70.327 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.039 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.039 * * [simplify]: iteration 0: 5 enodes 0.040 * * [simplify]: iteration 1: 6 enodes 0.041 * * [simplify]: iteration complete: 6 enodes 0.041 * * [simplify]: Extracting #0: cost 1 inf + 0 0.041 * * [simplify]: Extracting #1: cost 3 inf + 0 0.041 * * [simplify]: Extracting #2: cost 5 inf + 0 0.041 * * [simplify]: Extracting #3: cost 2 inf + 43 0.042 * * [simplify]: Extracting #4: cost 0 inf + 206 0.042 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.059 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.059 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [backup-simplify]: Simplify x into x 0.060 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.060 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.069 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.075 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.075 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.076 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (+ 0 1) into 1 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.088 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.088 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.101 * * * [progress]: simplifying candidates 0.101 * * * * [progress]: [ 1 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 2 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 3 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 4 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 5 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 6 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 7 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 8 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 9 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 10 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 11 / 15 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))> 0.101 * * * * [progress]: [ 12 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 13 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 14 / 15 ] simplifiying candidate # 0.101 * * * * [progress]: [ 15 / 15 ] simplifiying candidate # 0.101 * [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)) 0.102 * * [simplify]: iteration 0: 31 enodes 0.109 * * [simplify]: iteration 1: 101 enodes 0.137 * * [simplify]: iteration 2: 348 enodes 0.262 * * [simplify]: iteration 3: 1510 enodes 1.062 * * [simplify]: iteration complete: 5007 enodes 1.062 * * [simplify]: Extracting #0: cost 12 inf + 0 1.063 * * [simplify]: Extracting #1: cost 231 inf + 0 1.065 * * [simplify]: Extracting #2: cost 1407 inf + 1 1.072 * * [simplify]: Extracting #3: cost 1897 inf + 8038 1.094 * * [simplify]: Extracting #4: cost 1005 inf + 122787 1.147 * * [simplify]: Extracting #5: cost 147 inf + 297623 1.207 * * [simplify]: Extracting #6: cost 31 inf + 327118 1.267 * * [simplify]: Extracting #7: cost 5 inf + 331724 1.328 * * [simplify]: Extracting #8: cost 0 inf + 333189 1.399 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* y y) (* x x))) (exp (+ (* x x) (* y y))) (* (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) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* y y) (* x x))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.400 * * * [progress]: adding candidates to table 1.447 * * [progress]: iteration 2 / 4 1.447 * * * [progress]: picking best candidate 1.454 * * * * [pick]: Picked # 1.454 * * * [progress]: localizing error 1.471 * * * [progress]: generating rewritten candidates 1.471 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.478 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.485 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.521 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.531 * * * [progress]: generating series expansions 1.531 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.531 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 1.531 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 1.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 1.531 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [backup-simplify]: Simplify x into x 1.531 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.531 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.531 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.531 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.532 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.532 * [taylor]: Taking taylor expansion of y in x 1.532 * [backup-simplify]: Simplify y into y 1.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.532 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.532 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.532 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.533 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.533 * [taylor]: Taking taylor expansion of y in x 1.533 * [backup-simplify]: Simplify y into y 1.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.533 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.533 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.533 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.533 * [taylor]: Taking taylor expansion of y in y 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (+ 0 1) into 1 1.535 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.535 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.535 * [taylor]: Taking taylor expansion of 1/2 in y 1.535 * [backup-simplify]: Simplify 1/2 into 1/2 1.535 * [taylor]: Taking taylor expansion of y in y 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.537 * [taylor]: Taking taylor expansion of 0 in y 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.538 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.538 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (/ 1 1) into 1 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.539 * [taylor]: Taking taylor expansion of x in y 1.539 * [backup-simplify]: Simplify x into x 1.539 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.539 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.539 * [backup-simplify]: Simplify (+ 1 0) into 1 1.539 * [backup-simplify]: Simplify (sqrt 1) into 1 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.541 * [backup-simplify]: Simplify y into y 1.541 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.541 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [backup-simplify]: Simplify (+ 0 1) into 1 1.542 * [backup-simplify]: Simplify (sqrt 1) into 1 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (+ 0 0) into 0 1.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (/ 1 1) into 1 1.544 * [backup-simplify]: Simplify (+ 0 1) into 1 1.545 * [backup-simplify]: Simplify (sqrt 1) into 1 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.546 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.546 * [taylor]: Taking taylor expansion of 1 in y 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [taylor]: Taking taylor expansion of 0 in y 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.548 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.548 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.548 * [taylor]: Taking taylor expansion of 1/2 in y 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (* 1 1) into 1 1.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.552 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.554 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.554 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.554 * [taylor]: Taking taylor expansion of x in y 1.554 * [backup-simplify]: Simplify x into x 1.554 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.555 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.555 * [backup-simplify]: Simplify (+ 1 0) into 1 1.555 * [backup-simplify]: Simplify (sqrt 1) into 1 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [backup-simplify]: Simplify y into y 1.557 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.557 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (/ 1 1) into 1 1.558 * [backup-simplify]: Simplify (+ 0 1) into 1 1.558 * [backup-simplify]: Simplify (sqrt 1) into 1 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [backup-simplify]: Simplify y into y 1.560 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.560 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [backup-simplify]: Simplify (+ 0 1) into 1 1.562 * [backup-simplify]: Simplify (sqrt 1) into 1 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.564 * [taylor]: Taking taylor expansion of 1 in y 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [taylor]: Taking taylor expansion of 0 in y 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.567 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.567 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.567 * [taylor]: Taking taylor expansion of 1/2 in y 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (* 1 1) into 1 1.