8.597 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.041 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.041 * * [simplify]: iteration 0: 5 enodes 0.042 * * [simplify]: iteration 1: 6 enodes 0.044 * * [simplify]: iteration complete: 6 enodes 0.044 * * [simplify]: Extracting #0: cost 1 inf + 0 0.044 * * [simplify]: Extracting #1: cost 3 inf + 0 0.044 * * [simplify]: Extracting #2: cost 5 inf + 0 0.044 * * [simplify]: Extracting #3: cost 2 inf + 43 0.044 * * [simplify]: Extracting #4: cost 0 inf + 206 0.044 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.077 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.077 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.078 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ 0 1) into 1 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.085 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 0.086 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ 0 1) into 1 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.099 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.099 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [backup-simplify]: Simplify x into x 0.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (+ 0 1) into 1 0.103 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.114 * * * [progress]: simplifying candidates 0.114 * * * * [progress]: [ 1 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 2 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 3 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 4 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 5 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 6 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 7 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 8 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 9 / 15 ] simplifiying candidate # 0.114 * * * * [progress]: [ 10 / 15 ] simplifiying candidate # 0.115 * * * * [progress]: [ 11 / 15 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))> 0.115 * * * * [progress]: [ 12 / 15 ] simplifiying candidate # 0.115 * * * * [progress]: [ 13 / 15 ] simplifiying candidate # 0.115 * * * * [progress]: [ 14 / 15 ] simplifiying candidate # 0.115 * * * * [progress]: [ 15 / 15 ] simplifiying candidate # 0.115 * [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)) (real->posit16 (+ (* x x) (* y y))) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.115 * * [simplify]: iteration 0: 31 enodes 0.125 * * [simplify]: iteration 1: 101 enodes 0.170 * * [simplify]: iteration 2: 348 enodes 0.629 * * [simplify]: iteration 3: 1510 enodes 0.989 * * [simplify]: iteration complete: 2000 enodes 0.989 * * [simplify]: Extracting #0: cost 12 inf + 0 0.989 * * [simplify]: Extracting #1: cost 84 inf + 0 0.995 * * [simplify]: Extracting #2: cost 509 inf + 1 0.999 * * [simplify]: Extracting #3: cost 472 inf + 14732 1.010 * * [simplify]: Extracting #4: cost 125 inf + 64116 1.025 * * [simplify]: Extracting #5: cost 8 inf + 81643 1.042 * * [simplify]: Extracting #6: cost 0 inf + 84852 1.058 * [simplify]: Simplified to: (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x)))) (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (+ x y) (- x y)) (real->posit16 (+ (* y y) (* x x))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.059 * * * [progress]: adding candidates to table 1.096 * * [progress]: iteration 2 / 4 1.096 * * * [progress]: picking best candidate 1.098 * * * * [pick]: Picked # 1.099 * * * [progress]: localizing error 1.115 * * * [progress]: generating rewritten candidates 1.115 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.167 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.274 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.284 * * * [progress]: generating series expansions 1.284 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.284 * [backup-simplify]: Simplify (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) into (+ (pow y 2) (pow x 2)) 1.284 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 1.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.284 * [taylor]: Taking taylor expansion of x in y 1.284 * [backup-simplify]: Simplify x into x 1.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.284 * [taylor]: Taking taylor expansion of y in x 1.284 * [backup-simplify]: Simplify y into y 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [backup-simplify]: Simplify y into y 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.285 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.285 * [taylor]: Taking taylor expansion of y in y 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [taylor]: Taking taylor expansion of 0 in y 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.286 * [backup-simplify]: Simplify (* 1 1) into 1 1.287 * [backup-simplify]: Simplify (+ 0 1) into 1 1.287 * [taylor]: Taking taylor expansion of 1 in y 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (* 1 1) into 1 1.287 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [taylor]: Taking taylor expansion of 0 in y 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [taylor]: Taking taylor expansion of 0 in y 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 1.291 * [backup-simplify]: Simplify (cbrt (* (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.291 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (* 1 1) into 1 1.291 * [backup-simplify]: Simplify (/ 1 1) into 1 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.291 * [taylor]: Taking taylor expansion of x in y 1.291 * [backup-simplify]: Simplify x into x 1.291 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.292 * [taylor]: Taking taylor expansion of y in x 1.292 * [backup-simplify]: Simplify y into y 1.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (* 1 1) into 1 1.292 * [backup-simplify]: Simplify (/ 1 1) into 1 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.292 * [taylor]: Taking taylor expansion of y in x 1.292 * [backup-simplify]: Simplify y into y 1.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (/ 1 1) into 1 1.293 * [backup-simplify]: Simplify (+ 0 1) into 1 1.293 * [taylor]: Taking taylor expansion of 1 in y 1.293 * [backup-simplify]: Simplify 1 into 1 1.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [taylor]: Taking taylor expansion of 0 in y 1.294 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.296 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (* 1 1) into 1 1.296 * [backup-simplify]: Simplify (/ 1 1) into 1 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.302 * [backup-simplify]: Simplify (cbrt (* (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.302 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.303 * [taylor]: Taking taylor expansion of x in y 1.303 * [backup-simplify]: Simplify x into x 1.303 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.303 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.303 * [taylor]: Taking taylor expansion of y in x 1.303 * [backup-simplify]: Simplify y into y 1.303 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (/ 1 1) into 1 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.304 * [taylor]: Taking taylor expansion of y in x 1.304 * [backup-simplify]: Simplify y into y 1.