15.029 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.046 * * [simplify]: iteration 0: 5 enodes 0.047 * * [simplify]: iteration 1: 6 enodes 0.049 * * [simplify]: iteration complete: 6 enodes 0.049 * * [simplify]: Extracting #0: cost 1 inf + 0 0.049 * * [simplify]: Extracting #1: cost 3 inf + 0 0.049 * * [simplify]: Extracting #2: cost 5 inf + 0 0.049 * * [simplify]: Extracting #3: cost 2 inf + 5 0.049 * * [simplify]: Extracting #4: cost 0 inf + 15 0.049 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.089 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.089 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [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 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 0.090 * [backup-simplify]: Simplify y into y 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 (* y y) into (pow y 2) 0.090 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.091 * [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 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.099 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.099 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.101 * [backup-simplify]: Simplify x into x 0.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.120 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.140 * * * [progress]: simplifying candidates 0.140 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.140 * * [simplify]: iteration 0: 30 enodes 0.152 * * [simplify]: iteration 1: 115 enodes 0.589 * * [simplify]: iteration 2: 639 enodes 1.985 * * [simplify]: iteration 3: 4731 enodes 4.295 * * [simplify]: iteration complete: 5000 enodes 4.295 * * [simplify]: Extracting #0: cost 11 inf + 0 4.295 * * [simplify]: Extracting #1: cost 171 inf + 0 4.298 * * [simplify]: Extracting #2: cost 1399 inf + 1 4.305 * * [simplify]: Extracting #3: cost 1519 inf + 1606 4.312 * * [simplify]: Extracting #4: cost 669 inf + 5758 4.319 * * [simplify]: Extracting #5: cost 116 inf + 10137 4.329 * * [simplify]: Extracting #6: cost 7 inf + 11206 4.336 * * [simplify]: Extracting #7: cost 0 inf + 11269 4.342 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (- (pow y 3) (* (* y x) x)) y) (pow x 4)) (- (pow x 4) (pow y 4)) (* (- x y) (+ x y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 4.342 * * * [progress]: adding candidates to table 4.378 * * [progress]: iteration 2 / 4 4.379 * * * [progress]: picking best candidate 4.382 * * * * [pick]: Picked # 4.382 * * * [progress]: localizing error 4.393 * * * [progress]: generating rewritten candidates 4.393 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 4.404 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 4.419 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 4.432 * * * [progress]: generating series expansions 4.432 * * * * [progress]: [ 1 / 3 ] generating series at (2) 4.433 * [backup-simplify]: Simplify (cbrt (pow (+ (* x x) (* y y)) 3)) into (+ (pow y 2) (pow x 2)) 4.433 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 4.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.433 * [taylor]: Taking taylor expansion of y in y 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.433 * [taylor]: Taking taylor expansion of x in y 4.433 * [backup-simplify]: Simplify x into x 4.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.433 * [taylor]: Taking taylor expansion of y in x 4.433 * [backup-simplify]: Simplify y into y 4.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.433 * [taylor]: Taking taylor expansion of x in x 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.433 * [taylor]: Taking taylor expansion of y in x 4.433 * [backup-simplify]: Simplify y into y 4.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.433 * [taylor]: Taking taylor expansion of x in x 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.433 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.433 * [taylor]: Taking taylor expansion of y in y 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.434 * [backup-simplify]: Simplify (+ 0 0) into 0 4.434 * [taylor]: Taking taylor expansion of 0 in y 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.435 * [backup-simplify]: Simplify (* 1 1) into 1 4.436 * [backup-simplify]: Simplify (+ 0 1) into 1 4.436 * [taylor]: Taking taylor expansion of 1 in y 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify (* 1 1) into 1 4.436 * [backup-simplify]: Simplify 1 into 1 4.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.438 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [taylor]: Taking taylor expansion of 0 in y 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.439 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.441 * [backup-simplify]: Simplify (+ 0 0) into 0 4.441 * [taylor]: Taking taylor expansion of 0 in y 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 4.442 * [backup-simplify]: Simplify (cbrt (pow (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) 3)) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.442 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.442 * [taylor]: Taking taylor expansion of y in y 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (* 1 1) into 1 4.443 * [backup-simplify]: Simplify (/ 1 1) into 1 4.