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.573 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.574 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 1.574 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 1.574 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.574 * [taylor]: Taking taylor expansion of y in y 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.574 * [taylor]: Taking taylor expansion of x in y 1.574 * [backup-simplify]: Simplify x into x 1.574 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.574 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.574 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.574 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.575 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [backup-simplify]: Simplify y into y 1.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.575 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.575 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.575 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.575 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [backup-simplify]: Simplify y into y 1.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.576 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.576 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.576 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.576 * [taylor]: Taking taylor expansion of y in y 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.577 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (+ 0 1) into 1 1.578 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.578 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.578 * [taylor]: Taking taylor expansion of 1/2 in y 1.578 * [backup-simplify]: Simplify 1/2 into 1/2 1.578 * [taylor]: Taking taylor expansion of y in y 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.584 * [taylor]: Taking taylor expansion of 0 in y 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.585 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.585 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [backup-simplify]: Simplify (* 1 1) into 1 1.586 * [backup-simplify]: Simplify (/ 1 1) into 1 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.586 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.586 * [taylor]: Taking taylor expansion of x in y 1.586 * [backup-simplify]: Simplify x into x 1.586 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.586 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.586 * [backup-simplify]: Simplify (+ 1 0) into 1 1.587 * [backup-simplify]: Simplify (sqrt 1) into 1 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.589 * [backup-simplify]: Simplify y into y 1.589 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.589 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [backup-simplify]: Simplify (+ 0 1) into 1 1.590 * [backup-simplify]: Simplify (sqrt 1) into 1 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.593 * [backup-simplify]: Simplify y into y 1.593 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.593 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* 1 1) into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (+ 0 1) into 1 1.594 * [backup-simplify]: Simplify (sqrt 1) into 1 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.596 * [taylor]: Taking taylor expansion of 1 in y 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.599 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.599 * [taylor]: Taking taylor expansion of 1/2 in y 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.599 * [taylor]: Taking taylor expansion of y in y 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.604 * [taylor]: Taking taylor expansion of 0 in y 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.606 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.606 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.606 * [taylor]: Taking taylor expansion of y in y 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* 1 1) into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [backup-simplify]: Simplify x into x 1.607 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.607 * [backup-simplify]: Simplify (+ 1 0) into 1 1.607 * [backup-simplify]: Simplify (sqrt 1) into 1 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [backup-simplify]: Simplify y into y 1.610 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [backup-simplify]: Simplify (+ 0 1) into 1 1.611 * [backup-simplify]: Simplify (sqrt 1) into 1 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.613 * [taylor]: Taking taylor expansion of y in x 1.613 * [backup-simplify]: Simplify y into y 1.613 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.613 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.614 * [backup-simplify]: Simplify (+ 0 1) into 1 1.614 * [backup-simplify]: Simplify (sqrt 1) into 1 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.615 * [taylor]: Taking taylor expansion of 1 in y 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of 0 in y 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.617 * [taylor]: Taking taylor expansion of 1/2 in y 1.617 * [backup-simplify]: Simplify 1/2 into 1/2 1.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.617 * [taylor]: Taking taylor expansion of y in y 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (* 1 1) into 1 1.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.622 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.622 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow y 2) (pow x 2)) 1.622 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 1.622 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.623 * [taylor]: Taking taylor expansion of x in y 1.623 * [backup-simplify]: Simplify x into x 1.623 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.623 * [backup-simplify]: Simplify y into y 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.623 * [backup-simplify]: Simplify y into y 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.623 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.623 * [taylor]: Taking taylor expansion of y in y 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in y 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (+ 0 1) into 1 1.624 * [taylor]: Taking taylor expansion of 1 in y 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [taylor]: Taking taylor expansion of 0 in y 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [taylor]: Taking taylor expansion of 0 in y 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 1.628 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.628 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.628 * [taylor]: Taking taylor expansion of y in y 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (* 1 1) into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.629 * [backup-simplify]: Simplify x into x 1.629 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.629 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.629 * [taylor]: Taking taylor expansion of y in x 1.629 * [backup-simplify]: Simplify y into y 1.629 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.629 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (* 1 1) into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.630 * [taylor]: Taking taylor expansion of y in x 1.630 * [backup-simplify]: Simplify y into y 1.630 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (* 1 1) into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [backup-simplify]: Simplify (+ 0 1) into 1 1.631 * [taylor]: Taking taylor expansion of 1 in y 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [taylor]: Taking taylor expansion of 0 in y 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.633 * [taylor]: Taking taylor expansion of y in y 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [taylor]: Taking taylor expansion of 0 in y 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [taylor]: Taking taylor expansion of 0 in y 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.639 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.639 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.639 * [taylor]: Taking taylor expansion of y in y 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.640 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.640 * [taylor]: Taking taylor expansion of x in y 1.640 * [backup-simplify]: Simplify x into x 1.640 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.640 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.640 * [taylor]: Taking taylor expansion of y in x 1.640 * [backup-simplify]: Simplify y into y 1.