53.499 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: Extracting # 1 : cost 0 0.032 * * [simplify]: Extracting # 2 : cost 0 0.032 * * [simplify]: Extracting # 3 : cost 0 0.032 * * [simplify]: Extracting # 4 : cost 0 0.032 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: iteration done: 6 enodes (cost 7 ) 0.034 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.051 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [backup-simplify]: Simplify x into x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.052 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.054 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (* 1 1) into 1 0.054 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.058 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.058 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.061 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.070 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.071 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.071 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.072 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 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 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.082 * * * [progress]: simplifying candidates 0.083 * [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 x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: Extracting # 1 : cost 0 0.083 * * [simplify]: Extracting # 2 : cost 0 0.083 * * [simplify]: Extracting # 3 : cost 0 0.083 * * [simplify]: Extracting # 4 : cost 0 0.083 * * [simplify]: Extracting # 5 : cost 0 0.083 * * [simplify]: Extracting # 6 : cost 0 0.083 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: iteration 1 : 118 enodes (cost 161 ) 0.177 * * [simplify]: Extracting # 0 : cost 0 0.178 * * [simplify]: Extracting # 1 : cost 0 0.180 * * [simplify]: Extracting # 2 : cost 0 0.181 * * [simplify]: Extracting # 3 : cost 0 0.181 * * [simplify]: Extracting # 4 : cost 0 0.182 * * [simplify]: iteration 2 : 674 enodes (cost 131 ) 0.550 * * [simplify]: Extracting # 0 : cost 0 0.555 * * [simplify]: Extracting # 1 : cost 0 0.565 * * [simplify]: Extracting # 2 : cost 0 0.577 * * [simplify]: Extracting # 3 : cost 0 0.593 * * [simplify]: Extracting # 4 : cost 0 0.605 * * [simplify]: iteration done: 5000 enodes (cost 131 ) 0.605 * [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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.605 * * * [progress]: adding candidates to table 0.641 * * [progress]: iteration 2 / 4 0.641 * * * [progress]: picking best candidate 0.644 * * * * [pick]: Picked # 0.644 * * * [progress]: localizing error 0.660 * * * [progress]: generating rewritten candidates 0.660 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.679 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.684 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.746 * * * [progress]: generating series expansions 0.746 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.747 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 0.747 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.747 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.747 * [taylor]: Taking taylor expansion of 1/3 in y 0.747 * [backup-simplify]: Simplify 1/3 into 1/3 0.747 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.747 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [backup-simplify]: Simplify x into x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.747 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.747 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.747 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 0.748 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 0.748 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.748 * [taylor]: Taking taylor expansion of 1/3 in x 0.748 * [backup-simplify]: Simplify 1/3 into 1/3 0.748 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.748 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [backup-simplify]: Simplify y into y 0.748 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.748 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.748 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.748 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.749 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.749 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.749 * [taylor]: Taking taylor expansion of 1/3 in x 0.749 * [backup-simplify]: Simplify 1/3 into 1/3 0.749 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.749 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [backup-simplify]: Simplify y into y 0.749 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.749 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.749 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.749 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.749 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.750 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.750 * [taylor]: Taking taylor expansion of 1/3 in y 0.750 * [backup-simplify]: Simplify 1/3 into 1/3 0.750 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.751 * [backup-simplify]: Simplify (log 1) into 0 0.751 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.751 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 0.751 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 0.751 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 0.752 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 0.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.756 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.757 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 0.757 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.758 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.758 * [backup-simplify]: Simplify (+ 1 0) into 1 0.759 * [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)) 0.760 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 0.761 * [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)) 0.761 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.761 * [taylor]: Taking taylor expansion of 1/3 in y 0.761 * [backup-simplify]: Simplify 1/3 into 1/3 0.761 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.761 * [taylor]: Taking taylor expansion of 1/3 in y 0.761 * [backup-simplify]: Simplify 1/3 into 1/3 0.761 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.761 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.762 * [backup-simplify]: Simplify (log 1) into 0 0.762 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.762 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.762 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.762 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.762 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.763 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.770 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 0.772 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [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 0.776 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 0.777 * [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 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.780 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.780 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 0.780 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.784 * [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 0.784 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.785 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 0.786 * [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 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [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)))) 0.787 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.787 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.787 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.787 * [taylor]: Taking taylor expansion of 1/3 in y 0.787 * [backup-simplify]: Simplify 1/3 into 1/3 0.787 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [backup-simplify]: Simplify x into x 0.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.787 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [backup-simplify]: Simplify (+ 0 1) into 1 0.788 * [backup-simplify]: Simplify (log 1) into 0 0.788 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.788 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.789 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.789 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.789 * [taylor]: Taking taylor expansion of 1/3 in x 0.789 * [backup-simplify]: Simplify 1/3 into 1/3 0.789 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (* 1 1) into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [backup-simplify]: Simplify y into y 0.789 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.789 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.790 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify (log 1) into 0 0.790 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.790 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.790 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.790 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.790 * [taylor]: Taking taylor expansion of 1/3 in x 0.791 * [backup-simplify]: Simplify 1/3 into 1/3 0.791 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [backup-simplify]: Simplify y into y 0.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.791 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.792 * [backup-simplify]: Simplify (+ 1 0) into 1 0.792 * [backup-simplify]: Simplify (log 1) into 0 0.792 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.792 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.792 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.792 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.792 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.792 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.792 * [taylor]: Taking taylor expansion of -2/3 in y 0.792 * [backup-simplify]: Simplify -2/3 into -2/3 0.792 * [taylor]: Taking taylor expansion of (log x) in y 0.792 * [taylor]: Taking taylor expansion of x in y 0.792 * [backup-simplify]: Simplify x into x 0.792 * [backup-simplify]: Simplify (log x) into (log x) 0.793 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.793 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.793 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.795 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.796 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.796 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.798 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.798 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.802 * [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)) 0.802 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.803 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.804 * [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)))) 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.804 * [taylor]: Taking taylor expansion of 1/3 in y 0.804 * [backup-simplify]: Simplify 1/3 into 1/3 0.804 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.804 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.804 * [taylor]: Taking taylor expansion of 1/3 in y 0.804 * [backup-simplify]: Simplify 1/3 into 1/3 0.804 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.804 * [taylor]: Taking taylor expansion of x in y 0.804 * [backup-simplify]: Simplify x into x 0.804 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.804 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.804 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.805 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.805 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.809 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.811 * [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 0.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.812 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.813 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.816 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.817 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [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 0.821 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.823 * [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 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 0.823 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.823 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.823 * [taylor]: Taking taylor expansion of 1/3 in y 0.823 * [backup-simplify]: Simplify 1/3 into 1/3 0.823 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [backup-simplify]: Simplify x into x 0.823 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.823 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (* 1 1) into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [backup-simplify]: Simplify (+ 0 1) into 1 0.824 * [backup-simplify]: Simplify (log 1) into 0 0.825 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.825 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.825 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.825 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.825 * [taylor]: Taking taylor expansion of 1/3 in x 0.825 * [backup-simplify]: Simplify 1/3 into 1/3 0.825 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [backup-simplify]: Simplify y into y 0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.826 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.826 * [backup-simplify]: Simplify (log 1) into 0 0.827 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.827 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.827 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.827 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.827 * [taylor]: Taking taylor expansion of 1/3 in x 0.827 * [backup-simplify]: Simplify 1/3 into 1/3 0.827 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [backup-simplify]: Simplify y into y 0.828 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.828 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.828 * [backup-simplify]: Simplify (log 1) into 0 0.828 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.828 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.829 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.829 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.829 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.829 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.829 * [taylor]: Taking taylor expansion of -2/3 in y 0.829 * [backup-simplify]: Simplify -2/3 into -2/3 0.829 * [taylor]: Taking taylor expansion of (log x) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [backup-simplify]: Simplify x into x 0.829 * [backup-simplify]: Simplify (log x) into (log x) 0.829 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.829 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.829 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.831 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.832 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.833 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.833 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.836 * [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)) 0.836 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.836 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.837 * [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)))) 0.837 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.837 * [taylor]: Taking taylor expansion of 1/3 in y 0.837 * [backup-simplify]: Simplify 1/3 into 1/3 0.837 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.837 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.837 * [taylor]: Taking taylor expansion of 1/3 in y 0.837 * [backup-simplify]: Simplify 1/3 into 1/3 0.837 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [backup-simplify]: Simplify x into x 0.837 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.837 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.837 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.838 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.838 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (* 1 1) into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.842 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.844 * [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 0.