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.443 * [taylor]: Taking taylor expansion of x in y 4.443 * [backup-simplify]: Simplify x into x 4.443 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.443 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.443 * [taylor]: Taking taylor expansion of y in x 4.443 * [backup-simplify]: Simplify y into y 4.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.443 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.444 * [taylor]: Taking taylor expansion of x in x 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (* 1 1) into 1 4.444 * [backup-simplify]: Simplify (/ 1 1) into 1 4.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.444 * [taylor]: Taking taylor expansion of y in x 4.444 * [backup-simplify]: Simplify y into y 4.444 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (* 1 1) into 1 4.445 * [backup-simplify]: Simplify (/ 1 1) into 1 4.446 * [backup-simplify]: Simplify (+ 0 1) into 1 4.446 * [taylor]: Taking taylor expansion of 1 in y 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.447 * [backup-simplify]: Simplify (+ 0 0) into 0 4.447 * [taylor]: Taking taylor expansion of 0 in y 4.447 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.449 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.449 * [taylor]: Taking taylor expansion of y in y 4.449 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (* 1 1) into 1 4.450 * [backup-simplify]: Simplify (/ 1 1) into 1 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (+ 0 0) into 0 4.453 * [taylor]: Taking taylor expansion of 0 in y 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.457 * [backup-simplify]: Simplify (+ 0 0) into 0 4.457 * [taylor]: Taking taylor expansion of 0 in y 4.457 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.460 * [backup-simplify]: Simplify (cbrt (pow (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) 3)) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.460 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.460 * [taylor]: Taking taylor expansion of y in y 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.461 * [backup-simplify]: Simplify (* 1 1) into 1 4.461 * [backup-simplify]: Simplify (/ 1 1) into 1 4.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.461 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.461 * [taylor]: Taking taylor expansion of x in y 4.461 * [backup-simplify]: Simplify x into x 4.461 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.461 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.461 * [taylor]: Taking taylor expansion of y in x 4.461 * [backup-simplify]: Simplify y into y 4.461 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.462 * [taylor]: Taking taylor expansion of x in x 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [backup-simplify]: Simplify (* 1 1) into 1 4.462 * [backup-simplify]: Simplify (/ 1 1) into 1 4.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.462 * [taylor]: Taking taylor expansion of y in x 4.462 * [backup-simplify]: Simplify y into y 4.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.463 * [taylor]: Taking taylor expansion of x in x 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify 1 into 1 4.463 * [backup-simplify]: Simplify (* 1 1) into 1 4.463 * [backup-simplify]: Simplify (/ 1 1) into 1 4.464 * [backup-simplify]: Simplify (+ 0 1) into 1 4.464 * [taylor]: Taking taylor expansion of 1 in y 4.464 * [backup-simplify]: Simplify 1 into 1 4.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [taylor]: Taking taylor expansion of 0 in y 4.465 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.466 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.466 * [taylor]: Taking taylor expansion of y in y 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (* 1 1) into 1 4.467 * [backup-simplify]: Simplify (/ 1 1) into 1 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.468 * [taylor]: Taking taylor expansion of 0 in y 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.471 * [backup-simplify]: Simplify (+ 0 0) into 0 4.471 * [taylor]: Taking taylor expansion of 0 in y 4.471 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.473 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.473 * [backup-simplify]: Simplify (pow (+ (* x x) (* y y)) 3) into (pow (+ (pow y 2) (pow x 2)) 3) 4.473 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in (x y) around 0 4.473 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in y 4.473 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.473 * [taylor]: Taking taylor expansion of y in y 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.473 * [taylor]: Taking taylor expansion of x in y 4.473 * [backup-simplify]: Simplify x into x 4.473 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.473 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.473 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x 4.473 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.473 * [taylor]: Taking taylor expansion of y in x 4.473 * [backup-simplify]: Simplify y into y 4.