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.641 * [backup-simplify]: Simplify (/ 1 1) into 1 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [backup-simplify]: Simplify y into y 1.641 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.641 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (* 1 1) into 1 1.642 * [backup-simplify]: Simplify (/ 1 1) into 1 1.642 * [backup-simplify]: Simplify (+ 0 1) into 1 1.642 * [taylor]: Taking taylor expansion of 1 in y 1.642 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [taylor]: Taking taylor expansion of 0 in y 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.645 * [taylor]: Taking taylor expansion of y in y 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (* 1 1) into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [taylor]: Taking taylor expansion of 0 in y 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [taylor]: Taking taylor expansion of 0 in y 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.654 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.654 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 1.654 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 1.654 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.654 * [taylor]: Taking taylor expansion of x in y 1.654 * [backup-simplify]: Simplify x into x 1.654 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.654 * [backup-simplify]: Simplify y into y 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.654 * [backup-simplify]: Simplify y into y 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.655 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.655 * [taylor]: Taking taylor expansion of y in y 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.655 * [taylor]: Taking taylor expansion of 0 in y 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (+ 0 1) into 1 1.656 * [taylor]: Taking taylor expansion of 1 in y 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [taylor]: Taking taylor expansion of 0 in y 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [taylor]: Taking taylor expansion of 0 in y 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 1.661 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.661 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.662 * [taylor]: Taking taylor expansion of x in y 1.662 * [backup-simplify]: Simplify x into x 1.662 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.662 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.662 * [taylor]: Taking taylor expansion of y in x 1.662 * [backup-simplify]: Simplify y into y 1.662 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.662 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.663 * [taylor]: Taking taylor expansion of y in x 1.663 * [backup-simplify]: Simplify y into y 1.663 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.664 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (* 1 1) into 1 1.664 * [backup-simplify]: Simplify (/ 1 1) into 1 1.665 * [backup-simplify]: Simplify (+ 0 1) into 1 1.665 * [taylor]: Taking taylor expansion of 1 in y 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [taylor]: Taking taylor expansion of 0 in y 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (* 1 1) into 1 1.668 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [taylor]: Taking taylor expansion of 0 in y 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [taylor]: Taking taylor expansion of 0 in y 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.674 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.674 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.674 * [taylor]: Taking taylor expansion of y in y 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (* 1 1) into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [backup-simplify]: Simplify x into x 1.675 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.675 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [backup-simplify]: Simplify y into y 1.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (* 1 1) into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [backup-simplify]: Simplify y into y 1.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.676 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (* 1 1) into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.677 * [backup-simplify]: Simplify (+ 0 1) into 1 1.677 * [taylor]: Taking taylor expansion of 1 in y 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [taylor]: Taking taylor expansion of 0 in y 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [taylor]: Taking taylor expansion of 0 in y 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [taylor]: Taking taylor expansion of 0 in y 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.687 * * * [progress]: simplifying candidates 1.687 * * * * [progress]: [ 1 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 2 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 3 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 4 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 5 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 6 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 7 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 8 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 9 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 10 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 11 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 12 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 13 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 14 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 15 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 16 / 114 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* y y)))))))> 1.687 * * * * [progress]: [ 17 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 18 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 19 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 20 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 21 / 114 ] simplifiying candidate # 1.687 * * * * [progress]: [ 22 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 23 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 24 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 25 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 26 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 27 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 28 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 29 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 30 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 31 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 32 / 114 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* y y))))) (sqrt (+ (* x x) (* y y)))))> 1.688 * * * * [progress]: [ 33 / 114 ] simplifiying candidate # 1.688 * * * * [progress]: [ 34 / 114 ] simplifiying candidate # 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[progress]: [ 66 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 67 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 68 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 69 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 70 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 71 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 72 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 73 / 114 ] simplifiying candidate # 1.689 * * * * [progress]: [ 74 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 75 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 76 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 77 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 78 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 79 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 80 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 81 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 82 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 83 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 84 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 85 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 86 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 87 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 88 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 89 / 114 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))))> 1.690 * * * * [progress]: [ 90 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 91 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 92 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 93 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 94 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 95 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 96 / 114 ] simplifiying candidate # 1.690 * * * * [progress]: [ 97 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 98 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 99 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 100 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 101 / 114 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))))> 1.691 * * * * [progress]: [ 102 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 103 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 104 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 105 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 106 