7.035 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.024 * * [simplify]: iteration 0: 5 enodes 0.026 * * [simplify]: iteration 1: 6 enodes 0.028 * * [simplify]: iteration complete: 6 enodes 0.028 * * [simplify]: Extracting #0: cost 1 inf + 0 0.028 * * [simplify]: Extracting #1: cost 3 inf + 0 0.028 * * [simplify]: Extracting #2: cost 5 inf + 0 0.028 * * [simplify]: Extracting #3: cost 2 inf + 43 0.028 * * [simplify]: Extracting #4: cost 0 inf + 206 0.028 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.065 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.065 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.066 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.076 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.076 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.078 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [backup-simplify]: Simplify (+ 0 1) into 1 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.085 * [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 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.091 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.091 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [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 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.105 * * * [progress]: simplifying candidates 0.106 * [simplify]: Simplifying: (* (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)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.106 * * [simplify]: iteration 0: 30 enodes 0.118 * * [simplify]: iteration 1: 115 enodes 0.201 * * [simplify]: iteration 2: 639 enodes 1.556 * * [simplify]: iteration 3: 4731 enodes 3.905 * * [simplify]: iteration complete: 5000 enodes 3.905 * * [simplify]: Extracting #0: cost 11 inf + 0 3.905 * * [simplify]: Extracting #1: cost 171 inf + 0 3.909 * * [simplify]: Extracting #2: cost 1399 inf + 1 3.932 * * [simplify]: Extracting #3: cost 1519 inf + 29520 3.952 * * [simplify]: Extracting #4: cost 669 inf + 109674 3.993 * * [simplify]: Extracting #5: cost 116 inf + 188631 4.043 * * [simplify]: Extracting #6: cost 7 inf + 205104 4.096 * * [simplify]: Extracting #7: cost 0 inf + 205598 4.136 * [simplify]: Simplified to: (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))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (- x y) (+ x y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 4.137 * * * [progress]: adding candidates to table 4.181 * * [progress]: iteration 2 / 4 4.181 * * * [progress]: picking best candidate 4.189 * * * * [pick]: Picked # 4.189 * * * [progress]: localizing error 4.213 * * * [progress]: generating rewritten candidates 4.213 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.218 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.223 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.287 * * * [progress]: generating series expansions 4.287 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.287 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 4.287 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 4.287 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 4.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 4.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 4.287 * [taylor]: Taking taylor expansion of 1/3 in y 4.287 * [backup-simplify]: Simplify 1/3 into 1/3 4.287 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 4.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.288 * [taylor]: Taking taylor expansion of y in y 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.288 * [taylor]: Taking taylor expansion of x in y 4.288 * [backup-simplify]: Simplify x into x 4.288 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.288 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.288 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 4.288 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 4.288 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 4.288 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 4.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 4.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 4.288 * [taylor]: Taking taylor expansion of 1/3 in x 4.288 * [backup-simplify]: Simplify 1/3 into 1/3 4.288 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 4.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.288 * [taylor]: Taking taylor expansion of y in x 4.288 * [backup-simplify]: Simplify y into y 4.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.288 * [taylor]: Taking taylor expansion of x in x 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.288 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.289 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.289 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 4.289 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 4.289 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 4.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 4.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 4.289 * [taylor]: Taking taylor expansion of 1/3 in x 4.289 * [backup-simplify]: Simplify 1/3 into 1/3 4.289 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 4.289 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.289 * [taylor]: Taking taylor expansion of y in x 4.289 * [backup-simplify]: Simplify y into y 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.289 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.289 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.290 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 4.290 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 4.290 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 4.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 4.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 4.290 * [taylor]: Taking taylor expansion of 1/3 in y 4.290 * [backup-simplify]: Simplify 1/3 into 1/3 4.290 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 4.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.290 * [taylor]: Taking taylor expansion of y in y 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.291 * [backup-simplify]: Simplify (log 1) into 0 4.291 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.291 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 4.291 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 4.291 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 4.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.292 * [backup-simplify]: Simplify (+ 0 0) into 0 4.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 4.293 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 4.294 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.294 * [taylor]: Taking taylor expansion of 0 in y 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.296 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 4.297 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.298 * [backup-simplify]: Simplify (* 1 1) into 1 4.298 * [backup-simplify]: Simplify (+ 0 1) into 1 4.299 * [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)) 4.300 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 4.301 * [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)) 4.301 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 4.301 * [taylor]: Taking taylor expansion of 1/3 in y 4.301 * [backup-simplify]: Simplify 1/3 into 1/3 4.301 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 4.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 4.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 4.301 * [taylor]: Taking taylor expansion of 1/3 in y 4.301 * [backup-simplify]: Simplify 1/3 into 1/3 4.301 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 4.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.301 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.301 * [taylor]: Taking taylor expansion of y in y 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.302 * [backup-simplify]: Simplify (* 1 1) into 1 4.302 * [backup-simplify]: Simplify (* 1 1) into 1 4.302 * [backup-simplify]: Simplify (/ 1 1) into 1 4.303 * [backup-simplify]: Simplify (log 1) into 0 4.303 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.304 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 4.304 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 4.304 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 4.304 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.309 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 4.312 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.312 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.314 * [backup-simplify]: Simplify (+ 0 0) into 0 4.318 * [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 4.320 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 4.322 * [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 4.322 * [taylor]: Taking taylor expansion of 0 in y 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.327 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 4.329 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.337 * [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 4.338 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 4.342 * [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 4.342 * [backup-simplify]: Simplify 0 into 0 4.343 * [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)))) 4.343 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 4.343 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 4.343 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 4.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.343 * [taylor]: Taking taylor expansion of 1/3 in y 4.343 * [backup-simplify]: Simplify 1/3 into 1/3 4.343 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.343 * [taylor]: Taking taylor expansion of y in y 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (* 1 1) into 1 4.344 * [backup-simplify]: Simplify (/ 1 1) into 1 4.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.344 * [taylor]: Taking taylor expansion of x in y 4.345 * [backup-simplify]: Simplify x into x 4.345 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.345 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.345 * [backup-simplify]: Simplify (+ 1 0) into 1 4.345 * [backup-simplify]: Simplify (log 1) into 0 4.346 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.346 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.346 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.346 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.346 * [taylor]: Taking taylor expansion of 1/3 in x 4.346 * [backup-simplify]: Simplify 1/3 into 1/3 4.346 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.346 * [taylor]: Taking taylor expansion of y in x 4.346 * [backup-simplify]: Simplify y into y 4.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.346 * [taylor]: Taking taylor expansion of x in x 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (* 1 1) into 1 4.347 * [backup-simplify]: Simplify (/ 1 1) into 1 4.350 * [backup-simplify]: Simplify (+ 0 1) into 1 4.350 * [backup-simplify]: Simplify (log 1) into 0 4.351 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.351 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.351 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.351 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.351 * [taylor]: Taking taylor expansion of 1/3 in x 4.351 * [backup-simplify]: Simplify 1/3 into 1/3 4.351 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [backup-simplify]: Simplify y into y 4.351 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.351 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (* 1 1) into 1 4.352 * [backup-simplify]: Simplify (/ 1 1) into 1 4.352 * [backup-simplify]: Simplify (+ 0 1) into 1 4.352 * [backup-simplify]: Simplify (log 1) into 0 4.353 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.353 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.353 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.353 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.353 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.353 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.353 * [taylor]: Taking taylor expansion of -2/3 in y 4.353 * [backup-simplify]: Simplify -2/3 into -2/3 4.353 * [taylor]: Taking taylor expansion of (log x) in y 4.353 * [taylor]: Taking taylor expansion of x in y 4.353 * [backup-simplify]: Simplify x into x 4.353 * [backup-simplify]: Simplify (log x) into (log x) 4.353 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.353 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.353 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ 0 0) into 0 4.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.356 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.357 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.357 * [taylor]: Taking taylor expansion of 0 in y 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.358 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.358 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.361 * [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)) 4.362 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.362 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 4.363 * [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)))) 4.363 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 4.363 * [taylor]: Taking taylor expansion of 1/3 in y 4.363 * [backup-simplify]: Simplify 1/3 into 1/3 4.363 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 4.363 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.363 * [taylor]: Taking taylor expansion of 1/3 in y 4.363 * [backup-simplify]: Simplify 1/3 into 1/3 4.363 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.363 * [taylor]: Taking taylor expansion of x in y 4.363 * [backup-simplify]: Simplify x into x 4.363 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.363 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.363 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.364 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.364 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.364 * [taylor]: Taking taylor expansion of y in y 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [backup-simplify]: Simplify (* 1 1) into 1 4.364 * [backup-simplify]: Simplify (/ 1 1) into 1 4.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.368 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.369 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.371 * [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 4.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 4.372 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.373 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.374 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.374 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.376 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.377 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.377 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (+ 0 0) into 0 4.382 * [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 4.382 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.385 * [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 4.385 * [taylor]: Taking taylor expansion of 0 in y 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 4.385 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 4.385 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 4.385 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 4.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.385 * [taylor]: Taking taylor expansion of 1/3 in y 4.385 * [backup-simplify]: Simplify 1/3 into 1/3 4.385 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.386 * [taylor]: Taking taylor expansion of y in y 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 1 into 1 4.386 * [backup-simplify]: Simplify (* 1 1) into 1 4.387 * [backup-simplify]: Simplify (/ 1 1) into 1 4.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.387 * [taylor]: Taking taylor expansion of x in y 4.387 * [backup-simplify]: Simplify x into x 4.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.388 * [backup-simplify]: Simplify (+ 1 0) into 1 4.388 * [backup-simplify]: Simplify (log 1) into 0 4.389 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.389 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.389 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.389 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.389 * [taylor]: Taking taylor expansion of 1/3 in x 4.389 * [backup-simplify]: Simplify 1/3 into 1/3 4.390 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.390 * [taylor]: Taking taylor expansion of y in x 4.390 * [backup-simplify]: Simplify y into y 4.390 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.390 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.390 * [taylor]: Taking taylor expansion of x in x 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.391 * [backup-simplify]: Simplify (* 1 1) into 1 4.391 * [backup-simplify]: Simplify (/ 1 1) into 1 4.392 * [backup-simplify]: Simplify (+ 0 1) into 1 4.392 * [backup-simplify]: Simplify (log 1) into 0 4.393 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.393 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.393 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.393 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.393 * [taylor]: Taking taylor expansion of 1/3 in x 4.393 * [backup-simplify]: Simplify 1/3 into 1/3 4.393 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.394 * [taylor]: Taking taylor expansion of y in x 4.394 * [backup-simplify]: Simplify y into y 4.394 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.394 * [taylor]: Taking taylor expansion of x in x 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.395 * [backup-simplify]: Simplify (* 1 1) into 1 4.395 * [backup-simplify]: Simplify (/ 1 1) into 1 4.396 * [backup-simplify]: Simplify (+ 0 1) into 1 4.396 * [backup-simplify]: Simplify (log 1) into 0 4.397 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.397 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.397 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.397 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.397 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.397 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.397 * [taylor]: Taking taylor expansion of -2/3 in y 4.397 * [backup-simplify]: Simplify -2/3 into -2/3 4.397 * [taylor]: Taking taylor expansion of (log x) in y 4.397 * [taylor]: Taking taylor expansion of x in y 4.397 * [backup-simplify]: Simplify x into x 4.398 * [backup-simplify]: Simplify (log x) into (log x) 4.398 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.398 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.398 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (+ 0 0) into 0 4.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.403 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.405 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.405 * [taylor]: Taking taylor expansion of 0 in y 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.407 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.408 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.414 * [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)) 4.415 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.416 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 4.418 * [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)))) 4.418 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 4.418 * [taylor]: Taking taylor expansion of 1/3 in y 4.418 * [backup-simplify]: Simplify 1/3 into 1/3 4.418 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 4.