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.845 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.846 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.849 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.849 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [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 0.854 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.856 * [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 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 0.856 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.856 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 0.856 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.856 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.856 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.856 * [taylor]: Taking taylor expansion of 1/3 in y 0.856 * [backup-simplify]: Simplify 1/3 into 1/3 0.856 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.856 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [backup-simplify]: Simplify x into x 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.856 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.856 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.857 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 0.857 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 0.857 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.857 * [taylor]: Taking taylor expansion of 1/3 in x 0.857 * [backup-simplify]: Simplify 1/3 into 1/3 0.857 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [backup-simplify]: Simplify y into y 0.857 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.857 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.857 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.857 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.857 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.857 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.857 * [taylor]: Taking taylor expansion of 1/3 in x 0.857 * [backup-simplify]: Simplify 1/3 into 1/3 0.857 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.857 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [backup-simplify]: Simplify y into y 0.858 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.858 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.858 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.858 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.858 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.858 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.858 * [taylor]: Taking taylor expansion of 1/3 in y 0.858 * [backup-simplify]: Simplify 1/3 into 1/3 0.858 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (* 1 1) into 1 0.859 * [backup-simplify]: Simplify (log 1) into 0 0.859 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.859 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 0.859 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 0.859 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 0.859 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 0.861 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.862 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 0.863 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.869 * [backup-simplify]: Simplify (+ 1 0) into 1 0.870 * [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)) 0.870 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 0.871 * [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)) 0.871 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.871 * [taylor]: Taking taylor expansion of 1/3 in y 0.871 * [backup-simplify]: Simplify 1/3 into 1/3 0.871 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.871 * [taylor]: Taking taylor expansion of 1/3 in y 0.871 * [backup-simplify]: Simplify 1/3 into 1/3 0.871 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [backup-simplify]: Simplify (log 1) into 0 0.872 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.873 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.873 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.873 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.873 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.875 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.875 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.876 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 0.877 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [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 0.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 0.882 * [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 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.884 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.884 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 0.885 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.888 * [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 0.889 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.889 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 0.890 * [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 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [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)))) 0.891 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.891 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.891 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.891 * [taylor]: Taking taylor expansion of 1/3 in y 0.891 * [backup-simplify]: Simplify 1/3 into 1/3 0.891 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [backup-simplify]: Simplify x into x 0.891 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.891 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [backup-simplify]: Simplify (+ 0 1) into 1 0.892 * [backup-simplify]: Simplify (log 1) into 0 0.893 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.893 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.893 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.893 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.893 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.893 * [taylor]: Taking taylor expansion of 1/3 in x 0.893 * [backup-simplify]: Simplify 1/3 into 1/3 0.893 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [backup-simplify]: Simplify y into y 0.894 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.894 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.894 * [backup-simplify]: Simplify (+ 1 0) into 1 0.894 * [backup-simplify]: Simplify (log 1) into 0 0.895 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.895 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.895 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.895 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.895 * [taylor]: Taking taylor expansion of 1/3 in x 0.895 * [backup-simplify]: Simplify 1/3 into 1/3 0.895 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [backup-simplify]: Simplify y into y 0.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.896 * [backup-simplify]: Simplify (+ 1 0) into 1 0.896 * [backup-simplify]: Simplify (log 1) into 0 0.896 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.896 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.897 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.897 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.897 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.897 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.897 * [taylor]: Taking taylor expansion of -2/3 in y 0.897 * [backup-simplify]: Simplify -2/3 into -2/3 0.897 * [taylor]: Taking taylor expansion of (log x) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [backup-simplify]: Simplify x into x 0.897 * [backup-simplify]: Simplify (log x) into (log x) 0.897 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.897 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.897 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.899 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.900 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.901 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.901 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.904 * [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)) 0.904 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.905 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.905 * [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)))) 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.905 * [taylor]: Taking taylor expansion of 1/3 in y 0.905 * [backup-simplify]: Simplify 1/3 into 1/3 0.905 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.905 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.905 * [taylor]: Taking taylor expansion of 1/3 in y 0.905 * [backup-simplify]: Simplify 1/3 into 1/3 0.905 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [backup-simplify]: Simplify x into x 0.906 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.906 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.906 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.906 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.906 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.910 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.912 * [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 0.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.913 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.914 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.915 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.915 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.917 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.918 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [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 0.922 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.924 * [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 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 0.924 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.924 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.924 * [taylor]: Taking taylor expansion of 1/3 in y 0.924 * [backup-simplify]: Simplify 1/3 into 1/3 0.924 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [backup-simplify]: Simplify x into x 0.924 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.924 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (* 1 1) into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.925 * [backup-simplify]: Simplify (+ 0 1) into 1 0.925 * [backup-simplify]: Simplify (log 1) into 0 0.926 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.926 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.926 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.926 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.926 * [taylor]: Taking taylor expansion of 1/3 in x 0.926 * [backup-simplify]: Simplify 1/3 into 1/3 0.926 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.927 * [backup-simplify]: Simplify (/ 1 1) into 1 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.927 * [taylor]: Taking taylor expansion of y in x 0.927 * [backup-simplify]: Simplify y into y 0.927 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.927 * [backup-simplify]: Simplify (+ 1 0) into 1 0.927 * [backup-simplify]: Simplify (log 1) into 0 0.928 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.928 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.928 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.928 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.928 * [taylor]: Taking taylor expansion of 1/3 in x 0.928 * [backup-simplify]: Simplify 1/3 into 1/3 0.928 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify (/ 1 1) into 1 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.929 * [backup-simplify]: Simplify y into y 0.929 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.929 * [backup-simplify]: Simplify (+ 1 0) into 1 0.929 * [backup-simplify]: Simplify (log 1) into 0 0.929 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.930 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.930 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.930 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.930 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.930 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.930 * [taylor]: Taking taylor expansion of -2/3 in y 0.930 * [backup-simplify]: Simplify -2/3 into -2/3 0.930 * [taylor]: Taking taylor expansion of (log x) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [backup-simplify]: Simplify x into x 0.930 * [backup-simplify]: Simplify (log x) into (log x) 0.930 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.930 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.930 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.932 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.932 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.933 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.934 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.934 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.938 * [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)) 0.938 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.939 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.940 * [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)))) 0.940 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.940 * [taylor]: Taking taylor expansion of 1/3 in y 0.940 * [backup-simplify]: Simplify 1/3 into 1/3 0.940 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.940 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.940 * [taylor]: Taking taylor expansion of 1/3 in y 0.940 * [backup-simplify]: Simplify 1/3 into 1/3 0.940 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [backup-simplify]: Simplify x into x 0.940 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.940 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.940 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.940 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.941 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (* 1 1) into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.946 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.947 * [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 0.948 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.950 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.950 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.951 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.952 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.953 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [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 0.959 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.961 * [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 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 0.961 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.962 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 0.962 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.962 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.962 * [taylor]: Taking taylor expansion of 1/3 in y 0.962 * [backup-simplify]: Simplify 1/3 into 1/3 0.962 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.962 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.962 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.962 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.963 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 0.963 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 0.963 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.963 * [taylor]: Taking taylor expansion of 1/3 in x 0.963 * [backup-simplify]: Simplify 1/3 into 1/3 0.963 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.963 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.963 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.963 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.964 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.964 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.964 * [taylor]: Taking taylor expansion of 1/3 in x 0.964 * [backup-simplify]: Simplify 1/3 into 1/3 0.964 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.964 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [backup-simplify]: Simplify y into y 0.964 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.964 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.964 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.964 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.964 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.964 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.964 * [taylor]: Taking taylor expansion of 1/3 in y 0.964 * [backup-simplify]: Simplify 1/3 into 1/3 0.964 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (* 1 1) into 1 0.965 * [backup-simplify]: Simplify (log 1) into 0 0.965 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.965 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 0.965 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 0.965 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 0.966 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 0.972 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.973 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 0.974 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (* 1 1) into 1 0.975 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.975 * [backup-simplify]: Simplify (+ 1 0) into 1 0.976 * [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)) 0.977 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 0.977 * [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)) 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.977 * [taylor]: Taking taylor expansion of 1/3 in y 0.977 * [backup-simplify]: Simplify 1/3 into 1/3 0.977 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.977 * [taylor]: Taking taylor expansion of 1/3 in y 0.977 * [backup-simplify]: Simplify 1/3 into 1/3 0.977 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.977 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.978 * [backup-simplify]: Simplify (/ 1 1) into 1 0.978 * [backup-simplify]: Simplify (log 1) into 0 0.979 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.979 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.979 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.979 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.979 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.979 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.981 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.982 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 0.983 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [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 0.986 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 0.988 * [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 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.990 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 0.991 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.995 * [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 0.995 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.996 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 0.997 * [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 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [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)))) 0.997 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.997 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.997 * [taylor]: Taking taylor expansion of 1/3 in y 0.997 * [backup-simplify]: Simplify 1/3 into 1/3 0.997 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.998 * [backup-simplify]: Simplify x into x 0.998 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.998 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (* 1 1) into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [backup-simplify]: Simplify (+ 0 1) into 1 0.999 * [backup-simplify]: Simplify (log 1) into 0 0.999 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.999 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.999 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.999 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.999 * [taylor]: Taking taylor expansion of 1/3 in x 0.999 * [backup-simplify]: Simplify 1/3 into 1/3 0.999 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.000 * [backup-simplify]: Simplify y into y 1.000 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.000 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.000 * [backup-simplify]: Simplify (+ 1 0) into 1 1.001 * [backup-simplify]: Simplify (log 1) into 0 1.001 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.001 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.001 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.001 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.001 * [taylor]: Taking taylor expansion of 1/3 in x 1.001 * [backup-simplify]: Simplify 1/3 into 1/3 1.001 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (* 1 1) into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [backup-simplify]: Simplify y into y 1.002 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.002 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.002 * [backup-simplify]: Simplify (+ 1 0) into 1 1.002 * [backup-simplify]: Simplify (log 1) into 0 1.003 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.003 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.003 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.003 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.003 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.003 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.003 * [taylor]: Taking taylor expansion of -2/3 in y 1.003 * [backup-simplify]: Simplify -2/3 into -2/3 1.003 * [taylor]: Taking taylor expansion of (log x) in y 1.003 * [taylor]: Taking taylor expansion of x in y 1.003 * [backup-simplify]: Simplify x into x 1.003 * [backup-simplify]: Simplify (log x) into (log x) 1.003 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.003 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.003 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.006 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.006 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.007 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.008 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.010 * [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)) 1.011 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.011 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.012 * [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)))) 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.012 * [taylor]: Taking taylor expansion of 1/3 in y 1.012 * [backup-simplify]: Simplify 1/3 into 1/3 1.012 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.012 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.012 * [taylor]: Taking taylor expansion of 1/3 in y 1.012 * [backup-simplify]: Simplify 1/3 into 1/3 1.012 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [backup-simplify]: Simplify x into x 1.012 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.012 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.012 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.012 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.012 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.013 * [backup-simplify]: Simplify (* 1 1) into 1 1.013 * [backup-simplify]: Simplify (/ 1 1) into 1 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.015 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.018 * [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 1.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.021 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.021 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.023 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.024 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [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 1.028 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.030 * [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 1.030 * [taylor]: Taking taylor expansion of 0 in y 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.030 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.030 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.030 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.030 * [taylor]: Taking taylor expansion of 1/3 in y 1.030 * [backup-simplify]: Simplify 1/3 into 1/3 1.030 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.031 * [taylor]: Taking taylor expansion of x in y 1.031 * [backup-simplify]: Simplify x into x 1.031 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.031 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (* 1 1) into 1 1.031 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [backup-simplify]: Simplify (+ 0 1) into 1 1.032 * [backup-simplify]: Simplify (log 1) into 0 1.032 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.032 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.032 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.032 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.032 * [taylor]: Taking taylor expansion of 1/3 in x 1.032 * [backup-simplify]: Simplify 1/3 into 1/3 1.032 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [backup-simplify]: Simplify y into y 1.033 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.033 * [backup-simplify]: Simplify (+ 1 0) into 1 1.034 * [backup-simplify]: Simplify (log 1) into 0 1.034 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.034 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.034 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.034 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.034 * [taylor]: Taking taylor expansion of 1/3 in x 1.034 * [backup-simplify]: Simplify 1/3 into 1/3 1.034 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (* 1 1) into 1 1.035 * [backup-simplify]: Simplify (/ 1 1) into 1 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.035 * [taylor]: Taking taylor expansion of y in x 1.035 * [backup-simplify]: Simplify y into y 1.035 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.036 * [backup-simplify]: Simplify (+ 1 0) into 1 1.036 * [backup-simplify]: Simplify (log 1) into 0 1.036 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.036 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.036 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.037 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.037 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.037 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.037 * [taylor]: Taking taylor expansion of -2/3 in y 1.037 * [backup-simplify]: Simplify -2/3 into -2/3 1.037 * [taylor]: Taking taylor expansion of (log x) in y 1.037 * [taylor]: Taking taylor expansion of x in y 1.037 * [backup-simplify]: Simplify x into x 1.037 * [backup-simplify]: Simplify (log x) into (log x) 1.037 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.037 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.037 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.039 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.040 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.040 * [taylor]: Taking taylor expansion of 0 in y 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.041 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.041 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.044 * [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)) 1.044 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.045 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.045 * [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)))) 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.045 * [taylor]: Taking taylor expansion of 1/3 in y 1.045 * [backup-simplify]: Simplify 1/3 into 1/3 1.045 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.045 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.045 * [taylor]: Taking taylor expansion of 1/3 in y 1.045 * [backup-simplify]: Simplify 1/3 into 1/3 1.045 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.045 * [taylor]: Taking taylor expansion of x in y 1.045 * [backup-simplify]: Simplify x into x 1.046 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.046 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.046 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.046 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.046 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (* 1 1) into 1 1.047 * [backup-simplify]: Simplify (/ 1 1) into 1 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.052 * [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 1.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.054 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.055 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.057 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.058 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [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 1.067 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.067 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.069 * [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 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.069 * [backup-simplify]: Simplify (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) into (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) 1.069 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in (x y) around 0 1.069 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in y 1.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in y 1.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in y 1.069 * [taylor]: Taking taylor expansion of 1/3 in y 1.069 * [backup-simplify]: Simplify 1/3 into 1/3 1.069 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in y 1.069 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in y 1.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.069 * [taylor]: Taking taylor expansion of x in y 1.069 * [backup-simplify]: Simplify x into x 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.069 * [taylor]: Taking taylor expansion of y in y 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.070 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.070 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.070 * [backup-simplify]: Simplify (log (pow x 4)) into (log (pow x 4)) 1.070 * [backup-simplify]: Simplify (* 1/3 (log (pow x 4))) into (* 1/3 (log (pow x 4))) 1.070 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 4)))) into (pow (pow x 4) 1/3) 1.070 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in x 1.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in x 1.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in x 1.070 * [taylor]: Taking taylor expansion of 1/3 in x 1.070 * [backup-simplify]: Simplify 1/3 into 1/3 1.070 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in x 1.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [backup-simplify]: Simplify y into y 1.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.070 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.070 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.071 * [backup-simplify]: Simplify (log (pow y 4)) into (log (pow y 4)) 1.071 * [backup-simplify]: Simplify (* 1/3 (log (pow y 4))) into (* 1/3 (log (pow y 4))) 1.071 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 4)))) into (pow (pow y 4) 1/3) 1.071 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in x 1.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in x 1.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in x 1.071 * [taylor]: Taking taylor expansion of 1/3 in x 1.071 * [backup-simplify]: Simplify 1/3 into 1/3 1.071 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in x 1.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [backup-simplify]: Simplify y into y 1.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.071 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.071 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.071 * [backup-simplify]: Simplify (log (pow y 4)) into (log (pow y 4)) 1.071 * [backup-simplify]: Simplify (* 1/3 (log (pow y 4))) into (* 1/3 (log (pow y 4))) 1.072 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 4)))) into (pow (pow y 4) 1/3) 1.072 * [taylor]: Taking taylor expansion of (pow (pow y 4) 1/3) in y 1.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 4)))) in y 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 4))) in y 1.072 * [taylor]: Taking taylor expansion of 1/3 in y 1.072 * [backup-simplify]: Simplify 1/3 into 1/3 1.072 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 1.072 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (* 1 1) into 1 1.072 * [backup-simplify]: Simplify (* 1 1) into 1 1.073 * [backup-simplify]: Simplify (log 1) into 0 1.073 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 1.073 * [backup-simplify]: Simplify (* 1/3 (* 4 (log y))) into (* 4/3 (log y)) 1.073 * [backup-simplify]: Simplify (exp (* 4/3 (log y))) into (pow y 4/3) 1.073 * [backup-simplify]: Simplify (pow y 4/3) into (pow y 4/3) 1.073 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 4) 1)))) 1) into 0 1.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 4)))) into 0 1.075 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 4)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in y 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.077 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 1.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 4 (log y)))) into 0 1.078 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (* 1 1) into 1 1.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.079 * [backup-simplify]: Simplify (+ 1 0) into 1 1.079 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 1.080 * [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)) 1.081 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 4))))) into (* 2/3 (/ 1 (pow y 2))) 1.082 * [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)) 1.082 * [taylor]: Taking taylor expansion of (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) in y 1.082 * [taylor]: Taking taylor expansion of 2/3 in y 1.082 * [backup-simplify]: Simplify 2/3 into 2/3 1.082 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.082 * [taylor]: Taking taylor expansion of 1/3 in y 1.082 * [backup-simplify]: Simplify 1/3 into 1/3 1.082 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (* 1 1) into 1 1.083 * [backup-simplify]: Simplify (/ 1 1) into 1 1.083 * [backup-simplify]: Simplify (log 1) into 0 1.083 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.083 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.084 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.084 * [backup-simplify]: Simplify (* 2/3 (pow y -2/3)) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 1.084 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 1.084 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.087 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 1.088 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 4 (log y))))) into 0 1.089 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 1.092 * [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 1.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 4)))))) into 0 1.094 * [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 1.094 * [taylor]: Taking taylor expansion of 0 in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.097 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 1.098 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow y -2/3))) into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.103 * [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 1.103 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 1.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 4 (log y)))))) into 0 1.105 * [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 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (+ (* (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) (pow (* 1 x) 2)) (pow y 4/3)) into (+ (* 2/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 4/3)) 1.106 * [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 x 2)) (/ 1 (pow y 2))) 2) 1/3) 1.106 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in (x y) around 0 1.106 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in y 1.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in y 1.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in y 1.106 * [taylor]: Taking taylor expansion of 1/3 in y 1.106 * [backup-simplify]: Simplify 1/3 into 1/3 1.106 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in y 1.106 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [backup-simplify]: Simplify x into x 1.106 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.106 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (* 1 1) into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [backup-simplify]: Simplify (+ 0 1) into 1 1.107 * [backup-simplify]: Simplify (* 1 1) into 1 1.107 * [backup-simplify]: Simplify (log 1) into 0 1.108 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.108 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.108 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.108 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 1.108 * [taylor]: Taking taylor expansion of 1/3 in x 1.108 * [backup-simplify]: Simplify 1/3 into 1/3 1.108 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 1.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [backup-simplify]: Simplify y into y 1.109 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.109 * [backup-simplify]: Simplify (+ 1 0) into 1 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (log 1) into 0 1.110 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.110 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 1.110 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 1.110 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 1.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 1.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 1.110 * [taylor]: Taking taylor expansion of 1/3 in x 1.110 * [backup-simplify]: Simplify 1/3 into 1/3 1.110 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 1.110 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (* 1 1) into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [backup-simplify]: Simplify y into y 1.