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.473 * [taylor]: Taking taylor expansion of x in x 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.474 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.474 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 3) in x 4.474 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.474 * [taylor]: Taking taylor expansion of y in x 4.474 * [backup-simplify]: Simplify y into y 4.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.474 * [taylor]: Taking taylor expansion of x in x 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.474 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.474 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.474 * [backup-simplify]: Simplify (* (pow y 2) (pow y 4)) into (pow y 6) 4.474 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.474 * [taylor]: Taking taylor expansion of y in y 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.475 * [backup-simplify]: Simplify (+ 0 0) into 0 4.475 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 4.475 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 4))) into 0 4.475 * [taylor]: Taking taylor expansion of 0 in y 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.476 * [backup-simplify]: Simplify (* 1 1) into 1 4.476 * [backup-simplify]: Simplify (+ 0 1) into 1 4.476 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 4.477 * [backup-simplify]: Simplify (+ (* (pow y 2) (* 2 (pow y 2))) (+ (* 0 0) (* 1 (pow y 4)))) into (* 3 (pow y 4)) 4.477 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 4.477 * [taylor]: Taking taylor expansion of 3 in y 4.477 * [backup-simplify]: Simplify 3 into 3 4.477 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.477 * [taylor]: Taking taylor expansion of y in y 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.478 * [backup-simplify]: Simplify (+ 0 0) into 0 4.479 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 4.479 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 (* 2 (pow y 2))) (+ (* 1 0) (* 0 (pow y 4))))) into 0 4.479 * [taylor]: Taking taylor expansion of 0 in y 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.485 * [backup-simplify]: Simplify (+ 0 0) into 0 4.486 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow y 2)))))) into 1 4.486 * [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)) 4.486 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.486 * [taylor]: Taking taylor expansion of 3 in y 4.486 * [backup-simplify]: Simplify 3 into 3 4.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.486 * [taylor]: Taking taylor expansion of y in y 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify (pow (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) 3) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) 4.487 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0 4.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y 4.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.487 * [taylor]: Taking taylor expansion of y in y 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 1 into 1 4.487 * [backup-simplify]: Simplify (* 1 1) into 1 4.488 * [backup-simplify]: Simplify (/ 1 1) into 1 4.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.488 * [taylor]: Taking taylor expansion of x in y 4.488 * [backup-simplify]: Simplify x into x 4.488 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.488 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.488 * [backup-simplify]: Simplify (+ 1 0) into 1 4.488 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 4.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.488 * [taylor]: Taking taylor expansion of y in x 4.488 * [backup-simplify]: Simplify y into y 4.488 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.489 * [taylor]: Taking taylor expansion of x in x 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify 1 into 1 4.489 * [backup-simplify]: Simplify (* 1 1) into 1 4.489 * [backup-simplify]: Simplify (/ 1 1) into 1 4.490 * [backup-simplify]: Simplify (+ 0 1) into 1 4.490 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 4.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.490 * [taylor]: Taking taylor expansion of y in x 4.490 * [backup-simplify]: Simplify y into y 4.490 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.490 * [taylor]: Taking taylor expansion of x in x 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (* 1 1) into 1 4.491 * [backup-simplify]: Simplify (/ 1 1) into 1 4.492 * [backup-simplify]: Simplify (+ 0 1) into 1 4.493 * [backup-simplify]: Simplify (* 1 1) into 1 4.493 * [backup-simplify]: Simplify (* 1 1) into 1 4.493 * [taylor]: Taking taylor expansion of 1 in y 4.493 * [backup-simplify]: Simplify 1 into 1 4.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ 0 0) into 0 4.