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 107 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 108 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 109 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 110 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 111 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 112 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 113 / 114 ] simplifiying candidate # 1.691 * * * * [progress]: [ 114 / 114 ] simplifiying candidate # 1.692 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (real->posit16 (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (real->posit16 (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) (real->posit16 (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) y x (* -1 x) y x (* -1 x) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 1.693 * * [simplify]: iteration 0: 95 enodes 1.721 * * [simplify]: iteration 1: 226 enodes 1.792 * * [simplify]: iteration 2: 553 enodes 2.002 * * [simplify]: iteration 3: 1610 enodes 2.941 * * [simplify]: iteration complete: 5001 enodes 2.941 * * [simplify]: Extracting #0: cost 41 inf + 0 2.942 * * [simplify]: Extracting #1: cost 259 inf + 46 2.947 * * [simplify]: Extracting #2: cost 1106 inf + 1713 2.961 * * [simplify]: Extracting #3: cost 932 inf + 58672 3.012 * * [simplify]: Extracting #4: cost 327 inf + 211432 3.093 * * [simplify]: Extracting #5: cost 76 inf + 300730 3.172 * * [simplify]: Extracting #6: cost 11 inf + 311583 3.243 * * [simplify]: Extracting #7: cost 0 inf + 315016 3.318 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (real->posit16 (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (real->posit16 (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* 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)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y)))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (* (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))) (* (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (* (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (* (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (real->posit16 (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y)))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) y x (- x) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 3.327 * * * [progress]: adding candidates to table 3.665 * * [progress]: iteration 3 / 4 3.665 * * * [progress]: picking best candidate 3.669 * * * * [pick]: Picked # 3.669 * * * [progress]: localizing error 3.689 * * * [progress]: generating rewritten candidates 3.689 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.748 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.784 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.849 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.859 * * * [progress]: generating series expansions 3.859 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.859 * [backup-simplify]: Simplify (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) into (+ (pow y 2) (pow x 2)) 3.859 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 3.859 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.859 * [taylor]: Taking taylor expansion of y in y 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.859 * [taylor]: Taking taylor expansion of x in y 3.859 * [backup-simplify]: Simplify x into x 3.859 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.859 * [taylor]: Taking taylor expansion of y in x 3.859 * [backup-simplify]: Simplify y into y 3.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.859 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.859 * [taylor]: Taking taylor expansion of y in x 3.859 * [backup-simplify]: Simplify y into y 3.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.859 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.860 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.860 * [taylor]: Taking taylor expansion of y in y 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.860 * [backup-simplify]: Simplify (+ 0 0) into 0 3.860 * [taylor]: Taking taylor expansion of 0 in y 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.861 * [backup-simplify]: Simplify (* 1 1) into 1 3.861 * [backup-simplify]: Simplify (+ 0 1) into 1 3.861 * [taylor]: Taking taylor expansion of 1 in y 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (* 1 1) into 1 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.863 * [backup-simplify]: Simplify (+ 0 0) into 0 3.863 * [taylor]: Taking taylor expansion of 0 in y 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [taylor]: Taking taylor expansion of 0 in y 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 3.866 * [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))) 3.866 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 3.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.866 * [taylor]: Taking taylor expansion of y in y 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.867 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.867 * [taylor]: Taking taylor expansion of x in y 3.867 * [backup-simplify]: Simplify x into x 3.867 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.867 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.867 * [taylor]: Taking taylor expansion of y in x 3.867 * [backup-simplify]: Simplify y into y 3.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.867 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.868 * [taylor]: Taking taylor expansion of y in x 3.868 * [backup-simplify]: Simplify y into y 3.868 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.868 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.869 * [backup-simplify]: Simplify (+ 0 1) into 1 3.869 * [taylor]: Taking taylor expansion of 1 in y 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.870 * [taylor]: Taking taylor expansion of 0 in y 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.871 * [taylor]: Taking taylor expansion of y in y 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (* 1 1) into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [taylor]: Taking taylor expansion of 0 in y 3.873 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [taylor]: Taking taylor expansion of 0 in y 3.876 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.878 * [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))) 3.878 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.878 * [taylor]: Taking taylor expansion of y in y 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (/ 1 1) into 1 3.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.879 * [taylor]: Taking taylor expansion of x in y 3.879 * [backup-simplify]: Simplify x into x 3.879 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.879 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.879 * [taylor]: Taking taylor expansion of y in x 3.879 * [backup-simplify]: Simplify y into y 3.879 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.879 * [taylor]: Taking taylor expansion of x in x 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.880 * [taylor]: Taking taylor expansion of y in x 3.880 * [backup-simplify]: Simplify y into y 3.880 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.880 * [taylor]: Taking taylor expansion of x in x 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (* 1 1) into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.881 * [backup-simplify]: Simplify (+ 0 1) into 1 3.881 * [taylor]: Taking taylor expansion of 1 in y 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [taylor]: Taking taylor expansion of 0 in y 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.883 * [taylor]: Taking taylor expansion of y in y 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (* 1 1) into 1 3.884 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [taylor]: Taking taylor expansion of 0 in y 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [taylor]: Taking taylor expansion of 0 in y 3.888 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.890 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.890 * [backup-simplify]: Simplify (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 2) 3.890 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in (x y) around 0 3.890 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in y 3.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.890 * [taylor]: Taking taylor expansion of y in y 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.890 * [taylor]: Taking taylor expansion of x in y 3.890 * [backup-simplify]: Simplify x into x 3.890 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.890 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.890 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in x 3.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.890 * [taylor]: Taking taylor expansion of y in x 3.890 * [backup-simplify]: Simplify y into y 3.