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.111 * [backup-simplify]: Simplify (+ 1 0) into 1 1.111 * [backup-simplify]: Simplify (* 1 1) into 1 1.112 * [backup-simplify]: Simplify (log 1) into 0 1.112 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.112 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 1.112 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 1.112 * [taylor]: Taking taylor expansion of (pow x -4/3) in y 1.112 * [taylor]: Taking taylor expansion of (exp (* -4/3 (log x))) in y 1.112 * [taylor]: Taking taylor expansion of (* -4/3 (log x)) in y 1.112 * [taylor]: Taking taylor expansion of -4/3 in y 1.112 * [backup-simplify]: Simplify -4/3 into -4/3 1.112 * [taylor]: Taking taylor expansion of (log x) in y 1.112 * [taylor]: Taking taylor expansion of x in y 1.112 * [backup-simplify]: Simplify x into x 1.112 * [backup-simplify]: Simplify (log x) into (log x) 1.112 * [backup-simplify]: Simplify (* -4/3 (log x)) into (* -4/3 (log x)) 1.112 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 1.112 * [backup-simplify]: Simplify (pow x -4/3) into (pow x -4/3) 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.115 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.115 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 1.116 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.116 * [taylor]: Taking taylor expansion of 0 in y 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.117 * [backup-simplify]: Simplify (+ (* -4/3 0) (* 0 (log x))) into 0 1.117 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.119 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 1.120 * [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)) 1.120 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.121 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into (* 2/3 (/ 1 (pow y 2))) 1.121 * [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)))) 1.121 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) in y 1.121 * [taylor]: Taking taylor expansion of 2/3 in y 1.121 * [backup-simplify]: Simplify 2/3 into 2/3 1.121 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2))) in y 1.121 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 1.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 1.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 1.122 * [taylor]: Taking taylor expansion of 1/3 in y 1.122 * [backup-simplify]: Simplify 1/3 into 1/3 1.122 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.122 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.122 * [taylor]: Taking taylor expansion of x in y 1.122 * [backup-simplify]: Simplify x into x 1.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.122 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.122 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.122 * [backup-simplify]: Simplify (log (/ 1 (pow x 4))) into (log (/ 1 (pow x 4))) 1.122 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 4)))) into (* 1/3 (log (/ 1 (pow x 4)))) 1.122 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 4))))) into (pow (/ 1 (pow x 4)) 1/3) 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (* 1 1) into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.125 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 1.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 1) into 0 1.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 4))))) into 0 1.127 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.127 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.127 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 1.129 * [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 1.129 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 4)))))) into 0 1.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (* 0 1)) into 0 1.131 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 4)) 1/3) 1) into (pow (/ 1 (pow x 4)) 1/3) 1.132 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 4)) 1/3)))) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.134 * [backup-simplify]: Simplify (+ (* -4/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.134 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.139 * [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 1.139 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 1.141 * [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 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (pow (/ 1 x) -4/3) into (pow (/ 1 x) -4/3) 1.142 * [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 x 2)) (/ 1 (pow y 2))) 2) 1/3) 1.142 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in (x y) around 0 1.142 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in y 1.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in y 1.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in y 1.142 * [taylor]: Taking taylor expansion of 1/3 in y 1.142 * [backup-simplify]: Simplify 1/3 into 1/3 1.142 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in y 1.142 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.142 * [taylor]: Taking taylor expansion of x in y 1.142 * [backup-simplify]: Simplify x into x 1.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (* 1 1) into 1 1.143 * [backup-simplify]: Simplify (/ 1 1) into 1 1.143 * [backup-simplify]: Simplify (+ 0 1) into 1 1.143 * [backup-simplify]: Simplify (* 1 1) into 1 1.143 * [backup-simplify]: Simplify (log 1) into 0 1.144 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.144 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.144 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.144 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 1.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 1.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 1.144 * [taylor]: Taking taylor expansion of 1/3 in x 1.144 * [backup-simplify]: Simplify 1/3 into 1/3 1.144 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 1.144 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (* 1 1) into 1 1.145 * [backup-simplify]: Simplify (/ 1 1) into 1 1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [backup-simplify]: Simplify y into y 1.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.145 * [backup-simplify]: Simplify (+ 1 0) into 1 1.145 * [backup-simplify]: Simplify (* 1 1) into 1 1.146 * [backup-simplify]: Simplify (log 1) into 0 1.146 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.146 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 1.146 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 1.146 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 1.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 1.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 1.146 * [taylor]: Taking taylor expansion of 1/3 in x 1.146 * [backup-simplify]: Simplify 1/3 into 1/3 1.146 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (* 1 1) into 1 1.147 * [backup-simplify]: Simplify (/ 1 1) into 1 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.147 * [backup-simplify]: Simplify y into y 1.147 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.147 * [backup-simplify]: Simplify (+ 1 0) into 1 1.147 * [backup-simplify]: Simplify (* 1 1) into 1 1.148 * [backup-simplify]: Simplify (log 1) into 0 1.148 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.148 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 1.148 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 1.148 * [taylor]: Taking taylor expansion of (pow x -4/3) in y 1.148 * [taylor]: Taking taylor expansion of (exp (* -4/3 (log x))) in y 1.148 * [taylor]: Taking taylor expansion of (* -4/3 (log x)) in y 1.148 * [taylor]: Taking taylor expansion of -4/3 in y 1.148 * [backup-simplify]: Simplify -4/3 into -4/3 1.148 * [taylor]: Taking taylor expansion of (log x) in y 1.148 * [taylor]: Taking taylor expansion of x in y 1.148 * [backup-simplify]: Simplify x into x 1.148 * [backup-simplify]: Simplify (log x) into (log x) 1.148 * [backup-simplify]: Simplify (* -4/3 (log x)) into (* -4/3 (log x)) 1.148 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 1.149 * [backup-simplify]: Simplify (pow x -4/3) into (pow x -4/3) 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.151 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 1.152 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.152 * [taylor]: Taking taylor expansion of 0 in y 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.153 * [backup-simplify]: Simplify (+ (* -4/3 0) (* 0 (log x))) into 0 1.153 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.155 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 1.156 * [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)) 1.157 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.157 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into (* 2/3 (/ 1 (pow y 2))) 1.158 * [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)))) 1.158 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) in y 1.158 * [taylor]: Taking taylor expansion of 2/3 in y 1.158 * [backup-simplify]: Simplify 2/3 into 2/3 1.158 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2))) in y 1.158 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 1.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 1.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 1.158 * [taylor]: Taking taylor expansion of 1/3 in y 1.158 * [backup-simplify]: Simplify 1/3 into 1/3 1.158 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.158 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.158 * [taylor]: Taking taylor expansion of x in y 1.158 * [backup-simplify]: Simplify x into x 1.158 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.158 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.158 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.158 * [backup-simplify]: Simplify (log (/ 1 (pow x 4))) into (log (/ 1 (pow x 4))) 1.158 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 4)))) into (* 1/3 (log (/ 1 (pow x 4)))) 1.159 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 4))))) into (pow (/ 1 (pow x 4)) 1/3) 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.159 * [taylor]: Taking taylor expansion of y in y 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (* 1 1) into 1 1.159 * [backup-simplify]: Simplify (/ 1 1) into 1 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.161 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 1.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 1) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 4))))) into 0 1.168 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.168 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 1.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 1.170 * [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 1.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 4)))))) into 0 1.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.172 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.172 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (* 0 1)) into 0 1.172 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 4)) 1/3) 1) into (pow (/ 1 (pow x 4)) 1/3) 1.173 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 4)) 1/3)))) into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.175 * [backup-simplify]: Simplify (+ (* -4/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.175 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.175 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.177 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.180 * [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 1.180 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 1.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 1.182 * [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 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -4/3) into (pow (/ -1 x) -4/3) 1.182 * * * [progress]: simplifying candidates 1.184 * [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) (+ (* 2/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 4/3)) (pow (/ 1 x) -4/3) (pow (/ -1 x) -4/3) 1.186 * * [simplify]: Extracting # 0 : cost 0 1.186 * * [simplify]: Extracting # 1 : cost 0 1.186 * * [simplify]: Extracting # 2 : cost 0 1.186 * * [simplify]: Extracting # 3 : cost 0 1.187 * * [simplify]: Extracting # 4 : cost 0 1.187 * * [simplify]: Extracting # 5 : cost 0 1.187 * * [simplify]: Extracting # 6 : cost 0 1.187 * * [simplify]: Extracting # 7 : cost 0 1.187 * * [simplify]: Extracting # 8 : cost 0 1.187 * * [simplify]: Extracting # 9 : cost 0 1.187 * * [simplify]: Extracting # 10 : cost 0 1.188 * * [simplify]: iteration 0 : 102 enodes (cost 1926 ) 1.219 * * [simplify]: Extracting # 0 : cost 0 1.220 * * [simplify]: Extracting # 1 : cost 0 1.220 * * [simplify]: Extracting # 2 : cost 0 1.220 * * [simplify]: Extracting # 3 : cost 0 1.220 * * [simplify]: Extracting # 4 : cost 0 1.221 * * [simplify]: iteration 1 : 258 enodes (cost 1757 ) 1.383 * * [simplify]: Extracting # 0 : cost 0 1.385 * * [simplify]: Extracting # 1 : cost 0 1.386 * * [simplify]: Extracting # 2 : cost 0 1.388 * * [simplify]: Extracting # 3 : cost 0 1.389 * * [simplify]: Extracting # 4 : cost 0 1.391 * * [simplify]: Extracting # 5 : cost 0 1.392 * * [simplify]: Extracting # 6 : cost 0 1.394 * * [simplify]: iteration 2 : 1208 enodes (cost 1543 ) 1.874 * * [simplify]: Extracting # 0 : cost 0 1.882 * * [simplify]: Extracting # 1 : cost 0 1.888 * * [simplify]: Extracting # 2 : cost 0 1.893 * * [simplify]: Extracting # 3 : cost 0 1.899 * * [simplify]: Extracting # 4 : cost 0 1.906 * * [simplify]: Extracting # 5 : cost 0 1.913 * * [simplify]: iteration done: 5000 enodes (cost 1447 ) 1.916 * [simplify]: Simplified to: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) 1 (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow x 6) (pow y 6))) (cbrt (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))) (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (* x x) (* y 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 (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) 1 (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow x 6) (pow y 6))) (cbrt (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))) (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (* x x) (* y 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 (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) 1 (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow x 6) (pow y 6))) (cbrt (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))) (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (* x x) (* y 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 (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 2 (* 2 (log (cbrt (+ (* x x) (* y y))))) (* 2 (log (cbrt (+ (* x x) (* y y))))) (exp (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)))) (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (fabs (cbrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (pow x 6) (pow y 6))) (cbrt (+ (pow x 6) (pow y 6)))) (* (cbrt (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))) (cbrt (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y))))) (* (cbrt (+ (pow x 6) (pow y 6))) (cbrt (- (pow x 4) (pow y 4)))) (* (cbrt (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))) (cbrt (- (* x x) (* y y)))) (* (cbrt (+ (pow x 6) (pow y 6))) (cbrt (- (pow x 4) (pow y 4)))) (* (cbrt (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 1 (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (pow (cbrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))) 1 (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (* (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)))) (cbrt (sqrt (+ (* 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))))) (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))) 2/3 2 (* (cbrt (+ (* y y) (* x x))) (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (+ (* y y) (* x x))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (pow (cbrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) (pow (sqrt (cbrt (+ (* y y) (* x x)))) 3) (cbrt (+ (* y y) (* x x))) (pow (cbrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (* (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (pow (cbrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (pow (sqrt (cbrt (+ (* y y) (* x x)))) 3) (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow x 6) (pow y 6)))) (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow x 6) (pow y 6)))) (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (+ (* x x) (* y y)))) (+ (pow y 2/3) (* (* (cbrt (/ 1 (pow y 4))) (* x x)) 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* (* (cbrt (/ 1 (pow y 4))) (* x x)) 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* (* (cbrt (/ 1 (pow y 4))) (* x x)) 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 4/3) (* 2/3 (* (cbrt (/ 1 (pow y 2))) (* x x)))) (pow (/ 1 x) -4/3) (pow (/ -1 x) -4/3) 1.917 * * * [progress]: adding candidates to table 2.272 * * [progress]: iteration 3 / 4 2.272 * * * [progress]: picking best candidate 2.276 * * * * [pick]: Picked # 2.276 * * * [progress]: localizing error 2.302 * * * [progress]: generating rewritten candidates 2.302 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.310 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.335 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.509 * * * [progress]: generating series expansions 2.510 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.510 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 2.510 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 2.510 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 2.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 2.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 2.510 * [taylor]: Taking taylor expansion of 1/3 in y 2.510 * [backup-simplify]: Simplify 1/3 into 1/3 2.510 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.510 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.510 * [taylor]: Taking taylor expansion of x in y 2.510 * [backup-simplify]: Simplify x into x 2.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.510 * [taylor]: Taking taylor expansion of y in y 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.511 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.511 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.511 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.511 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.511 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.511 * [taylor]: Taking taylor expansion of 1/3 in x 2.511 * [backup-simplify]: Simplify 1/3 into 1/3 2.511 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.511 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.511 * [taylor]: Taking taylor expansion of y in x 2.511 * [backup-simplify]: Simplify y into y 2.