12.518 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: iteration done: 6 enodes (cost 7 ) 0.026 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.041 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [backup-simplify]: Simplify x into x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [backup-simplify]: Simplify y into y 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [backup-simplify]: Simplify y into y 0.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.042 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.042 * [backup-simplify]: Simplify (+ 0 0) into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.043 * [backup-simplify]: Simplify (+ 1 0) into 1 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.044 * [backup-simplify]: Simplify (+ 0 0) into 0 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.047 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.047 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* 1 1) into 1 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.048 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify (/ 1 1) into 1 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.049 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.050 * [backup-simplify]: Simplify (+ 1 0) into 1 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.059 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.059 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [backup-simplify]: Simplify x into x 0.059 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 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 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 0.060 * [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 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [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 0.062 * [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 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [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 0.065 * [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 0.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.066 * [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 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [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 0.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.069 * [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 0.070 * [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 0.071 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.071 * * * [progress]: simplifying candidates 0.071 * [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)) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: Extracting # 1 : cost 0 0.071 * * [simplify]: Extracting # 2 : cost 0 0.071 * * [simplify]: Extracting # 3 : cost 0 0.071 * * [simplify]: Extracting # 4 : cost 0 0.071 * * [simplify]: Extracting # 5 : cost 0 0.071 * * [simplify]: Extracting # 6 : cost 0 0.072 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.085 * * [simplify]: Extracting # 0 : cost 0 0.085 * * [simplify]: Extracting # 1 : cost 0 0.085 * * [simplify]: Extracting # 2 : cost 0 0.085 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: Extracting # 4 : cost 0 0.086 * * [simplify]: iteration 1 : 100 enodes (cost 161 ) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.133 * * [simplify]: Extracting # 1 : cost 0 0.133 * * [simplify]: Extracting # 2 : cost 0 0.134 * * [simplify]: Extracting # 3 : cost 0 0.134 * * [simplify]: Extracting # 4 : cost 0 0.134 * * [simplify]: iteration 2 : 291 enodes (cost 131 ) 0.250 * * [simplify]: Extracting # 0 : cost 0 0.251 * * [simplify]: Extracting # 1 : cost 0 0.251 * * [simplify]: Extracting # 2 : cost 0 0.252 * * [simplify]: Extracting # 3 : cost 0 0.252 * * [simplify]: iteration 3 : 694 enodes (cost 131 ) 0.602 * * [simplify]: Extracting # 0 : cost 0 0.604 * * [simplify]: Extracting # 1 : cost 0 0.606 * * [simplify]: Extracting # 2 : cost 0 0.607 * * [simplify]: Extracting # 3 : cost 0 0.609 * * [simplify]: Extracting # 4 : cost 0 0.610 * * [simplify]: iteration 4 : 1837 enodes (cost 131 ) 1.661 * * [simplify]: Extracting # 0 : cost 0 1.682 * * [simplify]: Extracting # 1 : cost 0 1.693 * * [simplify]: Extracting # 2 : cost 0 1.704 * * [simplify]: Extracting # 3 : cost 0 1.713 * * [simplify]: Extracting # 4 : cost 0 1.722 * * [simplify]: iteration done: 5000 enodes (cost 131 ) 1.723 * [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)) (+ (* (* y y) (- (* y y) (* x x))) (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)) 1.723 * * * [progress]: adding candidates to table 1.771 * * [progress]: iteration 2 / 4 1.771 * * * [progress]: picking best candidate 1.777 * * * * [pick]: Picked # 1.777 * * * [progress]: localizing error 1.796 * * * [progress]: generating rewritten candidates 1.796 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.813 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.894 * * * [progress]: generating series expansions 1.894 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.894 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.894 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.894 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.894 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [backup-simplify]: Simplify x into x 1.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.894 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.895 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.895 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.895 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [backup-simplify]: Simplify y into y 1.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.896 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.896 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.896 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.896 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.896 * [taylor]: Taking taylor expansion of y in x 1.896 * [backup-simplify]: Simplify y into y 1.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.896 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.896 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.896 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.897 * [taylor]: Taking taylor expansion of y in y 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [taylor]: Taking taylor expansion of 0 in y 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.898 * [backup-simplify]: Simplify (+ 1 0) into 1 1.898 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.898 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.898 * [taylor]: Taking taylor expansion of 1/2 in y 1.898 * [backup-simplify]: Simplify 1/2 into 1/2 1.898 * [taylor]: Taking taylor expansion of y in y 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.901 * [taylor]: Taking taylor expansion of 0 in y 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.901 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.901 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.902 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.902 * [taylor]: Taking taylor expansion of x in y 1.902 * [backup-simplify]: Simplify x into x 1.902 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.902 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.902 * [taylor]: Taking taylor expansion of y in y 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (/ 1 1) into 1 1.903 * [backup-simplify]: Simplify (+ 0 1) into 1 1.903 * [backup-simplify]: Simplify (sqrt 1) into 1 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* 1 1) into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.907 * [taylor]: Taking taylor expansion of y in x 1.907 * [backup-simplify]: Simplify y into y 1.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.907 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.908 * [backup-simplify]: Simplify (+ 1 0) into 1 1.908 * [backup-simplify]: Simplify (sqrt 1) into 1 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.910 * [taylor]: Taking taylor expansion of x in x 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.911 * [taylor]: Taking taylor expansion of y in x 1.911 * [backup-simplify]: Simplify y into y 1.911 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.911 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.911 * [backup-simplify]: Simplify (+ 1 0) into 1 1.912 * [backup-simplify]: Simplify (sqrt 1) into 1 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.913 * [taylor]: Taking taylor expansion of 1 in y 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [taylor]: Taking taylor expansion of 0 in y 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.916 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.916 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.916 * [taylor]: Taking taylor expansion of 1/2 in y 1.916 * [backup-simplify]: Simplify 1/2 into 1/2 1.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.916 * [taylor]: Taking taylor expansion of y in y 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (* 1 1) into 1 1.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.919 * [taylor]: Taking taylor expansion of 0 in y 1.919 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.921 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.921 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.921 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.921 * [taylor]: Taking taylor expansion of x in y 1.921 * [backup-simplify]: Simplify x into x 1.921 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (* 1 1) into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.922 * [backup-simplify]: Simplify (+ 0 1) into 1 1.922 * [backup-simplify]: Simplify (sqrt 1) into 1 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.924 * [taylor]: Taking taylor expansion of y in x 1.924 * [backup-simplify]: Simplify y into y 1.924 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.925 * [backup-simplify]: Simplify (+ 1 0) into 1 1.925 * [backup-simplify]: Simplify (sqrt 1) into 1 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (/ 1 1) into 1 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.927 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.927 * [backup-simplify]: Simplify y into y 1.928 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.928 * [backup-simplify]: Simplify (+ 1 0) into 1 1.929 * [backup-simplify]: Simplify (sqrt 1) into 1 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.931 * [taylor]: Taking taylor expansion of 1 in y 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of 0 in y 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.934 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.934 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.934 * [taylor]: Taking taylor expansion of 1/2 in y 1.934 * [backup-simplify]: Simplify 1/2 into 1/2 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.939 * [taylor]: Taking taylor expansion of 0 in y 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.941 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.942 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.942 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.942 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.942 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.942 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.942 * [taylor]: Taking taylor expansion of x in y 1.942 * [backup-simplify]: Simplify x into x 1.942 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.942 * [taylor]: Taking taylor expansion of y in y 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.942 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.942 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.942 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.943 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.943 * [taylor]: Taking taylor expansion of y in x 1.943 * [backup-simplify]: Simplify y into y 1.943 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.943 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.943 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.943 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.944 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.944 * [taylor]: Taking taylor expansion of y in x 1.944 * [backup-simplify]: Simplify y into y 1.