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.418 * [taylor]: Taking taylor expansion of 1/3 in y 4.418 * [backup-simplify]: Simplify 1/3 into 1/3 4.418 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.418 * [taylor]: Taking taylor expansion of x in y 4.418 * [backup-simplify]: Simplify x into x 4.418 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.419 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.419 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.419 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.419 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.419 * [taylor]: Taking taylor expansion of y in y 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (* 1 1) into 1 4.421 * [backup-simplify]: Simplify (/ 1 1) into 1 4.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.428 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.429 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.432 * [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 4.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 4.434 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.435 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.435 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.438 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.439 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (+ 0 0) into 0 4.444 * [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 4.444 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.446 * [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 4.446 * [taylor]: Taking taylor expansion of 0 in y 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 4.447 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.447 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 4.447 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 4.447 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 4.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 4.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 4.447 * [taylor]: Taking taylor expansion of 1/3 in y 4.447 * [backup-simplify]: Simplify 1/3 into 1/3 4.447 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 4.447 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.447 * [taylor]: Taking taylor expansion of y in y 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.447 * [taylor]: Taking taylor expansion of x in y 4.447 * [backup-simplify]: Simplify x into x 4.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.447 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.447 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 4.448 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 4.448 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 4.448 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 4.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 4.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 4.448 * [taylor]: Taking taylor expansion of 1/3 in x 4.448 * [backup-simplify]: Simplify 1/3 into 1/3 4.448 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 4.448 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.448 * [taylor]: Taking taylor expansion of y in x 4.448 * [backup-simplify]: Simplify y into y 4.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.448 * [taylor]: Taking taylor expansion of x in x 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.448 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.448 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.448 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 4.448 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 4.448 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 4.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 4.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 4.448 * [taylor]: Taking taylor expansion of 1/3 in x 4.448 * [backup-simplify]: Simplify 1/3 into 1/3 4.448 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 4.448 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.448 * [taylor]: Taking taylor expansion of y in x 4.448 * [backup-simplify]: Simplify y into y 4.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.448 * [taylor]: Taking taylor expansion of x in x 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.449 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.449 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.449 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 4.449 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 4.449 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 4.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 4.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 4.449 * [taylor]: Taking taylor expansion of 1/3 in y 4.449 * [backup-simplify]: Simplify 1/3 into 1/3 4.449 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 4.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.449 * [taylor]: Taking taylor expansion of y in y 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (* 1 1) into 1 4.450 * [backup-simplify]: Simplify (log 1) into 0 4.450 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.450 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 4.450 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 4.450 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 4.451 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.451 * [backup-simplify]: Simplify (+ 0 0) into 0 4.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 4.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 4.453 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.453 * [taylor]: Taking taylor expansion of 0 in y 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.454 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 4.455 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.455 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.456 * [backup-simplify]: Simplify (* 1 1) into 1 4.456 * [backup-simplify]: Simplify (+ 0 1) into 1 4.458 * [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)) 4.458 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 4.459 * [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)) 4.459 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 4.459 * [taylor]: Taking taylor expansion of 1/3 in y 4.459 * [backup-simplify]: Simplify 1/3 into 1/3 4.459 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 4.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 4.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 4.459 * [taylor]: Taking taylor expansion of 1/3 in y 4.459 * [backup-simplify]: Simplify 1/3 into 1/3 4.459 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 4.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.459 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.459 * [taylor]: Taking taylor expansion of y in y 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (* 1 1) into 1 4.460 * [backup-simplify]: Simplify (* 1 1) into 1 4.460 * [backup-simplify]: Simplify (/ 1 1) into 1 4.461 * [backup-simplify]: Simplify (log 1) into 0 4.461 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.461 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 4.461 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 4.461 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 4.462 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.465 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 4.466 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.466 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [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 4.471 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 4.472 * [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 4.472 * [taylor]: Taking taylor expansion of 0 in y 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.475 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 4.476 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.480 * [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 4.480 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.483 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 4.484 * [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 4.484 * [backup-simplify]: Simplify 0 into 0 4.485 * [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)))) 4.485 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 4.485 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 4.485 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 4.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.485 * [taylor]: Taking taylor expansion of 1/3 in y 4.485 * [backup-simplify]: Simplify 1/3 into 1/3 4.485 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.485 * [taylor]: Taking taylor expansion of y in y 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (* 1 1) into 1 4.486 * [backup-simplify]: Simplify (/ 1 1) into 1 4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.486 * [taylor]: Taking taylor expansion of x in y 4.486 * [backup-simplify]: Simplify x into x 4.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.486 * [backup-simplify]: Simplify (+ 1 0) into 1 4.487 * [backup-simplify]: Simplify (log 1) into 0 4.487 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.487 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.487 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.487 * [taylor]: Taking taylor expansion of 1/3 in x 4.487 * [backup-simplify]: Simplify 1/3 into 1/3 4.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.487 * [taylor]: Taking taylor expansion of y in x 4.487 * [backup-simplify]: Simplify y into y 4.487 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.488 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.488 * [taylor]: Taking taylor expansion of x in x 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify 1 into 1 4.488 * [backup-simplify]: Simplify (* 1 1) into 1 4.488 * [backup-simplify]: Simplify (/ 1 1) into 1 4.489 * [backup-simplify]: Simplify (+ 0 1) into 1 4.489 * [backup-simplify]: Simplify (log 1) into 0 4.489 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.489 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.489 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.489 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.489 * [taylor]: Taking taylor expansion of 1/3 in x 4.489 * [backup-simplify]: Simplify 1/3 into 1/3 4.490 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.490 * [taylor]: Taking taylor expansion of y in x 4.490 * [backup-simplify]: Simplify y into y 4.490 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.490 * [taylor]: Taking taylor expansion of x in x 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (* 1 1) into 1 4.490 * [backup-simplify]: Simplify (/ 1 1) into 1 4.491 * [backup-simplify]: Simplify (+ 0 1) into 1 4.491 * [backup-simplify]: Simplify (log 1) into 0 4.491 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.491 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.491 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.492 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.492 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.492 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.492 * [taylor]: Taking taylor expansion of -2/3 in y 4.492 * [backup-simplify]: Simplify -2/3 into -2/3 4.492 * [taylor]: Taking taylor expansion of (log x) in y 4.492 * [taylor]: Taking taylor expansion of x in y 4.492 * [backup-simplify]: Simplify x into x 4.492 * [backup-simplify]: Simplify (log x) into (log x) 4.492 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.492 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.492 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.493 * [backup-simplify]: Simplify (+ 0 0) into 0 4.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.494 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.495 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.495 * [taylor]: Taking taylor expansion of 0 in y 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.497 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.498 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.500 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.502 * [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)) 4.503 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.504 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 4.505 * [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)))) 4.505 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 4.505 * [taylor]: Taking taylor expansion of 1/3 in y 4.505 * [backup-simplify]: Simplify 1/3 into 1/3 4.505 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 4.505 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.505 * [taylor]: Taking taylor expansion of 1/3 in y 4.505 * [backup-simplify]: Simplify 1/3 into 1/3 4.505 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.505 * [taylor]: Taking taylor expansion of x in y 4.505 * [backup-simplify]: Simplify x into x 4.505 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.505 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.506 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.506 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.506 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.506 * [taylor]: Taking taylor expansion of y in y 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (* 1 1) into 1 4.507 * [backup-simplify]: Simplify (/ 1 1) into 1 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.511 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.514 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.514 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.516 * [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 4.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 4.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.518 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.519 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.519 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.520 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 4.520 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.522 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.523 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (+ 0 0) into 0 4.527 * [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 4.527 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.530 * [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 4.530 * [taylor]: Taking taylor expansion of 0 in y 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 4.530 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 4.530 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 4.530 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 4.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.530 * [taylor]: Taking taylor expansion of 1/3 in y 4.530 * [backup-simplify]: Simplify 1/3 into 1/3 4.530 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.530 * [taylor]: Taking taylor expansion of y in y 4.530 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (* 1 1) into 1 4.531 * [backup-simplify]: Simplify (/ 1 1) into 1 4.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.531 * [taylor]: Taking taylor expansion of x in y 4.531 * [backup-simplify]: Simplify x into x 4.531 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.531 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.532 * [backup-simplify]: Simplify (+ 1 0) into 1 4.532 * [backup-simplify]: Simplify (log 1) into 0 4.532 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.532 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.533 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.533 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.533 * [taylor]: Taking taylor expansion of 1/3 in x 4.533 * [backup-simplify]: Simplify 1/3 into 1/3 4.533 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.533 * [taylor]: Taking taylor expansion of y in x 4.533 * [backup-simplify]: Simplify y into y 4.533 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.533 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.533 * [taylor]: Taking taylor expansion of x in x 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [backup-simplify]: Simplify (* 1 1) into 1 4.534 * [backup-simplify]: Simplify (/ 1 1) into 1 4.534 * [backup-simplify]: Simplify (+ 0 1) into 1 4.534 * [backup-simplify]: Simplify (log 1) into 0 4.535 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.535 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.535 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.535 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.535 * [taylor]: Taking taylor expansion of 1/3 in x 4.535 * [backup-simplify]: Simplify 1/3 into 1/3 4.535 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.535 * [taylor]: Taking taylor expansion of y in x 4.535 * [backup-simplify]: Simplify y into y 4.535 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.535 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.535 * [taylor]: Taking taylor expansion of x in x 4.535 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify 1 into 1 4.535 * [backup-simplify]: Simplify (* 1 1) into 1 4.536 * [backup-simplify]: Simplify (/ 1 1) into 1 4.536 * [backup-simplify]: Simplify (+ 0 1) into 1 4.536 * [backup-simplify]: Simplify (log 1) into 0 4.537 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.537 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.537 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.537 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.537 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.537 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.537 * [taylor]: Taking taylor expansion of -2/3 in y 4.537 * [backup-simplify]: Simplify -2/3 into -2/3 4.537 * [taylor]: Taking taylor expansion of (log x) in y 4.537 * [taylor]: Taking taylor expansion of x in y 4.537 * [backup-simplify]: Simplify x into x 4.537 * [backup-simplify]: Simplify (log x) into (log x) 4.537 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.537 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.537 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.539 * [backup-simplify]: Simplify (+ 0 0) into 0 4.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.540 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.541 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.541 * [taylor]: Taking taylor expansion of 0 in y 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.542 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.543 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.544 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.546 * [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)) 4.546 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.547 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 4.547 * [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)))) 4.547 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 4.547 * [taylor]: Taking taylor expansion of 1/3 in y 4.548 * [backup-simplify]: Simplify 1/3 into 1/3 4.548 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 4.548 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.548 * [taylor]: Taking taylor expansion of 1/3 in y 4.548 * [backup-simplify]: Simplify 1/3 into 1/3 4.548 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.548 * [taylor]: Taking taylor expansion of x in y 4.548 * [backup-simplify]: Simplify x into x 4.548 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.548 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.548 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.548 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.548 * [taylor]: Taking taylor expansion of y in y 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.549 * [backup-simplify]: Simplify (* 1 1) into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.556 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.557 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.558 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.561 * [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 4.