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.511 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.512 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.512 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.512 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.512 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.512 * [taylor]: Taking taylor expansion of 1/3 in x 2.512 * [backup-simplify]: Simplify 1/3 into 1/3 2.512 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.512 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.512 * [taylor]: Taking taylor expansion of y in x 2.512 * [backup-simplify]: Simplify y into y 2.512 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.513 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.513 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.513 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.513 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.513 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 2.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 2.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 2.513 * [taylor]: Taking taylor expansion of 1/3 in y 2.513 * [backup-simplify]: Simplify 1/3 into 1/3 2.513 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.513 * [taylor]: Taking taylor expansion of y in y 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (* 1 1) into 1 2.515 * [backup-simplify]: Simplify (log 1) into 0 2.515 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.515 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 2.515 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 2.515 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 2.515 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 2.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.518 * [taylor]: Taking taylor expansion of 0 in y 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.520 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 2.522 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (* 1 1) into 1 2.522 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.523 * [backup-simplify]: Simplify (+ 1 0) into 1 2.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 2.524 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 2.525 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.525 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 2.525 * [taylor]: Taking taylor expansion of 1/3 in y 2.525 * [backup-simplify]: Simplify 1/3 into 1/3 2.525 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 2.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 2.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 2.525 * [taylor]: Taking taylor expansion of 1/3 in y 2.525 * [backup-simplify]: Simplify 1/3 into 1/3 2.525 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 2.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.525 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.525 * [taylor]: Taking taylor expansion of y in y 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.526 * [backup-simplify]: Simplify (* 1 1) into 1 2.526 * [backup-simplify]: Simplify (* 1 1) into 1 2.526 * [backup-simplify]: Simplify (/ 1 1) into 1 2.526 * [backup-simplify]: Simplify (log 1) into 0 2.527 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.527 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 2.527 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 2.527 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.527 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.534 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 2.536 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.540 * [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 2.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 2.542 * [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 2.542 * [taylor]: Taking taylor expansion of 0 in y 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.544 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.544 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 2.545 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.549 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 2.551 * [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 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [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)))) 2.551 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.552 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.552 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.552 * [taylor]: Taking taylor expansion of 1/3 in y 2.552 * [backup-simplify]: Simplify 1/3 into 1/3 2.552 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.552 * [taylor]: Taking taylor expansion of x in y 2.552 * [backup-simplify]: Simplify x into x 2.552 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.552 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.552 * [taylor]: Taking taylor expansion of y in y 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (* 1 1) into 1 2.552 * [backup-simplify]: Simplify (/ 1 1) into 1 2.553 * [backup-simplify]: Simplify (+ 0 1) into 1 2.553 * [backup-simplify]: Simplify (log 1) into 0 2.553 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.553 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.553 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.553 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.553 * [taylor]: Taking taylor expansion of 1/3 in x 2.554 * [backup-simplify]: Simplify 1/3 into 1/3 2.554 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (* 1 1) into 1 2.554 * [backup-simplify]: Simplify (/ 1 1) into 1 2.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.554 * [taylor]: Taking taylor expansion of y in x 2.554 * [backup-simplify]: Simplify y into y 2.554 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.554 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.555 * [backup-simplify]: Simplify (+ 1 0) into 1 2.555 * [backup-simplify]: Simplify (log 1) into 0 2.555 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.555 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.555 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.555 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.555 * [taylor]: Taking taylor expansion of 1/3 in x 2.555 * [backup-simplify]: Simplify 1/3 into 1/3 2.555 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.556 * [backup-simplify]: Simplify (* 1 1) into 1 2.556 * [backup-simplify]: Simplify (/ 1 1) into 1 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.556 * [taylor]: Taking taylor expansion of y in x 2.556 * [backup-simplify]: Simplify y into y 2.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.556 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.556 * [backup-simplify]: Simplify (+ 1 0) into 1 2.557 * [backup-simplify]: Simplify (log 1) into 0 2.557 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.557 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.557 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.557 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.557 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.557 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.557 * [taylor]: Taking taylor expansion of -2/3 in y 2.557 * [backup-simplify]: Simplify -2/3 into -2/3 2.557 * [taylor]: Taking taylor expansion of (log x) in y 2.557 * [taylor]: Taking taylor expansion of x in y 2.557 * [backup-simplify]: Simplify x into x 2.557 * [backup-simplify]: Simplify (log x) into (log x) 2.557 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.557 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.558 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (+ 0 0) into 0 2.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.560 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.560 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.561 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.561 * [taylor]: Taking taylor expansion of 0 in y 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.562 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.562 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.562 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.565 * [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)) 2.565 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.566 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.566 * [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)))) 2.566 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.566 * [taylor]: Taking taylor expansion of 1/3 in y 2.566 * [backup-simplify]: Simplify 1/3 into 1/3 2.566 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.566 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.567 * [taylor]: Taking taylor expansion of 1/3 in y 2.567 * [backup-simplify]: Simplify 1/3 into 1/3 2.567 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.567 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.567 * [taylor]: Taking taylor expansion of x in y 2.567 * [backup-simplify]: Simplify x into x 2.567 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.567 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.567 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.567 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.567 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.567 * [taylor]: Taking taylor expansion of y in y 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (* 1 1) into 1 2.568 * [backup-simplify]: Simplify (/ 1 1) into 1 2.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.571 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.572 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.573 * [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 2.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.575 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.575 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.576 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.576 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.576 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.578 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.579 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.581 * [backup-simplify]: Simplify (+ 0 0) into 0 2.583 * [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 2.583 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.585 * [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 2.585 * [taylor]: Taking taylor expansion of 0 in y 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 2.585 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.585 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.585 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.585 * [taylor]: Taking taylor expansion of 1/3 in y 2.586 * [backup-simplify]: Simplify 1/3 into 1/3 2.586 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.586 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.586 * [taylor]: Taking taylor expansion of x in y 2.586 * [backup-simplify]: Simplify x into x 2.586 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.586 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.586 * [taylor]: Taking taylor expansion of y in y 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (* 1 1) into 1 2.586 * [backup-simplify]: Simplify (/ 1 1) into 1 2.587 * [backup-simplify]: Simplify (+ 0 1) into 1 2.587 * [backup-simplify]: Simplify (log 1) into 0 2.587 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.587 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.587 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.587 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.587 * [taylor]: Taking taylor expansion of 1/3 in x 2.587 * [backup-simplify]: Simplify 1/3 into 1/3 2.587 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (* 1 1) into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [backup-simplify]: Simplify y into y 2.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.588 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.588 * [backup-simplify]: Simplify (+ 1 0) into 1 2.589 * [backup-simplify]: Simplify (log 1) into 0 2.589 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.589 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.589 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.589 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.589 * [taylor]: Taking taylor expansion of 1/3 in x 2.589 * [backup-simplify]: Simplify 1/3 into 1/3 2.589 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.590 * [backup-simplify]: Simplify (* 1 1) into 1 2.590 * [backup-simplify]: Simplify (/ 1 1) into 1 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.590 * [taylor]: Taking taylor expansion of y in x 2.590 * [backup-simplify]: Simplify y into y 2.590 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.590 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.590 * [backup-simplify]: Simplify (+ 1 0) into 1 2.591 * [backup-simplify]: Simplify (log 1) into 0 2.591 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.591 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.591 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.591 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.591 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.591 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.591 * [taylor]: Taking taylor expansion of -2/3 in y 2.591 * [backup-simplify]: Simplify -2/3 into -2/3 2.591 * [taylor]: Taking taylor expansion of (log x) in y 2.591 * [taylor]: Taking taylor expansion of x in y 2.591 * [backup-simplify]: Simplify x into x 2.591 * [backup-simplify]: Simplify (log x) into (log x) 2.591 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.591 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.591 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ 0 0) into 0 2.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.594 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.594 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.595 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.595 * [taylor]: Taking taylor expansion of 0 in y 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.595 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.596 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.597 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.598 * [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)) 2.599 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.599 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.600 * [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)))) 2.600 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.600 * [taylor]: Taking taylor expansion of 1/3 in y 2.600 * [backup-simplify]: Simplify 1/3 into 1/3 2.600 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.600 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.600 * [taylor]: Taking taylor expansion of 1/3 in y 2.600 * [backup-simplify]: Simplify 1/3 into 1/3 2.600 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.600 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.600 * [taylor]: Taking taylor expansion of x in y 2.600 * [backup-simplify]: Simplify x into x 2.600 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.600 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.600 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.600 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.601 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.601 * [taylor]: Taking taylor expansion of y in y 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (* 1 1) into 1 2.601 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.603 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.605 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.605 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.607 * [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 2.607 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.608 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.609 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.609 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.609 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.610 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.611 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.612 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.614 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.614 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [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 2.617 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.617 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.619 * [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 2.619 * [taylor]: Taking taylor expansion of 0 in y 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 2.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.619 * [backup-simplify]: Simplify (cbrt (+ (* y y) (* x x))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 2.619 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (y x) around 0 2.619 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.619 * [taylor]: Taking taylor expansion of 1/3 in x 2.619 * [backup-simplify]: Simplify 1/3 into 1/3 2.619 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.619 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.619 * [taylor]: Taking taylor expansion of y in x 2.619 * [backup-simplify]: Simplify y into y 2.619 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.620 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.620 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.620 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.620 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.620 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 2.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 2.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 2.620 * [taylor]: Taking taylor expansion of 1/3 in y 2.620 * [backup-simplify]: Simplify 1/3 into 1/3 2.620 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.620 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.620 * [taylor]: Taking taylor expansion of x in y 2.620 * [backup-simplify]: Simplify x into x 2.