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.890 * [taylor]: Taking taylor expansion of x in x 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.891 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.891 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 2) in x 3.891 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.891 * [taylor]: Taking taylor expansion of y in x 3.891 * [backup-simplify]: Simplify y into y 3.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.891 * [taylor]: Taking taylor expansion of x in x 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.891 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.891 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.891 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.891 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.891 * [taylor]: Taking taylor expansion of y in y 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.891 * [backup-simplify]: Simplify (+ 0 0) into 0 3.891 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 3.892 * [taylor]: Taking taylor expansion of 0 in y 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.892 * [backup-simplify]: Simplify (* 1 1) into 1 3.893 * [backup-simplify]: Simplify (+ 0 1) into 1 3.893 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 3.893 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 3.893 * [taylor]: Taking taylor expansion of 2 in y 3.893 * [backup-simplify]: Simplify 2 into 2 3.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.893 * [taylor]: Taking taylor expansion of y in y 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 3.895 * [taylor]: Taking taylor expansion of 0 in y 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.897 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow y 2)))))) into 1 3.898 * [taylor]: Taking taylor expansion of 1 in y 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.898 * [backup-simplify]: Simplify (* 2 1) into 2 3.898 * [backup-simplify]: Simplify 2 into 2 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.899 * [backup-simplify]: Simplify (* 1 1) into 1 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [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))) 3.899 * [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) 3.899 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in (x y) around 0 3.899 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in y 3.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.899 * [taylor]: Taking taylor expansion of y in y 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (/ 1 1) into 1 3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.900 * [taylor]: Taking taylor expansion of x in y 3.900 * [backup-simplify]: Simplify x into x 3.900 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.900 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.900 * [backup-simplify]: Simplify (+ 1 0) into 1 3.900 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 3.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.900 * [taylor]: Taking taylor expansion of y in x 3.900 * [backup-simplify]: Simplify y into y 3.900 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.900 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.901 * [taylor]: Taking taylor expansion of x in x 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (* 1 1) into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [backup-simplify]: Simplify (+ 0 1) into 1 3.901 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 3.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.901 * [taylor]: Taking taylor expansion of y in x 3.901 * [backup-simplify]: Simplify y into y 3.901 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.902 * [taylor]: Taking taylor expansion of x in x 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 1 into 1 3.902 * [backup-simplify]: Simplify (* 1 1) into 1 3.902 * [backup-simplify]: Simplify (/ 1 1) into 1 3.902 * [backup-simplify]: Simplify (+ 0 1) into 1 3.903 * [backup-simplify]: Simplify (* 1 1) into 1 3.903 * [taylor]: Taking taylor expansion of 1 in y 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.904 * [taylor]: Taking taylor expansion of 0 in y 3.904 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.906 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 3.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.906 * [taylor]: Taking taylor expansion of 2 in y 3.906 * [backup-simplify]: Simplify 2 into 2 3.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.906 * [taylor]: Taking taylor expansion of y in y 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (* 1 1) into 1 3.906 * [backup-simplify]: Simplify (/ 1 1) into 1 3.906 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 0) into 0 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 3.909 * [taylor]: Taking taylor expansion of 0 in y 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ 0 0) into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.911 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.912 * [taylor]: Taking taylor expansion of y in y 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (* 1 1) into 1 3.912 * [backup-simplify]: Simplify (* 1 1) into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.912 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (* 2 1) into 2 3.913 * [backup-simplify]: Simplify 2 into 2 3.913 * [backup-simplify]: Simplify 1 into 1 3.913 * [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))) 3.913 * [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) 3.913 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in (x y) around 0 3.913 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in y 3.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.913 * [taylor]: Taking taylor expansion of y in y 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (* 1 1) into 1 3.914 * [backup-simplify]: Simplify (/ 1 1) into 1 3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.914 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.914 * [taylor]: Taking taylor expansion of x in y 3.914 * [backup-simplify]: Simplify x into x 3.914 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.914 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.914 * [backup-simplify]: Simplify (+ 1 0) into 1 3.914 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 3.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.914 * [taylor]: Taking taylor expansion of y in x 3.914 * [backup-simplify]: Simplify y into y 3.914 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.915 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.915 * [taylor]: Taking taylor expansion of x in x 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (* 1 1) into 1 3.915 * [backup-simplify]: Simplify (/ 1 1) into 1 3.915 * [backup-simplify]: Simplify (+ 0 1) into 1 3.915 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2) in x 3.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.915 * [taylor]: Taking taylor expansion of y in x 3.915 * [backup-simplify]: Simplify y into y 3.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.916 * [taylor]: Taking taylor expansion of x in x 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (* 1 1) into 1 3.916 * [backup-simplify]: Simplify (/ 1 1) into 1 3.916 * [backup-simplify]: Simplify (+ 0 1) into 1 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.917 * [taylor]: Taking taylor expansion of 1 in y 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.918 * [taylor]: Taking taylor expansion of 0 in y 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.920 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 3.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.920 * [taylor]: Taking taylor expansion of 2 in y 3.920 * [backup-simplify]: Simplify 2 into 2 3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.920 * [taylor]: Taking taylor expansion of y in y 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (* 1 1) into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ 0 0) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 3.923 * [taylor]: Taking taylor expansion of 0 in y 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 3.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.926 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.926 * [taylor]: Taking taylor expansion of y in y 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify (* 2 1) into 2 3.927 * [backup-simplify]: Simplify 2 into 2 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [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))) 3.927 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.927 * [backup-simplify]: Simplify (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 3) 3.927 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in (x y) around 0 3.928 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in y 3.928 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.928 * [taylor]: Taking taylor expansion of y in y 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.928 * [taylor]: Taking taylor expansion of x in y 3.928 * [backup-simplify]: Simplify x into x 3.928 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.928 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.928 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x 3.928 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.928 * [taylor]: Taking taylor expansion of y in x 3.928 * [backup-simplify]: Simplify y into y 3.