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 4.564 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.565 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.566 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.569 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.569 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ 0 0) into 0 4.574 * [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 4.575 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.575 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.577 * [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 4.577 * [taylor]: Taking taylor expansion of 0 in y 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 4.578 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.578 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 4.578 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 4.578 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 4.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 4.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 4.578 * [taylor]: Taking taylor expansion of 1/3 in y 4.578 * [backup-simplify]: Simplify 1/3 into 1/3 4.578 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 4.578 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.578 * [taylor]: Taking taylor expansion of y in y 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.578 * [taylor]: Taking taylor expansion of x in y 4.578 * [backup-simplify]: Simplify x into x 4.578 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.578 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.578 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 4.578 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 4.579 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 4.579 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 4.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 4.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 4.579 * [taylor]: Taking taylor expansion of 1/3 in x 4.579 * [backup-simplify]: Simplify 1/3 into 1/3 4.579 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 4.579 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.579 * [taylor]: Taking taylor expansion of y in x 4.579 * [backup-simplify]: Simplify y into y 4.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.579 * [taylor]: Taking taylor expansion of x in x 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.579 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.579 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.579 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 4.579 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 4.579 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 4.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 4.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 4.579 * [taylor]: Taking taylor expansion of 1/3 in x 4.579 * [backup-simplify]: Simplify 1/3 into 1/3 4.579 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 4.579 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.579 * [taylor]: Taking taylor expansion of y in x 4.579 * [backup-simplify]: Simplify y into y 4.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.579 * [taylor]: Taking taylor expansion of x in x 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.580 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.580 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 4.580 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 4.580 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 4.580 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 4.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 4.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 4.580 * [taylor]: Taking taylor expansion of 1/3 in y 4.580 * [backup-simplify]: Simplify 1/3 into 1/3 4.580 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 4.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.580 * [taylor]: Taking taylor expansion of y in y 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (* 1 1) into 1 4.581 * [backup-simplify]: Simplify (log 1) into 0 4.581 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.581 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 4.581 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 4.581 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 4.582 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 4.583 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 4.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.584 * [taylor]: Taking taylor expansion of 0 in y 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.585 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.586 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 4.586 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.587 * [backup-simplify]: Simplify (* 1 1) into 1 4.587 * [backup-simplify]: Simplify (+ 0 1) into 1 4.589 * [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)) 4.589 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 4.590 * [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)) 4.590 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 4.590 * [taylor]: Taking taylor expansion of 1/3 in y 4.590 * [backup-simplify]: Simplify 1/3 into 1/3 4.590 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 4.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 4.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 4.590 * [taylor]: Taking taylor expansion of 1/3 in y 4.590 * [backup-simplify]: Simplify 1/3 into 1/3 4.590 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 4.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.590 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.590 * [taylor]: Taking taylor expansion of y in y 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.591 * [backup-simplify]: Simplify (/ 1 1) into 1 4.592 * [backup-simplify]: Simplify (log 1) into 0 4.592 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.592 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 4.592 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 4.592 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 4.593 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 4.593 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.598 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.599 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 4.601 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.601 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.604 * [backup-simplify]: Simplify (+ 0 0) into 0 4.608 * [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 4.610 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 4.613 * [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 4.613 * [taylor]: Taking taylor expansion of 0 in y 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.618 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 4.623 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.628 * [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 4.629 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 4.630 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 4.632 * [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 4.632 * [backup-simplify]: Simplify 0 into 0 4.633 * [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)))) 4.633 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 4.633 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 4.633 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 4.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.633 * [taylor]: Taking taylor expansion of 1/3 in y 4.633 * [backup-simplify]: Simplify 1/3 into 1/3 4.633 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.633 * [taylor]: Taking taylor expansion of y in y 4.633 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify 1 into 1 4.634 * [backup-simplify]: Simplify (* 1 1) into 1 4.634 * [backup-simplify]: Simplify (/ 1 1) into 1 4.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.634 * [taylor]: Taking taylor expansion of x in y 4.634 * [backup-simplify]: Simplify x into x 4.634 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.634 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.635 * [backup-simplify]: Simplify (+ 1 0) into 1 4.635 * [backup-simplify]: Simplify (log 1) into 0 4.635 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.636 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.636 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.636 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.636 * [taylor]: Taking taylor expansion of 1/3 in x 4.636 * [backup-simplify]: Simplify 1/3 into 1/3 4.636 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.636 * [taylor]: Taking taylor expansion of y in x 4.636 * [backup-simplify]: Simplify y into y 4.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.636 * [taylor]: Taking taylor expansion of x in x 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (* 1 1) into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.637 * [backup-simplify]: Simplify (+ 0 1) into 1 4.638 * [backup-simplify]: Simplify (log 1) into 0 4.638 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.638 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.638 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.638 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.638 * [taylor]: Taking taylor expansion of 1/3 in x 4.638 * [backup-simplify]: Simplify 1/3 into 1/3 4.638 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.638 * [taylor]: Taking taylor expansion of y in x 4.638 * [backup-simplify]: Simplify y into y 4.638 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.638 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.638 * [taylor]: Taking taylor expansion of x in x 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (* 1 1) into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [backup-simplify]: Simplify (+ 0 1) into 1 4.640 * [backup-simplify]: Simplify (log 1) into 0 4.640 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.640 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.640 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.640 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.640 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.640 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.640 * [taylor]: Taking taylor expansion of -2/3 in y 4.640 * [backup-simplify]: Simplify -2/3 into -2/3 4.640 * [taylor]: Taking taylor expansion of (log x) in y 4.640 * [taylor]: Taking taylor expansion of x in y 4.640 * [backup-simplify]: Simplify x into x 4.640 * [backup-simplify]: Simplify (log x) into (log x) 4.640 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.641 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.641 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (+ 0 0) into 0 4.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.643 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.644 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.644 * [taylor]: Taking taylor expansion of 0 in y 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.645 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.646 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.648 * [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)) 4.649 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.649 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 4.650 * [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)))) 4.650 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 4.650 * [taylor]: Taking taylor expansion of 1/3 in y 4.650 * [backup-simplify]: Simplify 1/3 into 1/3 4.650 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 4.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.650 * [taylor]: Taking taylor expansion of 1/3 in y 4.650 * [backup-simplify]: Simplify 1/3 into 1/3 4.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.650 * [taylor]: Taking taylor expansion of x in y 4.650 * [backup-simplify]: Simplify x into x 4.650 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.650 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.651 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.651 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.651 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.651 * [taylor]: Taking taylor expansion of y in y 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (* 1 1) into 1 4.652 * [backup-simplify]: Simplify (/ 1 1) into 1 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.659 * [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 4.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 4.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.664 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.664 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.665 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 4.665 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.669 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.670 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [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 4.680 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.685 * [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 4.685 * [taylor]: Taking taylor expansion of 0 in y 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 4.686 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 4.686 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 4.686 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 4.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.686 * [taylor]: Taking taylor expansion of 1/3 in y 4.686 * [backup-simplify]: Simplify 1/3 into 1/3 4.686 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.687 * [taylor]: Taking taylor expansion of y in y 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (* 1 1) into 1 4.688 * [backup-simplify]: Simplify (/ 1 1) into 1 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.688 * [taylor]: Taking taylor expansion of x in y 4.688 * [backup-simplify]: Simplify x into x 4.688 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.689 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.690 * [backup-simplify]: Simplify (+ 1 0) into 1 4.690 * [backup-simplify]: Simplify (log 1) into 0 4.691 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.691 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.691 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.691 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.691 * [taylor]: Taking taylor expansion of 1/3 in x 4.691 * [backup-simplify]: Simplify 1/3 into 1/3 4.691 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.692 * [taylor]: Taking taylor expansion of y in x 4.692 * [backup-simplify]: Simplify y into y 4.692 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.692 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.692 * [taylor]: Taking taylor expansion of x in x 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 1 into 1 4.693 * [backup-simplify]: Simplify (* 1 1) into 1 4.693 * [backup-simplify]: Simplify (/ 1 1) into 1 4.694 * [backup-simplify]: Simplify (+ 0 1) into 1 4.694 * [backup-simplify]: Simplify (log 1) into 0 4.695 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.695 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.695 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.695 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 4.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.695 * [taylor]: Taking taylor expansion of 1/3 in x 4.695 * [backup-simplify]: Simplify 1/3 into 1/3 4.695 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.695 * [taylor]: Taking taylor expansion of y in x 4.695 * [backup-simplify]: Simplify y into y 4.695 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.696 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.696 * [taylor]: Taking taylor expansion of x in x 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (* 1 1) into 1 4.697 * [backup-simplify]: Simplify (/ 1 1) into 1 4.697 * [backup-simplify]: Simplify (+ 0 1) into 1 4.698 * [backup-simplify]: Simplify (log 1) into 0 4.699 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.699 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.699 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.699 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.699 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.699 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.699 * [taylor]: Taking taylor expansion of -2/3 in y 4.699 * [backup-simplify]: Simplify -2/3 into -2/3 4.699 * [taylor]: Taking taylor expansion of (log x) in y 4.699 * [taylor]: Taking taylor expansion of x in y 4.699 * [backup-simplify]: Simplify x into x 4.699 * [backup-simplify]: Simplify (log x) into (log x) 4.699 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.699 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.700 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.704 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.706 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.706 * [taylor]: Taking taylor expansion of 0 in y 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.708 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.709 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.712 * [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)) 4.712 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.713 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 4.714 * [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)))) 4.714 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 4.714 * [taylor]: Taking taylor expansion of 1/3 in y 4.714 * [backup-simplify]: Simplify 1/3 into 1/3 4.714 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 4.714 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.714 * [taylor]: Taking taylor expansion of 1/3 in y 4.714 * [backup-simplify]: Simplify 1/3 into 1/3 4.714 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.714 * [taylor]: Taking taylor expansion of x in y 4.714 * [backup-simplify]: Simplify x into x 4.714 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.714 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.714 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.715 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.715 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.715 * [taylor]: Taking taylor expansion of y in y 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (* 1 1) into 1 4.715 * [backup-simplify]: Simplify (/ 1 1) into 1 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.718 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.720 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.721 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.723 * [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 4.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 4.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.725 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.726 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.726 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.727 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.730 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.730 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.733 * [backup-simplify]: Simplify (+ 0 0) into 0 4.735 * [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 4.735 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.736 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.739 * [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 4.739 * [taylor]: Taking taylor expansion of 0 in y 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 4.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.740 * [backup-simplify]: Simplify (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) into (pow (pow (+ (pow y 2) (pow x 2)) 2) 1/3) 4.740 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow y 2) (pow x 2)) 2) 1/3) in (x y) around 0 4.740 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) (pow x 2)) 2) 1/3) in y 4.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) (pow x 2)) 2)))) in y 4.