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.620 * [taylor]: Taking taylor expansion of y in y 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.620 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.620 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.620 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.621 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.621 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 2.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 2.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 2.621 * [taylor]: Taking taylor expansion of 1/3 in y 2.621 * [backup-simplify]: Simplify 1/3 into 1/3 2.621 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.621 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.621 * [taylor]: Taking taylor expansion of x in y 2.621 * [backup-simplify]: Simplify x into x 2.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.621 * [taylor]: Taking taylor expansion of y in y 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.621 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.621 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.621 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.621 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.621 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.621 * [taylor]: Taking taylor expansion of 1/3 in x 2.621 * [backup-simplify]: Simplify 1/3 into 1/3 2.621 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.621 * [taylor]: Taking taylor expansion of x in x 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (log 1) into 0 2.622 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.622 * [backup-simplify]: Simplify (* 1/3 (* 2 (log x))) into (* 2/3 (log x)) 2.622 * [backup-simplify]: Simplify (exp (* 2/3 (log x))) into (pow x 2/3) 2.622 * [backup-simplify]: Simplify (pow x 2/3) into (pow x 2/3) 2.623 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.623 * [backup-simplify]: Simplify (+ 0 0) into 0 2.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0 2.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow x 2)))) into 0 2.624 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.624 * [taylor]: Taking taylor expansion of 0 in x 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.626 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log x)))) into 0 2.627 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.632 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (+ 0 1) into 1 2.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow x 2) 1)))) 2) into (/ 1 (pow x 2)) 2.634 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/3 (/ 1 (pow x 2))) 2.635 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 2.635 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) in x 2.635 * [taylor]: Taking taylor expansion of 1/3 in x 2.635 * [backup-simplify]: Simplify 1/3 into 1/3 2.635 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 2.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 2.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 2.635 * [taylor]: Taking taylor expansion of 1/3 in x 2.635 * [backup-simplify]: Simplify 1/3 into 1/3 2.635 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 2.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.635 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.635 * [taylor]: Taking taylor expansion of x in x 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify 1 into 1 2.635 * [backup-simplify]: Simplify (* 1 1) into 1 2.635 * [backup-simplify]: Simplify (* 1 1) into 1 2.636 * [backup-simplify]: Simplify (/ 1 1) into 1 2.636 * [backup-simplify]: Simplify (log 1) into 0 2.636 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 2.636 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 2.636 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 2.636 * [backup-simplify]: Simplify (* 1/3 (pow x -4/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 2.637 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.639 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.640 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log x))))) into 0 2.640 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.644 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow x 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow x 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow x 2) 1)))) 6) into 0 2.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2)))))) into 0 2.646 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.646 * [taylor]: Taking taylor expansion of 0 in x 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.650 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 2.650 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 2.651 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow x -4/3))) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.657 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 2.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log x)))))) into 0 2.659 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (* 1 y) 2)) (pow x 2/3)) into (+ (pow x 2/3) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2)))) 2.660 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.660 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (y x) around 0 2.660 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.660 * [taylor]: Taking taylor expansion of 1/3 in x 2.660 * [backup-simplify]: Simplify 1/3 into 1/3 2.660 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [backup-simplify]: Simplify (* 1 1) into 1 2.660 * [backup-simplify]: Simplify (/ 1 1) into 1 2.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.660 * [taylor]: Taking taylor expansion of y in x 2.660 * [backup-simplify]: Simplify y into y 2.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.661 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.661 * [backup-simplify]: Simplify (+ 1 0) into 1 2.661 * [backup-simplify]: Simplify (log 1) into 0 2.661 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.661 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.661 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.661 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.662 * [taylor]: Taking taylor expansion of 1/3 in y 2.662 * [backup-simplify]: Simplify 1/3 into 1/3 2.662 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.662 * [taylor]: Taking taylor expansion of x in y 2.662 * [backup-simplify]: Simplify x into x 2.662 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.662 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.662 * [taylor]: Taking taylor expansion of y in y 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (* 1 1) into 1 2.662 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [backup-simplify]: Simplify (+ 0 1) into 1 2.663 * [backup-simplify]: Simplify (log 1) into 0 2.663 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.663 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.664 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.664 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.664 * [taylor]: Taking taylor expansion of 1/3 in y 2.664 * [backup-simplify]: Simplify 1/3 into 1/3 2.664 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.664 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.664 * [taylor]: Taking taylor expansion of x in y 2.664 * [backup-simplify]: Simplify x into x 2.664 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.664 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.664 * [taylor]: Taking taylor expansion of y in y 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (* 1 1) into 1 2.664 * [backup-simplify]: Simplify (/ 1 1) into 1 2.665 * [backup-simplify]: Simplify (+ 0 1) into 1 2.665 * [backup-simplify]: Simplify (log 1) into 0 2.665 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.665 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.665 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.665 * [taylor]: Taking taylor expansion of (pow y -2/3) in x 2.665 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log y))) in x 2.665 * [taylor]: Taking taylor expansion of (* -2/3 (log y)) in x 2.665 * [taylor]: Taking taylor expansion of -2/3 in x 2.666 * [backup-simplify]: Simplify -2/3 into -2/3 2.666 * [taylor]: Taking taylor expansion of (log y) in x 2.666 * [taylor]: Taking taylor expansion of y in x 2.666 * [backup-simplify]: Simplify y into y 2.666 * [backup-simplify]: Simplify (log y) into (log y) 2.666 * [backup-simplify]: Simplify (* -2/3 (log y)) into (* -2/3 (log y)) 2.666 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.666 * [backup-simplify]: Simplify (pow y -2/3) into (pow y -2/3) 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.668 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 2.669 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.669 * [taylor]: Taking taylor expansion of 0 in x 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 2.670 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log y))) into 0 2.670 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.673 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 2.673 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.673 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/3 (/ 1 (pow x 2))) 2.674 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 2.674 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x 2.674 * [taylor]: Taking taylor expansion of 1/3 in x 2.674 * [backup-simplify]: Simplify 1/3 into 1/3 2.674 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (* 1 1) into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 2.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 2.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 2.675 * [taylor]: Taking taylor expansion of 1/3 in x 2.675 * [backup-simplify]: Simplify 1/3 into 1/3 2.675 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.675 * [taylor]: Taking taylor expansion of y in x 2.675 * [backup-simplify]: Simplify y into y 2.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.675 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2))) 2.675 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2)))) 2.675 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3) 2.675 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0 2.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0 2.677 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0 2.679 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0 2.680 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0 2.683 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3) 2.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow y 1)))) 2) into 0 2.686 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log y)))) into 0 2.687 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ 0 0) into 0 2.691 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.691 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 2.693 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.693 * [taylor]: Taking taylor expansion of 0 in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (pow (/ 1 y) -2/3) into (pow (/ 1 y) -2/3) 2.693 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.693 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (y x) around 0 2.693 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.694 * [taylor]: Taking taylor expansion of 1/3 in x 2.694 * [backup-simplify]: Simplify 1/3 into 1/3 2.694 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (* 1 1) into 1 2.695 * [backup-simplify]: Simplify (/ 1 1) into 1 2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.695 * [taylor]: Taking taylor expansion of y in x 2.695 * [backup-simplify]: Simplify y into y 2.695 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.695 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.695 * [backup-simplify]: Simplify (+ 1 0) into 1 2.696 * [backup-simplify]: Simplify (log 1) into 0 2.696 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.696 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.696 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.696 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.696 * [taylor]: Taking taylor expansion of 1/3 in y 2.697 * [backup-simplify]: Simplify 1/3 into 1/3 2.697 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.697 * [taylor]: Taking taylor expansion of x in y 2.697 * [backup-simplify]: Simplify x into x 2.697 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.697 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.697 * [taylor]: Taking taylor expansion of y in y 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (* 1 1) into 1 2.698 * [backup-simplify]: Simplify (/ 1 1) into 1 2.698 * [backup-simplify]: Simplify (+ 0 1) into 1 2.698 * [backup-simplify]: Simplify (log 1) into 0 2.699 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.699 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.699 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.699 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.699 * [taylor]: Taking taylor expansion of 1/3 in y 2.699 * [backup-simplify]: Simplify 1/3 into 1/3 2.699 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.699 * [taylor]: Taking taylor expansion of x in y 2.699 * [backup-simplify]: Simplify x into x 2.699 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.700 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.700 * [taylor]: Taking taylor expansion of y in y 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (/ 1 1) into 1 2.701 * [backup-simplify]: Simplify (+ 0 1) into 1 2.701 * [backup-simplify]: Simplify (log 1) into 0 2.702 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.702 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.702 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.702 * [taylor]: Taking taylor expansion of (pow y -2/3) in x 2.702 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log y))) in x 2.702 * [taylor]: Taking taylor expansion of (* -2/3 (log y)) in x 2.702 * [taylor]: Taking taylor expansion of -2/3 in x 2.702 * [backup-simplify]: Simplify -2/3 into -2/3 2.702 * [taylor]: Taking taylor expansion of (log y) in x 2.702 * [taylor]: Taking taylor expansion of y in x 2.702 * [backup-simplify]: Simplify y into y 2.702 * [backup-simplify]: Simplify (log y) into (log y) 2.702 * [backup-simplify]: Simplify (* -2/3 (log y)) into (* -2/3 (log y)) 2.702 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.702 * [backup-simplify]: Simplify (pow y -2/3) into (pow y -2/3) 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.706 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 2.707 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.707 * [taylor]: Taking taylor expansion of 0 in x 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 2.708 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log y))) into 0 2.709 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 2.713 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.713 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/3 (/ 1 (pow x 2))) 2.714 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 2.714 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x 2.714 * [taylor]: Taking taylor expansion of 1/3 in x 2.714 * [backup-simplify]: Simplify 1/3 into 1/3 2.714 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x 2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (* 1 1) into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 2.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 2.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 2.715 * [taylor]: Taking taylor expansion of 1/3 in x 2.715 * [backup-simplify]: Simplify 1/3 into 1/3 2.715 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.715 * [taylor]: Taking taylor expansion of y in x 2.715 * [backup-simplify]: Simplify y into y 2.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.715 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2))) 2.716 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2)))) 2.716 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3) 2.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0 2.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0 2.717 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0 2.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0 2.721 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0 2.726 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3) 2.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow y 1)))) 2) into 0 2.728 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log y)))) into 0 2.729 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.735 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.736 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 2.738 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.738 * [taylor]: Taking taylor expansion of 0 in x 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify (pow (/ 1 (- y)) -2/3) into (pow (/ -1 y) -2/3) 2.738 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.739 * [backup-simplify]: Simplify (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) into (pow (pow (+ (pow x 2) (pow y 2)) 1/6) 4) 2.739 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/6) 4) in (y x) around 0 2.739 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/6) 4) in x 2.739 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x 2.739 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x 2.739 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x 2.739 * [taylor]: Taking taylor expansion of 1/6 in x 2.739 * [backup-simplify]: Simplify 1/6 into 1/6 2.739 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.739 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.739 * [taylor]: Taking taylor expansion of x in x 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.739 * [taylor]: Taking taylor expansion of y in x 2.739 * [backup-simplify]: Simplify y into y 2.740 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.740 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.740 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.740 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2))) 2.740 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6) 2.740 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/6) 4) in y 2.740 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 2.740 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 2.740 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 2.740 * [taylor]: Taking taylor expansion of 1/6 in y 2.740 * [backup-simplify]: Simplify 1/6 into 1/6 2.740 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.740 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.740 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.740 * [taylor]: Taking taylor expansion of x in y 2.740 * [backup-simplify]: Simplify x into x 2.