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (* 1 1) into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.305 * [backup-simplify]: Simplify (+ 0 1) into 1 1.305 * [taylor]: Taking taylor expansion of 1 in y 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [taylor]: Taking taylor expansion of 0 in y 1.306 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.307 * [taylor]: Taking taylor expansion of y in y 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.309 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [taylor]: Taking taylor expansion of 0 in y 1.309 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [taylor]: Taking taylor expansion of 0 in y 1.312 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.314 * [backup-simplify]: Simplify (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 2) 1.314 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in (x y) around 0 1.314 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in y 1.314 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.314 * [taylor]: Taking taylor expansion of x in y 1.314 * [backup-simplify]: Simplify x into x 1.314 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.314 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.314 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in x 1.314 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [backup-simplify]: Simplify y into y 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.314 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.314 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in x 1.314 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [backup-simplify]: Simplify y into y 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.314 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.315 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.315 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.315 * [taylor]: Taking taylor expansion of y in y 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.315 * [taylor]: Taking taylor expansion of 0 in y 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (+ 0 1) into 1 1.316 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 1.316 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.317 * [taylor]: Taking taylor expansion of 2 in y 1.317 * [backup-simplify]: Simplify 2 into 2 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.317 * [taylor]: Taking taylor expansion of y in y 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 1.318 * [taylor]: Taking taylor expansion of 0 in y 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow y 2)))))) into 1 1.321 * [taylor]: Taking taylor expansion of 1 in y 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.323 * [backup-simplify]: Simplify (* 2 1) into 2 1.323 * [backup-simplify]: Simplify 2 into 2 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (* 1 1) into 1 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 4)) (+ (* 2 (pow (* y x) 2)) (* 1 (pow (* 1 x) 4)))) into (+ (pow y 4) (+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))) 1.324 * [backup-simplify]: Simplify (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1.324 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in (x y) around 0 1.324 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in y 1.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.324 * [taylor]: Taking taylor expansion of y in y 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.325 * [backup-simplify]: Simplify (/ 1 1) into 1 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [backup-simplify]: Simplify x into x 1.325 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.325 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.325 * [backup-simplify]: Simplify (+ 1 0) into 1 1.325 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 1.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.325 * [taylor]: Taking taylor expansion of y in x 1.325 * [backup-simplify]: Simplify y into y 1.325 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.325 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (* 1 1) into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [backup-simplify]: Simplify (+ 0 1) into 1 1.326 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.326 * [taylor]: Taking taylor expansion of y in x 1.326 * [backup-simplify]: Simplify y into y 1.326 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.326 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [backup-simplify]: Simplify (+ 0 1) into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.327 * [taylor]: Taking taylor expansion of 1 in y 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.329 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.330 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 1.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.331 * [taylor]: Taking taylor expansion of 2 in y 1.331 * [backup-simplify]: Simplify 2 into 2 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.331 * [taylor]: Taking taylor expansion of y in y 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (* 1 1) into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.331 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.333 * [taylor]: Taking taylor expansion of 0 in y 1.333 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.336 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.336 * [taylor]: Taking taylor expansion of y in y 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (* 1 1) into 1 1.337 * [backup-simplify]: Simplify (* 1 1) into 1 1.337 * [backup-simplify]: Simplify (/ 1 1) into 1 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (* 2 1) into 2 1.337 * [backup-simplify]: Simplify 2 into 2 1.337 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 4)))) into (+ (pow y 4) (+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))) 1.338 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) 1.338 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in (x y) around 0 1.338 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in y 1.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.338 * [taylor]: Taking taylor expansion of y in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.339 * [backup-simplify]: Simplify (/ 1 1) into 1 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.339 * [taylor]: Taking taylor expansion of x in y 1.339 * [backup-simplify]: Simplify x into x 1.339 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.339 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.339 * [backup-simplify]: Simplify (+ 1 0) into 1 1.339 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.339 * [taylor]: Taking taylor expansion of y in x 1.339 * [backup-simplify]: Simplify y into y 1.