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) (pow x 2)) 2))) in y 4.740 * [taylor]: Taking taylor expansion of 1/3 in y 4.740 * [backup-simplify]: Simplify 1/3 into 1/3 4.740 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) (pow x 2)) 2)) in y 4.740 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in y 4.740 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.740 * [taylor]: Taking taylor expansion of y in y 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.740 * [taylor]: Taking taylor expansion of x in y 4.740 * [backup-simplify]: Simplify x into x 4.740 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.740 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.741 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.741 * [backup-simplify]: Simplify (log (pow x 4)) into (log (pow x 4)) 4.741 * [backup-simplify]: Simplify (* 1/3 (log (pow x 4))) into (* 1/3 (log (pow x 4))) 4.741 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 4)))) into (pow (pow x 4) 1/3) 4.741 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) (pow x 2)) 2) 1/3) in x 4.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) (pow x 2)) 2)))) in x 4.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) (pow x 2)) 2))) in x 4.741 * [taylor]: Taking taylor expansion of 1/3 in x 4.741 * [backup-simplify]: Simplify 1/3 into 1/3 4.741 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) (pow x 2)) 2)) in x 4.741 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in x 4.741 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.741 * [taylor]: Taking taylor expansion of y in x 4.742 * [backup-simplify]: Simplify y into y 4.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.742 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.742 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.742 * [backup-simplify]: Simplify (log (pow y 4)) into (log (pow y 4)) 4.743 * [backup-simplify]: Simplify (* 1/3 (log (pow y 4))) into (* 1/3 (log (pow y 4))) 4.743 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 4)))) into (pow (pow y 4) 1/3) 4.743 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) (pow x 2)) 2) 1/3) in x 4.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) (pow x 2)) 2)))) in x 4.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) (pow x 2)) 2))) in x 4.743 * [taylor]: Taking taylor expansion of 1/3 in x 4.743 * [backup-simplify]: Simplify 1/3 into 1/3 4.743 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) (pow x 2)) 2)) in x 4.743 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in x 4.743 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.743 * [taylor]: Taking taylor expansion of y in x 4.743 * [backup-simplify]: Simplify y into y 4.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.743 * [taylor]: Taking taylor expansion of x in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.744 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.744 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.744 * [backup-simplify]: Simplify (log (pow y 4)) into (log (pow y 4)) 4.744 * [backup-simplify]: Simplify (* 1/3 (log (pow y 4))) into (* 1/3 (log (pow y 4))) 4.744 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 4)))) into (pow (pow y 4) 1/3) 4.744 * [taylor]: Taking taylor expansion of (pow (pow y 4) 1/3) in y 4.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 4)))) in y 4.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 4))) in y 4.744 * [taylor]: Taking taylor expansion of 1/3 in y 4.744 * [backup-simplify]: Simplify 1/3 into 1/3 4.744 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 4.745 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.745 * [taylor]: Taking taylor expansion of y in y 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 1 into 1 4.745 * [backup-simplify]: Simplify (* 1 1) into 1 4.746 * [backup-simplify]: Simplify (* 1 1) into 1 4.747 * [backup-simplify]: Simplify (log 1) into 0 4.747 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 4.747 * [backup-simplify]: Simplify (* 1/3 (* 4 (log y))) into (* 4/3 (log y)) 4.747 * [backup-simplify]: Simplify (exp (* 4/3 (log y))) into (pow y 4/3) 4.748 * [backup-simplify]: Simplify (pow y 4/3) into (pow y 4/3) 4.748 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.748 * [backup-simplify]: Simplify (+ 0 0) into 0 4.749 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 4.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 4) 1)))) 1) into 0 4.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 4)))) into 0 4.752 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 4)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.752 * [taylor]: Taking taylor expansion of 0 in y 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.756 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 4.757 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 4 (log y)))) into 0 4.758 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.758 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.759 * [backup-simplify]: Simplify (* 1 1) into 1 4.760 * [backup-simplify]: Simplify (+ 0 1) into 1 4.761 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 4.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 4) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (pow y 2))) 1)) (pow (pow y 4) 1)))) 2) into (/ 2 (pow y 2)) 4.764 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 4))))) into (* 2/3 (/ 1 (pow y 2))) 4.765 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 4)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)))) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 4.765 * [taylor]: Taking taylor expansion of (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) in y 4.765 * [taylor]: Taking taylor expansion of 2/3 in y 4.765 * [backup-simplify]: Simplify 2/3 into 2/3 4.765 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 4.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 4.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 4.765 * [taylor]: Taking taylor expansion of 1/3 in y 4.765 * [backup-simplify]: Simplify 1/3 into 1/3 4.766 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 4.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.766 * [taylor]: Taking taylor expansion of y in y 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [backup-simplify]: Simplify (* 1 1) into 1 4.766 * [backup-simplify]: Simplify (/ 1 1) into 1 4.767 * [backup-simplify]: Simplify (log 1) into 0 4.767 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.768 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.768 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.768 * [backup-simplify]: Simplify (* 2/3 (pow y -2/3)) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 4.768 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 4.768 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.773 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 4.775 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 4 (log y))))) into 0 4.776 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.779 * [backup-simplify]: Simplify (+ 0 0) into 0 4.780 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 4.786 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 4) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 2 (pow y 2))) 1)) (pow (pow y 4) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 4) 1)))) 6) into 0 4.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 4)))))) into 0 4.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 4)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.790 * [taylor]: Taking taylor expansion of 0 in y 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.794 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 4.796 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.797 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow y -2/3))) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.804 * [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 4.805 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 4.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 4 (log y)))))) into 0 4.808 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify (+ (* (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) (pow (* 1 x) 2)) (pow y 4/3)) into (+ (pow y 4/3) (* 2/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3)))) 4.809 * [backup-simplify]: Simplify (* (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) 4.809 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in (x y) around 0 4.809 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in y 4.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)))) in y 4.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2))) in y 4.809 * [taylor]: Taking taylor expansion of 1/3 in y 4.809 * [backup-simplify]: Simplify 1/3 into 1/3 4.809 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)) in y 4.809 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in y 4.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.809 * [taylor]: Taking taylor expansion of y in y 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (* 1 1) into 1 4.810 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.811 * [taylor]: Taking taylor expansion of x in y 4.811 * [backup-simplify]: Simplify x into x 4.811 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.811 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.811 * [backup-simplify]: Simplify (+ 1 0) into 1 4.812 * [backup-simplify]: Simplify (* 1 1) into 1 4.812 * [backup-simplify]: Simplify (log 1) into 0 4.813 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.813 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 4.813 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 4.813 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in x 4.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)))) in x 4.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2))) in x 4.813 * [taylor]: Taking taylor expansion of 1/3 in x 4.813 * [backup-simplify]: Simplify 1/3 into 1/3 4.813 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)) in x 4.813 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 4.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.813 * [taylor]: Taking taylor expansion of y in x 4.813 * [backup-simplify]: Simplify y into y 4.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (* 1 1) into 1 4.814 * [backup-simplify]: Simplify (/ 1 1) into 1 4.815 * [backup-simplify]: Simplify (+ 0 1) into 1 4.815 * [backup-simplify]: Simplify (* 1 1) into 1 4.816 * [backup-simplify]: Simplify (log 1) into 0 4.816 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.816 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 4.816 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 4.816 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in x 4.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)))) in x 4.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2))) in x 4.816 * [taylor]: Taking taylor expansion of 1/3 in x 4.816 * [backup-simplify]: Simplify 1/3 into 1/3 4.816 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)) in x 4.817 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 4.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.817 * [taylor]: Taking taylor expansion of y in x 4.817 * [backup-simplify]: Simplify y into y 4.817 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.817 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.817 * [taylor]: Taking taylor expansion of x in x 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (* 1 1) into 1 4.818 * [backup-simplify]: Simplify (/ 1 1) into 1 4.818 * [backup-simplify]: Simplify (+ 0 1) into 1 4.819 * [backup-simplify]: Simplify (* 1 1) into 1 4.819 * [backup-simplify]: Simplify (log 1) into 0 4.820 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.820 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 4.820 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 4.820 * [taylor]: Taking taylor expansion of (pow x -4/3) in y 4.820 * [taylor]: Taking taylor expansion of (exp (* -4/3 (log x))) in y 4.820 * [taylor]: Taking taylor expansion of (* -4/3 (log x)) in y 4.820 * [taylor]: Taking taylor expansion of -4/3 in y 4.820 * [backup-simplify]: Simplify -4/3 into -4/3 4.820 * [taylor]: Taking taylor expansion of (log x) in y 4.820 * [taylor]: Taking taylor expansion of x in y 4.820 * [backup-simplify]: Simplify x into x 4.820 * [backup-simplify]: Simplify (log x) into (log x) 4.820 * [backup-simplify]: Simplify (* -4/3 (log x)) into (* -4/3 (log x)) 4.820 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 4.820 * [backup-simplify]: Simplify (pow x -4/3) into (pow x -4/3) 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (+ 0 0) into 0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.825 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.826 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 4.826 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.827 * [taylor]: Taking taylor expansion of 0 in y 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.828 * [backup-simplify]: Simplify (+ (* -4/3 0) (* 0 (log x))) into 0 4.829 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.831 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.832 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (/ 2 (pow y 2)) 4.835 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.835 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into (* 2/3 (/ 1 (pow y 2))) 4.836 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)))) into (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) 4.837 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) in y 4.837 * [taylor]: Taking taylor expansion of 2/3 in y 4.837 * [backup-simplify]: Simplify 2/3 into 2/3 4.837 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2))) in y 4.837 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 4.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 4.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 4.837 * [taylor]: Taking taylor expansion of 1/3 in y 4.837 * [backup-simplify]: Simplify 1/3 into 1/3 4.837 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 4.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.837 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.837 * [taylor]: Taking taylor expansion of x in y 4.837 * [backup-simplify]: Simplify x into x 4.837 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.837 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.837 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.837 * [backup-simplify]: Simplify (log (/ 1 (pow x 4))) into (log (/ 1 (pow x 4))) 4.838 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 4)))) into (* 1/3 (log (/ 1 (pow x 4)))) 4.838 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 4))))) into (pow (/ 1 (pow x 4)) 1/3) 4.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.838 * [taylor]: Taking taylor expansion of y in y 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (* 1 1) into 1 4.839 * [backup-simplify]: Simplify (/ 1 1) into 1 4.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.842 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 4.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 1) into 0 4.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 4))))) into 0 4.845 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.846 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.846 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 4.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 2) into 0 4.850 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 4)))))) into 0 4.851 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.852 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.853 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (* 0 1)) into 0 4.853 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 4)) 1/3) 1) into (pow (/ 1 (pow x 4)) 1/3) 4.854 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 4)) 1/3)))) into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.857 * [backup-simplify]: Simplify (+ (* -4/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.858 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.862 * [backup-simplify]: Simplify (+ 0 0) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.867 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 4.871 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.871 * [taylor]: Taking taylor expansion of 0 in y 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (pow (/ 1 x) -4/3) into (pow (/ 1 x) -4/3) 4.872 * [backup-simplify]: Simplify (* (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) 4.872 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in (x y) around 0 4.872 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in y 4.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)))) in y 4.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2))) in y 4.872 * [taylor]: Taking taylor expansion of 1/3 in y 4.872 * [backup-simplify]: Simplify 1/3 into 1/3 4.872 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)) in y 4.872 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in y 4.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.872 * [taylor]: Taking taylor expansion of y in y 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (* 1 1) into 1 4.873 * [backup-simplify]: Simplify (/ 1 1) into 1 4.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.873 * [taylor]: Taking taylor expansion of x in y 4.873 * [backup-simplify]: Simplify x into x 4.873 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.873 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.874 * [backup-simplify]: Simplify (+ 1 0) into 1 4.874 * [backup-simplify]: Simplify (* 1 1) into 1 4.875 * [backup-simplify]: Simplify (log 1) into 0 4.875 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 4.875 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 4.875 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 4.875 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in x 4.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)))) in x 4.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2))) in x 4.875 * [taylor]: Taking taylor expansion of 1/3 in x 4.875 * [backup-simplify]: Simplify 1/3 into 1/3 4.875 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)) in x 4.875 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 4.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.876 * [taylor]: Taking taylor expansion of y in x 4.876 * [backup-simplify]: Simplify y into y 4.876 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.876 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.876 * [taylor]: Taking taylor expansion of x in x 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (* 1 1) into 1 4.877 * [backup-simplify]: Simplify (/ 1 1) into 1 4.877 * [backup-simplify]: Simplify (+ 0 1) into 1 4.878 * [backup-simplify]: Simplify (* 1 1) into 1 4.878 * [backup-simplify]: Simplify (log 1) into 0 4.879 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.879 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 4.879 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 4.879 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1/3) in x 4.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)))) in x 4.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2))) in x 4.879 * [taylor]: Taking taylor expansion of 1/3 in x 4.879 * [backup-simplify]: Simplify 1/3 into 1/3 4.879 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2)) in x 4.879 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 4.