pow x 4)) into (pow x 8) 2.440 * [backup-simplify]: Simplify (/ 1 (pow x 8)) into (/ 1 (pow x 8)) 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 2.440 * [taylor]: Taking taylor expansion of (pow y 8) in y 2.440 * [taylor]: Taking taylor expansion of y in y 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (* 1 1) into 1 2.441 * [backup-simplify]: Simplify (* 1 1) into 1 2.441 * [backup-simplify]: Simplify (* 1 1) into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.442 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.442 * [taylor]: Taking taylor expansion of x in y 2.442 * [backup-simplify]: Simplify x into x 2.442 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.442 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.442 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.442 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.442 * [taylor]: Taking taylor expansion of y in y 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (* 1 1) into 1 2.442 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [backup-simplify]: Simplify (- 1) into -1 2.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.444 * [backup-simplify]: Simplify (+ 0 1) into 1 2.444 * [backup-simplify]: Simplify (/ -1 1) into -1 2.444 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 2.444 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 2.444 * [taylor]: Taking taylor expansion of (pow x 8) in x 2.444 * [taylor]: Taking taylor expansion of x in x 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (/ 1 1) into 1 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 2.445 * [taylor]: Taking taylor expansion of (pow y 8) in x 2.445 * [taylor]: Taking taylor expansion of y in x 2.445 * [backup-simplify]: Simplify y into y 2.446 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.446 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.446 * [backup-simplify]: Simplify (* (pow y 4) (pow y 4)) into (pow y 8) 2.446 * [backup-simplify]: Simplify (/ 1 (pow y 8)) into (/ 1 (pow y 8)) 2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.446 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.446 * [taylor]: Taking taylor expansion of x in x 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (* 1 1) into 1 2.447 * [backup-simplify]: Simplify (* 1 1) into 1 2.447 * [backup-simplify]: Simplify (/ 1 1) into 1 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.447 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.447 * [taylor]: Taking taylor expansion of y in x 2.447 * [backup-simplify]: Simplify y into y 2.447 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.447 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.447 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.447 * [backup-simplify]: Simplify (+ 1 0) into 1 2.448 * [backup-simplify]: Simplify (+ 1 0) into 1 2.448 * [backup-simplify]: Simplify (/ 1 1) into 1 2.448 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 2.448 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 2.448 * [taylor]: Taking taylor expansion of (pow x 8) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (* 1 1) into 1 2.449 * [backup-simplify]: Simplify (* 1 1) into 1 2.449 * [backup-simplify]: Simplify (* 1 1) into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 2.449 * [taylor]: Taking taylor expansion of (pow y 8) in x 2.449 * [taylor]: Taking taylor expansion of y in x 2.449 * [backup-simplify]: Simplify y into y 2.449 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.449 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.449 * [backup-simplify]: Simplify (* (pow y 4) (pow y 4)) into (pow y 8) 2.450 * [backup-simplify]: Simplify (/ 1 (pow y 8)) into (/ 1 (pow y 8)) 2.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.450 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.450 * [taylor]: Taking taylor expansion of x in x 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.450 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.450 * [taylor]: Taking taylor expansion of y in x 2.451 * [backup-simplify]: Simplify y into y 2.451 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.451 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.451 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.451 * [backup-simplify]: Simplify (+ 1 0) into 1 2.451 * [backup-simplify]: Simplify (+ 1 0) into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [taylor]: Taking taylor expansion of 1 in y 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.456 * [taylor]: Taking taylor expansion of 0 in y 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.461 * [taylor]: Taking taylor expansion of 0 in y 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (+ 0 0) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.466 * [taylor]: Taking taylor expansion of 0 in y 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 4))) into (/ 1 (pow y 4)) 2.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 4))) 2.