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.944 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.944 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.945 * [taylor]: Taking taylor expansion of y in y 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [taylor]: Taking taylor expansion of 0 in y 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (* 1 1) into 1 1.946 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.947 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.947 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.947 * [taylor]: Taking taylor expansion of 1/2 in y 1.947 * [backup-simplify]: Simplify 1/2 into 1/2 1.947 * [taylor]: Taking taylor expansion of y in y 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in y 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.952 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.952 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.952 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.952 * [taylor]: Taking taylor expansion of x in y 1.952 * [backup-simplify]: Simplify x into x 1.952 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.952 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.952 * [taylor]: Taking taylor expansion of y in y 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (* 1 1) into 1 1.953 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [backup-simplify]: Simplify (+ 0 1) into 1 1.953 * [backup-simplify]: Simplify (sqrt 1) into 1 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.957 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.957 * [taylor]: Taking taylor expansion of y in x 1.957 * [backup-simplify]: Simplify y into y 1.957 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.957 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.957 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (sqrt 1) into 1 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.965 * [taylor]: Taking taylor expansion of y in x 1.965 * [backup-simplify]: Simplify y into y 1.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.965 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.966 * [backup-simplify]: Simplify (+ 1 0) into 1 1.966 * [backup-simplify]: Simplify (sqrt 1) into 1 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.968 * [taylor]: Taking taylor expansion of 1 in y 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of 0 in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.972 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.972 * [taylor]: Taking taylor expansion of 1/2 in y 1.972 * [backup-simplify]: Simplify 1/2 into 1/2 1.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.972 * [taylor]: Taking taylor expansion of y in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.977 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.980 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.980 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.981 * [taylor]: Taking taylor expansion of x in y 1.981 * [backup-simplify]: Simplify x into x 1.981 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.981 * [taylor]: Taking taylor expansion of y in y 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (+ 0 1) into 1 1.983 * [backup-simplify]: Simplify (sqrt 1) into 1 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (* 1 1) into 1 1.986 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.986 * [taylor]: Taking taylor expansion of y in x 1.986 * [backup-simplify]: Simplify y into y 1.986 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.986 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.986 * [backup-simplify]: Simplify (+ 1 0) into 1 1.987 * [backup-simplify]: Simplify (sqrt 1) into 1 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [backup-simplify]: Simplify y into y 1.990 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.990 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.991 * [backup-simplify]: Simplify (+ 1 0) into 1 1.991 * [backup-simplify]: Simplify (sqrt 1) into 1 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.993 * [taylor]: Taking taylor expansion of 1 in y 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of 0 in y 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.996 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.996 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.996 * [taylor]: Taking taylor expansion of 1/2 in y 1.996 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.997 * [taylor]: Taking taylor expansion of y in y 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.002 * [taylor]: Taking taylor expansion of 0 in y 2.002 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.004 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.004 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 2.004 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.004 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.004 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.004 * [taylor]: Taking taylor expansion of x in y 2.004 * [backup-simplify]: Simplify x into x 2.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.004 * [taylor]: Taking taylor expansion of y in y 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.005 * [backup-simplify]: Simplify y into y 2.005 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.005 * [backup-simplify]: Simplify y into y 2.005 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.005 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [taylor]: Taking taylor expansion of 0 in y 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.007 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.007 * [backup-simplify]: Simplify (+ 1 0) into 1 2.007 * [taylor]: Taking taylor expansion of 1 in y 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (* 1 1) into 1 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [taylor]: Taking taylor expansion of 0 in y 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 2.014 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.014 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.014 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.014 * [taylor]: Taking taylor expansion of x in y 2.014 * [backup-simplify]: Simplify x into x 2.014 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.014 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.014 * [taylor]: Taking taylor expansion of y in y 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (* 1 1) into 1 2.016 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.016 * [taylor]: Taking taylor expansion of y in x 2.016 * [backup-simplify]: Simplify y into y 2.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.016 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (* 1 1) into 1 2.017 * [backup-simplify]: Simplify (/ 1 1) into 1 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.017 * [taylor]: Taking taylor expansion of y in x 2.017 * [backup-simplify]: Simplify y into y 2.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.017 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.018 * [backup-simplify]: Simplify (+ 1 0) into 1 2.018 * [taylor]: Taking taylor expansion of 1 in y 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [taylor]: Taking taylor expansion of 0 in y 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.021 * [taylor]: Taking taylor expansion of y in y 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (* 1 1) into 1 2.022 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [taylor]: Taking taylor expansion of 0 in y 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [taylor]: Taking taylor expansion of 0 in y 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.032 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.032 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.032 * [taylor]: Taking taylor expansion of x in y 2.032 * [backup-simplify]: Simplify x into x 2.032 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.034 * [taylor]: Taking taylor expansion of y in x 2.034 * [backup-simplify]: Simplify y into y 2.034 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.036 * [backup-simplify]: Simplify y into y 2.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.036 * [backup-simplify]: Simplify (+ 1 0) into 1 2.036 * [taylor]: Taking taylor expansion of 1 in y 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [taylor]: Taking taylor expansion of 0 in y 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.040 * [taylor]: Taking taylor expansion of y in y 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (* 1 1) into 1 2.041 * [backup-simplify]: Simplify (/ 1 1) into 1 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [taylor]: Taking taylor expansion of 0 in y 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [taylor]: Taking taylor expansion of 0 in y 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.050 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.050 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 2.050 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.050 * [taylor]: Taking taylor expansion of x in y 2.050 * [backup-simplify]: Simplify x into x 2.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.050 * [taylor]: Taking taylor expansion of y in y 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.050 * [taylor]: Taking taylor expansion of y in x 2.050 * [backup-simplify]: Simplify y into y 2.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.051 * [taylor]: Taking taylor expansion of y in x 2.051 * [backup-simplify]: Simplify y into y 2.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.051 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.051 * [taylor]: Taking taylor expansion of y in y 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [taylor]: Taking taylor expansion of 0 in y 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.052 * [backup-simplify]: Simplify (+ 1 0) into 1 2.052 * [taylor]: Taking taylor expansion of 1 in y 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [taylor]: Taking taylor expansion of 0 in y 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [taylor]: Taking taylor expansion of 0 in y 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 2.056 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.056 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.056 * [taylor]: Taking taylor expansion of x in y 2.056 * [backup-simplify]: Simplify x into x 2.056 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.056 * [taylor]: Taking taylor expansion of y in y 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (/ 1 1) into 1 2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (/ 1 1) into 1 2.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.057 * [taylor]: Taking taylor expansion of y in x 2.057 * [backup-simplify]: Simplify y into y 2.057 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.057 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (* 1 1) into 1 2.058 * [backup-simplify]: Simplify (/ 1 1) into 1 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.058 * [taylor]: Taking taylor expansion of y in x 2.058 * [backup-simplify]: Simplify y into y 2.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.058 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.059 * [backup-simplify]: Simplify (+ 1 0) into 1 2.059 * [taylor]: Taking taylor expansion of 1 in y 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [taylor]: Taking taylor expansion of 0 in y 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.061 * [taylor]: Taking taylor expansion of y in y 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.061 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [taylor]: Taking taylor expansion of 0 in y 2.063 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in y 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.068 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.068 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.068 * [taylor]: Taking taylor expansion of x in y 2.068 * [backup-simplify]: Simplify x into x 2.068 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.068 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.068 * [taylor]: Taking taylor expansion of y in y 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.070 * [taylor]: Taking taylor expansion of y in x 2.070 * [backup-simplify]: Simplify y into y 2.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (* 1 1) into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.070 * [taylor]: Taking taylor expansion of y in x 2.070 * [backup-simplify]: Simplify y into y 2.