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.879 * [taylor]: Taking taylor expansion of y in x 4.879 * [backup-simplify]: Simplify y into y 4.879 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.879 * [taylor]: Taking taylor expansion of x in x 4.879 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (* 1 1) into 1 4.880 * [backup-simplify]: Simplify (/ 1 1) into 1 4.881 * [backup-simplify]: Simplify (+ 0 1) into 1 4.881 * [backup-simplify]: Simplify (* 1 1) into 1 4.882 * [backup-simplify]: Simplify (log 1) into 0 4.882 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.882 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 4.883 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 4.883 * [taylor]: Taking taylor expansion of (pow x -4/3) in y 4.883 * [taylor]: Taking taylor expansion of (exp (* -4/3 (log x))) in y 4.883 * [taylor]: Taking taylor expansion of (* -4/3 (log x)) in y 4.883 * [taylor]: Taking taylor expansion of -4/3 in y 4.883 * [backup-simplify]: Simplify -4/3 into -4/3 4.883 * [taylor]: Taking taylor expansion of (log x) in y 4.883 * [taylor]: Taking taylor expansion of x in y 4.883 * [backup-simplify]: Simplify x into x 4.883 * [backup-simplify]: Simplify (log x) into (log x) 4.883 * [backup-simplify]: Simplify (* -4/3 (log x)) into (* -4/3 (log x)) 4.883 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 4.883 * [backup-simplify]: Simplify (pow x -4/3) into (pow x -4/3) 4.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.888 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.888 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 4.889 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.889 * [taylor]: Taking taylor expansion of 0 in y 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.891 * [backup-simplify]: Simplify (+ (* -4/3 0) (* 0 (log x))) into 0 4.892 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.892 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.895 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (/ 2 (pow y 2)) 4.898 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.899 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into (* 2/3 (/ 1 (pow y 2))) 4.900 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)))) into (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) 4.900 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) in y 4.900 * [taylor]: Taking taylor expansion of 2/3 in y 4.900 * [backup-simplify]: Simplify 2/3 into 2/3 4.900 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2))) in y 4.900 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 4.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 4.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 4.900 * [taylor]: Taking taylor expansion of 1/3 in y 4.900 * [backup-simplify]: Simplify 1/3 into 1/3 4.900 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 4.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.900 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.900 * [taylor]: Taking taylor expansion of x in y 4.900 * [backup-simplify]: Simplify x into x 4.900 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.901 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.901 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.901 * [backup-simplify]: Simplify (log (/ 1 (pow x 4))) into (log (/ 1 (pow x 4))) 4.901 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 4)))) into (* 1/3 (log (/ 1 (pow x 4)))) 4.901 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 4))))) into (pow (/ 1 (pow x 4)) 1/3) 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.901 * [taylor]: Taking taylor expansion of y in y 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.906 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 4.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 1) into 0 4.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 4))))) into 0 4.909 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.909 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.910 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 4.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 2) into 0 4.914 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 4)))))) into 0 4.915 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.917 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (* 0 1)) into 0 4.917 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 4)) 1/3) 1) into (pow (/ 1 (pow x 4)) 1/3) 4.918 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 4)) 1/3)))) into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.921 * [backup-simplify]: Simplify (+ (* -4/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.923 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.933 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 4.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 4.938 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.938 * [taylor]: Taking taylor expansion of 0 in y 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -4/3) into (pow (/ -1 x) -4/3) 4.938 * * * [progress]: simplifying candidates 4.941 * [simplify]: Simplifying: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (+ 1/3 1/3) (+ 1 1) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ 1 1) (+ (log (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y))))) (log (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (exp (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* 1 1) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* 2 1/3) (* 2 1) (* (cbrt (+ (* x x) (* y y))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt 1)) (* (cbrt (+ (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))) (* (cbrt (+ (* x x) (* y y))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) 1) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (+ (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) (+ (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) (+ (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) (+ (pow y 4/3) (* 2/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3)))) (pow (/ 1 x) -4/3) (pow (/ -1 x) -4/3) 4.945 * * [simplify]: iteration 0: 102 enodes 4.997 * * [simplify]: iteration 1: 258 enodes 5.156 * * [simplify]: iteration 2: 1154 enodes 5.474 * * [simplify]: iteration complete: 5001 enodes 5.474 * * [simplify]: Extracting #0: cost 43 inf + 0 5.475 * * [simplify]: Extracting #1: cost 534 inf + 3 5.478 * * [simplify]: Extracting #2: cost 1065 inf + 347 5.485 * * [simplify]: Extracting #3: cost 1603 inf + 16809 5.503 * * [simplify]: Extracting #4: cost 1229 inf + 95743 5.570 * * [simplify]: Extracting #5: cost 469 inf + 257387 5.642 * * [simplify]: Extracting #6: cost 29 inf + 388711 5.716 * * [simplify]: Extracting #7: cost 0 inf + 398439 5.778 * [simplify]: Simplified to: (log (cbrt (+ (* y y) (* x x)))) (exp (cbrt (+ (* y y) (* x x)))) (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (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 (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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 (cbrt (+ (* y y) (* x x)))) (exp (cbrt (+ (* y y) (* x x)))) (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (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 (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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 (cbrt (+ (* y y) (* x x)))) (exp (cbrt (+ (* y y) (* x x)))) (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (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 (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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)))) 2/3 2 (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) 2 (+ (log (cbrt (+ (* y y) (* x x)))) (log (cbrt (+ (* y y) (* x x))))) (+ (log (cbrt (+ (* y y) (* x x)))) (log (cbrt (+ (* y y) (* x x))))) (exp (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))) (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (fabs (cbrt (+ (* y y) (* x x)))) (fabs (cbrt (+ (* y y) (* x x)))) (* (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (* (cbrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y)))) (cbrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y))))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (* (cbrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y)))) (cbrt (* (+ x y) (- x y)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x)))))) (* (cbrt (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y)))) (cbrt (* (+ x y) (- x y)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (* (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x))))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) 1 (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))) 1 (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (* (sqrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (* (sqrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (* (sqrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (* (sqrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))) 2/3 2 (* (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x)))))) (* (sqrt (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (* (sqrt (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (+ (* (* (* y y) (* y y)) (* y y)) (* (* x x) (* (* x x) (* x x))))) (cbrt (+ (* y y) (* x x)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* y y) (* x x)))) (+ (* (cbrt y) (cbrt y)) (* (* 1/3 (* x x)) (cbrt (/ 1 (* (* y y) (* y y)))))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (cbrt y) (cbrt y)) (* (* 1/3 (* x x)) (cbrt (/ 1 (* (* y y) (* y y)))))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (cbrt y) (cbrt y)) (* (* 1/3 (* x x)) (cbrt (/ 1 (* (* y y) (* y y)))))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* (* x x) 2/3) (cbrt (/ 1 (* y y)))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (pow (/ 1 x) -4/3) (pow (/ -1 x) -4/3) 5.786 * * * [progress]: adding candidates to table 6.295 * * [progress]: iteration 3 / 4 6.295 * * * [progress]: picking best candidate 6.302 * * * * [pick]: Picked # 6.302 * * * [progress]: localizing error 6.381 * * * [progress]: generating rewritten candidates 6.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.204 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 7.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 7.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 7.382 * * * [progress]: generating series expansions 7.382 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.382 * [backup-simplify]: Simplify (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) into (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) 7.382 * [approximate]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in (y x) around 0 7.382 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 7.382 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 7.382 * [taylor]: Taking taylor expansion of (pow x 6) in x 7.382 * [taylor]: Taking taylor expansion of x in x 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify 1 into 1 7.382 * [taylor]: Taking taylor expansion of (pow y 6) in x 7.382 * [taylor]: Taking taylor expansion of y in x 7.383 * [backup-simplify]: Simplify y into y 7.383 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 7.383 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 7.383 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.383 * [taylor]: Taking taylor expansion of y in x 7.383 * [backup-simplify]: Simplify y into y 7.383 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.383 * [taylor]: Taking taylor expansion of x in x 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 1 into 1 7.383 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.383 * [taylor]: Taking taylor expansion of x in x 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 1 into 1 7.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.383 * [taylor]: Taking taylor expansion of y in x 7.383 * [backup-simplify]: Simplify y into y 7.383 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.383 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 7.383 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 7.383 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 7.383 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.383 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.383 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 7.384 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 7.384 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 7.384 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 7.384 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 7.384 * [taylor]: Taking taylor expansion of (pow x 6) in y 7.384 * [taylor]: Taking taylor expansion of x in y 7.384 * [backup-simplify]: Simplify x into x 7.384 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.384 * [taylor]: Taking taylor expansion of y in y 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.384 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 7.384 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 7.384 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.384 * [taylor]: Taking taylor expansion of y in y 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.384 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.384 * [taylor]: Taking taylor expansion of x in y 7.384 * [backup-simplify]: Simplify x into x 7.384 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.384 * [taylor]: Taking taylor expansion of x in y 7.384 * [backup-simplify]: Simplify x into x 7.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.384 * [taylor]: Taking taylor expansion of y in y 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.384 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.384 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 7.384 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 7.384 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 7.385 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.385 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.385 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 7.385 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 7.385 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 7.385 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 7.385 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 7.385 * [taylor]: Taking taylor expansion of (pow x 6) in y 7.385 * [taylor]: Taking taylor expansion of x in y 7.385 * [backup-simplify]: Simplify x into x 7.385 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.385 * [taylor]: Taking taylor expansion of y in y 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 7.385 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 7.385 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.385 * [taylor]: Taking taylor expansion of y in y 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.385 * [taylor]: Taking taylor expansion of x in y 7.385 * [backup-simplify]: Simplify x into x 7.385 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.385 * [taylor]: Taking taylor expansion of x in y 7.385 * [backup-simplify]: Simplify x into x 7.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.385 * [taylor]: Taking taylor expansion of y in y 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.385 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 7.386 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 7.386 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 7.386 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.386 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.386 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 7.386 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 7.386 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 7.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.386 * [taylor]: Taking taylor expansion of x in x 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.386 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.386 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 7.387 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 7.387 * [backup-simplify]: Simplify (+ 0 0) into 0 7.387 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.388 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.389 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 7.389 * [taylor]: Taking taylor expansion of 0 in x 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.390 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 7.390 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (* 0 (pow x 3)))) into 0 7.391 * [backup-simplify]: Simplify (+ 0 0) into 0 7.391 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.392 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 7.392 * [backup-simplify]: Simplify (+ 0 0) into 0 7.392 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.392 * [backup-simplify]: Simplify (* 1 1) into 1 7.392 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.392 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 7.393 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 7.393 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 1 7.393 * [taylor]: Taking taylor expansion of 1 in x 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify (* 1 1) into 1 7.393 * [backup-simplify]: Simplify 1 into 1 7.394 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.395 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 7.395 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3))))) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.396 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.397 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 7.397 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.398 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.398 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.398 * [backup-simplify]: Simplify (- 0) into 0 7.399 * [backup-simplify]: Simplify (+ 0 0) into 0 7.399 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))) (* 0 (/ (- (pow x 2)) (pow x 4))) (* 1 (/ 0 (pow x 4))))) into 0 7.399 * [taylor]: Taking taylor expansion of 0 in x 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.400 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.402 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 7.402 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3)))))) into 0 7.404 * [backup-simplify]: Simplify (+ 0 0) into 0 7.405 * [backup-simplify]: Simplify (* 1 1) into 1 7.405 * [backup-simplify]: Simplify (* 1 1) into 1 7.406 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.407 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 7.407 * [backup-simplify]: Simplify (+ 1 0) into 1 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.408 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.409 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.409 * [backup-simplify]: Simplify (- 0) into 0 7.409 * [backup-simplify]: Simplify (+ 1 0) into 1 7.410 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 1 (pow x 4))) (* 0 (/ 0 (pow x 4))) (* 1 (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 7.410 * [taylor]: Taking taylor expansion of 0 in x 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (pow x 2)) 7.411 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 y) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (* (/ 1 y) (/ 1 y)))) (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 x) (/ 1 x)))) (+ (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (- (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) 7.411 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 7.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 7.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 7.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 7.411 * [taylor]: Taking taylor expansion of (pow y 6) in x 7.411 * [taylor]: Taking taylor expansion of y in x 7.411 * [backup-simplify]: Simplify y into y 7.411 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.411 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 7.411 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 7.412 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 7.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 7.412 * [taylor]: Taking taylor expansion of (pow x 6) in x 7.412 * [taylor]: Taking taylor expansion of x in x 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 1 into 1 7.412 * [backup-simplify]: Simplify (* 1 1) into 1 7.412 * [backup-simplify]: Simplify (* 1 1) into 1 7.413 * [backup-simplify]: Simplify (* 1 1) into 1 7.413 * [backup-simplify]: Simplify (/ 1 1) into 1 7.413 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 7.