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.479 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.479 * [taylor]: Taking taylor expansion of y in y 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (* 1 1) into 1 2.480 * [backup-simplify]: Simplify (* 1 1) into 1 2.480 * [backup-simplify]: Simplify (/ 1 1) into 1 2.481 * [backup-simplify]: Simplify (- 1) into -1 2.481 * [backup-simplify]: Simplify -1 into -1 2.481 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.491 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow y 4))) (/ 0 1)))) into 0 2.495 * [taylor]: Taking taylor expansion of 0 in y 2.495 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.505 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.506 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow y 4))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.508 * [taylor]: Taking taylor expansion of 0 in y 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (- 0) into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 2.511 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) (* 2 4.0)) (pow (/ 1 (- y)) (* 2 4.0))) (+ (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0))) into (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 2.511 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 2.511 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 2.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 2.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 2.511 * [taylor]: Taking taylor expansion of (pow x 8) in y 2.511 * [taylor]: Taking taylor expansion of x in y 2.512 * [backup-simplify]: Simplify x into x 2.512 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.512 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.512 * [backup-simplify]: Simplify (* (pow x 4) (pow x 4)) into (pow x 8) 2.512 * [backup-simplify]: Simplify (/ 1 (pow x 8)) into (/ 1 (pow x 8)) 2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 2.512 * [taylor]: Taking taylor expansion of (pow y 8) in y 2.512 * [taylor]: Taking taylor expansion of y in y 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (* 1 1) into 1 2.512 * [backup-simplify]: Simplify (* 1 1) into 1 2.513 * [backup-simplify]: Simplify (* 1 1) into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.513 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.513 * [taylor]: Taking taylor expansion of x in y 2.513 * [backup-simplify]: Simplify x into x 2.513 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.513 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.513 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.513 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.513 * [taylor]: Taking taylor expansion of y in y 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (* 1 1) into 1 2.514 * [backup-simplify]: Simplify (* 1 1) into 1 2.514 * [backup-simplify]: Simplify (/ 1 1) into 1 2.514 * [backup-simplify]: Simplify (- 1) into -1 2.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.515 * [backup-simplify]: Simplify (+ 0 1) into 1 2.515 * [backup-simplify]: Simplify (/ -1 1) into -1 2.515 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 2.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 2.515 * [taylor]: Taking taylor expansion of (pow x 8) in x 2.515 * [taylor]: Taking taylor expansion of x in x 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (* 1 1) into 1 2.516 * [backup-simplify]: Simplify (* 1 1) into 1 2.516 * [backup-simplify]: Simplify (* 1 1) into 1 2.516 * [backup-simplify]: Simplify (/ 1 1) into 1 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 2.516 * [taylor]: Taking taylor expansion of (pow y 8) in x 2.516 * [taylor]: Taking taylor expansion of y in x 2.516 * [backup-simplify]: Simplify y into y 2.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.517 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.517 * [backup-simplify]: Simplify (* (pow y 4) (pow y 4)) into (pow y 8) 2.517 * [backup-simplify]: Simplify (/ 1 (pow y 8)) into (/ 1 (pow y 8)) 2.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.517 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (* 1 1) into 1 2.517 * [backup-simplify]: Simplify (* 1 1) into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.518 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.518 * [taylor]: Taking taylor expansion of y in x 2.518 * [backup-simplify]: Simplify y into y 2.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.518 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.518 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.518 * [backup-simplify]: Simplify (+ 1 0) into 1 2.519 * [backup-simplify]: Simplify (+ 1 0) into 1 2.519 * [backup-simplify]: Simplify (/ 1 1) into 1 2.519 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 2.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 2.519 * [taylor]: Taking taylor expansion of (pow x 8) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (* 1 1) into 1 2.519 * [backup-simplify]: Simplify (* 1 1) into 1 2.520 * [backup-simplify]: Simplify (* 1 1) into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 2.520 * [taylor]: Taking taylor expansion of (pow y 8) in x 2.520 * [taylor]: Taking taylor expansion of y in x 2.520 * [backup-simplify]: Simplify y into y 2.520 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.520 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.520 * [backup-simplify]: Simplify (* (pow y 4) (pow y 4)) into (pow y 8) 2.520 * [backup-simplify]: Simplify (/ 1 (pow y 8)) into (/ 1 (pow y 8)) 2.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.520 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (* 1 1) into 1 2.521 * [backup-simplify]: Simplify (* 1 1) into 1 2.521 * [backup-simplify]: Simplify (/ 1 1) into 1 2.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.521 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.521 * [taylor]: Taking taylor expansion of y in x 2.521 * [backup-simplify]: Simplify y into y 2.