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [backup-simplify]: Simplify (+ 0 1) into 1 1.340 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [backup-simplify]: Simplify y into y 1.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (* 1 1) into 1 1.341 * [backup-simplify]: Simplify (/ 1 1) into 1 1.341 * [backup-simplify]: Simplify (+ 0 1) into 1 1.341 * [backup-simplify]: Simplify (* 1 1) into 1 1.341 * [taylor]: Taking taylor expansion of 1 in y 1.341 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.343 * [taylor]: Taking taylor expansion of 0 in y 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.344 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 1.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.344 * [taylor]: Taking taylor expansion of 2 in y 1.344 * [backup-simplify]: Simplify 2 into 2 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.344 * [taylor]: Taking taylor expansion of y in y 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.345 * [backup-simplify]: Simplify (* 1 1) into 1 1.345 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in y 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.350 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.350 * [backup-simplify]: Simplify (* 1 1) into 1 1.350 * [backup-simplify]: Simplify (* 1 1) into 1 1.351 * [backup-simplify]: Simplify (/ 1 1) into 1 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* 2 1) into 2 1.351 * [backup-simplify]: Simplify 2 into 2 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 4)))) into (+ (pow y 4) (+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))) 1.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.352 * [backup-simplify]: Simplify (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 3) 1.352 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in (x y) around 0 1.352 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in y 1.352 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.352 * [taylor]: Taking taylor expansion of y in y 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.352 * [taylor]: Taking taylor expansion of x in y 1.352 * [backup-simplify]: Simplify x into x 1.352 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.352 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.352 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x 1.352 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.352 * [taylor]: Taking taylor expansion of y in x 1.352 * [backup-simplify]: Simplify y into y 1.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.352 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.352 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x 1.352 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.352 * [taylor]: Taking taylor expansion of y in x 1.352 * [backup-simplify]: Simplify y into y 1.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.353 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.353 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.353 * [backup-simplify]: Simplify (* (pow y 2) (pow y 4)) into (pow y 6) 1.353 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.353 * [taylor]: Taking taylor expansion of y in y 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 4))) into 0 1.353 * [taylor]: Taking taylor expansion of 0 in y 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (+ 0 1) into 1 1.355 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 1.355 * [backup-simplify]: Simplify (+ (* (pow y 2) (* 2 (pow y 2))) (+ (* 0 0) (* 1 (pow y 4)))) into (* 3 (pow y 4)) 1.355 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 1.355 * [taylor]: Taking taylor expansion of 3 in y 1.355 * [backup-simplify]: Simplify 3 into 3 1.355 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 (* 2 (pow y 2))) (+ (* 1 0) (* 0 (pow y 4))))) into 0 1.357 * [taylor]: Taking taylor expansion of 0 in y 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow y 2)))))) into 1 1.360 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (+ (* 1 (* 2 (pow y 2))) (+ (* 0 0) (* 0 (pow y 4)))))) into (* 3 (pow y 2)) 1.360 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.360 * [taylor]: Taking taylor expansion of 3 in y 1.360 * [backup-simplify]: Simplify 3 into 3 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.360 * [taylor]: Taking taylor expansion of y in y 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (* (* (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) 1.361 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0 1.361 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y 1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.361 * [taylor]: Taking taylor expansion of y in y 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (* 1 1) into 1 1.362 * [backup-simplify]: Simplify (/ 1 1) into 1 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.362 * [taylor]: Taking taylor expansion of x in y 1.362 * [backup-simplify]: Simplify x into x 1.362 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.362 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.362 * [backup-simplify]: Simplify (+ 1 0) into 1 1.362 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.362 * [taylor]: Taking taylor expansion of y in x 1.362 * [backup-simplify]: Simplify y into y 1.362 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.362 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (* 1 1) into 1 1.363 * [backup-simplify]: Simplify (/ 1 1) into 1 1.363 * [backup-simplify]: Simplify (+ 0 1) into 1 1.363 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.363 * [taylor]: Taking taylor expansion of y in x 1.363 * [backup-simplify]: Simplify y into y 1.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [backup-simplify]: Simplify (+ 0 1) into 1 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [taylor]: Taking taylor expansion of 1 in y 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify (+ 0 0) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.367 * [taylor]: Taking taylor expansion of 0 in y 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.368 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 1.369 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 1.369 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.369 * [taylor]: Taking taylor expansion of 3 in y 1.369 * [backup-simplify]: Simplify 3 into 3 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.369 * [taylor]: Taking taylor expansion of y in y 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.372 * [taylor]: Taking taylor expansion of 0 in y 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 1.376 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 4))) 1.