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.413 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.413 * [taylor]: Taking taylor expansion of y in x 7.413 * [backup-simplify]: Simplify y into y 7.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.413 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.413 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.413 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.413 * [taylor]: Taking taylor expansion of x in x 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify 1 into 1 7.414 * [backup-simplify]: Simplify (* 1 1) into 1 7.414 * [backup-simplify]: Simplify (* 1 1) into 1 7.414 * [backup-simplify]: Simplify (/ 1 1) into 1 7.414 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.414 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.414 * [taylor]: Taking taylor expansion of x in x 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 1 into 1 7.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.414 * [taylor]: Taking taylor expansion of y in x 7.414 * [backup-simplify]: Simplify y into y 7.415 * [backup-simplify]: Simplify (* 1 1) into 1 7.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.415 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.415 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.415 * [backup-simplify]: Simplify (+ 0 1) into 1 7.415 * [backup-simplify]: Simplify (+ 0 1) into 1 7.416 * [backup-simplify]: Simplify (+ 1 0) into 1 7.416 * [backup-simplify]: Simplify (/ 1 1) into 1 7.416 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 7.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 7.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 7.416 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.416 * [taylor]: Taking taylor expansion of y in y 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify 1 into 1 7.416 * [backup-simplify]: Simplify (* 1 1) into 1 7.417 * [backup-simplify]: Simplify (* 1 1) into 1 7.417 * [backup-simplify]: Simplify (* 1 1) into 1 7.417 * [backup-simplify]: Simplify (/ 1 1) into 1 7.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 7.417 * [taylor]: Taking taylor expansion of (pow x 6) in y 7.417 * [taylor]: Taking taylor expansion of x in y 7.417 * [backup-simplify]: Simplify x into x 7.417 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.417 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 7.418 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 7.418 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 7.418 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 7.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.418 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.418 * [taylor]: Taking taylor expansion of y in y 7.418 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify 1 into 1 7.418 * [backup-simplify]: Simplify (* 1 1) into 1 7.418 * [backup-simplify]: Simplify (* 1 1) into 1 7.419 * [backup-simplify]: Simplify (/ 1 1) into 1 7.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.419 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.419 * [taylor]: Taking taylor expansion of x in y 7.419 * [backup-simplify]: Simplify x into x 7.419 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.419 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.419 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.419 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.419 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.419 * [taylor]: Taking taylor expansion of x in y 7.419 * [backup-simplify]: Simplify x into x 7.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.419 * [taylor]: Taking taylor expansion of y in y 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 1 into 1 7.419 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.419 * [backup-simplify]: Simplify (* 1 1) into 1 7.420 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.420 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.420 * [backup-simplify]: Simplify (+ 1 0) into 1 7.420 * [backup-simplify]: Simplify (+ 1 0) into 1 7.421 * [backup-simplify]: Simplify (+ 1 0) into 1 7.421 * [backup-simplify]: Simplify (/ 1 1) into 1 7.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 7.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 7.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 7.421 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.421 * [taylor]: Taking taylor expansion of y in y 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify 1 into 1 7.421 * [backup-simplify]: Simplify (* 1 1) into 1 7.421 * [backup-simplify]: Simplify (* 1 1) into 1 7.422 * [backup-simplify]: Simplify (* 1 1) into 1 7.422 * [backup-simplify]: Simplify (/ 1 1) into 1 7.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 7.422 * [taylor]: Taking taylor expansion of (pow x 6) in y 7.422 * [taylor]: Taking taylor expansion of x in y 7.422 * [backup-simplify]: Simplify x into x 7.422 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.422 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 7.422 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 7.422 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 7.422 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 7.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.423 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.423 * [taylor]: Taking taylor expansion of y in y 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (* 1 1) into 1 7.423 * [backup-simplify]: Simplify (* 1 1) into 1 7.423 * [backup-simplify]: Simplify (/ 1 1) into 1 7.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.423 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.423 * [taylor]: Taking taylor expansion of x in y 7.423 * [backup-simplify]: Simplify x into x 7.424 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.424 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.424 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.424 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.424 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.424 * [taylor]: Taking taylor expansion of x in y 7.424 * [backup-simplify]: Simplify x into x 7.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.424 * [taylor]: Taking taylor expansion of y in y 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.424 * [backup-simplify]: Simplify (* 1 1) into 1 7.424 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.424 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.425 * [backup-simplify]: Simplify (+ 1 0) into 1 7.425 * [backup-simplify]: Simplify (+ 1 0) into 1 7.425 * [backup-simplify]: Simplify (+ 1 0) into 1 7.426 * [backup-simplify]: Simplify (/ 1 1) into 1 7.426 * [taylor]: Taking taylor expansion of 1 in x 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.428 * [backup-simplify]: Simplify (+ 0 0) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (+ 0 0) into 0 7.430 * [backup-simplify]: Simplify (+ 0 0) into 0 7.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.431 * [taylor]: Taking taylor expansion of 0 in x 7.431 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.436 * [backup-simplify]: Simplify (+ 0 0) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (+ 0 0) into 0 7.439 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 7.440 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 7.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 7.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.442 * [taylor]: Taking taylor expansion of x in x 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.442 * [backup-simplify]: Simplify (* 1 1) into 1 7.443 * [backup-simplify]: Simplify (/ 1 1) into 1 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify 1 into 1 7.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.448 * [backup-simplify]: Simplify (+ 0 0) into 0 7.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.452 * [backup-simplify]: Simplify (+ 0 0) into 0 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.453 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.453 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.454 * [backup-simplify]: Simplify (- 0) into 0 7.455 * [backup-simplify]: Simplify (+ 0 0) into 0 7.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 7.457 * [taylor]: Taking taylor expansion of 0 in x 7.457 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.464 * [backup-simplify]: Simplify (+ 0 0) into 0 7.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 4))) into (/ 1 (pow x 4)) 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.469 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.470 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 7.470 * [backup-simplify]: Simplify (- 0) into 0 7.470 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 7.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 7.472 * [taylor]: Taking taylor expansion of 0 in x 7.472 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow y 2) (pow x 2)) 7.475 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (- y)) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (* (/ 1 (- y)) (/ 1 (- y))))) (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x))))) (+ (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (- (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) 7.475 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 7.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 7.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 7.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 7.475 * [taylor]: Taking taylor expansion of (pow y 6) in x 7.475 * [taylor]: Taking taylor expansion of y in x 7.475 * [backup-simplify]: Simplify y into y 7.475 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.475 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 7.475 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 7.475 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 7.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 7.475 * [taylor]: Taking taylor expansion of (pow x 6) in x 7.475 * [taylor]: Taking taylor expansion of x in x 7.475 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify 1 into 1 7.476 * [backup-simplify]: Simplify (* 1 1) into 1 7.476 * [backup-simplify]: Simplify (* 1 1) into 1 7.476 * [backup-simplify]: Simplify (* 1 1) into 1 7.476 * [backup-simplify]: Simplify (/ 1 1) into 1 7.477 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 7.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.477 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.477 * [taylor]: Taking taylor expansion of y in x 7.477 * [backup-simplify]: Simplify y into y 7.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.477 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.477 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.477 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.477 * [taylor]: Taking taylor expansion of x in x 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (* 1 1) into 1 7.478 * [backup-simplify]: Simplify (* 1 1) into 1 7.478 * [backup-simplify]: Simplify (/ 1 1) into 1 7.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.478 * [taylor]: Taking taylor expansion of x in x 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.478 * [taylor]: Taking taylor expansion of y in x 7.478 * [backup-simplify]: Simplify y into y 7.478 * [backup-simplify]: Simplify (* 1 1) into 1 7.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.479 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.479 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.479 * [backup-simplify]: Simplify (+ 0 1) into 1 7.479 * [backup-simplify]: Simplify (+ 0 1) into 1 7.480 * [backup-simplify]: Simplify (+ 1 0) into 1 7.480 * [backup-simplify]: Simplify (/ 1 1) into 1 7.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 7.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 7.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 7.480 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.480 * [taylor]: Taking taylor expansion of y in y 7.480 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify (* 1 1) into 1 7.481 * [backup-simplify]: Simplify (* 1 1) into 1 7.481 * [backup-simplify]: Simplify (* 1 1) into 1 7.481 * [backup-simplify]: Simplify (/ 1 1) into 1 7.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 7.481 * [taylor]: Taking taylor expansion of (pow x 6) in y 7.481 * [taylor]: Taking taylor expansion of x in y 7.481 * [backup-simplify]: Simplify x into x 7.481 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.481 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 7.482 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 7.482 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 7.482 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 7.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.482 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.482 * [taylor]: Taking taylor expansion of y in y 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 1 into 1 7.482 * [backup-simplify]: Simplify (* 1 1) into 1 7.482 * [backup-simplify]: Simplify (* 1 1) into 1 7.483 * [backup-simplify]: Simplify (/ 1 1) into 1 7.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.483 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.483 * [taylor]: Taking taylor expansion of x in y 7.483 * [backup-simplify]: Simplify x into x 7.483 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.483 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.483 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.483 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.483 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.483 * [taylor]: Taking taylor expansion of x in y 7.483 * [backup-simplify]: Simplify x into x 7.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.483 * [taylor]: Taking taylor expansion of y in y 7.483 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify 1 into 1 7.483 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.484 * [backup-simplify]: Simplify (* 1 1) into 1 7.484 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.484 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.484 * [backup-simplify]: Simplify (+ 1 0) into 1 7.484 * [backup-simplify]: Simplify (+ 1 0) into 1 7.485 * [backup-simplify]: Simplify (+ 1 0) into 1 7.485 * [backup-simplify]: Simplify (/ 1 1) into 1 7.485 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 7.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 7.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 7.485 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.485 * [taylor]: Taking taylor expansion of y in y 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [backup-simplify]: Simplify (* 1 1) into 1 7.486 * [backup-simplify]: Simplify (* 1 1) into 1 7.486 * [backup-simplify]: Simplify (* 1 1) into 1 7.486 * [backup-simplify]: Simplify (/ 1 1) into 1 7.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 7.486 * [taylor]: Taking taylor expansion of (pow x 6) in y 7.486 * [taylor]: Taking taylor expansion of x in y 7.486 * [backup-simplify]: Simplify x into x 7.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.486 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 7.486 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 7.487 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 7.487 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 7.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.487 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.487 * [taylor]: Taking taylor expansion of y in y 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 1 into 1 7.487 * [backup-simplify]: Simplify (* 1 1) into 1 7.487 * [backup-simplify]: Simplify (* 1 1) into 1 7.488 * [backup-simplify]: Simplify (/ 1 1) into 1 7.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.488 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.488 * [taylor]: Taking taylor expansion of x in y 7.488 * [backup-simplify]: Simplify x into x 7.488 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.488 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.488 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.488 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.488 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.488 * [taylor]: Taking taylor expansion of x in y 7.488 * [backup-simplify]: Simplify x into x 7.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.488 * [taylor]: Taking taylor expansion of y in y 7.488 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify 1 into 1 7.488 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.488 * [backup-simplify]: Simplify (* 1 1) into 1 7.489 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.489 * [backup-simplify]: Simplify (+ 1 0) into 1 7.490 * [backup-simplify]: Simplify (+ 1 0) into 1 7.490 * [backup-simplify]: Simplify (+ 1 0) into 1 7.491 * [backup-simplify]: Simplify (/ 1 1) into 1 7.491 * [taylor]: Taking taylor expansion of 1 in x 7.491 * [backup-simplify]: Simplify 1 into 1 7.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (+ 0 0) into 0 7.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.497 * [backup-simplify]: Simplify (+ 0 0) into 0 7.498 * [backup-simplify]: Simplify (+ 0 0) into 0 7.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.498 * [taylor]: Taking taylor expansion of 0 in x 7.498 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.502 * [backup-simplify]: Simplify (+ 0 0) into 0 7.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (+ 0 0) into 0 7.504 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 7.504 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 7.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.505 * [taylor]: Taking taylor expansion of x in x 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify (* 1 1) into 1 7.506 * [backup-simplify]: Simplify (/ 1 1) into 1 7.506 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify 1 into 1 7.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (+ 0 0) into 0 7.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (+ 0 0) into 0 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.512 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.512 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.513 * [backup-simplify]: Simplify (- 0) into 0 7.513 * [backup-simplify]: Simplify (+ 0 0) into 0 7.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 7.514 * [taylor]: Taking taylor expansion of 0 in x 7.514 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.519 * [backup-simplify]: Simplify (+ 0 0) into 0 7.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 4))) into (/ 1 (pow x 4)) 7.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.522 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.523 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 7.523 * [backup-simplify]: Simplify (- 0) into 0 7.524 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 7.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 7.525 * [taylor]: Taking taylor expansion of 0 in x 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow y 2) (pow x 2)) 7.527 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 7.527 * [backup-simplify]: Simplify (* (* x x) (* y y)) into (* (pow x 2) (pow y 2)) 7.527 * [approximate]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in (x y) around 0 7.527 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.527 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.527 * [taylor]: Taking taylor expansion of x in y 7.527 * [backup-simplify]: Simplify x into x 7.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.527 * [taylor]: Taking taylor expansion of y in y 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 1 into 1 7.527 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.527 * [taylor]: Taking taylor expansion of x in x 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 1 into 1 7.