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.071 * [backup-simplify]: Simplify (+ 1 0) into 1 2.071 * [taylor]: Taking taylor expansion of 1 in y 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [taylor]: Taking taylor expansion of 0 in y 2.072 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.073 * [taylor]: Taking taylor expansion of y in y 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in y 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [taylor]: Taking taylor expansion of 0 in y 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.081 * * * [progress]: simplifying candidates 2.083 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (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)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* 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)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.087 * * [simplify]: Extracting # 0 : cost 0 2.087 * * [simplify]: Extracting # 1 : cost 0 2.087 * * [simplify]: Extracting # 2 : cost 0 2.087 * * [simplify]: Extracting # 3 : cost 0 2.088 * * [simplify]: Extracting # 4 : cost 0 2.088 * * [simplify]: Extracting # 5 : cost 0 2.088 * * [simplify]: Extracting # 6 : cost 0 2.088 * * [simplify]: iteration 0 : 92 enodes (cost 1982 ) 2.124 * * [simplify]: Extracting # 0 : cost 0 2.125 * * [simplify]: Extracting # 1 : cost 0 2.126 * * [simplify]: Extracting # 2 : cost 0 2.126 * * [simplify]: Extracting # 3 : cost 0 2.126 * * [simplify]: Extracting # 4 : cost 0 2.126 * * [simplify]: Extracting # 5 : cost 0 2.126 * * [simplify]: iteration 1 : 191 enodes (cost 1397 ) 2.191 * * [simplify]: Extracting # 0 : cost 0 2.192 * * [simplify]: Extracting # 1 : cost 0 2.192 * * [simplify]: Extracting # 2 : cost 0 2.193 * * [simplify]: Extracting # 3 : cost 0 2.193 * * [simplify]: Extracting # 4 : cost 0 2.193 * * [simplify]: Extracting # 5 : cost 0 2.194 * * [simplify]: iteration 2 : 550 enodes (cost 1177 ) 2.533 * * [simplify]: Extracting # 0 : cost 0 2.535 * * [simplify]: Extracting # 1 : cost 0 2.537 * * [simplify]: Extracting # 2 : cost 0 2.538 * * [simplify]: Extracting # 3 : cost 0 2.540 * * [simplify]: Extracting # 4 : cost 0 2.541 * * [simplify]: iteration 3 : 1718 enodes (cost 1138 ) 3.891 * * [simplify]: Extracting # 0 : cost 0 3.899 * * [simplify]: Extracting # 1 : cost 0 3.912 * * [simplify]: Extracting # 2 : cost 0 3.919 * * [simplify]: Extracting # 3 : cost 0 3.926 * * [simplify]: Extracting # 4 : cost 0 3.933 * * [simplify]: Extracting # 5 : cost 0 3.940 * * [simplify]: iteration done: 5001 enodes (cost 1110 ) 3.941 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ y x) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ y x) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (* (+ y x) (- x y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (* (+ y x) (- x y)) y x (- x) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 3.942 * * * [progress]: adding candidates to table 4.183 * * [progress]: iteration 3 / 4 4.183 * * * [progress]: picking best candidate 4.189 * * * * [pick]: Picked # 4.189 * * * [progress]: localizing error 4.224 * * * [progress]: generating rewritten candidates 4.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.363 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 4.515 * * * [progress]: generating series expansions 4.515 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.516 * [backup-simplify]: Simplify (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) into (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) 4.516 * [approximate]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in (y x) around 0 4.516 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 4.516 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 4.516 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.516 * [taylor]: Taking taylor expansion of x in x 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.516 * [taylor]: Taking taylor expansion of y in x 4.516 * [backup-simplify]: Simplify y into y 4.516 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 4.516 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 4.516 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.516 * [taylor]: Taking taylor expansion of y in x 4.516 * [backup-simplify]: Simplify y into y 4.516 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.516 * [taylor]: Taking taylor expansion of x in x 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.516 * [taylor]: Taking taylor expansion of x in x 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.516 * [taylor]: Taking taylor expansion of y in x 4.516 * [backup-simplify]: Simplify y into y 4.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.517 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.517 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.517 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 4.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.517 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.517 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.517 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.518 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 4.518 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.518 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.518 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.518 * [taylor]: Taking taylor expansion of x in y 4.518 * [backup-simplify]: Simplify x into x 4.518 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.518 * [taylor]: Taking taylor expansion of y in y 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 1 into 1 4.518 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.518 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.518 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.518 * [taylor]: Taking taylor expansion of y in y 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 1 into 1 4.518 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.518 * [taylor]: Taking taylor expansion of x in y 4.518 * [backup-simplify]: Simplify x into x 4.518 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.518 * [taylor]: Taking taylor expansion of x in y 4.518 * [backup-simplify]: Simplify x into x 4.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.518 * [taylor]: Taking taylor expansion of y in y 4.520 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.521 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.521 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.521 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.521 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.521 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.521 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.521 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.522 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.522 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.522 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.522 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.522 * [taylor]: Taking taylor expansion of x in y 4.522 * [backup-simplify]: Simplify x into x 4.522 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.522 * [taylor]: Taking taylor expansion of y in y 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.522 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.522 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.522 * [taylor]: Taking taylor expansion of y in y 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.522 * [taylor]: Taking taylor expansion of x in y 4.522 * [backup-simplify]: Simplify x into x 4.522 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.522 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.522 * [taylor]: Taking taylor expansion of x in y 4.522 * [backup-simplify]: Simplify x into x 4.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.522 * [taylor]: Taking taylor expansion of y in y 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.522 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.522 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.523 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.523 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.523 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.523 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.523 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.523 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.523 * [taylor]: Taking taylor expansion of x in x 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.524 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 4.524 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 4.524 * [backup-simplify]: Simplify (+ 0 0) into 0 4.524 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.525 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.525 * [backup-simplify]: Simplify (+ 0 0) into 0 4.525 * [backup-simplify]: Simplify (+ 0 0) into 0 4.526 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 4.526 * [taylor]: Taking taylor expansion of 0 in x 4.526 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.526 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.527 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (* 0 (pow x 3)))) into 0 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.528 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.529 * [backup-simplify]: Simplify (* 1 1) into 1 4.529 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.529 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 4.529 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 4.530 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 1 4.530 * [taylor]: Taking taylor expansion of 1 in x 4.530 * [backup-simplify]: Simplify 1 into 1 4.530 * [backup-simplify]: Simplify 1 into 1 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (* 1 1) into 1 4.530 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.531 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.532 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3))))) into 0 4.533 * [backup-simplify]: Simplify (+ 0 0) into 0 4.533 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.534 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.534 * [backup-simplify]: Simplify (+ 0 0) into 0 4.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.535 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.535 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.535 * [backup-simplify]: Simplify (- 0) into 0 4.536 * [backup-simplify]: Simplify (+ 0 0) into 0 4.536 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))) (* 0 (/ (- (pow x 2)) (pow x 4))) (* 1 (/ 0 (pow x 4))))) into 0 4.536 * [taylor]: Taking taylor expansion of 0 in x 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.539 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 4.540 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3)))))) into 0 4.540 * [backup-simplify]: Simplify (+ 0 0) into 0 4.541 * [backup-simplify]: Simplify (* 1 1) into 1 4.541 * [backup-simplify]: Simplify (* 1 1) into 1 4.542 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.543 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 4.543 * [backup-simplify]: Simplify (+ 1 0) into 1 4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.544 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.545 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 4.545 * [backup-simplify]: Simplify (- 0) into 0 4.545 * [backup-simplify]: Simplify (+ 1 0) into 1 4.546 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 1 (pow x 4))) (* 0 (/ 0 (pow x 4))) (* 1 (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 4.546 * [taylor]: Taking taylor expansion of 0 in x 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 4.547 * [backup-simplify]: Simplify (/ (+ (pow (/ 1 y) 6) (pow (/ 1 x) 6)) (+ (* (* (/ 1 y) (/ 1 y)) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (pow (/ 1 x) 4))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) 4.547 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 4.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.547 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.547 * [taylor]: Taking taylor expansion of y in x 4.547 * [backup-simplify]: Simplify y into y 4.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.548 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.548 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.548 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.548 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.548 * [taylor]: Taking taylor expansion of x in x 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.548 * [backup-simplify]: Simplify (* 1 1) into 1 4.549 * [backup-simplify]: Simplify (* 1 1) into 1 4.549 * [backup-simplify]: Simplify (* 1 1) into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.549 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.549 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.549 * [taylor]: Taking taylor expansion of x in x 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (* 1 1) into 1 4.550 * [backup-simplify]: Simplify (* 1 1) into 1 4.550 * [backup-simplify]: Simplify (/ 1 1) into 1 4.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.550 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.550 * [taylor]: Taking taylor expansion of y in x 4.550 * [backup-simplify]: Simplify y into y 4.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.551 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.551 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.551 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.551 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.551 * [taylor]: Taking taylor expansion of x in x 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 1 into 1 4.