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.928 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.928 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x 3.928 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.928 * [taylor]: Taking taylor expansion of y in x 3.928 * [backup-simplify]: Simplify y into y 3.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.928 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.928 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 3.928 * [backup-simplify]: Simplify (* (pow y 2) (pow y 4)) into (pow y 6) 3.928 * [taylor]: Taking taylor expansion of (pow y 6) in y 3.928 * [taylor]: Taking taylor expansion of y in y 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.929 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 3.929 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 4))) into 0 3.929 * [taylor]: Taking taylor expansion of 0 in y 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.930 * [backup-simplify]: Simplify (* 1 1) into 1 3.930 * [backup-simplify]: Simplify (+ 0 1) into 1 3.930 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 3.931 * [backup-simplify]: Simplify (+ (* (pow y 2) (* 2 (pow y 2))) (+ (* 0 0) (* 1 (pow y 4)))) into (* 3 (pow y 4)) 3.931 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 3.931 * [taylor]: Taking taylor expansion of 3 in y 3.931 * [backup-simplify]: Simplify 3 into 3 3.931 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.931 * [taylor]: Taking taylor expansion of y in y 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 3.935 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 (* 2 (pow y 2))) (+ (* 1 0) (* 0 (pow y 4))))) into 0 3.935 * [taylor]: Taking taylor expansion of 0 in y 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow y 2)))))) into 1 3.938 * [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)) 3.938 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.938 * [taylor]: Taking taylor expansion of 3 in y 3.938 * [backup-simplify]: Simplify 3 into 3 3.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.939 * [taylor]: Taking taylor expansion of y in y 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [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) 3.939 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0 3.939 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y 3.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.939 * [taylor]: Taking taylor expansion of y in y 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.940 * [backup-simplify]: Simplify (/ 1 1) into 1 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.940 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.940 * [taylor]: Taking taylor expansion of x in y 3.940 * [backup-simplify]: Simplify x into x 3.940 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.940 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.940 * [backup-simplify]: Simplify (+ 1 0) into 1 3.940 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 3.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.940 * [taylor]: Taking taylor expansion of y in x 3.940 * [backup-simplify]: Simplify y into y 3.940 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.940 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.940 * [taylor]: Taking taylor expansion of x in x 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [backup-simplify]: Simplify (+ 0 1) into 1 3.941 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 3.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.941 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.941 * [taylor]: Taking taylor expansion of y in x 3.941 * [backup-simplify]: Simplify y into y 3.941 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.941 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.941 * [taylor]: Taking taylor expansion of x in x 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 1 into 1 3.942 * [backup-simplify]: Simplify (* 1 1) into 1 3.942 * [backup-simplify]: Simplify (/ 1 1) into 1 3.942 * [backup-simplify]: Simplify (+ 0 1) into 1 3.942 * [backup-simplify]: Simplify (* 1 1) into 1 3.943 * [backup-simplify]: Simplify (* 1 1) into 1 3.943 * [taylor]: Taking taylor expansion of 1 in y 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ 0 0) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.944 * [taylor]: Taking taylor expansion of 0 in y 3.944 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.946 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 3.947 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 3.947 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.947 * [taylor]: Taking taylor expansion of 3 in y 3.947 * [backup-simplify]: Simplify 3 into 3 3.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.947 * [taylor]: Taking taylor expansion of y in y 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (* 1 1) into 1 3.948 * [backup-simplify]: Simplify (/ 1 1) into 1 3.948 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 3.951 * [taylor]: Taking taylor expansion of 0 in y 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify (+ 0 0) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 3.954 * [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))) 3.954 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 3.954 * [taylor]: Taking taylor expansion of 3 in y 3.954 * [backup-simplify]: Simplify 3 into 3 3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.954 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.954 * [taylor]: Taking taylor expansion of y in y 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (/ 1 1) into 1 3.956 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0 3.959 * [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 3.959 * [taylor]: Taking taylor expansion of 0 in y 3.959 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.960 * [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 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [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 3.964 * [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)) 3.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 3.964 * [taylor]: Taking taylor expansion of (pow y 6) in y 3.964 * [taylor]: Taking taylor expansion of y in y 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (/ 1 1) into 1 3.965 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (* 3 1) into 3 3.966 * [backup-simplify]: Simplify 3 into 3 3.966 * [backup-simplify]: Simplify (* 3 1) into 3 3.966 * [backup-simplify]: Simplify 3 into 3 3.966 * [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))))) 3.967 * [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) 3.967 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0 3.967 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y 3.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.967 * [taylor]: Taking taylor expansion of y in y 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (* 1 1) into 1 3.967 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.968 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.968 * [taylor]: Taking taylor expansion of x in y 3.968 * [backup-simplify]: Simplify x into x 3.968 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.968 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.968 * [backup-simplify]: Simplify (+ 1 0) into 1 3.968 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 3.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.968 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.968 * [taylor]: Taking taylor expansion of y in x 3.968 * [backup-simplify]: Simplify y into y 3.968 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.968 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.968 * [taylor]: Taking taylor expansion of x in x 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (* 1 1) into 1 3.969 * [backup-simplify]: Simplify (/ 1 1) into 1 3.969 * [backup-simplify]: Simplify (+ 0 1) into 1 3.969 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 3.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.969 * [taylor]: Taking taylor expansion of y in x 3.969 * [backup-simplify]: Simplify y into y 3.969 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.969 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.969 * [taylor]: Taking taylor expansion of x in x 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [backup-simplify]: Simplify (+ 0 1) into 1 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.971 * [taylor]: Taking taylor expansion of 1 in y 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [taylor]: Taking taylor expansion of 0 in y 3.973 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.975 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 3.975 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 3.975 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.975 * [taylor]: Taking taylor expansion of 3 in y 3.975 * [backup-simplify]: Simplify 3 into 3 3.