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.527 * [taylor]: Taking taylor expansion of y in x 7.527 * [backup-simplify]: Simplify y into y 7.527 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.527 * [taylor]: Taking taylor expansion of x in x 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 1 into 1 7.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.527 * [taylor]: Taking taylor expansion of y in x 7.528 * [backup-simplify]: Simplify y into y 7.529 * [backup-simplify]: Simplify (* 1 1) into 1 7.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.530 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.530 * [taylor]: Taking taylor expansion of y in y 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify 1 into 1 7.530 * [backup-simplify]: Simplify (* 1 1) into 1 7.530 * [backup-simplify]: Simplify 1 into 1 7.530 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 7.531 * [taylor]: Taking taylor expansion of 0 in y 7.531 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.534 * [taylor]: Taking taylor expansion of 0 in y 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.536 * [taylor]: Taking taylor expansion of 0 in y 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify (* 1 (pow (* y x) 2)) into (* (pow x 2) (pow y 2)) 7.537 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (/ 1 (* (pow x 2) (pow y 2))) 7.537 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 7.537 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.537 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.537 * [taylor]: Taking taylor expansion of x in y 7.537 * [backup-simplify]: Simplify x into x 7.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.537 * [taylor]: Taking taylor expansion of y in y 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.537 * [backup-simplify]: Simplify (* 1 1) into 1 7.538 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.538 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.538 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.538 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.538 * [taylor]: Taking taylor expansion of x in x 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.538 * [taylor]: Taking taylor expansion of y in x 7.538 * [backup-simplify]: Simplify y into y 7.538 * [backup-simplify]: Simplify (* 1 1) into 1 7.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.538 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.538 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.538 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.538 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.538 * [taylor]: Taking taylor expansion of x in x 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.538 * [taylor]: Taking taylor expansion of y in x 7.538 * [backup-simplify]: Simplify y into y 7.539 * [backup-simplify]: Simplify (* 1 1) into 1 7.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.539 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.539 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.539 * [taylor]: Taking taylor expansion of y in y 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 1 into 1 7.539 * [backup-simplify]: Simplify (* 1 1) into 1 7.540 * [backup-simplify]: Simplify (/ 1 1) into 1 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 7.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.541 * [taylor]: Taking taylor expansion of 0 in y 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.544 * [taylor]: Taking taylor expansion of 0 in y 7.544 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.548 * [taylor]: Taking taylor expansion of 0 in y 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.549 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.553 * [taylor]: Taking taylor expansion of 0 in y 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) into (* (pow x 2) (pow y 2)) 7.553 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 1 (* (pow x 2) (pow y 2))) 7.553 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 7.553 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.553 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.553 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.553 * [taylor]: Taking taylor expansion of x in y 7.553 * [backup-simplify]: Simplify x into x 7.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.553 * [taylor]: Taking taylor expansion of y in y 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.554 * [backup-simplify]: Simplify (* 1 1) into 1 7.554 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.554 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.554 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.554 * [taylor]: Taking taylor expansion of x in x 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.554 * [taylor]: Taking taylor expansion of y in x 7.554 * [backup-simplify]: Simplify y into y 7.554 * [backup-simplify]: Simplify (* 1 1) into 1 7.554 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.555 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.555 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.555 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.555 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.555 * [taylor]: Taking taylor expansion of x in x 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 1 into 1 7.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.555 * [taylor]: Taking taylor expansion of y in x 7.555 * [backup-simplify]: Simplify y into y 7.555 * [backup-simplify]: Simplify (* 1 1) into 1 7.555 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.555 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.555 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.555 * [taylor]: Taking taylor expansion of y in y 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (* 1 1) into 1 7.556 * [backup-simplify]: Simplify (/ 1 1) into 1 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.557 * [taylor]: Taking taylor expansion of 0 in y 7.557 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.558 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.560 * [taylor]: Taking taylor expansion of 0 in y 7.560 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.564 * [taylor]: Taking taylor expansion of 0 in y 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.570 * [taylor]: Taking taylor expansion of 0 in y 7.570 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) into (* (pow x 2) (pow y 2)) 7.571 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 7.571 * [backup-simplify]: Simplify (- (* (* y y) (* y y)) (* (* x x) (* y y))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 7.571 * [approximate]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in (y x) around 0 7.572 * [taylor]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in x 7.572 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.572 * [taylor]: Taking taylor expansion of y in x 7.572 * [backup-simplify]: Simplify y into y 7.572 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.572 * [taylor]: Taking taylor expansion of x in x 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.572 * [taylor]: Taking taylor expansion of y in x 7.572 * [backup-simplify]: Simplify y into y 7.572 * [taylor]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in y 7.572 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.572 * [taylor]: Taking taylor expansion of y in y 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.572 * [taylor]: Taking taylor expansion of x in y 7.572 * [backup-simplify]: Simplify x into x 7.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.572 * [taylor]: Taking taylor expansion of y in y 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [taylor]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in y 7.572 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.572 * [taylor]: Taking taylor expansion of y in y 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.572 * [taylor]: Taking taylor expansion of x in y 7.572 * [backup-simplify]: Simplify x into x 7.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.572 * [taylor]: Taking taylor expansion of y in y 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 1 into 1 7.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.573 * [backup-simplify]: Simplify (* 1 1) into 1 7.573 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.574 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 7.574 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 7.574 * [taylor]: Taking taylor expansion of (- (pow x 2)) in x 7.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.574 * [taylor]: Taking taylor expansion of x in x 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.575 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.576 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.576 * [backup-simplify]: Simplify (- 0) into 0 7.577 * [backup-simplify]: Simplify (+ 0 0) into 0 7.577 * [taylor]: Taking taylor expansion of 0 in x 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify (* 1 1) into 1 7.578 * [backup-simplify]: Simplify (* 1 1) into 1 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.579 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.580 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.580 * [backup-simplify]: Simplify (- 0) into 0 7.581 * [backup-simplify]: Simplify (+ 1 0) into 1 7.581 * [taylor]: Taking taylor expansion of 1 in x 7.581 * [backup-simplify]: Simplify 1 into 1 7.581 * [backup-simplify]: Simplify 1 into 1 7.581 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify (* 1 1) into 1 7.582 * [backup-simplify]: Simplify (- 1) into -1 7.582 * [backup-simplify]: Simplify -1 into -1 7.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.586 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.587 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.588 * [backup-simplify]: Simplify (- 0) into 0 7.588 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [taylor]: Taking taylor expansion of 0 in x 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.590 * [backup-simplify]: Simplify (- 0) into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.594 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.594 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.595 * [backup-simplify]: Simplify (- 0) into 0 7.595 * [backup-simplify]: Simplify (+ 0 0) into 0 7.595 * [taylor]: Taking taylor expansion of 0 in x 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify (+ (* -1 (pow (* x y) 2)) (* 1 (pow (* 1 y) 4))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 7.596 * [backup-simplify]: Simplify (- (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) 7.596 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in (y x) around 0 7.596 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.596 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.596 * [taylor]: Taking taylor expansion of y in x 7.596 * [backup-simplify]: Simplify y into y 7.596 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.596 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.596 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.596 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.596 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.596 * [taylor]: Taking taylor expansion of x in x 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 1 into 1 7.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.596 * [taylor]: Taking taylor expansion of y in x 7.596 * [backup-simplify]: Simplify y into y 7.597 * [backup-simplify]: Simplify (* 1 1) into 1 7.597 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.597 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.597 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.597 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.597 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.597 * [taylor]: Taking taylor expansion of y in y 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (* 1 1) into 1 7.597 * [backup-simplify]: Simplify (* 1 1) into 1 7.598 * [backup-simplify]: Simplify (/ 1 1) into 1 7.598 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.598 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.598 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.598 * [taylor]: Taking taylor expansion of x in y 7.598 * [backup-simplify]: Simplify x into x 7.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.598 * [taylor]: Taking taylor expansion of y in y 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.598 * [backup-simplify]: Simplify (* 1 1) into 1 7.598 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.598 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.598 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.599 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.599 * [taylor]: Taking taylor expansion of y in y 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (* 1 1) into 1 7.599 * [backup-simplify]: Simplify (* 1 1) into 1 7.599 * [backup-simplify]: Simplify (/ 1 1) into 1 7.599 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.599 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.599 * [taylor]: Taking taylor expansion of x in y 7.599 * [backup-simplify]: Simplify x into x 7.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.600 * [taylor]: Taking taylor expansion of y in y 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.600 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.600 * [backup-simplify]: Simplify (* 1 1) into 1 7.600 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.600 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.600 * [backup-simplify]: Simplify (+ 1 0) into 1 7.600 * [taylor]: Taking taylor expansion of 1 in x 7.600 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (+ 0 0) into 0 7.602 * [taylor]: Taking taylor expansion of 0 in x 7.602 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 7.604 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 7.604 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 7.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.604 * [taylor]: Taking taylor expansion of x in x 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 1 into 1 7.605 * [backup-simplify]: Simplify (* 1 1) into 1 7.605 * [backup-simplify]: Simplify (/ 1 1) into 1 7.605 * [backup-simplify]: Simplify (- 1) into -1 7.605 * [backup-simplify]: Simplify -1 into -1 7.605 * [backup-simplify]: Simplify 1 into 1 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.608 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.608 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.609 * [backup-simplify]: Simplify (- 0) into 0 7.609 * [backup-simplify]: Simplify (+ 0 0) into 0 7.609 * [taylor]: Taking taylor expansion of 0 in x 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.610 * [backup-simplify]: Simplify (- 0) into 0 7.610 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.613 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.614 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 7.614 * [backup-simplify]: Simplify (- 0) into 0 7.615 * [backup-simplify]: Simplify (+ 0 0) into 0 7.615 * [taylor]: Taking taylor expansion of 0 in x 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.616 * [backup-simplify]: Simplify (- 0) into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (* -1 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 7.617 * [backup-simplify]: Simplify (- (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) 7.617 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in (y x) around 0 7.617 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.617 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.617 * [taylor]: Taking taylor expansion of y in x 7.617 * [backup-simplify]: Simplify y into y 7.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.617 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.617 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.617 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.617 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.617 * [taylor]: Taking taylor expansion of x in x 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify 1 into 1 7.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.618 * [taylor]: Taking taylor expansion of y in x 7.618 * [backup-simplify]: Simplify y into y 7.618 * [backup-simplify]: Simplify (* 1 1) into 1 7.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.618 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.618 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.618 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.618 * [taylor]: Taking taylor expansion of y in y 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.619 * [backup-simplify]: Simplify (* 1 1) into 1 7.619 * [backup-simplify]: Simplify (* 1 1) into 1 7.619 * [backup-simplify]: Simplify (/ 1 1) into 1 7.619 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.619 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.619 * [taylor]: Taking taylor expansion of x in y 7.619 * [backup-simplify]: Simplify x into x 7.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.619 * [taylor]: Taking taylor expansion of y in y 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 1 into 1 7.619 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.620 * [backup-simplify]: Simplify (* 1 1) into 1 7.620 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.620 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.620 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.620 * [taylor]: Taking taylor expansion of y in y 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [backup-simplify]: Simplify (* 1 1) into 1 7.621 * [backup-simplify]: Simplify (* 1 1) into 1 7.621 * [backup-simplify]: Simplify (/ 1 1) into 1 7.621 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.621 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.621 * [taylor]: Taking taylor expansion of x in y 7.621 * [backup-simplify]: Simplify x into x 7.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.621 * [taylor]: Taking taylor expansion of y in y 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.622 * [backup-simplify]: Simplify (* 1 1) into 1 7.622 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.622 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.622 * [backup-simplify]: Simplify (+ 1 0) into 1 7.622 * [taylor]: Taking taylor expansion of 1 in x 7.622 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.624 * [backup-simplify]: Simplify (+ 0 0) into 0 7.624 * [taylor]: Taking taylor expansion of 0 in x 7.624 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.626 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 7.626 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 7.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 7.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.626 * [taylor]: Taking taylor expansion of x in x 7.626 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify 1 into 1 7.626 * [backup-simplify]: Simplify (* 1 1) into 1 7.627 * [backup-simplify]: Simplify (/ 1 1) into 1 7.627 * [backup-simplify]: Simplify (- 1) into -1 7.627 * [backup-simplify]: Simplify -1 into -1 7.627 * [backup-simplify]: Simplify 1 into 1 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.629 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.630 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.630 * [backup-simplify]: Simplify (- 0) into 0 7.631 * [backup-simplify]: Simplify (+ 0 0) into 0 7.631 * [taylor]: Taking taylor expansion of 0 in x 7.631 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (- 0) into 0 7.632 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify 0 into 0 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.635 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.636 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 7.636 * [backup-simplify]: Simplify (- 0) into 0 7.636 * [backup-simplify]: Simplify (+ 0 0) into 0 7.636 * [taylor]: Taking taylor expansion of 0 in x 7.636 * [backup-simplify]: Simplify 0 into 0 7.