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.376 * [taylor]: Taking taylor expansion of 3 in y 1.376 * [backup-simplify]: Simplify 3 into 3 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.376 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.376 * [taylor]: Taking taylor expansion of y in y 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (* 1 1) into 1 1.376 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 4))) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))))) into 0 1.381 * [taylor]: Taking taylor expansion of 0 in y 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))))) into (/ 1 (pow y 6)) 1.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.386 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.386 * [taylor]: Taking taylor expansion of y in y 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (* 1 1) into 1 1.386 * [backup-simplify]: Simplify (* 1 1) into 1 1.386 * [backup-simplify]: Simplify (* 1 1) into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (* 3 1) into 3 1.387 * [backup-simplify]: Simplify 3 into 3 1.387 * [backup-simplify]: Simplify (* 3 1) into 3 1.387 * [backup-simplify]: Simplify 3 into 3 1.388 * [backup-simplify]: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2)) 2)) (+ (* 3 (pow (* (pow (/ 1 y) -2) (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 6)))) into (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2))))) 1.388 * [backup-simplify]: Simplify (* (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) 1.388 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0 1.388 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* 1 1) into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.389 * [taylor]: Taking taylor expansion of x in y 1.389 * [backup-simplify]: Simplify x into x 1.389 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.389 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.389 * [backup-simplify]: Simplify (+ 1 0) into 1 1.389 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.389 * [taylor]: Taking taylor expansion of y in x 1.389 * [backup-simplify]: Simplify y into y 1.389 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (* 1 1) into 1 1.390 * [backup-simplify]: Simplify (/ 1 1) into 1 1.390 * [backup-simplify]: Simplify (+ 0 1) into 1 1.390 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.390 * [taylor]: Taking taylor expansion of y in x 1.390 * [backup-simplify]: Simplify y into y 1.390 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.390 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [backup-simplify]: Simplify (+ 0 1) into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [taylor]: Taking taylor expansion of 1 in y 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.394 * [taylor]: Taking taylor expansion of 0 in y 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.395 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 1.395 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 1.395 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.395 * [taylor]: Taking taylor expansion of 3 in y 1.395 * [backup-simplify]: Simplify 3 into 3 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 1.399 * [taylor]: Taking taylor expansion of 0 in y 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 1.402 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 4))) 1.402 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.403 * [taylor]: Taking taylor expansion of 3 in y 1.403 * [backup-simplify]: Simplify 3 into 3 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.403 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (* 1 1) into 1 1.403 * [backup-simplify]: Simplify (* 1 1) into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 4))) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))))) into 0 1.409 * [taylor]: Taking taylor expansion of 0 in y 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))))) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))))) into (/ 1 (pow y 6)) 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.414 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (* 3 1) into 3 1.415 * [backup-simplify]: Simplify 3 into 3 1.416 * [backup-simplify]: Simplify (* 3 1) into 3 1.416 * [backup-simplify]: Simplify 3 into 3 1.416 * [backup-simplify]: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2)) 2)) (+ (* 3 (pow (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 6)))) into (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2))))) 1.416 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.416 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 1.416 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 1.416 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [backup-simplify]: Simplify x into x 1.416 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [backup-simplify]: Simplify y into y 1.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.417 * [backup-simplify]: Simplify y into y 1.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.417 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [taylor]: Taking taylor expansion of 0 in y 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.418 * [backup-simplify]: Simplify (* 1 1) into 1 1.418 * [backup-simplify]: Simplify (+ 0 1) into 1 1.418 * [taylor]: Taking taylor expansion of 1 in y 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (* 1 1) into 1 1.418 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [taylor]: Taking taylor expansion of 0 in y 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 1.422 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.422 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (/ 1 1) into 1 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.422 * [taylor]: Taking taylor expansion of x in y 1.422 * [backup-simplify]: Simplify x into x 1.422 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.423 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [backup-simplify]: Simplify y into y 1.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* 1 1) into 1 1.423 * [backup-simplify]: Simplify (/ 1 1) into 1 1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [backup-simplify]: Simplify y into y 1.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (/ 1 1) into 1 1.424 * [backup-simplify]: Simplify (+ 0 1) into 1 1.424 * [taylor]: Taking taylor expansion of 1 in y 1.424 * [backup-simplify]: Simplify 1 into 1 1.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [taylor]: Taking taylor expansion of 0 in y 1.425 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.427 * [taylor]: Taking taylor expansion of y in y 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.427 * [backup-simplify]: Simplify (/ 1 1) into 1 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [taylor]: Taking taylor expansion of 0 in y 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [taylor]: Taking taylor expansion of 0 in y 1.431 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.433 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.433 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (* 1 1) into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.433 * [taylor]: Taking taylor expansion of x in y 1.434 * [backup-simplify]: Simplify x into x 1.