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.975 * [taylor]: Taking taylor expansion of y in y 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (* 1 1) into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 3.979 * [taylor]: Taking taylor expansion of 0 in y 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 3.983 * [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))) 3.983 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 3.983 * [taylor]: Taking taylor expansion of 3 in y 3.983 * [backup-simplify]: Simplify 3 into 3 3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.983 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.983 * [taylor]: Taking taylor expansion of y in y 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (* 1 1) into 1 3.983 * [backup-simplify]: Simplify (* 1 1) into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of 0 in y 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.989 * [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 3.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [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 3.993 * [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)) 3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 3.993 * [taylor]: Taking taylor expansion of (pow y 6) in y 3.993 * [taylor]: Taking taylor expansion of y in y 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [backup-simplify]: Simplify (* 1 1) into 1 3.993 * [backup-simplify]: Simplify (* 1 1) into 1 3.993 * [backup-simplify]: Simplify (* 1 1) into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (* 3 1) into 3 3.994 * [backup-simplify]: Simplify 3 into 3 3.994 * [backup-simplify]: Simplify (* 3 1) into 3 3.994 * [backup-simplify]: Simplify 3 into 3 3.995 * [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))))) 3.995 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.995 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 3.995 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 3.995 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.995 * [taylor]: Taking taylor expansion of y in y 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.995 * [taylor]: Taking taylor expansion of x in y 3.995 * [backup-simplify]: Simplify x into x 3.995 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.995 * [taylor]: Taking taylor expansion of y in x 3.995 * [backup-simplify]: Simplify y into y 3.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.995 * [taylor]: Taking taylor expansion of x in x 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.995 * [taylor]: Taking taylor expansion of y in x 3.995 * [backup-simplify]: Simplify y into y 3.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.995 * [taylor]: Taking taylor expansion of x in x 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.996 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.996 * [taylor]: Taking taylor expansion of y in y 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [taylor]: Taking taylor expansion of 0 in y 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.997 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify (+ 0 1) into 1 3.997 * [taylor]: Taking taylor expansion of 1 in y 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [taylor]: Taking taylor expansion of 0 in y 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.999 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.000 * [taylor]: Taking taylor expansion of 0 in y 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 4.001 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.001 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (/ 1 1) into 1 4.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.001 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.001 * [taylor]: Taking taylor expansion of x in y 4.001 * [backup-simplify]: Simplify x into x 4.001 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.001 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.001 * [taylor]: Taking taylor expansion of y in x 4.001 * [backup-simplify]: Simplify y into y 4.002 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.002 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.002 * [taylor]: Taking taylor expansion of x in x 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (/ 1 1) into 1 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.002 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.002 * [taylor]: Taking taylor expansion of y in x 4.002 * [backup-simplify]: Simplify y into y 4.002 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.002 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.002 * [taylor]: Taking taylor expansion of x in x 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (* 1 1) into 1 4.003 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [backup-simplify]: Simplify (+ 0 1) into 1 4.003 * [taylor]: Taking taylor expansion of 1 in y 4.003 * [backup-simplify]: Simplify 1 into 1 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [taylor]: Taking taylor expansion of 0 in y 4.004 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.005 * [taylor]: Taking taylor expansion of y in y 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (* 1 1) into 1 4.006 * [backup-simplify]: Simplify (/ 1 1) into 1 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [taylor]: Taking taylor expansion of 0 in y 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [taylor]: Taking taylor expansion of 0 in y 4.010 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.012 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.012 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.012 * [taylor]: Taking taylor expansion of y in y 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.013 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.013 * [taylor]: Taking taylor expansion of x in y 4.013 * [backup-simplify]: Simplify x into x 4.013 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.013 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.013 * [taylor]: Taking taylor expansion of y in x 4.013 * [backup-simplify]: Simplify y into y 4.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.013 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.013 * [taylor]: Taking taylor expansion of x in x 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.013 * [taylor]: Taking taylor expansion of y in x 4.013 * [backup-simplify]: Simplify y into y 4.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.014 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (* 1 1) into 1 4.014 * [backup-simplify]: Simplify (/ 1 1) into 1 4.014 * [backup-simplify]: Simplify (+ 0 1) into 1 4.014 * [taylor]: Taking taylor expansion of 1 in y 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [taylor]: Taking taylor expansion of 0 in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.017 * [taylor]: Taking taylor expansion of y in y 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify (* 1 1) into 1 4.017 * [backup-simplify]: Simplify (/ 1 1) into 1 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.019 * [taylor]: Taking taylor expansion of 0 in y 4.019 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [taylor]: Taking taylor expansion of 0 in y 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.025 * * * [progress]: simplifying candidates 4.025 * * * * [progress]: [ 1 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 2 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 3 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 4 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 5 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 6 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 7 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 8 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 9 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 10 / 154 ] simplifiying candidate # 4.025 * * * * [progress]: [ 11 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 12 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 13 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 14 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 15 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 16 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 17 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 18 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 19 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 20 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 21 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 22 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 