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.521 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.522 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.522 * [backup-simplify]: Simplify (+ 1 0) into 1 2.522 * [backup-simplify]: Simplify (+ 1 0) into 1 2.522 * [backup-simplify]: Simplify (/ 1 1) into 1 2.522 * [taylor]: Taking taylor expansion of 1 in y 2.522 * [backup-simplify]: Simplify 1 into 1 2.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.526 * [taylor]: Taking taylor expansion of 0 in y 2.526 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.531 * [taylor]: Taking taylor expansion of 0 in y 2.531 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.534 * [backup-simplify]: Simplify (+ 0 0) into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.537 * [taylor]: Taking taylor expansion of 0 in y 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ 0 0) into 0 2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 4))) into (/ 1 (pow y 4)) 2.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 4))) 2.550 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.550 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.550 * [taylor]: Taking taylor expansion of y in y 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (* 1 1) into 1 2.551 * [backup-simplify]: Simplify (* 1 1) into 1 2.551 * [backup-simplify]: Simplify (/ 1 1) into 1 2.551 * [backup-simplify]: Simplify (- 1) into -1 2.551 * [backup-simplify]: Simplify -1 into -1 2.551 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.557 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.558 * [backup-simplify]: Simplify (+ 0 0) into 0 2.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow y 4))) (/ 0 1)))) into 0 2.559 * [taylor]: Taking taylor expansion of 0 in y 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (- 0) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.568 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.568 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (/ 1 (pow y 4)) 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow y 4))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.572 * [taylor]: Taking taylor expansion of 0 in y 2.572 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (- 0) into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 2.576 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.577 * [backup-simplify]: Simplify (+ (pow x 4.0) (pow y 4.0)) into (+ (pow x 4) (pow y 4)) 2.577 * [approximate]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in (x y) around 0 2.577 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in y 2.577 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.577 * [taylor]: Taking taylor expansion of x in y 2.577 * [backup-simplify]: Simplify x into x 2.577 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.577 * [taylor]: Taking taylor expansion of y in y 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 2.577 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.577 * [taylor]: Taking taylor expansion of y in x 2.577 * [backup-simplify]: Simplify y into y 2.577 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 2.577 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.578 * [taylor]: Taking taylor expansion of y in x 2.578 * [backup-simplify]: Simplify y into y 2.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.578 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.578 * [backup-simplify]: Simplify (+ 0 (pow y 4)) into (pow y 4) 2.578 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.578 * [taylor]: Taking taylor expansion of y in y 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.579 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.579 * [taylor]: Taking taylor expansion of 0 in y 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.581 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.581 * [backup-simplify]: Simplify (+ 0 0) into 0 2.581 * [taylor]: Taking taylor expansion of 0 in y 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.583 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.583 * [backup-simplify]: Simplify (+ 0 0) into 0 2.583 * [taylor]: Taking taylor expansion of 0 in y 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 4.0) (pow (/ 1 y) 4.0)) into (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.584 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.585 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.585 * [taylor]: Taking taylor expansion of x in y 2.585 * [backup-simplify]: Simplify x into x 2.585 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.585 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.585 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.585 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.585 * [taylor]: Taking taylor expansion of y in y 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (* 1 1) into 1 2.586 * [backup-simplify]: Simplify (* 1 1) into 1 2.586 * [backup-simplify]: Simplify (/ 1 1) into 1 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.587 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [backup-simplify]: Simplify (* 1 1) into 1 2.587 * [backup-simplify]: Simplify (* 1 1) into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.588 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [backup-simplify]: Simplify y into y 2.