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.496 * [taylor]: Taking taylor expansion of 0 in y 4.496 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.499 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.500 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 4.500 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.500 * [taylor]: Taking taylor expansion of 3 in y 4.500 * [backup-simplify]: Simplify 3 into 3 4.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.500 * [taylor]: Taking taylor expansion of y in y 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify (* 1 1) into 1 4.501 * [backup-simplify]: Simplify (/ 1 1) into 1 4.501 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.507 * [taylor]: Taking taylor expansion of 0 in y 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.510 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 4.513 * [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))) 4.513 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 4.513 * [taylor]: Taking taylor expansion of 3 in y 4.513 * [backup-simplify]: Simplify 3 into 3 4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.513 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.513 * [taylor]: Taking taylor expansion of y in y 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (* 1 1) into 1 4.513 * [backup-simplify]: Simplify (* 1 1) into 1 4.514 * [backup-simplify]: Simplify (/ 1 1) into 1 4.514 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.516 * [backup-simplify]: Simplify (+ 0 0) into 0 4.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0 4.518 * [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 4.518 * [taylor]: Taking taylor expansion of 0 in y 4.518 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.519 * [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 4.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.521 * [backup-simplify]: Simplify (+ 0 0) into 0 4.522 * [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 4.523 * [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)) 4.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.523 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.523 * [taylor]: Taking taylor expansion of y in y 4.523 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 1 into 1 4.524 * [backup-simplify]: Simplify (* 1 1) into 1 4.524 * [backup-simplify]: Simplify (* 1 1) into 1 4.524 * [backup-simplify]: Simplify (* 1 1) into 1 4.524 * [backup-simplify]: Simplify (/ 1 1) into 1 4.524 * [backup-simplify]: Simplify 1 into 1 4.525 * [backup-simplify]: Simplify (* 3 1) into 3 4.525 * [backup-simplify]: Simplify 3 into 3 4.525 * [backup-simplify]: Simplify (* 3 1) into 3 4.525 * [backup-simplify]: Simplify 3 into 3 4.526 * [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))))) 4.526 * [backup-simplify]: Simplify (pow (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) 3) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) 4.526 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in (x y) around 0 4.526 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in y 4.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.526 * [taylor]: Taking taylor expansion of y in y 4.526 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify 1 into 1 4.526 * [backup-simplify]: Simplify (* 1 1) into 1 4.527 * [backup-simplify]: Simplify (/ 1 1) into 1 4.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.527 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.527 * [taylor]: Taking taylor expansion of x in y 4.527 * [backup-simplify]: Simplify x into x 4.527 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.527 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.527 * [backup-simplify]: Simplify (+ 1 0) into 1 4.527 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 4.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.527 * [taylor]: Taking taylor expansion of y in x 4.527 * [backup-simplify]: Simplify y into y 4.527 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.527 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.527 * [taylor]: Taking taylor expansion of x in x 4.527 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify 1 into 1 4.528 * [backup-simplify]: Simplify (* 1 1) into 1 4.528 * [backup-simplify]: Simplify (/ 1 1) into 1 4.528 * [backup-simplify]: Simplify (+ 0 1) into 1 4.528 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3) in x 4.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.528 * [taylor]: Taking taylor expansion of y in x 4.528 * [backup-simplify]: Simplify y into y 4.528 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.528 * [taylor]: Taking taylor expansion of x in x 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify 1 into 1 4.529 * [backup-simplify]: Simplify (* 1 1) into 1 4.529 * [backup-simplify]: Simplify (/ 1 1) into 1 4.529 * [backup-simplify]: Simplify (+ 0 1) into 1 4.529 * [backup-simplify]: Simplify (* 1 1) into 1 4.530 * [backup-simplify]: Simplify (* 1 1) into 1 4.530 * [taylor]: Taking taylor expansion of 1 in y 4.530 * [backup-simplify]: Simplify 1 into 1 4.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (+ 0 0) into 0 4.