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.741 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.741 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.741 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2))) 2.741 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6) 2.741 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/6) 4) in y 2.741 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y 2.741 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y 2.741 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y 2.741 * [taylor]: Taking taylor expansion of 1/6 in y 2.741 * [backup-simplify]: Simplify 1/6 into 1/6 2.741 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.741 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.741 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.742 * [taylor]: Taking taylor expansion of x in y 2.742 * [backup-simplify]: Simplify x into x 2.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.742 * [taylor]: Taking taylor expansion of y in y 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.742 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.742 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.742 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2))) 2.742 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6) 2.743 * [backup-simplify]: Simplify (* (pow (pow x 2) 1/6) (pow (pow x 2) 1/6)) into (pow (pow x 2) 1/3) 2.743 * [backup-simplify]: Simplify (* (pow (pow x 2) 1/3) (pow (pow x 2) 1/3)) into (pow (pow x 4) 1/3) 2.743 * [taylor]: Taking taylor expansion of (pow (pow x 4) 1/3) in x 2.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 4)))) in x 2.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 4))) in x 2.743 * [taylor]: Taking taylor expansion of 1/3 in x 2.743 * [backup-simplify]: Simplify 1/3 into 1/3 2.743 * [taylor]: Taking taylor expansion of (log (pow x 4)) in x 2.743 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (log 1) into 0 2.745 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) 0) into (* 4 (log x)) 2.745 * [backup-simplify]: Simplify (* 1/3 (* 4 (log x))) into (* 4/3 (log x)) 2.745 * [backup-simplify]: Simplify (exp (* 4/3 (log x))) into (pow x 4/3) 2.745 * [backup-simplify]: Simplify (pow x 4/3) into (pow x 4/3) 2.745 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0 2.753 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow x 2)))) into 0 2.754 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/6) 0) (* 0 (pow (pow x 2) 1/6))) into 0 2.755 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/3) 0) (* 0 (pow (pow x 2) 1/3))) into 0 2.755 * [taylor]: Taking taylor expansion of 0 in x 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.758 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) 0) into (* 4 (log x)) 2.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 4 (log x)))) into 0 2.759 * [backup-simplify]: Simplify (* (exp (* 4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.760 * [backup-simplify]: Simplify (* 1 1) into 1 2.760 * [backup-simplify]: Simplify (+ 0 1) into 1 2.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow x 2) 1)))) 2) into (/ 1 (pow x 2)) 2.762 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/6 (/ 1 (pow x 2))) 2.763 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) 2.765 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/6) (* 1/6 (pow (/ 1 (pow x 5)) 1/3))) (+ (* 0 0) (* (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) (pow (pow x 2) 1/6)))) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 2.766 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/3) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))) (+ (* 0 0) (* (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (pow x 2) 1/3)))) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) 2.766 * [taylor]: Taking taylor expansion of (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) in x 2.766 * [taylor]: Taking taylor expansion of 2/3 in x 2.767 * [backup-simplify]: Simplify 2/3 into 2/3 2.767 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.767 * [taylor]: Taking taylor expansion of 1/3 in x 2.767 * [backup-simplify]: Simplify 1/3 into 1/3 2.767 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.767 * [taylor]: Taking taylor expansion of x in x 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.768 * [backup-simplify]: Simplify (log 1) into 0 2.768 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.768 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.768 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.769 * [backup-simplify]: Simplify (* 2/3 (pow x -2/3)) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) 2.769 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.773 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) 0) into (* 4 (log x)) 2.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 4 (log x))))) into 0 2.775 * [backup-simplify]: Simplify (* (exp (* 4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow x 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow x 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow x 2) 1)))) 6) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2)))))) into 0 2.783 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow x 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/6) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow x 5)) 1/3))) (+ (* (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) 0) (* 0 (pow (pow x 2) 1/6))))) into 0 2.785 * [backup-simplify]: Simplify (+ (* (pow (pow x 2) 1/3) 0) (+ (* 0 (* 1/3 (pow (/ 1 (pow x 4)) 1/3))) (+ (* (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) 0) (* 0 (pow (pow x 2) 1/3))))) into 0 2.785 * [taylor]: Taking taylor expansion of 0 in x 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.787 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.788 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow x -2/3))) into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.795 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) 0) into (* 4 (log x)) 2.796 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 4 (log x)))))) into 0 2.798 * [backup-simplify]: Simplify (* (exp (* 4/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (* 1 y) 2)) (pow x 4/3)) into (+ (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (pow y 2))) (pow x 4/3)) 2.799 * [backup-simplify]: Simplify (pow (sqrt (cbrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) (+ 3 1)) into (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) 2.799 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in (y x) around 0 2.800 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in x 2.800 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.800 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.800 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.800 * [taylor]: Taking taylor expansion of 1/6 in x 2.800 * [backup-simplify]: Simplify 1/6 into 1/6 2.800 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (* 1 1) into 1 2.801 * [backup-simplify]: Simplify (/ 1 1) into 1 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.801 * [taylor]: Taking taylor expansion of y in x 2.801 * [backup-simplify]: Simplify y into y 2.801 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.801 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.801 * [backup-simplify]: Simplify (+ 1 0) into 1 2.802 * [backup-simplify]: Simplify (log 1) into 0 2.802 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.802 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.803 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.803 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in y 2.803 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.803 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.803 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.803 * [taylor]: Taking taylor expansion of 1/6 in y 2.803 * [backup-simplify]: Simplify 1/6 into 1/6 2.803 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.803 * [taylor]: Taking taylor expansion of x in y 2.803 * [backup-simplify]: Simplify x into x 2.803 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.803 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.803 * [taylor]: Taking taylor expansion of y in y 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* 1 1) into 1 2.804 * [backup-simplify]: Simplify (/ 1 1) into 1 2.804 * [backup-simplify]: Simplify (+ 0 1) into 1 2.805 * [backup-simplify]: Simplify (log 1) into 0 2.805 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.805 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.805 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.805 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in y 2.806 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.806 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.806 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.806 * [taylor]: Taking taylor expansion of 1/6 in y 2.806 * [backup-simplify]: Simplify 1/6 into 1/6 2.806 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.806 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.806 * [taylor]: Taking taylor expansion of x in y 2.806 * [backup-simplify]: Simplify x into x 2.806 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.806 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.806 * [taylor]: Taking taylor expansion of y in y 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [backup-simplify]: Simplify (+ 0 1) into 1 2.808 * [backup-simplify]: Simplify (log 1) into 0 2.808 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.808 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.808 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.809 * [backup-simplify]: Simplify (* (pow y -1/3) (pow y -1/3)) into (pow (/ 1 (pow y 2)) 1/3) 2.809 * [backup-simplify]: Simplify (* (pow (/ 1 (pow y 2)) 1/3) (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 4)) 1/3) 2.809 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in x 2.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in x 2.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in x 2.809 * [taylor]: Taking taylor expansion of 1/3 in x 2.809 * [backup-simplify]: Simplify 1/3 into 1/3 2.809 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.809 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.809 * [taylor]: Taking taylor expansion of y in x 2.809 * [backup-simplify]: Simplify y into y 2.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.810 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.810 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.810 * [backup-simplify]: Simplify (log (/ 1 (pow y 4))) into (log (/ 1 (pow y 4))) 2.810 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 4)))) into (* 1/3 (log (/ 1 (pow y 4)))) 2.810 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 4))))) into (pow (/ 1 (pow y 4)) 1/3) 2.811 * [backup-simplify]: Simplify (pow (/ 1 (pow y 4)) 1/3) into (pow (/ 1 (pow y 4)) 1/3) 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.814 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.815 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log y))))) into 0 2.816 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* (pow y -1/3) 0) (* 0 (pow y -1/3))) into 0 2.817 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow y 2)) 1/3) 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0 2.817 * [taylor]: Taking taylor expansion of 0 in x 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.817 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 1) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 4))))) into 0 2.820 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 2.824 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.825 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/6 (/ 1 (pow x 2))) 2.826 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) 2.828 * [backup-simplify]: Simplify (+ (* (pow y -1/3) (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (pow y -1/3)))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 2.830 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow y 2)) 1/3) (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))) (+ (* 0 0) (* (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) (pow (/ 1 (pow y 2)) 1/3)))) into (* 2/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3))) 2.830 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3))) in x 2.830 * [taylor]: Taking taylor expansion of 2/3 in x 2.830 * [backup-simplify]: Simplify 2/3 into 2/3 2.830 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3)) in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.830 * [taylor]: Taking taylor expansion of x in x 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (* 1 1) into 1 2.831 * [backup-simplify]: Simplify (/ 1 1) into 1 2.831 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in x 2.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in x 2.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in x 2.831 * [taylor]: Taking taylor expansion of 1/3 in x 2.831 * [backup-simplify]: Simplify 1/3 into 1/3 2.831 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in x 2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.831 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.831 * [taylor]: Taking taylor expansion of y in x 2.831 * [backup-simplify]: Simplify y into y 2.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.832 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.832 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.832 * [backup-simplify]: Simplify (log (/ 1 (pow y 4))) into (log (/ 1 (pow y 4))) 2.832 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 4)))) into (* 1/3 (log (/ 1 (pow y 4)))) 2.832 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 4))))) into (pow (/ 1 (pow y 4)) 1/3) 2.832 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.833 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 1) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 4))))) into 0 2.835 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.836 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 2) into 0 2.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 4)))))) into 0 2.840 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 4)) 1/3)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 4)) 1/3))) into 0 2.847 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 4)) 1/3)) into (pow (/ 1 (pow y 4)) 1/3) 2.848 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 4)) 1/3)))) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.849 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 2) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 4)))))) into 0 2.854 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.860 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.861 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 2.864 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* (pow y -1/3) 0) (+ (* 0 (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3)))) (+ (* (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) 0) (* 0 (pow y -1/3))))) into 0 2.866 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow y 2)) 1/3) 0) (+ (* 0 (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))) (+ (* (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))))) into 0 2.866 * [taylor]: Taking taylor expansion of 0 in x 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 y) 4)) 1/3) into (pow (pow y 4) 1/3) 2.867 * [backup-simplify]: Simplify (pow (sqrt (cbrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) (+ 3 1)) into (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) 2.867 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in (y x) around 0 2.867 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in x 2.867 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in x 2.867 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.867 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.867 * [taylor]: Taking taylor expansion of 1/6 in x 2.867 * [backup-simplify]: Simplify 1/6 into 1/6 2.867 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.867 * [taylor]: Taking taylor expansion of x in x 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (/ 1 1) into 1 2.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.868 * [taylor]: Taking taylor expansion of y in x 2.868 * [backup-simplify]: Simplify y into y 2.868 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.868 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.868 * [backup-simplify]: Simplify (+ 1 0) into 1 2.868 * [backup-simplify]: Simplify (log 1) into 0 2.869 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.869 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x)) 2.869 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 2.869 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in y 2.869 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.869 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.869 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.869 * [taylor]: Taking taylor expansion of 1/6 in y 2.869 * [backup-simplify]: Simplify 1/6 into 1/6 2.869 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.869 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.869 * [taylor]: Taking taylor expansion of x in y 2.869 * [backup-simplify]: Simplify x into x 2.869 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.869 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.869 * [taylor]: Taking taylor expansion of y in y 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify (* 1 1) into 1 2.870 * [backup-simplify]: Simplify (/ 1 1) into 1 2.870 * [backup-simplify]: Simplify (+ 0 1) into 1 2.870 * [backup-simplify]: Simplify (log 1) into 0 2.871 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.871 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.871 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.871 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) 4) in y 2.871 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/6) in y 2.871 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.871 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.871 * [taylor]: Taking taylor expansion of 1/6 in y 2.871 * [backup-simplify]: Simplify 1/6 into 1/6 2.871 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.871 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.871 * [taylor]: Taking taylor expansion of x in y 2.871 * [backup-simplify]: Simplify x into x 2.871 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.871 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.871 * [taylor]: Taking taylor expansion of y in y 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [backup-simplify]: Simplify (+ 0 1) into 1 2.872 * [backup-simplify]: Simplify (log 1) into 0 2.872 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.872 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 2.873 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 2.873 * [backup-simplify]: Simplify (* (pow y -1/3) (pow y -1/3)) into (pow (/ 1 (pow y 2)) 1/3) 2.873 * [backup-simplify]: Simplify (* (pow (/ 1 (pow y 2)) 1/3) (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 4)) 1/3) 2.873 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in x 2.