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.551 * [taylor]: Taking taylor expansion of y in x 4.551 * [backup-simplify]: Simplify y into y 4.551 * [backup-simplify]: Simplify (* 1 1) into 1 4.551 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.551 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.551 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.552 * [backup-simplify]: Simplify (+ 0 1) into 1 4.552 * [backup-simplify]: Simplify (+ 1 0) into 1 4.553 * [backup-simplify]: Simplify (+ 1 0) into 1 4.553 * [backup-simplify]: Simplify (/ 1 1) into 1 4.553 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.553 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.553 * [taylor]: Taking taylor expansion of y in y 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (* 1 1) into 1 4.554 * [backup-simplify]: Simplify (* 1 1) into 1 4.554 * [backup-simplify]: Simplify (* 1 1) into 1 4.554 * [backup-simplify]: Simplify (/ 1 1) into 1 4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.554 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.555 * [taylor]: Taking taylor expansion of x in y 4.555 * [backup-simplify]: Simplify x into x 4.555 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.555 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.555 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.555 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.555 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.555 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.555 * [taylor]: Taking taylor expansion of x in y 4.555 * [backup-simplify]: Simplify x into x 4.555 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.555 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.555 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.555 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.556 * [taylor]: Taking taylor expansion of y in y 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify (* 1 1) into 1 4.556 * [backup-simplify]: Simplify (* 1 1) into 1 4.557 * [backup-simplify]: Simplify (/ 1 1) into 1 4.557 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.557 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.557 * [taylor]: Taking taylor expansion of x in y 4.557 * [backup-simplify]: Simplify x into x 4.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.557 * [taylor]: Taking taylor expansion of y in y 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 1 into 1 4.557 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.557 * [backup-simplify]: Simplify (* 1 1) into 1 4.557 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.557 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.558 * [backup-simplify]: Simplify (+ 1 0) into 1 4.558 * [backup-simplify]: Simplify (+ 0 1) into 1 4.558 * [backup-simplify]: Simplify (+ 1 0) into 1 4.559 * [backup-simplify]: Simplify (/ 1 1) into 1 4.559 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.559 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.559 * [taylor]: Taking taylor expansion of y in y 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.559 * [backup-simplify]: Simplify (* 1 1) into 1 4.559 * [backup-simplify]: Simplify (* 1 1) into 1 4.560 * [backup-simplify]: Simplify (* 1 1) into 1 4.560 * [backup-simplify]: Simplify (/ 1 1) into 1 4.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.560 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.560 * [taylor]: Taking taylor expansion of x in y 4.560 * [backup-simplify]: Simplify x into x 4.560 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.560 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.560 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.560 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.560 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.561 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.561 * [taylor]: Taking taylor expansion of x in y 4.561 * [backup-simplify]: Simplify x into x 4.561 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.561 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.561 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.561 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.561 * [taylor]: Taking taylor expansion of y in y 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [backup-simplify]: Simplify (* 1 1) into 1 4.562 * [backup-simplify]: Simplify (* 1 1) into 1 4.562 * [backup-simplify]: Simplify (/ 1 1) into 1 4.562 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.562 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.562 * [taylor]: Taking taylor expansion of x in y 4.562 * [backup-simplify]: Simplify x into x 4.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.562 * [taylor]: Taking taylor expansion of y in y 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.562 * [backup-simplify]: Simplify (* 1 1) into 1 4.563 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.563 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.563 * [backup-simplify]: Simplify (+ 1 0) into 1 4.563 * [backup-simplify]: Simplify (+ 0 1) into 1 4.564 * [backup-simplify]: Simplify (+ 1 0) into 1 4.564 * [backup-simplify]: Simplify (/ 1 1) into 1 4.564 * [taylor]: Taking taylor expansion of 1 in x 4.564 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (+ 0 0) into 0 4.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.568 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.569 * [taylor]: Taking taylor expansion of 0 in x 4.569 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ 0 0) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ 0 0) into 0 4.575 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.575 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify (* 1 1) into 1 4.577 * [backup-simplify]: Simplify (/ 1 1) into 1 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (+ 0 0) into 0 4.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.583 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.584 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.584 * [backup-simplify]: Simplify (- 0) into 0 4.584 * [backup-simplify]: Simplify (+ 0 0) into 0 4.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.586 * [taylor]: Taking taylor expansion of 0 in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.593 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.594 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.595 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 4.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.596 * [backup-simplify]: Simplify (- 0) into 0 4.596 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 4.597 * [taylor]: Taking taylor expansion of 0 in x 4.597 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.600 * [backup-simplify]: Simplify (/ (+ (pow (/ 1 (- y)) 6) (pow (/ 1 (- x)) 6)) (+ (* (* (/ 1 (- y)) (/ 1 (- y))) (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (pow (/ 1 (- x)) 4))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) 4.600 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 4.600 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.600 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.600 * [taylor]: Taking taylor expansion of y in x 4.600 * [backup-simplify]: Simplify y into y 4.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.600 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.601 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.601 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.601 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.601 * [taylor]: Taking taylor expansion of x in x 4.601 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify 1 into 1 4.601 * [backup-simplify]: Simplify (* 1 1) into 1 4.601 * [backup-simplify]: Simplify (* 1 1) into 1 4.602 * [backup-simplify]: Simplify (* 1 1) into 1 4.602 * [backup-simplify]: Simplify (/ 1 1) into 1 4.602 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.602 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.602 * [taylor]: Taking taylor expansion of x in x 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.603 * [backup-simplify]: Simplify (* 1 1) into 1 4.603 * [backup-simplify]: Simplify (* 1 1) into 1 4.603 * [backup-simplify]: Simplify (/ 1 1) into 1 4.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.603 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.603 * [taylor]: Taking taylor expansion of y in x 4.603 * [backup-simplify]: Simplify y into y 4.604 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.604 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.604 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.604 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.604 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.604 * [taylor]: Taking taylor expansion of x in x 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 1 into 1 4.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.604 * [taylor]: Taking taylor expansion of y in x 4.604 * [backup-simplify]: Simplify y into y 4.604 * [backup-simplify]: Simplify (* 1 1) into 1 4.604 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.604 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.605 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.605 * [backup-simplify]: Simplify (+ 0 1) into 1 4.605 * [backup-simplify]: Simplify (+ 1 0) into 1 4.606 * [backup-simplify]: Simplify (+ 1 0) into 1 4.606 * [backup-simplify]: Simplify (/ 1 1) into 1 4.606 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.606 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.606 * [taylor]: Taking taylor expansion of y in y 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.607 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.607 * [taylor]: Taking taylor expansion of x in y 4.607 * [backup-simplify]: Simplify x into x 4.607 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.607 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.608 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.608 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.608 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.608 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.608 * [taylor]: Taking taylor expansion of x in y 4.608 * [backup-simplify]: Simplify x into x 4.608 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.608 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.608 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.608 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.608 * [taylor]: Taking taylor expansion of y in y 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (* 1 1) into 1 4.609 * [backup-simplify]: Simplify (* 1 1) into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.609 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.609 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.609 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.609 * [taylor]: Taking taylor expansion of x in y 4.609 * [backup-simplify]: Simplify x into x 4.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.609 * [taylor]: Taking taylor expansion of y in y 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.610 * [backup-simplify]: Simplify (* 1 1) into 1 4.610 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.610 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.610 * [backup-simplify]: Simplify (+ 1 0) into 1 4.611 * [backup-simplify]: Simplify (+ 0 1) into 1 4.611 * [backup-simplify]: Simplify (+ 1 0) into 1 4.611 * [backup-simplify]: Simplify (/ 1 1) into 1 4.611 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.612 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.612 * [taylor]: Taking taylor expansion of y in y 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [backup-simplify]: Simplify (* 1 1) into 1 4.612 * [backup-simplify]: Simplify (* 1 1) into 1 4.613 * [backup-simplify]: Simplify (* 1 1) into 1 4.613 * [backup-simplify]: Simplify (/ 1 1) into 1 4.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.613 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.613 * [taylor]: Taking taylor expansion of x in y 4.613 * [backup-simplify]: Simplify x into x 4.613 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.613 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.613 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.613 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.613 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.613 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.613 * [taylor]: Taking taylor expansion of x in y 4.614 * [backup-simplify]: Simplify x into x 4.614 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.614 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.614 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.614 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.614 * [taylor]: Taking taylor expansion of y in y 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [backup-simplify]: Simplify (* 1 1) into 1 4.615 * [backup-simplify]: Simplify (* 1 1) into 1 4.615 * [backup-simplify]: Simplify (/ 1 1) into 1 4.615 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.615 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.615 * [taylor]: Taking taylor expansion of x in y 4.615 * [backup-simplify]: Simplify x into x 4.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.615 * [taylor]: Taking taylor expansion of y in y 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.615 * [backup-simplify]: Simplify (* 1 1) into 1 4.615 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.616 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.616 * [backup-simplify]: Simplify (+ 1 0) into 1 4.616 * [backup-simplify]: Simplify (+ 0 1) into 1 4.617 * [backup-simplify]: Simplify (+ 1 0) into 1 4.617 * [backup-simplify]: Simplify (/ 1 1) into 1 4.617 * [taylor]: Taking taylor expansion of 1 in x 4.617 * [backup-simplify]: Simplify 1 into 1 4.