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.638 * [backup-simplify]: Simplify (- 0) into 0 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 7.639 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.639 * [backup-simplify]: Simplify (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 7.639 * [approximate]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in (x y) around 0 7.639 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 7.639 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 7.639 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.639 * [taylor]: Taking taylor expansion of y in y 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.639 * [taylor]: Taking taylor expansion of x in y 7.639 * [backup-simplify]: Simplify x into x 7.639 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.639 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.639 * [taylor]: Taking taylor expansion of x in y 7.639 * [backup-simplify]: Simplify x into x 7.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.639 * [taylor]: Taking taylor expansion of y in y 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 7.639 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 7.639 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.639 * [taylor]: Taking taylor expansion of y in x 7.639 * [backup-simplify]: Simplify y into y 7.639 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.639 * [taylor]: Taking taylor expansion of x in x 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.639 * [taylor]: Taking taylor expansion of x in x 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.639 * [taylor]: Taking taylor expansion of y in x 7.639 * [backup-simplify]: Simplify y into y 7.639 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 7.639 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 7.639 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.639 * [taylor]: Taking taylor expansion of y in x 7.640 * [backup-simplify]: Simplify y into y 7.640 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.640 * [taylor]: Taking taylor expansion of y in x 7.640 * [backup-simplify]: Simplify y into y 7.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.640 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.640 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 7.640 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 7.640 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.640 * [taylor]: Taking taylor expansion of y in y 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.640 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 7.641 * [backup-simplify]: Simplify (+ 0 0) into 0 7.641 * [backup-simplify]: Simplify (+ 0 0) into 0 7.641 * [taylor]: Taking taylor expansion of 0 in y 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.642 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.642 * [backup-simplify]: Simplify (+ 0 0) into 0 7.643 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.643 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.643 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.643 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.643 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 7.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.643 * [taylor]: Taking taylor expansion of y in y 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.644 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.646 * [backup-simplify]: Simplify (+ 0 0) into 0 7.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 7.648 * [backup-simplify]: Simplify (- 0) into 0 7.648 * [backup-simplify]: Simplify (+ 0 0) into 0 7.648 * [taylor]: Taking taylor expansion of 0 in y 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.650 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.650 * [backup-simplify]: Simplify (* 1 1) into 1 7.650 * [backup-simplify]: Simplify (* 1 1) into 1 7.651 * [backup-simplify]: Simplify (+ 0 1) into 1 7.651 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.653 * [backup-simplify]: Simplify (- 0) into 0 7.654 * [backup-simplify]: Simplify (+ 1 0) into 1 7.654 * [taylor]: Taking taylor expansion of 1 in y 7.654 * [backup-simplify]: Simplify 1 into 1 7.654 * [backup-simplify]: Simplify 1 into 1 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify (* 1 1) into 1 7.655 * [backup-simplify]: Simplify (- 1) into -1 7.655 * [backup-simplify]: Simplify -1 into -1 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify (* 1 1) into 1 7.656 * [backup-simplify]: Simplify (* 1 1) into 1 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 4)) (+ (* -1 (pow (* y x) 2)) (* 1 (pow (* 1 x) 4)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 7.657 * [backup-simplify]: Simplify (+ (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (- (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) 7.657 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in (x y) around 0 7.657 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 7.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.657 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.657 * [taylor]: Taking taylor expansion of y in y 7.657 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.658 * [backup-simplify]: Simplify (* 1 1) into 1 7.659 * [backup-simplify]: Simplify (* 1 1) into 1 7.659 * [backup-simplify]: Simplify (/ 1 1) into 1 7.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.659 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.659 * [taylor]: Taking taylor expansion of x in y 7.659 * [backup-simplify]: Simplify x into x 7.659 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.659 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.660 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.660 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.660 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.660 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.660 * [taylor]: Taking taylor expansion of x in y 7.660 * [backup-simplify]: Simplify x into x 7.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.660 * [taylor]: Taking taylor expansion of y in y 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.660 * [backup-simplify]: Simplify (* 1 1) into 1 7.661 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.661 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.661 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 7.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.661 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.661 * [taylor]: Taking taylor expansion of y in x 7.661 * [backup-simplify]: Simplify y into y 7.661 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.661 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.661 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.661 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.661 * [taylor]: Taking taylor expansion of x in x 7.661 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify 1 into 1 7.662 * [backup-simplify]: Simplify (* 1 1) into 1 7.662 * [backup-simplify]: Simplify (* 1 1) into 1 7.663 * [backup-simplify]: Simplify (/ 1 1) into 1 7.663 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.663 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.663 * [taylor]: Taking taylor expansion of x in x 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.663 * [taylor]: Taking taylor expansion of y in x 7.663 * [backup-simplify]: Simplify y into y 7.664 * [backup-simplify]: Simplify (* 1 1) into 1 7.664 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.664 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.664 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.664 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 7.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.664 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.664 * [taylor]: Taking taylor expansion of y in x 7.664 * [backup-simplify]: Simplify y into y 7.664 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.664 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.665 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.665 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.665 * [taylor]: Taking taylor expansion of x in x 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify (* 1 1) into 1 7.666 * [backup-simplify]: Simplify (* 1 1) into 1 7.666 * [backup-simplify]: Simplify (/ 1 1) into 1 7.666 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.666 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.666 * [taylor]: Taking taylor expansion of x in x 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.666 * [taylor]: Taking taylor expansion of y in x 7.666 * [backup-simplify]: Simplify y into y 7.667 * [backup-simplify]: Simplify (* 1 1) into 1 7.667 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.667 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.667 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.668 * [backup-simplify]: Simplify (+ 0 1) into 1 7.668 * [backup-simplify]: Simplify (+ 1 0) into 1 7.668 * [taylor]: Taking taylor expansion of 1 in y 7.668 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ 0 0) into 0 7.672 * [backup-simplify]: Simplify (+ 0 0) into 0 7.672 * [taylor]: Taking taylor expansion of 0 in y 7.672 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (+ 0 0) into 0 7.675 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.676 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.676 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.676 * [taylor]: Taking taylor expansion of y in y 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [backup-simplify]: Simplify (* 1 1) into 1 7.677 * [backup-simplify]: Simplify (/ 1 1) into 1 7.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.681 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 7.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.683 * [backup-simplify]: Simplify (- 0) into 0 7.683 * [backup-simplify]: Simplify (+ 0 0) into 0 7.683 * [taylor]: Taking taylor expansion of 0 in y 7.683 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.688 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 7.688 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.692 * [backup-simplify]: Simplify (- 0) into 0 7.692 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 7.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.692 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.692 * [taylor]: Taking taylor expansion of y in y 7.692 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify 1 into 1 7.692 * [backup-simplify]: Simplify (* 1 1) into 1 7.693 * [backup-simplify]: Simplify (* 1 1) into 1 7.693 * [backup-simplify]: Simplify (/ 1 1) into 1 7.693 * [backup-simplify]: Simplify 1 into 1 7.693 * [backup-simplify]: Simplify (- 1) into -1 7.693 * [backup-simplify]: Simplify -1 into -1 7.693 * [backup-simplify]: Simplify 1 into 1 7.694 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (+ (* -1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 4)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 7.694 * [backup-simplify]: Simplify (+ (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (- (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) 7.694 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in (x y) around 0 7.694 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 7.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 7.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.695 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.695 * [taylor]: Taking taylor expansion of y in y 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (* 1 1) into 1 7.695 * [backup-simplify]: Simplify (* 1 1) into 1 7.696 * [backup-simplify]: Simplify (/ 1 1) into 1 7.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.696 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.696 * [taylor]: Taking taylor expansion of x in y 7.696 * [backup-simplify]: Simplify x into x 7.696 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.696 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.696 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.696 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 7.696 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 7.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.696 * [taylor]: Taking taylor expansion of x in y 7.696 * [backup-simplify]: Simplify x into x 7.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.696 * [taylor]: Taking taylor expansion of y in y 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.696 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.696 * [backup-simplify]: Simplify (* 1 1) into 1 7.697 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.697 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.697 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 7.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.697 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.697 * [taylor]: Taking taylor expansion of y in x 7.697 * [backup-simplify]: Simplify y into y 7.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.697 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.697 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.697 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.697 * [taylor]: Taking taylor expansion of x in x 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (* 1 1) into 1 7.698 * [backup-simplify]: Simplify (* 1 1) into 1 7.698 * [backup-simplify]: Simplify (/ 1 1) into 1 7.698 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.698 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.698 * [taylor]: Taking taylor expansion of x in x 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.698 * [taylor]: Taking taylor expansion of y in x 7.698 * [backup-simplify]: Simplify y into y 7.698 * [backup-simplify]: Simplify (* 1 1) into 1 7.698 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.699 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.699 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.699 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 7.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 7.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 7.699 * [taylor]: Taking taylor expansion of (pow y 4) in x 7.699 * [taylor]: Taking taylor expansion of y in x 7.699 * [backup-simplify]: Simplify y into y 7.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.699 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 7.699 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 7.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.699 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.699 * [taylor]: Taking taylor expansion of x in x 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (* 1 1) into 1 7.700 * [backup-simplify]: Simplify (* 1 1) into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 7.700 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 7.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.700 * [taylor]: Taking taylor expansion of x in x 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.700 * [taylor]: Taking taylor expansion of y in x 7.700 * [backup-simplify]: Simplify y into y 7.700 * [backup-simplify]: Simplify (* 1 1) into 1 7.700 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.701 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 7.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.701 * [backup-simplify]: Simplify (+ 0 1) into 1 7.701 * [backup-simplify]: Simplify (+ 1 0) into 1 7.701 * [taylor]: Taking taylor expansion of 1 in y 7.701 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [taylor]: Taking taylor expansion of 0 in y 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.706 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.706 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.707 * [taylor]: Taking taylor expansion of y in y 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (* 1 1) into 1 7.707 * [backup-simplify]: Simplify (/ 1 1) into 1 7.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.710 * [backup-simplify]: Simplify (+ 0 0) into 0 7.710 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 7.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.711 * [backup-simplify]: Simplify (- 0) into 0 7.711 * [backup-simplify]: Simplify (+ 0 0) into 0 7.711 * [taylor]: Taking taylor expansion of 0 in y 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.714 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 7.714 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.716 * [backup-simplify]: Simplify (- 0) into 0 7.717 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 7.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.717 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.717 * [taylor]: Taking taylor expansion of y in y 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 1 into 1 7.717 * [backup-simplify]: Simplify (* 1 1) into 1 7.717 * [backup-simplify]: Simplify (* 1 1) into 1 7.718 * [backup-simplify]: Simplify (/ 1 1) into 1 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify (- 1) into -1 7.718 * [backup-simplify]: Simplify -1 into -1 7.718 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 4)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 7.719 * * * [progress]: simplifying candidates 7.720 * [simplify]: Simplifying: (- (log (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (log (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (log (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (exp (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (/ (* (* (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (* (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (cbrt (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (cbrt (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (* (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (/ (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (- (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (- (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (* (cbrt (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (cbrt (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))))) (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (/ (cbrt (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (/ (* (cbrt (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (cbrt (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (/ (cbrt (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y 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y) y) (* (* x x) y)))) (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* (* y (- (* (* y y) y) (* (* x x) y))) (* (* x x) (* x x)))) (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* y (- (* (* y y) y) (* (* x x) y))) (* y (- (* (* y y) y) (* (* x x) y))))) (+ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (* y x) (* y x))) (+ (* (* y y) (* y y)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* x x) (* x x))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* (* y x) (* y x)) (* (* y x) (* y x)) (* (* y x) (* y x)) (* (+ (* y y) (* x y)) (- (* y y) (* x y))) (* (+ (* y y) (* x y)) (- (* y y) (* x y))) (* (+ (* y y) (* x y)) (- (* y y) (* x y))) (+ (* (- (* x x) (* y y)) (* x x)) (* (* y y) (* y y))) (+ (* (- (* x x) (* y y)) (* x x)) (* (* y y) (* y y))) (+ (* (- (* x x) (* y y)) (* x x)) (* (* y y) (* y y))) 13.006 * * * [progress]: adding candidates to table 13.483 * [progress]: [Phase 3 of 3] Extracting. 13.483 * * [regime]: Finding splitpoints for: (# # #) 13.484 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 13.484 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 13.516 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 13.549 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 13.587 * * * * [regimes]: Trying to branch on y from (# # #) 13.621 * * * * [regimes]: Trying to branch on x from (# # #) 13.659 * * * [regime]: Found split indices: #