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in x 2.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in x 2.873 * [taylor]: Taking taylor expansion of 1/3 in x 2.873 * [backup-simplify]: Simplify 1/3 into 1/3 2.873 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in x 2.873 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.873 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.873 * [taylor]: Taking taylor expansion of y in x 2.873 * [backup-simplify]: Simplify y into y 2.873 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.873 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.873 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.874 * [backup-simplify]: Simplify (log (/ 1 (pow y 4))) into (log (/ 1 (pow y 4))) 2.874 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 4)))) into (* 1/3 (log (/ 1 (pow y 4)))) 2.874 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 4))))) into (pow (/ 1 (pow y 4)) 1/3) 2.874 * [backup-simplify]: Simplify (pow (/ 1 (pow y 4)) 1/3) into (pow (/ 1 (pow y 4)) 1/3) 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.877 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.877 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log y))))) into 0 2.878 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.878 * [backup-simplify]: Simplify (+ (* (pow y -1/3) 0) (* 0 (pow y -1/3))) into 0 2.878 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow y 2)) 1/3) 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0 2.878 * [taylor]: Taking taylor expansion of 0 in x 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.879 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 1) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 4))))) into 0 2.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow x 2)) 2.885 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.886 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (* 1/6 (/ 1 (pow x 2))) 2.887 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) 2.888 * [backup-simplify]: Simplify (+ (* (pow y -1/3) (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (pow y -1/3)))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 2.890 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow y 2)) 1/3) (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))) (+ (* 0 0) (* (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) (pow (/ 1 (pow y 2)) 1/3)))) into (* 2/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3))) 2.890 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3))) in x 2.890 * [taylor]: Taking taylor expansion of 2/3 in x 2.890 * [backup-simplify]: Simplify 2/3 into 2/3 2.890 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3)) in x 2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (/ 1 1) into 1 2.891 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in x 2.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in x 2.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in x 2.891 * [taylor]: Taking taylor expansion of 1/3 in x 2.891 * [backup-simplify]: Simplify 1/3 into 1/3 2.891 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.891 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.891 * [taylor]: Taking taylor expansion of y in x 2.891 * [backup-simplify]: Simplify y into y 2.891 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.891 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.891 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.892 * [backup-simplify]: Simplify (log (/ 1 (pow y 4))) into (log (/ 1 (pow y 4))) 2.892 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 4)))) into (* 1/3 (log (/ 1 (pow y 4)))) 2.892 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 4))))) into (pow (/ 1 (pow y 4)) 1/3) 2.892 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.892 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 1) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 4))))) into 0 2.894 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.895 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 2) into 0 2.905 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 4)))))) into 0 2.906 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 4)) 1/3)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 4)) 1/3))) into 0 2.911 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 4)) 1/3)) into (pow (/ 1 (pow y 4)) 1/3) 2.912 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 4)) 1/3)))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.913 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 4)) 1)))) 2) into 0 2.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 4)))))) into 0 2.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.924 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.925 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 2.926 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ (* (pow y -1/3) 0) (+ (* 0 (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3)))) (+ (* (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) 0) (* 0 (pow y -1/3))))) into 0 2.927 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow y 2)) 1/3) 0) (+ (* 0 (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))) (+ (* (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))))) into 0 2.928 * [taylor]: Taking taylor expansion of 0 in x 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- y)) 4)) 1/3) into (pow (pow y 4) 1/3) 2.928 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.928 * [backup-simplify]: Simplify (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 2.928 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (y x) around 0 2.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.929 * [taylor]: Taking taylor expansion of y in x 2.929 * [backup-simplify]: Simplify y into y 2.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.929 * [taylor]: Taking taylor expansion of x in y 2.929 * [backup-simplify]: Simplify x into x 2.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.929 * [taylor]: Taking taylor expansion of y in y 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.929 * [taylor]: Taking taylor expansion of x in y 2.929 * [backup-simplify]: Simplify x into x 2.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.929 * [taylor]: Taking taylor expansion of y in y 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.929 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [taylor]: Taking taylor expansion of 0 in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.930 * [backup-simplify]: Simplify (* 1 1) into 1 2.930 * [backup-simplify]: Simplify (+ 0 1) into 1 2.930 * [taylor]: Taking taylor expansion of 1 in x 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify (* 1 1) into 1 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [taylor]: Taking taylor expansion of 0 in x 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.934 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [taylor]: Taking taylor expansion of 0 in x 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 2.936 * [backup-simplify]: Simplify (* (pow (pow (sqrt (cbrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) (+ 3 1)) 1) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.936 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (y x) around 0 2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (* 1 1) into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.937 * [taylor]: Taking taylor expansion of y in x 2.937 * [backup-simplify]: Simplify y into y 2.937 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.937 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.937 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.937 * [taylor]: Taking taylor expansion of x in y 2.937 * [backup-simplify]: Simplify x into x 2.937 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.937 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.937 * [taylor]: Taking taylor expansion of y in y 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (* 1 1) into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.938 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.938 * [taylor]: Taking taylor expansion of x in y 2.938 * [backup-simplify]: Simplify x into x 2.938 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.938 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.938 * [taylor]: Taking taylor expansion of y in y 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (* 1 1) into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [backup-simplify]: Simplify (+ 0 1) into 1 2.940 * [taylor]: Taking taylor expansion of 1 in x 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [taylor]: Taking taylor expansion of 0 in x 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.943 * [taylor]: Taking taylor expansion of x in x 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (* 1 1) into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [taylor]: Taking taylor expansion of 0 in x 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [taylor]: Taking taylor expansion of 0 in x 2.951 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.954 * [backup-simplify]: Simplify (* (pow (pow (sqrt (cbrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) (+ 3 1)) 1) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.954 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (y x) around 0 2.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.954 * [taylor]: Taking taylor expansion of x in x 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (* 1 1) into 1 2.955 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [backup-simplify]: Simplify y into y 2.955 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.955 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.955 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.956 * [taylor]: Taking taylor expansion of x in y 2.956 * [backup-simplify]: Simplify x into x 2.956 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.956 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.956 * [taylor]: Taking taylor expansion of y in y 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (* 1 1) into 1 2.957 * [backup-simplify]: Simplify (/ 1 1) into 1 2.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.957 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.957 * [taylor]: Taking taylor expansion of x in y 2.957 * [backup-simplify]: Simplify x into x 2.957 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.957 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.957 * [taylor]: Taking taylor expansion of y in y 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [backup-simplify]: Simplify (+ 0 1) into 1 2.958 * [taylor]: Taking taylor expansion of 1 in x 2.958 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [taylor]: Taking taylor expansion of 0 in x 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (* 1 1) into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [taylor]: Taking taylor expansion of 0 in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [taylor]: Taking taylor expansion of 0 in x 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.972 * * * [progress]: simplifying candidates 2.975 * [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))) (* 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y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (sqrt (cbrt (+ (* x x) (* y y))))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) 1) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) 1) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (cbrt (sqrt (cbrt (+ (* y y) (* x x))))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (cbrt (+ (* y y) (* x x))))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (sqrt (+ (* y y) (* x x))))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (cbrt (+ (* y y) (* x x))))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (sqrt (cbrt (+ (* y y) (* x x))))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (sqrt (cbrt (+ (* y y) (* x x))))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (cbrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (sqrt (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (/ (+ 3 1) 2)) 1) (cbrt (+ (* x x) (* y y)))) (* (cbrt (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1)) (cbrt (+ (* x x) (* y y)))) (* (sqrt (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1)) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) (/ 1 2)) (cbrt (+ (* x x) (* y y)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* 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 x 2/3) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2)))) (pow (/ 1 y) -2/3) (pow (/ -1 y) -2/3) (+ (* 2/3 (* (pow (/ 1 (pow x 2)) 1/3) (pow y 2))) (pow x 4/3)) (pow (pow y 4) 1/3) (pow (pow y 4) 1/3) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.979 * * [simplify]: Extracting # 0 : cost 0 2.979 * * [simplify]: Extracting # 1 : cost 0 2.979 * * [simplify]: Extracting # 2 : cost 0 2.979 * * [simplify]: Extracting # 3 : cost 0 2.980 * * [simplify]: Extracting # 4 : cost 0 2.980 * * [simplify]: Extracting # 5 : cost 0 2.980 * * [simplify]: Extracting # 6 : cost 0 2.980 * * [simplify]: Extracting # 7 : cost 0 2.981 * * [simplify]: Extracting # 8 : cost 0 2.981 * * [simplify]: Extracting # 9 : cost 0 2.981 * * [simplify]: Extracting # 10 : cost 0 2.982 * * [simplify]: iteration 0 : 201 enodes (cost 2922 ) 3.108 * * [simplify]: Extracting # 0 : cost 0 3.108 * * [simplify]: Extracting # 1 : cost 0 3.109 * * [simplify]: Extracting # 2 : cost 0 3.110 * * [simplify]: Extracting # 3 : cost 0 3.110 * * [simplify]: Extracting # 4 : cost 0 3.111 * * [simplify]: iteration 1 : 579 enodes (cost 2407 ) 3.600 * * [simplify]: Extracting # 0 : cost 0 3.603 * * [simplify]: Extracting # 1 : cost 0 3.606 * * [simplify]: Extracting # 2 : cost 0 3.610 * * [simplify]: Extracting # 3 : cost 0 3.613 * * [simplify]: Extracting # 4 : cost 0 3.616 * * [simplify]: Extracting # 5 : cost 0 3.619 * * [simplify]: iteration 2 : 2623 enodes (cost 1910 ) 4.529 * * [simplify]: Extracting # 0 : cost 0 4.543 * * [simplify]: Extracting # 1 : cost 0 4.550 * * [simplify]: Extracting # 2 : cost 0 4.556 * * [simplify]: Extracting # 3 : cost 0 4.563 * * [simplify]: iteration done: 5000 enodes (cost 1738 ) 4.564 * [simplify]: Simplified to: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (pow (cbrt (+ (* x x) (* y y))) 2)) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) 1 (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow x 6) (pow y 6))) (cbrt (+ (- (pow x 4) (* (* y y) (* x x))) (pow y 4))) (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (* x x) (* y y))) (pow (fabs (cbrt (cbrt (+ (* y y) (* x x))))) 2) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* y y) (* x x)) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (pow (cbrt (+ (* x x) (* y y))) 2)) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) 1 (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow x 6) (pow y 6))) (cbrt (+ (- (pow x 4) (* (* y y) (* x x))) (pow y 4))) (cbrt (- (pow y 4) (pow x 4))) (cbrt (- (* y y) (* x x))) (pow (fabs (cbrt (cbrt (+ (* y y) (* x x))))) 2) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* y y) (* x x)) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt 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(cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* y y) (* x x))) (pow (fabs (cbrt (cbrt (+ (* y y) (* x x))))) 2)) (* (cbrt (+ (* x x) (* y y))) (pow (sqrt (cbrt (sqrt (+ (* y y) (* x x))))) 4)) (+ (* y y) (* x x)) (* (cbrt (+ (* y y) (* x x))) (pow (fabs (cbrt (cbrt (+ (* y y) (* x x))))) 2)) (pow (cbrt (+ (* y y) (* x x))) 2) (+ (* y y) (* x x)) (pow (cbrt (+ (* y y) (* x x))) 2) (+ (* y y) (* x x)) (* (cbrt (+ (* y y) (* x x))) (cbrt (pow (cbrt (+ (* y y) (* x x))) 2))) (* (fabs (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* x x) (* y y)))) (+ (* y y) (* x x)) (pow (cbrt (+ (* y y) (* x x))) 2) (* (cbrt (+ (* y y) (* x x))) (cbrt (pow (cbrt (+ (* y y) (* x x))) 2))) (* (fabs (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* x x) (* y y)))) (+ (* y y) (* x x)) (* (fabs (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* x x) (* y y)))) (* (pow (cbrt (+ (* x x) (* y y))) 2) (cbrt (+ (pow x 6) (pow y 6)))) (* (cbrt (- (pow x 4) (pow y 4))) (pow (cbrt (+ (* x x) (* y y))) 2)) (+ (pow y 2/3) (* 1/3 (* (* x x) (cbrt (/ 1 (pow y 4)))))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow x 2/3) (* (* (cbrt (/ 1 (pow x 4))) (* y y)) 1/3)) (pow (/ 1 y) -2/3) (pow (/ -1 y) -2/3) (+ (pow x 4/3) (* 2/3 (* (* y y) (cbrt (/ 1 (pow x 2)))))) (cbrt (pow y 4)) (cbrt (pow y 4)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 4.570 * * * [progress]: adding candidates to table 5.035 * [progress]: [Phase 3 of 3] Extracting. 5.035 * * [regime]: Finding splitpoints for: (# # #) 5.036 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 5.036 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 5.049 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 5.065 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 5.084 * * * * [regimes]: Trying to branch on y from (# # #) 5.104 * * * * [regimes]: Trying to branch on x from (# # #) 5.124 * * * [regime]: Found split indices: #