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.434 * [taylor]: Taking taylor expansion of y in x 1.434 * [backup-simplify]: Simplify y into y 1.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.434 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (* 1 1) into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.434 * [taylor]: Taking taylor expansion of y in x 1.434 * [backup-simplify]: Simplify y into y 1.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.434 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (* 1 1) into 1 1.435 * [backup-simplify]: Simplify (/ 1 1) into 1 1.435 * [backup-simplify]: Simplify (+ 0 1) into 1 1.435 * [taylor]: Taking taylor expansion of 1 in y 1.435 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.438 * [taylor]: Taking taylor expansion of y in y 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.438 * [backup-simplify]: Simplify (/ 1 1) into 1 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [taylor]: Taking taylor expansion of 0 in y 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in y 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.444 * * * [progress]: simplifying candidates 1.444 * * * * [progress]: [ 1 / 154 ] simplifiying candidate # 1.444 * * * * [progress]: [ 2 / 154 ] simplifiying candidate # 1.444 * * * * [progress]: [ 3 / 154 ] simplifiying candidate # 1.444 * * * * 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35 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 36 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 37 / 154 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))> 1.446 * * * * [progress]: [ 38 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 39 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 40 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 41 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 42 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 43 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 44 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 45 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 46 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 47 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 48 / 154 ] simplifiying candidate # 1.446 * * * * [progress]: [ 49 / 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simplifiying candidate # 1.450 * * * * [progress]: [ 140 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 141 / 154 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))))> 1.450 * * * * [progress]: [ 142 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 143 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 144 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 145 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 146 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 147 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 148 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 149 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 150 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 151 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 152 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 153 / 154 ] simplifiying candidate # 1.450 * * * * [progress]: [ 154 / 154 ] simplifiying candidate # 1.452 * [simplify]: Simplifying: (log (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (exp (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (cbrt (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (* (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (* (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (* (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (pow (* x x) 3) (pow (* y y) 3))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (* (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (- (* x x) (* y y)))) (cbrt (* (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (* (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* x x) (* y y))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (* (* (+ (pow (* x x) 3) (pow (* y y) 3)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (* (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* x x) (* y y))) (- (* x x) (* y y)))) (cbrt (* (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (* (* (- (* x x) (* y y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (* (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (* (* (- (* x x) (* y y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (- (* x x) (* y y)))) (cbrt (* (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (* (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (cbrt (* (* (+ (* x x) (* y y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (* (* (+ (* x x) (* y y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* x x) (* y y)))) (cbrt (* (* (+ (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (* (- (* x x) (* y y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (* (* (+ (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (* (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (* (* (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* x x) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* x x) (* y y)))) (cbrt (* (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y))) (+ (pow (* x x) 3) 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x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) y) (* (* y y) y))) (+ (* (+ (* y y) (* x y)) (- (* y y) (* x y))) (* (* x x) (* x x))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (+ (* (* y y) (* y y)) (* 2 (* (* x y) (* x y)))) (* (* x x) (* x x))) (+ (+ (* (* y y) (* y y)) (* 2 (* (* x y) (* x y)))) (* (* x x) (* x x))) (+ (+ (* (* y y) (* y y)) (* 2 (* (* x y) (* x y)))) (* (* x x) (* x x))) 0 (+ (+ (* 3 (* (* x x) (* (* y y) (* y y)))) (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* x x) (* x x)) (* y y)))) (+ (+ (* 3 (* (* x x) (* (* y y) (* y y)))) (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* x x) (* x x)) (* y y)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 1.971 * * * [progress]: adding candidates to table 2.414 * [progress]: [Phase 3 of 3] Extracting. 2.414 * * [regime]: Finding splitpoints for: (# #) 2.415 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 2.415 * * * * [regimes]: Trying to branch on (* y y) from (# #) 2.438 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.455 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 2.476 * * * * [regimes]: Trying to branch on y from (# #) 2.500 * * * * [regimes]: Trying to branch on x from (# #) 2.526 * * * [regime]: Found split indices: #