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.588 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.588 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.589 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (* 1 1) into 1 2.589 * [backup-simplify]: Simplify (* 1 1) into 1 2.590 * [backup-simplify]: Simplify (/ 1 1) into 1 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.590 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.590 * [taylor]: Taking taylor expansion of y in x 2.590 * [backup-simplify]: Simplify y into y 2.590 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.590 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.590 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.591 * [backup-simplify]: Simplify (+ 1 0) into 1 2.591 * [taylor]: Taking taylor expansion of 1 in y 2.591 * [backup-simplify]: Simplify 1 into 1 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify (+ 0 0) into 0 2.594 * [taylor]: Taking taylor expansion of 0 in y 2.594 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.597 * [backup-simplify]: Simplify (+ 0 0) into 0 2.597 * [taylor]: Taking taylor expansion of 0 in y 2.597 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [taylor]: Taking taylor expansion of 0 in y 2.601 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.605 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 4))) into (/ 1 (pow y 4)) 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.605 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.605 * [taylor]: Taking taylor expansion of y in y 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (* 1 1) into 1 2.605 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.606 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.611 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [taylor]: Taking taylor expansion of 0 in y 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.619 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.620 * [taylor]: Taking taylor expansion of 0 in y 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (+ (pow x 4) (pow y 4)) 2.622 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 4.0) (pow (/ 1 (- y)) 4.0)) into (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.622 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.623 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.623 * [taylor]: Taking taylor expansion of x in y 2.623 * [backup-simplify]: Simplify x into x 2.623 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.623 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.623 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.623 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.623 * [taylor]: Taking taylor expansion of y in y 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (* 1 1) into 1 2.623 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.624 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.625 * [backup-simplify]: Simplify (/ 1 1) into 1 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.625 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.625 * [taylor]: Taking taylor expansion of y in x 2.625 * [backup-simplify]: Simplify y into y 2.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.625 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.625 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.625 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.625 * [taylor]: Taking taylor expansion of x in x 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify 1 into 1 2.625 * [backup-simplify]: Simplify (* 1 1) into 1 2.626 * [backup-simplify]: Simplify (* 1 1) into 1 2.626 * [backup-simplify]: Simplify (/ 1 1) into 1 2.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.626 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.626 * [taylor]: Taking taylor expansion of y in x 2.626 * [backup-simplify]: Simplify y into y 2.626 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.626 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.626 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.626 * [backup-simplify]: Simplify (+ 1 0) into 1 2.626 * [taylor]: Taking taylor expansion of 1 in y 2.626 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [taylor]: Taking taylor expansion of 0 in y 2.628 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify (+ 0 0) into 0 2.630 * [taylor]: Taking taylor expansion of 0 in y 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (+ 0 0) into 0 2.632 * [taylor]: Taking taylor expansion of 0 in y 2.632 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 4))) into (/ 1 (pow y 4)) 2.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.634 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.634 * [taylor]: Taking taylor expansion of y in y 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (* 1 1) into 1 2.635 * [backup-simplify]: Simplify (* 1 1) into 1 2.635 * [backup-simplify]: Simplify (/ 1 1) into 1 2.635 * [backup-simplify]: Simplify 1 into 1 2.635 * [backup-simplify]: Simplify 1 into 1 2.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.638 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.638 * [backup-simplify]: Simplify (+ 0 0) into 0 2.638 * [taylor]: Taking taylor expansion of 0 in y 2.638 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.643 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.643 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [taylor]: Taking taylor expansion of 0 in y 2.643 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (+ (pow x 4) (pow y 4)) 2.646 * * * [progress]: simplifying candidates 2.650 * [simplify]: Simplifying: (- (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (+ (pow x 4.0) (pow y 4.0)))) (log (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0)))) (exp (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0)))) (/ (* (* (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (* (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)))) (* (cbrt (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 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4.0))) (sqrt (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (- (sqrt (pow x (* 2 4.0))) (pow y (/ (* 2 4.0) 2)))) (/ (+ (pow x 4.0) (pow y 4.0)) (- (pow x (/ (* 2 4.0) 2)) (pow (sqrt y) (* 2 4.0)))) (/ (+ (pow x 4.0) (pow y 4.0)) (- (pow x (/ (* 2 4.0) 2)) (sqrt (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (- (pow x (/ (* 2 4.0) 2)) (pow y (/ (* 2 4.0) 2)))) (/ (+ (pow x 4.0) (pow y 4.0)) (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (/ (+ (pow x 4.0) (pow y 4.0)) (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (* (+ (pow x 4.0) (pow y 4.0)) (+ (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (+ (* (pow y (* 2 4.0)) (pow y (* 2 4.0))) (* (pow x (* 2 4.0)) (pow y (* 2 4.0)))))) (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (* (exp (pow x 4.0)) (exp (pow y 4.0))) (log (+ (pow x 4.0) (pow y 4.0))) (exp (+ (pow x 4.0) (pow y 4.0))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0))) (* (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (sqrt (+ (pow x 4.0) (pow y 4.0))) (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (- (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (+ (pow x 4) (pow y 4)) (+ (pow x 4) (pow y 4)) 2.658 * * [simplify]: Extracting # 0 : cost 0 2.659 * * [simplify]: Extracting # 1 : cost 0 2.659 * * [simplify]: Extracting # 2 : cost 0 2.660 * * [simplify]: Extracting # 3 : cost 0 2.660 * * [simplify]: Extracting # 4 : cost 0 2.661 * * [simplify]: Extracting # 5 : cost 0 2.661 * * [simplify]: Extracting # 6 : cost 0 2.662 * * [simplify]: Extracting # 7 : cost 0 2.663 * * [simplify]: Extracting # 8 : cost 0 2.663 * * [simplify]: iteration 0 : 200 enodes (cost 3850 ) 2.748 * * [simplify]: Extracting # 0 : cost 0 2.748 * * [simplify]: Extracting # 1 : cost 0 2.749 * * [simplify]: Extracting # 2 : cost 0 2.749 * * [simplify]: Extracting # 3 : cost 0 2.750 * * [simplify]: Extracting # 4 : cost 0 2.750 * * [simplify]: iteration 1 : 443 enodes (cost 3684 ) 2.941 * * [simplify]: Extracting # 0 : cost 0 2.944 * * [simplify]: Extracting # 1 : cost 0 2.949 * * [simplify]: Extracting # 2 : cost 0 2.953 * * [simplify]: Extracting # 3 : cost 0 2.957 * * [simplify]: Extracting # 4 : cost 0 2.961 * * [simplify]: iteration 2 : 1580 enodes (cost 3330 ) 3.834 * * [simplify]: Extracting # 0 : cost 0 3.848 * * [simplify]: Extracting # 1 : cost 0 3.861 * * [simplify]: Extracting # 2 : cost 0 3.875 * * [simplify]: Extracting # 3 : cost 0 3.897 * * [simplify]: Extracting # 4 : cost 0 3.908 * * [simplify]: iteration done: 5002 enodes (cost 2982 ) 3.911 * [simplify]: Simplified to: (log (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1))) (log (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1))) (exp (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1))) (pow (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1)) 3) (* (cbrt (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1))) (cbrt (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1)))) (cbrt (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1))) (pow (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1)) 3) (sqrt (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1))) (sqrt (* 1 (/ (- (pow x 4.0) (pow y 4.0)) 1))) (- (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (- (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (cbrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0))))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (cbrt (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) 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(fabs (pow x 4.0)) (fabs (pow y 4.0)))) (/ (+ (pow y 4.0) (pow x 4.0)) (- (fabs (pow x 4.0)) (pow y 4.0))) (/ (+ (pow y 4.0) (pow x 4.0)) (- (pow x 4.0) (pow (sqrt y) (* 2 4.0)))) (/ (+ (pow y 4.0) (pow x 4.0)) (- (pow x 4.0) (fabs (pow y 4.0)))) (/ (+ (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) 1 (* (+ (pow x 4.0) (pow y 4.0)) (+ (* (pow y (* 2 4.0)) (+ (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (pow x (* 4 4.0)))) (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (+ (pow x 4.0) (pow y 4.0))) (log (+ (pow x 4.0) (pow y 4.0))) (exp (+ (pow x 4.0) (pow y 4.0))) (* (cbrt (+ (pow y 4.0) (pow x 4.0))) (cbrt (+ (pow y 4.0) (pow x 4.0)))) (cbrt (+ (pow y 4.0) (pow x 4.0))) (pow (+ (pow x 4.0) (pow y 4.0)) 3) (sqrt (+ (pow y 4.0) (pow x 4.0))) (sqrt (+ (pow y 4.0) (pow x 4.0))) (+ (pow (pow y 4.0) 3) (pow (pow x 4.0) 3)) (+ (* (pow y 4.0) (- (pow y 4.0) (pow x 4.0))) (pow x (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x 4.0) (pow y 4.0)) (+ (pow y 4.0) (pow x 4.0)) (+ (pow y 4.0) (pow x 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (+ (pow x 4) (pow y 4)) (+ (pow x 4) (pow y 4)) 3.913 * * * [progress]: adding candidates to table 4.316 * [progress]: [Phase 3 of 3] Extracting. 4.316 * * [regime]: Finding splitpoints for: (# #) 4.317 * * * [regime-changes]: Trying 5 branch expressions: ((pow y 4.0) (pow x 4.0) (- (pow x 4.0) (pow y 4.0)) y x) 4.317 * * * * [regimes]: Trying to branch on (pow y 4.0) from (# #) 4.357 * * * * [regimes]: Trying to branch on (pow x 4.0) from (# #) 4.386 * * * * [regimes]: Trying to branch on (- (pow x 4.0) (pow y 4.0)) from (# #) 4.416 * * * * [regimes]: Trying to branch on y from (# #) 4.434 * * * * [regimes]: Trying to branch on x from (# #) 4.460 * * * [regime]: Found split indices: #