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.619 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ 0 0) into 0 4.621 * [backup-simplify]: Simplify (+ 0 0) into 0 4.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.621 * [taylor]: Taking taylor expansion of 0 in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify (+ 0 0) into 0 4.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ 0 0) into 0 4.627 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.627 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (* 1 1) into 1 4.629 * [backup-simplify]: Simplify (/ 1 1) into 1 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [backup-simplify]: Simplify 1 into 1 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.636 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.637 * [backup-simplify]: Simplify (- 0) into 0 4.642 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.644 * [taylor]: Taking taylor expansion of 0 in x 4.644 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ 0 0) into 0 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.653 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.654 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.654 * [backup-simplify]: Simplify (- 0) into 0 4.654 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 4.656 * [taylor]: Taking taylor expansion of 0 in x 4.656 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.658 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.659 * [backup-simplify]: Simplify (sqrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) into (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) 4.659 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in (y x) around 0 4.659 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in x 4.659 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 4.659 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 4.659 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.659 * [taylor]: Taking taylor expansion of y in x 4.659 * [backup-simplify]: Simplify y into y 4.659 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 4.659 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 4.659 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.659 * [taylor]: Taking taylor expansion of y in x 4.659 * [backup-simplify]: Simplify y into y 4.659 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.659 * [taylor]: Taking taylor expansion of y in x 4.659 * [backup-simplify]: Simplify y into y 4.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.660 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.660 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.660 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 4.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.660 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.660 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.660 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.661 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 4.661 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.661 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.661 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 4.661 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (* 0 (pow y 3))) into 0 4.661 * [backup-simplify]: Simplify (+ 0 0) into 0 4.661 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.662 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 4.662 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [backup-simplify]: Simplify (+ 0 0) into 0 4.663 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (pow y 2) (/ 0 (pow y 4))))) into 0 4.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.663 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in y 4.663 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.663 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.663 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.663 * [taylor]: Taking taylor expansion of x in y 4.663 * [backup-simplify]: Simplify x into x 4.663 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.663 * [taylor]: Taking taylor expansion of y in y 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 1 into 1 4.663 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.663 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.663 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.663 * [taylor]: Taking taylor expansion of y in y 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 1 into 1 4.663 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.663 * [taylor]: Taking taylor expansion of x in y 4.663 * [backup-simplify]: Simplify x into x 4.663 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.663 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.663 * [taylor]: Taking taylor expansion of x in y 4.663 * [backup-simplify]: Simplify x into x 4.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.663 * [taylor]: Taking taylor expansion of y in y 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.663 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.664 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.664 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.664 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.664 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.664 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.664 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.664 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.665 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.665 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.665 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 4.665 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 4.665 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.665 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 4.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.667 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in y 4.667 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.667 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.667 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.667 * [taylor]: Taking taylor expansion of x in y 4.667 * [backup-simplify]: Simplify x into x 4.667 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.667 * [taylor]: Taking taylor expansion of y in y 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.667 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.667 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.667 * [taylor]: Taking taylor expansion of y in y 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.667 * [taylor]: Taking taylor expansion of x in y 4.667 * [backup-simplify]: Simplify x into x 4.667 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.667 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.667 * [taylor]: Taking taylor expansion of x in y 4.667 * [backup-simplify]: Simplify x into x 4.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.667 * [taylor]: Taking taylor expansion of y in y 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.667 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.667 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.668 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.668 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.668 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.668 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.668 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.668 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.668 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.668 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.669 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 4.669 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 4.669 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.669 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.670 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 4.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.670 * [taylor]: Taking taylor expansion of x in x 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [taylor]: Taking taylor expansion of 0 in x 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.671 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.672 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (* 0 (pow x 3)))) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.672 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.673 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.673 * [backup-simplify]: Simplify (+ 0 0) into 0 4.673 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.674 * [backup-simplify]: Simplify (* 1 1) into 1 4.674 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.674 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 4.674 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 4.674 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 1 4.675 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 4.675 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.675 * [taylor]: Taking taylor expansion of 1/2 in x 4.675 * [backup-simplify]: Simplify 1/2 into 1/2 4.675 * [taylor]: Taking taylor expansion of x in x 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.678 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.678 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3))))) into 0 4.679 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.680 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.680 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.681 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.681 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.682 * [backup-simplify]: Simplify (- 0) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))) (* 0 (/ (- (pow x 2)) (pow x 4))) (* 1 (/ 0 (pow x 4))))) into 0 4.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 4.683 * [taylor]: Taking taylor expansion of 0 in x 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 4.684 * [backup-simplify]: Simplify (sqrt (/ (+ (pow (/ 1 y) 6) (pow (/ 1 x) 6)) (+ (* (* (/ 1 y) (/ 1 y)) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (pow (/ 1 x) 4)))) into (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) 4.684 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in (y x) around 0 4.685 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in x 4.685 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.685 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.685 * [taylor]: Taking taylor expansion of y in x 4.685 * [backup-simplify]: Simplify y into y 4.685 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.685 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.685 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.685 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.685 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.685 * [taylor]: Taking taylor expansion of x in x 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 1 into 1 4.686 * [backup-simplify]: Simplify (* 1 1) into 1 4.686 * [backup-simplify]: Simplify (* 1 1) into 1 4.686 * [backup-simplify]: Simplify (* 1 1) into 1 4.686 * [backup-simplify]: Simplify (/ 1 1) into 1 4.686 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.687 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.687 * [taylor]: Taking taylor expansion of x in x 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (* 1 1) into 1 4.687 * [backup-simplify]: Simplify (* 1 1) into 1 4.687 * [backup-simplify]: Simplify (/ 1 1) into 1 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.687 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.688 * [taylor]: Taking taylor expansion of y in x 4.688 * [backup-simplify]: Simplify y into y 4.688 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.688 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.688 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.688 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.688 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.688 * [taylor]: Taking taylor expansion of x in x 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.688 * [taylor]: Taking taylor expansion of y in x 4.688 * [backup-simplify]: Simplify y into y 4.688 * [backup-simplify]: Simplify (* 1 1) into 1 4.688 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.688 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.689 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.689 * [backup-simplify]: Simplify (+ 0 1) into 1 4.689 * [backup-simplify]: Simplify (+ 1 0) into 1 4.690 * [backup-simplify]: Simplify (+ 1 0) into 1 4.690 * [backup-simplify]: Simplify (/ 1 1) into 1 4.690 * [backup-simplify]: Simplify (sqrt 1) into 1 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ 0 0) into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ 0 0) into 0 4.695 * [backup-simplify]: Simplify (+ 0 0) into 0 4.