23 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 24 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 25 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 26 / 154 ] simplifiying candidate # 4.026 * * * * [progress]: [ 27 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 28 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 29 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 30 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 31 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 32 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 33 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 34 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 35 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 36 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 37 / 154 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))> 4.027 * * * * [progress]: [ 38 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 39 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 40 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 41 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 42 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 43 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 44 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 45 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 46 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 47 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 48 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 49 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 50 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 51 / 154 ] simplifiying candidate # 4.027 * * * * [progress]: [ 52 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 53 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 54 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 55 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 56 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 57 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 58 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 59 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 60 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 61 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 62 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 63 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 64 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 65 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 66 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 67 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 68 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 69 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 70 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 71 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 72 / 154 ] simplifiying candidate #real (real->posit16 (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))) (+ (* x x) (* y y)))))> 4.028 * * * * [progress]: [ 73 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 74 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 75 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 76 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 77 / 154 ] simplifiying candidate # 4.028 * * * * [progress]: [ 78 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 79 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 80 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 81 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 82 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 83 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 84 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 85 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 86 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 87 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 88 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 89 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 90 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 91 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 92 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 93 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 94 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 95 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 96 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 97 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 98 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 99 / 154 ] simplifiying candidate # 4.029 * * * * [progress]: [ 100 / 154 ] 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4.030 * * * * [progress]: [ 116 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 117 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 118 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 119 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 120 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 121 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 122 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 123 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 124 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 125 / 154 ] simplifiying candidate # 4.030 * * * * [progress]: [ 126 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 127 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 128 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 129 / 154 ] simplifiying candidate #real (real->posit16 (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))> 4.031 * * * * [progress]: [ 130 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 131 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 132 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 133 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 134 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 135 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 136 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 137 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 138 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 139 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 140 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 141 / 154 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))))> 4.031 * * * * [progress]: [ 142 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 143 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 144 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 145 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 146 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 147 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 148 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 149 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 150 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 151 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 152 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 153 / 154 ] simplifiying candidate # 4.031 * * * * [progress]: [ 154 / 154 ] simplifiying candidate # 4.033 * [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) 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(* y y)) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (* (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y y) y) (* (* y y) y))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (* (* (+ (* y y) (* x x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ (* y y) (* x x))) (* (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y y) y) (* (* y y) y))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (* (* (+ (* y y) (* x x)) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (+ (* y y) (* x x))) (real->posit16 (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))) (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))) (+ (* (* x (* x x)) (* x (* x x))) (* (* (* y y) y) (* (* y y) y))) (+ (* (* y y) (- (* y y) (* x x))) (* (* 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)) (+ (* (* x x) (* x x)) (* (* y y) (+ (* y y) (* (* x x) 2)))) (+ (* (* x x) (* x x)) (* (* y y) (+ (* y y) (* (* x x) 2)))) (+ (* (* x x) (* x x)) (* (* y y) (+ (* y y) (* (* x x) 2)))) 0 (+ (* (* y y) (+ (* 3 (* (* x x) (* x x))) (* (* y y) (* y y)))) (* 3 (* (* x (* y y)) (* x (* y y))))) (+ (* (* y y) (+ (* 3 (* (* x x) (* x x))) (* (* y y) (* y y)))) (* 3 (* (* x (* y y)) (* x (* y y))))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 5.955 * * * [progress]: adding candidates to table 6.372 * [progress]: [Phase 3 of 3] Extracting. 6.372 * * [regime]: Finding splitpoints for: (# # #) 6.372 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 6.372 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 6.395 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 6.427 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 6.461 * * * * [regimes]: Trying to branch on y from (# # #) 6.482 * * * * [regimes]: Trying to branch on x from (# # #) 6.522 * * * [regime]: Found split indices: #