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.532 * [taylor]: Taking taylor expansion of 0 in y 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.533 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.533 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.534 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 4.534 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.534 * [taylor]: Taking taylor expansion of 3 in y 4.534 * [backup-simplify]: Simplify 3 into 3 4.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.534 * [taylor]: Taking taylor expansion of y in y 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (* 1 1) into 1 4.534 * [backup-simplify]: Simplify (/ 1 1) into 1 4.534 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.536 * [backup-simplify]: Simplify (+ 0 0) into 0 4.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.537 * [taylor]: Taking taylor expansion of 0 in y 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.539 * [backup-simplify]: Simplify (+ 0 0) into 0 4.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 4)) 4.541 * [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))) 4.541 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 4.542 * [taylor]: Taking taylor expansion of 3 in y 4.542 * [backup-simplify]: Simplify 3 into 3 4.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.542 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.542 * [taylor]: Taking taylor expansion of y in y 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.542 * [backup-simplify]: Simplify (* 1 1) into 1 4.542 * [backup-simplify]: Simplify (* 1 1) into 1 4.543 * [backup-simplify]: Simplify (/ 1 1) into 1 4.543 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.545 * [backup-simplify]: Simplify (+ 0 0) into 0 4.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))))) into 0 4.547 * [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 4.547 * [taylor]: Taking taylor expansion of 0 in y 4.547 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.548 * [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 4.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.550 * [backup-simplify]: Simplify (+ 0 0) into 0 4.551 * [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 4.553 * [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)) 4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.553 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.553 * [taylor]: Taking taylor expansion of y in y 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify 1 into 1 4.553 * [backup-simplify]: Simplify (* 1 1) into 1 4.553 * [backup-simplify]: Simplify (* 1 1) into 1 4.554 * [backup-simplify]: Simplify (* 1 1) into 1 4.554 * [backup-simplify]: Simplify (/ 1 1) into 1 4.554 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (* 3 1) into 3 4.554 * [backup-simplify]: Simplify 3 into 3 4.555 * [backup-simplify]: Simplify (* 3 1) into 3 4.555 * [backup-simplify]: Simplify 3 into 3 4.555 * [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))))) 4.555 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 4.556 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 4.556 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 4.556 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.556 * [taylor]: Taking taylor expansion of y in y 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.556 * [taylor]: Taking taylor expansion of x in y 4.556 * [backup-simplify]: Simplify x into x 4.556 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.556 * [taylor]: Taking taylor expansion of y in x 4.556 * [backup-simplify]: Simplify y into y 4.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.556 * [taylor]: Taking taylor expansion of x in x 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.556 * [taylor]: Taking taylor expansion of y in x 4.556 * [backup-simplify]: Simplify y into y 4.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.556 * [taylor]: Taking taylor expansion of x in x 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.556 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.556 * [taylor]: Taking taylor expansion of y in y 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.557 * [backup-simplify]: Simplify (+ 0 0) into 0 4.557 * [taylor]: Taking taylor expansion of 0 in y 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.557 * [backup-simplify]: Simplify (* 1 1) into 1 4.558 * [backup-simplify]: Simplify (+ 0 1) into 1 4.558 * [taylor]: Taking taylor expansion of 1 in y 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify (* 1 1) into 1 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.559 * [backup-simplify]: Simplify (+ 0 0) into 0 4.559 * [taylor]: Taking taylor expansion of 0 in y 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.561 * [backup-simplify]: Simplify (+ 0 0) into 0 4.561 * [taylor]: Taking taylor expansion of 0 in y 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 4.562 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.562 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.562 * [taylor]: Taking taylor expansion of y in y 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify (* 1 1) into 1 4.562 * [backup-simplify]: Simplify (/ 1 1) into 1 4.