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.696 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.696 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.696 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.696 * [taylor]: Taking taylor expansion of y in y 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (* 1 1) into 1 4.697 * [backup-simplify]: Simplify (* 1 1) into 1 4.697 * [backup-simplify]: Simplify (* 1 1) into 1 4.697 * [backup-simplify]: Simplify (/ 1 1) into 1 4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.697 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.697 * [taylor]: Taking taylor expansion of x in y 4.697 * [backup-simplify]: Simplify x into x 4.697 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.698 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.698 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.698 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.698 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.698 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.698 * [taylor]: Taking taylor expansion of x in y 4.698 * [backup-simplify]: Simplify x into x 4.698 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.698 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.698 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.698 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.698 * [taylor]: Taking taylor expansion of y in y 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.699 * [backup-simplify]: Simplify (* 1 1) into 1 4.699 * [backup-simplify]: Simplify (* 1 1) into 1 4.699 * [backup-simplify]: Simplify (/ 1 1) into 1 4.699 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.699 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.699 * [taylor]: Taking taylor expansion of x in y 4.699 * [backup-simplify]: Simplify x into x 4.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.699 * [taylor]: Taking taylor expansion of y in y 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.700 * [backup-simplify]: Simplify (* 1 1) into 1 4.700 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.700 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.700 * [backup-simplify]: Simplify (+ 1 0) into 1 4.701 * [backup-simplify]: Simplify (+ 0 1) into 1 4.701 * [backup-simplify]: Simplify (+ 1 0) into 1 4.701 * [backup-simplify]: Simplify (/ 1 1) into 1 4.702 * [backup-simplify]: Simplify (sqrt 1) into 1 4.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.704 * [backup-simplify]: Simplify (+ 0 0) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.707 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.708 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.708 * [taylor]: Taking taylor expansion of y in y 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (* 1 1) into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.709 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.709 * [taylor]: Taking taylor expansion of x in y 4.709 * [backup-simplify]: Simplify x into x 4.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.709 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.709 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.709 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.709 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.709 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.709 * [taylor]: Taking taylor expansion of x in y 4.709 * [backup-simplify]: Simplify x into x 4.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.710 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.710 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.710 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.710 * [taylor]: Taking taylor expansion of y in y 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (* 1 1) into 1 4.710 * [backup-simplify]: Simplify (* 1 1) into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.711 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.711 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.711 * [taylor]: Taking taylor expansion of x in y 4.711 * [backup-simplify]: Simplify x into x 4.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.711 * [taylor]: Taking taylor expansion of y in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.711 * [backup-simplify]: Simplify (* 1 1) into 1 4.711 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.712 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.712 * [backup-simplify]: Simplify (+ 1 0) into 1 4.712 * [backup-simplify]: Simplify (+ 0 1) into 1 4.713 * [backup-simplify]: Simplify (+ 1 0) into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [backup-simplify]: Simplify (sqrt 1) into 1 4.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.719 * [taylor]: Taking taylor expansion of 1 in x 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [taylor]: Taking taylor expansion of 0 in x 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (+ 0 0) into 0 4.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (+ 0 0) into 0 4.724 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.725 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.727 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 4.727 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.727 * [taylor]: Taking taylor expansion of 1/2 in x 4.727 * [backup-simplify]: Simplify 1/2 into 1/2 4.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.727 * [taylor]: Taking taylor expansion of x in x 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (* 1 1) into 1 4.727 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (+ 0 0) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.735 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.735 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.736 * [backup-simplify]: Simplify (- 0) into 0 4.736 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 4.738 * [taylor]: Taking taylor expansion of 0 in x 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 4.741 * [backup-simplify]: Simplify (sqrt (/ (+ (pow (/ 1 (- y)) 6) (pow (/ 1 (- x)) 6)) (+ (* (* (/ 1 (- y)) (/ 1 (- y))) (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (pow (/ 1 (- x)) 4)))) into (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) 4.741 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in (y x) around 0 4.741 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in x 4.741 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.741 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.741 * [taylor]: Taking taylor expansion of y in x 4.741 * [backup-simplify]: Simplify y into y 4.741 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.741 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.741 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.741 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.741 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.741 * [taylor]: Taking taylor expansion of x in x 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (* 1 1) into 1 4.742 * [backup-simplify]: Simplify (* 1 1) into 1 4.742 * [backup-simplify]: Simplify (* 1 1) into 1 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.743 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.743 * [taylor]: Taking taylor expansion of x in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify (* 1 1) into 1 4.743 * [backup-simplify]: Simplify (* 1 1) into 1 4.744 * [backup-simplify]: Simplify (/ 1 1) into 1 4.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.744 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.744 * [taylor]: Taking taylor expansion of y in x 4.744 * [backup-simplify]: Simplify y into y 4.744 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.744 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.744 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.744 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.744 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.744 * [taylor]: Taking taylor expansion of x in x 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.744 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.744 * [taylor]: Taking taylor expansion of y in x 4.744 * [backup-simplify]: Simplify y into y 4.745 * [backup-simplify]: Simplify (* 1 1) into 1 4.745 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.745 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.745 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.745 * [backup-simplify]: Simplify (+ 0 1) into 1 4.746 * [backup-simplify]: Simplify (+ 1 0) into 1 4.746 * [backup-simplify]: Simplify (+ 1 0) into 1 4.746 * [backup-simplify]: Simplify (/ 1 1) into 1 4.746 * [backup-simplify]: Simplify (sqrt 1) into 1 4.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (+ 0 0) into 0 4.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (+ 0 0) into 0 4.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.752 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.752 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.752 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.752 * [taylor]: Taking taylor expansion of y in y 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.753 * [backup-simplify]: Simplify (* 1 1) into 1 4.753 * [backup-simplify]: Simplify (* 1 1) into 1 4.753 * [backup-simplify]: Simplify (* 1 1) into 1 4.753 * [backup-simplify]: Simplify (/ 1 1) into 1 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.754 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.754 * [taylor]: Taking taylor expansion of x in y 4.754 * [backup-simplify]: Simplify x into x 4.754 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.754 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.754 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.754 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.754 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.754 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.754 * [taylor]: Taking taylor expansion of x in y 4.754 * [backup-simplify]: Simplify x into x 4.754 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.755 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.755 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.755 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.755 * [taylor]: Taking taylor expansion of y in y 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (* 1 1) into 1 4.756 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.756 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.756 * [taylor]: Taking taylor expansion of x in y 4.756 * [backup-simplify]: Simplify x into x 4.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.756 * [taylor]: Taking taylor expansion of y in y 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.756 * [backup-simplify]: Simplify (* 1 1) into 1 4.756 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.756 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.757 * [backup-simplify]: Simplify (+ 1 0) into 1 4.757 * [backup-simplify]: Simplify (+ 0 1) into 1 4.757 * [backup-simplify]: Simplify (+ 1 0) into 1 4.758 * [backup-simplify]: Simplify (/ 1 1) into 1 4.758 * [backup-simplify]: Simplify (sqrt 1) into 1 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (+ 0 0) into 0 4.767 * [backup-simplify]: Simplify (+ 0 0) into 0 4.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.768 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.769 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.769 * [taylor]: Taking taylor expansion of y in y 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify (* 1 1) into 1 4.769 * [backup-simplify]: Simplify (* 1 1) into 1 4.770 * [backup-simplify]: Simplify (* 1 1) into 1 4.770 * [backup-simplify]: Simplify (/ 1 1) into 1 4.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.770 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.770 * [taylor]: Taking taylor expansion of x in y 4.770 * [backup-simplify]: Simplify x into x 4.770 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.770 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.770 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.770 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.770 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.771 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.771 * [taylor]: Taking taylor expansion of x in y 4.771 * [backup-simplify]: Simplify x into x 4.771 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.771 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.771 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.771 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.771 * [taylor]: Taking taylor expansion of y in y 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (* 1 1) into 1 4.772 * [backup-simplify]: Simplify (* 1 1) into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.772 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.772 * [taylor]: Taking taylor expansion of x in y 4.772 * [backup-simplify]: Simplify x into x 4.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.772 * [taylor]: Taking taylor expansion of y in y 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.772 * [backup-simplify]: Simplify (* 1 1) into 1 4.773 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.773 * [backup-simplify]: Simplify (+ 1 0) into 1 4.773 * [backup-simplify]: Simplify (+ 0 1) into 1 4.774 * [backup-simplify]: Simplify (+ 1 0) into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.774 * [backup-simplify]: Simplify (sqrt 1) into 1 4.