5.454 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.021 * * [simplify]: iteration 0: 6 enodes 0.023 * * [simplify]: iteration 1: 7 enodes 0.025 * * [simplify]: iteration complete: 7 enodes 0.025 * * [simplify]: Extracting #0: cost 1 inf + 0 0.025 * * [simplify]: Extracting #1: cost 2 inf + 0 0.025 * * [simplify]: Extracting #2: cost 4 inf + 0 0.025 * * [simplify]: Extracting #3: cost 6 inf + 0 0.025 * * [simplify]: Extracting #4: cost 3 inf + 5 0.025 * * [simplify]: Extracting #5: cost 0 inf + 23 0.025 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.074 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.074 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [backup-simplify]: Simplify x into x 0.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.074 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.074 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.074 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.076 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.076 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.076 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 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 0.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.077 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.077 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (+ 0 1) into 1 0.080 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.080 * [taylor]: Taking taylor expansion of 1/2 in y 0.080 * [backup-simplify]: Simplify 1/2 into 1/2 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) 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 0 into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* y 1)) into y 0.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 0.086 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (sqrt 1) into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.094 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ 0 1) into 1 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of 1/2 in y 0.105 * [backup-simplify]: Simplify 1/2 into 1/2 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.123 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.123 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [backup-simplify]: Simplify x into x 0.124 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [backup-simplify]: Simplify (sqrt 1) into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [backup-simplify]: Simplify y into y 0.128 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ 0 1) into 1 0.131 * [backup-simplify]: Simplify (sqrt 1) into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.138 * [taylor]: Taking taylor expansion of 1 in y 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of 1/2 in y 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.150 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.150 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.150 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.151 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.160 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.160 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [backup-simplify]: Simplify x into x 0.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.162 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.163 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.182 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [backup-simplify]: Simplify x into x 0.184 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [backup-simplify]: Simplify y into y 0.184 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.204 * * * [progress]: simplifying candidates 0.205 * [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)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.206 * * [simplify]: iteration 0: 48 enodes 0.221 * * [simplify]: iteration 1: 142 enodes 0.294 * * [simplify]: iteration 2: 770 enodes 0.617 * * [simplify]: iteration complete: 5000 enodes 0.618 * * [simplify]: Extracting #0: cost 28 inf + 0 0.619 * * [simplify]: Extracting #1: cost 262 inf + 4 0.626 * * [simplify]: Extracting #2: cost 1739 inf + 155 0.639 * * [simplify]: Extracting #3: cost 1667 inf + 4154 0.654 * * [simplify]: Extracting #4: cost 347 inf + 16400 0.668 * * [simplify]: Extracting #5: cost 43 inf + 19427 0.682 * * [simplify]: Extracting #6: cost 0 inf + 19785 0.688 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* 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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow y 4) (* (* x x) (* (+ x y) (- x y)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.688 * * * [progress]: adding candidates to table 0.824 * * [progress]: iteration 2 / 4 0.824 * * * [progress]: picking best candidate 0.839 * * * * [pick]: Picked # 0.839 * * * [progress]: localizing error 0.841 * * * [progress]: generating rewritten candidates 0.841 * * * [progress]: generating series expansions 0.841 * * * [progress]: simplifying candidates 0.841 * [simplify]: Simplifying: 0.841 * * [simplify]: iteration 0: 0 enodes 0.841 * * [simplify]: iteration complete: 0 enodes 0.841 * * [simplify]: Extracting #0: cost 0 inf + 0 0.841 * [simplify]: Simplified to: 0.841 * * * [progress]: adding candidates to table 0.842 * * [progress]: iteration 3 / 4 0.842 * * * [progress]: picking best candidate 0.850 * * * * [pick]: Picked # 0.850 * * * [progress]: localizing error 0.855 * * * [progress]: generating rewritten candidates 0.855 * * * [progress]: generating series expansions 0.855 * * * [progress]: simplifying candidates 0.855 * [simplify]: Simplifying: 0.855 * * [simplify]: iteration 0: 0 enodes 0.855 * * [simplify]: iteration complete: 0 enodes 0.855 * * [simplify]: Extracting #0: cost 0 inf + 0 0.855 * [simplify]: Simplified to: 0.855 * * * [progress]: adding candidates to table 0.856 * * [progress]: iteration 4 / 4 0.856 * * * [progress]: picking best candidate 0.860 * * * * [pick]: Picked # 0.861 * * * [progress]: localizing error 0.862 * * * [progress]: generating rewritten candidates 0.862 * * * [progress]: generating series expansions 0.862 * * * [progress]: simplifying candidates 0.862 * [simplify]: Simplifying: 0.862 * * [simplify]: iteration 0: 0 enodes 0.862 * * [simplify]: iteration complete: 0 enodes 0.862 * * [simplify]: Extracting #0: cost 0 inf + 0 0.863 * [simplify]: Simplified to: 0.863 * * * [progress]: adding candidates to table 0.863 * [progress]: [Phase 3 of 3] Extracting. 0.863 * * [regime]: Finding splitpoints for: (# # # #) 0.863 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.863 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.941 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.983 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.050 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.109 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 1.140 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # #) 1.175 * * * * [regimes]: Trying to branch on y from (# # # #) 1.234 * * * * [regimes]: Trying to branch on x from (# # # #) 1.286 * * * [regime]: Found split indices: #