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.562 * [taylor]: Taking taylor expansion of x in y 4.562 * [backup-simplify]: Simplify x into x 4.562 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.562 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.562 * [taylor]: Taking taylor expansion of y in x 4.562 * [backup-simplify]: Simplify y into y 4.562 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.563 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.563 * [taylor]: Taking taylor expansion of x in x 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 1 into 1 4.563 * [backup-simplify]: Simplify (* 1 1) into 1 4.563 * [backup-simplify]: Simplify (/ 1 1) into 1 4.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.563 * [taylor]: Taking taylor expansion of y in x 4.563 * [backup-simplify]: Simplify y into y 4.563 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.563 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.563 * [taylor]: Taking taylor expansion of x in x 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 1 into 1 4.564 * [backup-simplify]: Simplify (* 1 1) into 1 4.564 * [backup-simplify]: Simplify (/ 1 1) into 1 4.564 * [backup-simplify]: Simplify (+ 0 1) into 1 4.564 * [taylor]: Taking taylor expansion of 1 in y 4.564 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (+ 0 0) into 0 4.565 * [taylor]: Taking taylor expansion of 0 in y 4.565 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.567 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.567 * [taylor]: Taking taylor expansion of y in y 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (* 1 1) into 1 4.567 * [backup-simplify]: Simplify (/ 1 1) into 1 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.569 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [taylor]: Taking taylor expansion of 0 in y 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ 0 0) into 0 4.572 * [taylor]: Taking taylor expansion of 0 in y 4.572 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.575 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.575 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.575 * [taylor]: Taking taylor expansion of y in y 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (* 1 1) into 1 4.575 * [backup-simplify]: Simplify (/ 1 1) into 1 4.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.576 * [taylor]: Taking taylor expansion of x in y 4.576 * [backup-simplify]: Simplify x into x 4.576 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.576 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.576 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify (* 1 1) into 1 4.577 * [backup-simplify]: Simplify (/ 1 1) into 1 4.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.577 * [taylor]: Taking taylor expansion of y in x 4.577 * [backup-simplify]: Simplify y into y 4.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.577 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (* 1 1) into 1 4.577 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [backup-simplify]: Simplify (+ 0 1) into 1 4.578 * [taylor]: Taking taylor expansion of 1 in y 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.579 * [backup-simplify]: Simplify (+ 0 0) into 0 4.579 * [taylor]: Taking taylor expansion of 0 in y 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.580 * [taylor]: Taking taylor expansion of y in y 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (* 1 1) into 1 4.581 * [backup-simplify]: Simplify (/ 1 1) into 1 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [taylor]: Taking taylor expansion of 0 in y 4.582 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.587 * [backup-simplify]: Simplify (+ 0 0) into 0 4.587 * [taylor]: Taking taylor expansion of 0 in y 4.587 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.589 * * * [progress]: simplifying candidates 4.590 * [simplify]: Simplifying: (log (cbrt (pow (+ (* x x) (* y y)) 3))) (exp (cbrt (pow (+ (* x x) (* y y)) 3))) (cbrt (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (cbrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (* (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3)))) (cbrt (cbrt (pow (+ (* x x) (* y y)) 3))) (cbrt (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (cbrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (+ (* x x) (* y y))) (cbrt (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (cbrt (sqrt (pow (+ (* x x) (* y y)) 3))) (cbrt (sqrt (pow (+ (* x x) (* y y)) 3))) (cbrt 1) (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (pow (+ (* x x) (* y y)) (/ 3 2))) (cbrt (pow (+ (* x x) (* y y)) (/ 3 2))) (cbrt (pow (+ (pow (* x x) 3) (pow (* y y) 3)) 3)) (cbrt (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3)) (cbrt (pow (- (* (* x x) (* x x)) (* (* y y) (* y y))) 3)) (cbrt (pow (- (* x x) (* y y)) 3)) (* (cbrt (cbrt (pow (+ (* x x) (* y y)) 3))) (cbrt (cbrt (pow (+ (* x x) (* y y)) 3)))) (cbrt (cbrt (pow (+ (* x x) (* y y)) 3))) (* (* (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3))) (cbrt (pow (+ (* x x) (* y y)) 3))) (sqrt (cbrt (pow (+ (* x x) (* y y)) 3))) (sqrt (cbrt (pow (+ (* x x) (* y y)) 3))) (* (log (+ (* x x) (* y y))) 3) (* (log (+ (* x x) (* y y))) 3) (* 1 3) (pow (+ (* x x) (* y y)) (* (cbrt 3) (cbrt 3))) (pow (+ (* x x) (* y y)) (sqrt 3)) (pow (+ (* x x) (* y y)) 1) (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3) (pow (cbrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow 1 3) (pow (+ (* x x) (* y y)) 3) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (log (pow (+ (* x x) (* y y)) 3)) (exp (pow (+ (* x x) (* y y)) 3)) (* (cbrt (pow (+ (* x x) (* y y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3))) (cbrt (pow (+ (* x x) (* y y)) 3)) (* (* (pow (+ (* x x) (* y y)) 3) (pow (+ (* x x) (* y y)) 3)) (pow (+ (* x x) (* y y)) 3)) (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3) (pow (cbrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow 1 3) (pow (+ (* x x) (* y y)) 3) (pow (+ (pow (* x x) 3) (pow (* y y) 3)) 3) (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3) (pow (- (* (* x x) (* x x)) (* (* y y) (* y y))) 3) (pow (- (* x x) (* y y)) 3) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (pow (+ (* x x) (* y y)) 3)) (sqrt (pow (+ (* x x) (* y y)) 3)) (pow (+ (* x x) (* y y)) (/ 3 2)) (pow (+ (* x x) (* y y)) (/ 3 2)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0 (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2))))) (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2))))) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 4.591 * * [simplify]: iteration 0: 88 enodes 4.630 * * [simplify]: iteration 1: 302 enodes 4.929 * * [simplify]: iteration 2: 2198 enodes 6.342 * * [simplify]: iteration complete: 5000 enodes 6.342 * * [simplify]: Extracting #0: cost 30 inf + 0 6.343 * * [simplify]: Extracting #1: cost 505 inf + 3 6.349 * * [simplify]: Extracting #2: cost 1618 inf + 85 6.360 * * [simplify]: Extracting #3: cost 1738 inf + 1052 6.371 * * [simplify]: Extracting #4: cost 1104 inf + 5754 6.378 * * [simplify]: Extracting #5: cost 325 inf + 18110 6.384 * * [simplify]: Extracting #6: cost 32 inf + 24204 6.390 * * [simplify]: Extracting #7: cost 0 inf + 24884 6.396 * [simplify]: Simplified to: (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (cbrt (pow (+ (* x x) (* y y)) 2)) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (cbrt (pow (+ (* x x) (* y y)) 2)) (cbrt (+ (* x x) (* y y))) (cbrt (pow (+ (* x x) (* y y)) 2)) (cbrt (+ (* x x) (* y y))) (cbrt (pow (+ (* x x) (* y y)) 2)) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (cbrt (+ (* x x) (* y y))) (cbrt (pow (+ (* x x) (* y y)) 2)) (cbrt (fabs (pow (+ (* x x) (* y y)) 3/2))) (cbrt (fabs (pow (+ (* x x) (* y y)) 3/2))) 1 (+ (* x x) (* y y)) (cbrt (pow (+ (* x x) (* y y)) 3/2)) (cbrt (pow (+ (* x x) (* y y)) 3/2)) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (- (pow y 4) (* (* y x) (* y x)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) (cbrt (pow (+ (* x x) (* y y)) 2)) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (* (log (+ (* x x) (* y y))) 3) (* (log (+ (* x x) (* y y))) 3) 3 (pow (+ (* x x) (* y y)) (* (cbrt 3) (cbrt 3))) (pow (+ (* x x) (* y y)) (sqrt 3)) (+ (* x x) (* y y)) (pow (+ (* x x) (* y y)) 2) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3) 1 (pow (+ (* x x) (* y y)) 3) (pow (+ (* x x) (* y y)) 2) (* (log (+ (* x x) (* y y))) 3) (exp (pow (+ (* x x) (* y y)) 3)) (pow (+ (* x x) (* y y)) 2) (+ (* x x) (* y y)) (pow (pow (+ (* x x) (* y y)) 3) 3) (pow (+ (* x x) (* y y)) 2) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3) 1 (pow (+ (* x x) (* y y)) 3) (pow (+ (pow y 6) (pow x 6)) 3) (pow (+ (pow x 4) (- (pow y 4) (* (* y x) (* y x)))) 3) (pow (- (pow x 4) (pow y 4)) 3) (pow (* (+ x y) (- x y)) 3) (pow (+ (* x x) (* y y)) 2) (fabs (pow (+ (* x x) (* y y)) 3/2)) (fabs (pow (+ (* x x) (* y y)) 3/2)) (pow (+ (* x x) (* y y)) 3/2) (pow (+ (* x x) (* y y)) 3/2) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (cbrt (pow (+ (* x x) (* y y)) 2)) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (- (pow y 4) (* (* y x) (* y x)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0 (+ (+ (* (pow y 4) (* 3 (* x x))) (pow y 6)) (* (* 3 (pow x 4)) (* y y))) (+ (+ (* (pow y 4) (* 3 (* x x))) (pow y 6)) (* (* 3 (pow x 4)) (* y y))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 6.396 * * * [progress]: adding candidates to table 6.607 * [progress]: [Phase 3 of 3] Extracting. 6.607 * * [regime]: Finding splitpoints for: (# #) 6.607 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 6.607 * * * * [regimes]: Trying to branch on (* y y) from (# #) 6.636 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.679 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 6.704 * * * * [regimes]: Trying to branch on y from (# #) 6.730 * * * * [regimes]: Trying to branch on x from (# #) 6.772 * * * [regime]: Found split indices: #