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.776 * [backup-simplify]: Simplify (+ 0 0) into 0 4.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.778 * [backup-simplify]: Simplify (+ 0 0) into 0 4.779 * [backup-simplify]: Simplify (+ 0 0) into 0 4.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.780 * [taylor]: Taking taylor expansion of 1 in x 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [taylor]: Taking taylor expansion of 0 in x 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.785 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.786 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 4.786 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.786 * [taylor]: Taking taylor expansion of 1/2 in x 4.786 * [backup-simplify]: Simplify 1/2 into 1/2 4.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.786 * [taylor]: Taking taylor expansion of x in x 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ 0 0) into 0 4.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.793 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.793 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.794 * [backup-simplify]: Simplify (- 0) into 0 4.794 * [backup-simplify]: Simplify (+ 0 0) into 0 4.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 4.796 * [taylor]: Taking taylor expansion of 0 in x 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 4.797 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.798 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 4.798 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 4.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 4.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.798 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.798 * [taylor]: Taking taylor expansion of x in y 4.798 * [backup-simplify]: Simplify x into x 4.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.798 * [taylor]: Taking taylor expansion of y in y 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.798 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.798 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.798 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.799 * [taylor]: Taking taylor expansion of x in x 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.799 * [taylor]: Taking taylor expansion of y in x 4.799 * [backup-simplify]: Simplify y into y 4.799 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.799 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.799 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.799 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.800 * [backup-simplify]: Simplify (+ 0 0) into 0 4.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.800 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.800 * [taylor]: Taking taylor expansion of x in x 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.800 * [taylor]: Taking taylor expansion of y in x 4.800 * [backup-simplify]: Simplify y into y 4.800 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.800 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.800 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.800 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.800 * [backup-simplify]: Simplify (+ 0 0) into 0 4.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.801 * [taylor]: Taking taylor expansion of y in y 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in y 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.801 * [backup-simplify]: Simplify (* 1 1) into 1 4.802 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.802 * [backup-simplify]: Simplify (+ 1 0) into 1 4.802 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.803 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.803 * [taylor]: Taking taylor expansion of 1/2 in y 4.803 * [backup-simplify]: Simplify 1/2 into 1/2 4.803 * [taylor]: Taking taylor expansion of y in y 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 1 into 1 4.803 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.805 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.805 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.806 * [taylor]: Taking taylor expansion of 0 in y 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.807 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.807 * [taylor]: Taking taylor expansion of x in y 4.807 * [backup-simplify]: Simplify x into x 4.807 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.807 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.807 * [taylor]: Taking taylor expansion of y in y 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (* 1 1) into 1 4.808 * [backup-simplify]: Simplify (/ 1 1) into 1 4.808 * [backup-simplify]: Simplify (+ 0 1) into 1 4.808 * [backup-simplify]: Simplify (sqrt 1) into 1 4.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.810 * [backup-simplify]: Simplify (+ 0 0) into 0 4.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.810 * [taylor]: Taking taylor expansion of x in x 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (* 1 1) into 1 4.811 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.811 * [taylor]: Taking taylor expansion of y in x 4.811 * [backup-simplify]: Simplify y into y 4.811 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.811 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.812 * [backup-simplify]: Simplify (+ 1 0) into 1 4.812 * [backup-simplify]: Simplify (sqrt 1) into 1 4.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.813 * [backup-simplify]: Simplify (+ 0 0) into 0 4.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.814 * [taylor]: Taking taylor expansion of x in x 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (* 1 1) into 1 4.815 * [backup-simplify]: Simplify (/ 1 1) into 1 4.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.815 * [taylor]: Taking taylor expansion of y in x 4.815 * [backup-simplify]: Simplify y into y 4.815 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.815 * [backup-simplify]: Simplify (+ 1 0) into 1 4.815 * [backup-simplify]: Simplify (sqrt 1) into 1 4.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.817 * [backup-simplify]: Simplify (+ 0 0) into 0 4.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.817 * [taylor]: Taking taylor expansion of 1 in y 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [taylor]: Taking taylor expansion of 0 in y 4.817 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.820 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.820 * [taylor]: Taking taylor expansion of 1/2 in y 4.820 * [backup-simplify]: Simplify 1/2 into 1/2 4.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.820 * [taylor]: Taking taylor expansion of y in y 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 1 into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.824 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.824 * [backup-simplify]: Simplify (+ 0 0) into 0 4.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.825 * [taylor]: Taking taylor expansion of 0 in y 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.827 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.827 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.827 * [taylor]: Taking taylor expansion of x in y 4.827 * [backup-simplify]: Simplify x into x 4.827 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.827 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.827 * [taylor]: Taking taylor expansion of y in y 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (* 1 1) into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [backup-simplify]: Simplify (+ 0 1) into 1 4.828 * [backup-simplify]: Simplify (sqrt 1) into 1 4.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.830 * [taylor]: Taking taylor expansion of x in x 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 1 into 1 4.831 * [backup-simplify]: Simplify (* 1 1) into 1 4.831 * [backup-simplify]: Simplify (/ 1 1) into 1 4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.831 * [taylor]: Taking taylor expansion of y in x 4.831 * [backup-simplify]: Simplify y into y 4.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.832 * [backup-simplify]: Simplify (+ 1 0) into 1 4.832 * [backup-simplify]: Simplify (sqrt 1) into 1 4.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (+ 0 0) into 0 4.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.834 * [taylor]: Taking taylor expansion of x in x 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify (* 1 1) into 1 4.834 * [backup-simplify]: Simplify (/ 1 1) into 1 4.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.835 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.835 * [taylor]: Taking taylor expansion of y in x 4.835 * [backup-simplify]: Simplify y into y 4.835 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.835 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.835 * [backup-simplify]: Simplify (+ 1 0) into 1 4.835 * [backup-simplify]: Simplify (sqrt 1) into 1 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.837 * [taylor]: Taking taylor expansion of 1 in y 4.837 * [backup-simplify]: Simplify 1 into 1 4.837 * [taylor]: Taking taylor expansion of 0 in y 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.840 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.840 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.840 * [taylor]: Taking taylor expansion of 1/2 in y 4.840 * [backup-simplify]: Simplify 1/2 into 1/2 4.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.840 * [taylor]: Taking taylor expansion of y in y 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (* 1 1) into 1 4.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.845 * [taylor]: Taking taylor expansion of 0 in y 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.846 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 4.846 * [backup-simplify]: Simplify (* (* y y) (- (* y y) (* x x))) into (* (- (pow y 2) (pow x 2)) (pow y 2)) 4.847 * [approximate]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in (y x) around 0 4.847 * [taylor]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in x 4.847 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.847 * [taylor]: Taking taylor expansion of y in x 4.847 * [backup-simplify]: Simplify y into y 4.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.847 * [taylor]: Taking taylor expansion of x in x 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.847 * [taylor]: Taking taylor expansion of y in x 4.847 * [backup-simplify]: Simplify y into y 4.847 * [taylor]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in y 4.847 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.847 * [taylor]: Taking taylor expansion of y in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.847 * [taylor]: Taking taylor expansion of x in y 4.847 * [backup-simplify]: Simplify x into x 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.847 * [taylor]: Taking taylor expansion of y in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in y 4.847 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.847 * [taylor]: Taking taylor expansion of y in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.847 * [taylor]: Taking taylor expansion of x in y 4.847 * [backup-simplify]: Simplify x into x 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.847 * [taylor]: Taking taylor expansion of y in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.848 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 4.848 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 4.848 * [backup-simplify]: Simplify (* 1 1) into 1 4.848 * [backup-simplify]: Simplify (* (- (pow x 2)) 1) into (* -1 (pow x 2)) 4.848 * [taylor]: Taking taylor expansion of (* -1 (pow x 2)) in x 4.848 * [taylor]: Taking taylor expansion of -1 in x 4.848 * [backup-simplify]: Simplify -1 into -1 4.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.848 * [taylor]: Taking taylor expansion of x in x 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.849 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.849 * [backup-simplify]: Simplify (- 0) into 0 4.849 * [backup-simplify]: Simplify (+ 0 0) into 0 4.850 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (* 0 1)) into 0 4.850 * [taylor]: Taking taylor expansion of 0 in x 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.851 * [backup-simplify]: Simplify (* 1 1) into 1 4.851 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.852 * [backup-simplify]: Simplify (- 0) into 0 4.852 * [backup-simplify]: Simplify (+ 1 0) into 1 4.853 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (+ (* 0 0) (* 1 1))) into 1 4.853 * [taylor]: Taking taylor expansion of 1 in x 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (* 1 1) into 1 4.853 * [backup-simplify]: Simplify (* -1 1) into -1 4.853 * [backup-simplify]: Simplify -1 into -1 4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.856 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.856 * [backup-simplify]: Simplify (- 0) into 0 4.856 * [backup-simplify]: Simplify (+ 0 0) into 0 4.857 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (+ (* 0 0) (+ (* 1 0) (* 0 1)))) into 0 4.857 * [taylor]: Taking taylor expansion of 0 in x 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.858 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.861 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.861 * [backup-simplify]: Simplify (- 0) into 0 4.861 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1))))) into 0 4.862 * [taylor]: Taking taylor expansion of 0 in x 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (+ (* -1 (pow (* x y) 2)) (* 1 (pow (* 1 y) 4))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 4.863 * [backup-simplify]: Simplify (* (* (/ 1 y) (/ 1 y)) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) 4.863 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in (y x) around 0 4.863 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in x 4.863 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.863 * [taylor]: Taking taylor expansion of y in x 4.863 * [backup-simplify]: Simplify y into y 4.863 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.863 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.863 * [taylor]: Taking taylor expansion of x in x 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (* 1 1) into 1 4.864 * [backup-simplify]: Simplify (/ 1 1) into 1 4.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.864 * [taylor]: Taking taylor expansion of y in x 4.864 * [backup-simplify]: Simplify y into y 4.864 * [backup-simplify]: Simplify (- 1) into -1 4.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.865 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.865 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 4.865 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.865 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.865 * [taylor]: Taking taylor expansion of y in y 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [backup-simplify]: Simplify (* 1 1) into 1 4.866 * [backup-simplify]: Simplify (/ 1 1) into 1 4.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.866 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.866 * [taylor]: Taking taylor expansion of x in y 4.866 * [backup-simplify]: Simplify x into x 4.866 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.866 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.866 * [taylor]: Taking taylor expansion of y in y 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 1 into 1 4.866 * [backup-simplify]: Simplify (+ 1 0) into 1 4.867 * [backup-simplify]: Simplify (* 1 1) into 1 4.867 * [backup-simplify]: Simplify (/ 1 1) into 1 4.867 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.867 * [taylor]: Taking taylor expansion of y in y 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.867 * [backup-simplify]: Simplify (* 1 1) into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.868 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.868 * [taylor]: Taking taylor expansion of x in y 4.868 * [backup-simplify]: Simplify x into x 4.868 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.868 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.868 * [taylor]: Taking taylor expansion of y in y 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (+ 1 0) into 1 4.869 * [backup-simplify]: Simplify (* 1 1) into 1 4.869 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [taylor]: Taking taylor expansion of 1 in x 4.869 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.870 * [backup-simplify]: Simplify (+ 0 0) into 0 4.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.872 * [taylor]: Taking taylor expansion of 0 in x 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.873 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.879 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.879 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.880 * [taylor]: Taking taylor expansion of x in x 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (* 1 1) into 1 4.880 * [backup-simplify]: Simplify (/ 1 1) into 1 4.881 * [backup-simplify]: Simplify (- 1) into -1 4.881 * [backup-simplify]: Simplify -1 into -1 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.882 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.883 * [backup-simplify]: Simplify (- 0) into 0 4.883 * [backup-simplify]: Simplify (+ 0 0) into 0 4.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 4.885 * [taylor]: Taking taylor expansion of 0 in x 4.885 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (- 0) into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.890 * [backup-simplify]: Simplify (- 0) into 0 4.890 * [backup-simplify]: Simplify (+ 0 0) into 0 4.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.893 * [taylor]: Taking taylor expansion of 0 in x 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (- 0) into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (* -1 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 4.895 * [backup-simplify]: Simplify (* (* (/ 1 (- y)) (/ 1 (- y))) (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) 4.895 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in (y x) around 0 4.895 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in x 4.895 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.895 * [taylor]: Taking taylor expansion of y in x 4.895 * [backup-simplify]: Simplify y into y 4.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.896 * [taylor]: Taking taylor expansion of x in x 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify (* 1 1) into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.896 * [taylor]: Taking taylor expansion of y in x 4.896 * [backup-simplify]: Simplify y into y 4.897 * [backup-simplify]: Simplify (- 1) into -1 4.897 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.897 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 4.897 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.897 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.897 * [taylor]: Taking taylor expansion of y in y 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (* 1 1) into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.898 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.898 * [taylor]: Taking taylor expansion of x in y 4.898 * [backup-simplify]: Simplify x into x 4.898 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.898 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.898 * [taylor]: Taking taylor expansion of y in y 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (+ 1 0) into 1 4.899 * [backup-simplify]: Simplify (* 1 1) into 1 4.899 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.899 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.899 * [taylor]: Taking taylor expansion of y in y 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.900 * [backup-simplify]: Simplify (* 1 1) into 1 4.900 * [backup-simplify]: Simplify (/ 1 1) into 1 4.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.900 * [taylor]: Taking taylor expansion of x in y 4.900 * [backup-simplify]: Simplify x into x 4.900 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.900 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.900 * [taylor]: Taking taylor expansion of y in y 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (+ 1 0) into 1 4.901 * [backup-simplify]: Simplify (* 1 1) into 1 4.901 * [backup-simplify]: Simplify (/ 1 1) into 1 4.901 * [taylor]: Taking taylor expansion of 1 in x 4.901 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ 0 0) into 0 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.904 * [taylor]: Taking taylor expansion of 0 in x 4.904 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.906 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.907 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.907 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.907 * [taylor]: Taking taylor expansion of x in x 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (* 1 1) into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [backup-simplify]: Simplify (- 1) into -1 4.908 * [backup-simplify]: Simplify -1 into -1 4.908 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.910 * [backup-simplify]: Simplify (- 0) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x 4.913 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.914 * [backup-simplify]: Simplify (- 0) into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.917 * [backup-simplify]: Simplify (- 0) into 0 4.917 * [backup-simplify]: Simplify (+ 0 0) into 0 4.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [taylor]: Taking taylor expansion of 0 in x 4.920 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (- 0) into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 4.922 * * * [progress]: simplifying candidates 4.924 * [simplify]: Simplifying: (- (log (+ (pow y 6) (pow x 6))) (log (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (log (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (exp (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (/ (* (* (+ (pow y 6) (pow x 6)) (+ (pow y 6) (pow x 6))) (+ (pow y 6) (pow x 6))) (* (* (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (* (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (cbrt (/ (+ (pow y 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(cbrt (* (* y y) (- (* y y) (* x x)))) (cbrt (* (* y y) (- (* y y) (* x x))))) (cbrt (* (* y y) (- (* y y) (* x x)))) (* (* (* (* y y) (- (* y y) (* x x))) (* (* y y) (- (* y y) (* x x)))) (* (* y y) (- (* y y) (* x x)))) (sqrt (* (* y y) (- (* y y) (* x x)))) (sqrt (* (* y y) (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (* (* y y) (* y y)) (* (* y y) (- (* x x))) (* (* y y) (* y y)) (* (* y y) (- (* x x))) (* (* y y) (* y y)) (* (- (* x x)) (* y y)) (* (* y y) (* y y)) (* (- (* x x)) (* y y)) (* (* y y) (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x))))) (* (* y y) (sqrt (- (* y y) (* x x)))) (* (* y y) 1) (* (* y y) (+ y x)) (* y (- (* y y) (* x x))) (* (* y y) (- (pow (* y y) 3) (pow (* x x) 3))) (* (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) y x (* -1 x) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) 4.928 * * [simplify]: Extracting # 0 : cost 0 4.929 * * [simplify]: Extracting # 1 : cost 0 4.929 * * [simplify]: Extracting # 2 : cost 0 4.929 * * [simplify]: Extracting # 3 : cost 0 4.929 * * [simplify]: Extracting # 4 : cost 0 4.930 * * [simplify]: Extracting # 5 : cost 0 4.930 * * [simplify]: Extracting # 6 : cost 0 4.930 * * [simplify]: Extracting # 7 : cost 0 4.931 * * [simplify]: iteration 0 : 193 enodes (cost 3446 ) 4.997 * * [simplify]: Extracting # 0 : cost 0 4.998 * * [simplify]: Extracting # 1 : cost 0 4.998 * * [simplify]: Extracting # 2 : cost 0 4.999 * * [simplify]: Extracting # 3 : cost 0 4.999 * * [simplify]: Extracting # 4 : cost 0 5.000 * * [simplify]: iteration 1 : 444 enodes (cost 3207 ) 5.222 * * [simplify]: Extracting # 0 : cost 0 5.225 * * [simplify]: Extracting # 1 : cost 0 5.228 * * [simplify]: Extracting # 2 : cost 0 5.230 * * [simplify]: Extracting # 3 : cost 0 5.232 * * [simplify]: Extracting # 4 : cost 0 5.234 * * [simplify]: iteration 2 : 1674 enodes (cost 3020 ) 5.954 * * [simplify]: Extracting # 0 : cost 0 5.961 * * [simplify]: Extracting # 1 : cost 0 5.970 * * [simplify]: Extracting # 2 : cost 0 5.978 * * [simplify]: Extracting # 3 : cost 0 5.986 * * [simplify]: Extracting # 4 : cost 0 5.998 * * [simplify]: iteration done: 5000 enodes (cost 3012 ) 6.000 * [simplify]: Simplified to: (log (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (log (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (exp (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (pow (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) 3) (* (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (pow (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x 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(- (* y y) (* x x)))) (sqrt (* (* y y) (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (pow y 4) (* (- (* x x)) (* y y)) (pow y 4) (* (- (* x x)) (* y y)) (pow y 4) (* (- (* x x)) (* y y)) (pow y 4) (* (- (* x x)) (* y y)) (* (* y y) (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x))))) (* (* y y) (sqrt (- (* y y) (* x x)))) (* y y) (* (* y y) (+ y x)) (- (pow y 3) (* (* x x) y)) (* (pow y 2) (- (pow y 6) (pow x 6))) (* (- (pow y 4) (pow x 4)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) x y (- y) y x (- x) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) 6.001 * * * [progress]: adding candidates to table 6.529 * [progress]: [Phase 3 of 3] Extracting. 6.529 * * [regime]: Finding splitpoints for: (# # #) 6.530 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 6.530 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 6.544 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 6.562 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 6.590 * * * * [regimes]: Trying to branch on y from (# # #) 6.605 * * * * [regimes]: Trying to branch on x from (# # #) 6.623 * * * [regime]: Found split indices: #